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A NOVEL METHONODLOGY FOR THE SYNTHESIS OF OPTIMAL BIOCHEMICALS IN INTEGRATED BIOREFINERIES VIA INVERSE DESIGN TECHNIQUES Lik Yin Ng, Viknesh Andiappan, Nishanth Chemmangattuvalappil, and Denny K. S. Ng Ind. Eng. Chem. Res., Just Accepted Manuscript • DOI: 10.1021/acs.iecr.5b00217 • Publication Date (Web): 07 May 2015 Downloaded from http://pubs.acs.org on May 17, 2015
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A NOVEL METHODOLOGY FOR THE
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SYNTHESIS OF OPTIMAL BIOCHEMICAL IN
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INTEGRATED BIOREFINERIES VIA INVERSE
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DESIGN TECHNIQUES
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Lik Yin Ng, Viknesh Andiappan, Nishanth G. Chemmangattuvalappil*, Denny K. S. Ng
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Department of Chemical and Environmental Engineering/
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Centre of Sustainable Palm Oil Research (CESPOR),
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The University of Nottingham Malaysia Campus, Broga Road, Semenyih 43500, Malaysia.
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ABSTRACT
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The recent developments of process synthesis and design for integrated biorefineries have
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significantly increased the potential of biomass to generate sustainable renewable energy as an
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alternative source for fossil fuels. In addition, biomass can be converted into various value-
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added products (e.g., biochemical, biomaterials, biosolvent etc.). To ensure the sustainable
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production of energy and value-added products, biomass is converted into commodity and
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specialty products in an integrated biorefinery. However, due to the increase in the number of
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potential products, new reactions and technologies, determining of optimum products and
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processing routes in an integrated biorefinery has become more challenging. Therefore, it is
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essential to develop a systematic approach to address the abovementioned issues. In this work, a
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novel two-stage optimisation approach has been developed to design optimal biochemical
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products and synthesise optimum biomass conversion pathways in an integrated biorefinery. In
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the presented approach, optimal biochemical products that meet the customer requirement are
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first determined via signature based molecular design techniques.
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conversion pathways that convert biomass into biochemical products which are identified in the
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previous step can be determined via superstructural mathematical optimisation approach. A case
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study of bio-based fuel production from palm-based biomass is solved to illustrate the proposed
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approach.
In addition, optimum
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KEYWORDS
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Integrated biorefinery, process synthesis and design, product design, inverse design techniques,
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integrated product and process design.
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1. INTRODUCTION
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In recent decades, declining fossil fuel (petroleum, natural gas and coal) reserves and increasing
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environmental issues have fuelled the search of sustainable, renewable and clean sources of
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energy1. One of the promising solutions is the use of biomass for producing fuels and energy.
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Biomass is a biological material that is found in natural and derived materials2. It is a renewable,
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potentially sustainable and relatively environmentally friendly source of energy3. Biomass can
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exist in different forms such as energy crops, forestry waste and municipal solid waste depending
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on the local geographic conditions. Other than being utilised for power and heat generation,
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these biomasses can be converted into various value-added products. For instance, palm-based
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biomass (e.g. empty fruit brunch, palm kernel shell, palm oil fibre etc.) which are produced from
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palm oil industry can be converted into bioplastic, biobriquettes, biomaterials, biochemical etc.4.
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This can be done by a flexible processing facility known as biorefinery. According to Kamm et
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al.5, biorefinery is a system made up from sustainable and environmentally benign technologies
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to utilise biomass. A biorefinery is used to convert a wide range of biomass into fuels, power
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and more importantly, value-added products through physical, biological/biochemical and
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thermochemical conversion processes6.
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characteristics, many possible processing technologies are available to convert biomass into
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value-added products7.
As biomass is available in different forms and
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In the last decade, many well established single conversion technologies have been developed for
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processes that convert biomass into value-added products.
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produced by transesterification of vegetable oils and methanol in the presence of catalyst. These
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standalone plants are usually limited in product portfolios, and often result in low and under
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satisfactory economic performance8. In order to increase the productivity and cost effectiveness,
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an efficient and sustainable integrated biorefinery has been proposed by Fernando et al.9.
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Integrated biorefinery is a facility which integrates multiple platforms such as biomass feedstock
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handling, biomass pretreatments, biomass conversion processes and downstream processing as a
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whole integrated system10. The waste generated from integrated biorefinery can be minimised,
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while energy and material recovery can be maximised. As more biomass conversion reactions
For example, biodiesel can be
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and technologies are being developed and established, more reaction pathways have to be
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considered while designing and developing an integrated biorefinery.
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screening tools are needed to reduce the numbers of available pathways and select the optimum
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pathways that lead to the production of desired products based on different objectives. Ng et
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al.11 presented a hierarchical approach to synthesise and screen the potential alternatives for an
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integrated biorefinery. In the presented work11, two screening tools (evolutionary technique and
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forward-reverse synthesis tree) are proposed to reduce the process alternatives systematically.
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Ng12 presented an optimisation approach based on pinch analysis to synthesise an integrated
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biorefinery with maximised biofuel production and economic performance. Later, automated
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targeting approach was extended by Tay and Ng13 to handle multiple process parameters. On the
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other hand, Tay et al.14 adapted the use of the C-H-O ternary diagram to determine the overall
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performance of the synthesised integrated biorefineries.
Thus, systematic
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In addition to the insight-based approaches, various mathematical optimisation approaches have
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been developed for the synthesis of integrated biorefinery. For example, Bao et al.15 presented a
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systematic approach based on technology pathway synthesis to determine the optimum pathway
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that achieves the highest conversion. Later, Pham and El-Halwagi16 presented a systematic two-
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stage approach for the synthesis and optimisation of biorefinery configurations. The presented
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approach is based on the concept of “forward and backward” approach. In the presented work16,
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forward synthesis has been used to identify the possible intermediates that can be synthesised
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from biomass while the backward synthesis identifies the necessary species and pathways
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leading to the desired components identified in the forward synthesis stage. Later, a new concept
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of a palm oil processing complex which integrates the entire palm oil processing industry to
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maximise the material recovery has been developed17. Other than economic performance, a
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number of other aspects such as environmental impact, safety and health impacts as well as
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supply chain during the synthesis of integrated biorefineries have been considered by different
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researchers while synthesising and designing the integrated biorefineries. Sammons et al.18
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developed a framework to improve the product portfolio by evaluating the profitability of
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different production routes and products based on maximisation of net present value and
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minimisation of environmental impact. Zondervan et al.19 presented a mixed-integer nonlinear
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programming (MINLP) model for the design of optimal processing routes for multi-product
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biorefinery system by considering different feedstock, processing steps, final products and
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optimisation objectives.
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approach for optimal biorefinery pathway configuration for a given criterion such as economic,
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environmental, and safety consideration. The proposed approach can systematically solve a
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complex synthesis problem by decomposing the main problem into a set of subproblems. El-
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Halwagi et al.21 introduced an approach that considers the effects of safety and economy into the
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selection, sizing and supply chain network of a biorefinery. Amundson22 presented an approach
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for the modelling of biorefinery supply chain economic performance by using discrete event
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simulation. The approach utilises the outputs from chemical process simulation and optimisation
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as well as supply chain optimisation in developing an integrated supply chain design framework.
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The application of the developed supply chain design framework was shown by using an
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assessment of region specific biorefineries.
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disciplinary decision support tool for the evaluation of multiple biorefinery conversion
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technologies and supply chain performance.
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process systems engineering and supply chain optimisation have been included in the approach
Later, Ponce-Ortega et al.20 developed a disjunctive programming
Later, Sukumara et al.23 proposed a multi-
Design aspects such as feedstock assessment,
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to estimate the production cost of chemicals, energy and fuel from various renewable resources
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in a specific geographic region.
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It can be seen that the focus of current research is mainly on identifying the optimal processing
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routes that lead to the product but not on the product itself. Minimal effort has been done on
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addressing the design of optimal products for an integrated biorefinery. However, a lot of
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research has been done on integrating the process design with product design techniques.
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Hostrup et al.24 developed a hybrid method which integrates mathematical modelling with
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heuristic approaches for separation process flow sheet design by considering solvent and process
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performance simultaneously. Simultaneous consideration of process constraints and property
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requirements while designing blanket wash solvent has been developed by Sinha and Achenie25.
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Papadopoulos and Linke26 presented a multi-objective optimisation approach for solvent design
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with consideration of separation process performance. The complexity of chemical product
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design problems has been addressed by problem decomposition strategy by different researchers.
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Karunanithi et al.27 applied the method to crystallisation solvent design which is solved together
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with performance objectives. The same method is also adapted by Conte el al.28 in developing a
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virtual product-process design laboratory software for the design of formulated liquid products
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which is able to design/verify a formulated product. Meanwhile, Bommareddy et al.29 developed
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an algebraic approach for product design problems by solving two reverse problems. The
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approach identifies the input molecules’ property targets based on the desired process
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performance in the first step.
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identified targets have been determined.
In the second step, the molecular structures that match the
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It is realised that most of the previous works do not consider customer needs in producing value-
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added products in an integrated biorefinery. Most of the works have focused on process design
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aspect of designing an integrated biorefinery where the attention is mainly on identifying and
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designing the optimal processing routes that lead to the product without considering the product
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design aspect of the integrated biorefinery.
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biorefinery, the product design aspect has to be considered. Product design can be studied and
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utilised to address the abovementioned issues. Therefore, this work aims to fill the research gap
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by synthesising an integrated biorefinery that is able to produce value-added products that meet
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customer requirements.
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biorefinery with chemical product design.
In order to synthesise an optimal integrated
This can be achieved by integrating the design of an integrated
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2. COMPUTER-AIDED MOLECULAR DESIGN
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Chemical product design is the process of choosing the optimal product to be made for a specific
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application30.
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approach which is usually based on design heuristics, experimental studies and expert
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judgements or experiences31. These methods start from the identification of molecules from raw
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materials, and search for the required and preferred properties from the identified molecules. On
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the contrary, chemical products can be designed via the top-down approaches.
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approaches are reverse engineering approaches which begin the chemical product design
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procedure with identification of product needs to fulfil, followed by the search for molecules that
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possess properties which can meet the needs32. This can be considered as an inverse property
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prediction problem where the desired attributes of the chemical product are represented in terms
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of the physical properties of the molecule. Hence, in inverse property prediction problems, the
The usual practise in searching for new chemical products is a bottom-up
Top-down
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objective of the problem is to determine the molecular structure that matches these properties33.
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Since customer needs are one of the important sources of product specification and requirements,
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it is required to translate the descriptive product attributes into measurable physical properties in
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order to design a product34. This process of representing product attributes by using measurable
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product properties is often done by using various computer-aided molecular design (CAMD)
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tools.
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CAMD techniques are important for chemical product design for their ability in predicting and
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designing molecules within a set of predefined target properties35.
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normally done by utilising property prediction models in predicting molecular properties from
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structural descriptors36. Some of the commonly used structural descriptors to quantify molecular
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structure include chemical bonds and molecular geometry
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utilise property prediction models based on group contribution (GC) methods to verify that the
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generated molecules possess the specified set of target properties38. By utilising molecular
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groups as structural descriptors, GC methods estimate the property of a molecule by summing up
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the contributions from the molecular groups in the molecule according to their appearance
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frequency39. A general representation of property prediction model based on GC methods is
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illustrated with eq 1.
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. Most of the CAMD techniques
f ( X ) = ∑ N i C i + w∑ M j D j + z ∑ O k E k i
j
Property estimation is
k
(1)
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In eq 1, f(X) is a function of the property X, w and z are binary coefficients depending on the
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levels of estimation, Ni, Mj, Ok are the number of occurrence of first, second and third-order
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molecular group correspondingly and Ci, Dj, Ek are contribution of first, second and third-order
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molecular groups subsequently. In addition to GC methods, property prediction of molecules
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can be done based on different topological indices (TIs).
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calculated based on the principles in chemical graph theory40. Chemical graph theory represents
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the atoms and bonds in a molecule as vertices and edges in a graph. Based on the molecular
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structure, important information such as total number of atoms, bonding between the atoms and
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types of atoms and bonds can be determined. TIs describe a molecular graph as an index by
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utilising the interactions among different atoms/molecular groups based on their connectivity and
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the effects due to these interactions. The indices can be used to correlate the chemical structure
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to physical properties of the molecule. As TI for a molecular graph is consistent, it is useful in
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characterising a chemical structure40.
TIs are molecular descriptors
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Due to their ability in predicting and designing molecules within a set of predefined target
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properties, CAMD techniques are widely used during the pre-design stage for the screening of
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possible molecular structures. Numerous CAMD techniques have been developed and applied in
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the design of numerous chemical products. These includes the design of crystallisation solvent27,
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environmental benign blanket solvent25, polymer products41, alternative refrigerants42 and
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working fluid for organic Rankine cycle43. In some chemical product design problems, the
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desired target properties could not be estimated by using a single class of property prediction
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model. Hence, different classes of property prediction models are required for the estimation of
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different target properties in the design problem.
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exclusive for different property prediction models. While GC methods estimate property by
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summing up the contributions from the molecular groups in the molecule according to their
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appearance frequency, estimations of TIs involve the operations on vertex-adjacency matrix44.
However, mathematical formulations are
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Therefore, it is difficult to utilise these different models by using a similar calculation method41.
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This difficulty is addressed by utilising molecular signature descriptor as structural descriptors 45.
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Signature is a systematic coding system to represent the atoms in a molecule by using the
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extended valencies to a pre-defined height. Eq 2 represents the relationship between a TI and its
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signature. TI ( G ) = k hα G ⋅ TI [ root ( h Σ )]
(2)
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Here, hαG is the occurrence number of each signature of height h and TI[root (hΣ)] is the TI
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values for each signature root and k is a constant specific to TI. Signature of a molecule can be
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obtained as a linear combination of its atomic signatures by representing a molecule with atomic
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signature. By writing a molecule in terms of signature, GC methods and TIs with different
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mathematical formulations can now be expressed and utilised on a common platform. The
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application of molecular signature is important for chemical product design problem which
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involve multiple property targets which are required to be estimated by different classes of
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property prediction models46. In order to utilise molecular signature descriptors in a molecular
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design problem, signature-based molecular design technique developed by Chemangattuvalappil
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et al.46 is applied in this work.
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3. METHODOLOGY: TWO-STAGE OPTIMISATION APPROACH FOR SYNTHESIS OF OPTIMAL BIOCHEMICALS
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In order to ensure the optimum pathways that convert biomass into biochemical products with
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optimised properties of interest, a novel two-stage optimisation approach has been developed by
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integrating molecular design technique with synthesis approach for integrated biorefineries. In
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the first stage, a chemical product design problem is formulated to determine the favourable
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products that meet customer requirements. Based on the identified products in the first stage, the
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optimum conversion pathways that convert biomass into the optimal products are determined in
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the second stage based on superstructure mathematical optimisation approach. Figure 1 shows
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the integration of synthesis of integrated biorefinery with molecular design.
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Figure 1. Integration of synthesis of integrated biorefinery with product design.
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As shown in Figure 1, in order to utilise this two-stage optimisation approach, the optimum
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biochemical products that meet the customer requirements are first identified in the first stage of
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the optimisation approach. Based on the customer requirements, the product needs are translated
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into a set of property constraints which represent the product specifications.
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constraints are applied to guarantee complete formation of the molecular structure of the product.
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The optimal products which satisfy property and structural constraints are identified by utilising
Structural
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the signature based molecular design technique developed by Chemmangattuvalappil et al.46
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Once the optimal products are determined, identification of the optimum pathways that convert
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biomass into the optimal products can then be determined in the second stage of the optimisation
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approach. Based on the available conversion pathway and technologies, a superstructure is
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constructed as a representation of integrated biorefinery.
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mathematical optimisation approach, optimal conversion pathways based on different design
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goals such as economic potential, production yield, environmental impact etc. can be determined
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in this stage. By combining the strengths from both sides, this two-stage optimisation approach
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is able to determine the optimum conversion pathways that convert biomass into biochemical
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products that meet customer requirements.
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identification of optimal biochemical as well as the conversion pathways is represented in a
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flowchart as shown in Figure 2. Details of the proposed two-stage optimisation approach are
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discussed in the following sub-sections.
By using the superstructural
The step by step procedure involved in the
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Figure 2. Procedure for solving a two-stage optimisation problem for the synthesis of optimal
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biochemical product.
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3.1.STAGE 1: DESIGN OF OPTIMAL BIOCHEMICAL
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In this stage, the optimal biochemical product is designed by utilising signature based molecular
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design techniques. Note that the procedure is designed specifically for product design problems
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where different classes of property prediction models are used and the molecular structure of the
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product is represented by using molecular signature descriptor. The details for the design of
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optimal biochemical product are discussed as follows.
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3.1.1. DEFINE OBJECTIVE FOR THE PRODUCT DESIGN PROBLEM
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As shown in Figure 2, the first step in solving the product design problem is to define the
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objective. This is done by identifying the product needs. These product needs can be extracted
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from the operating conditions of an industrial process or from customer requirements. The
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product needs cover the physical properties which are responsible for a particular functionality of
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the product as well as properties that make sure that the product fulfils the environmental and
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safety regulations. For example, in order to design an effective refrigerant, the performance of
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the refrigerant should be high while the power requirement for the refrigerant is preferred to be
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low. In addition, the refrigerant should not be harmful to the environment and should be safe to
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use. Hence, the objective of the design problem can be the optimisation of any target property or
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performance criterion.
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3.1.2. IDENTIFY TARGET PROPERTIES AND DETERMINE TARGET PROPERTY RANGES
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Once the product needs and the objective of the product design problem have been identified, the
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identified descriptive product needs are translated into measurable physical properties. For
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example, during the design of a refrigerant, the performance of the refrigerant can be expressed
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as volumetric heat capacity while the power requirement of the refrigerant can be measured as
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viscosity. The volumetric heat capacity should be high so that the amount of refrigerant required
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is reduced for the same refrigeration duty whilst the viscosity is preferred to be low to achieve
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low pumping power requirement. On the other hand, ozone depletion potential (ODP) and
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median lethal dose/concentration (LD50/LC50) can be used to ensure that the designed refrigerant
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is environmentally benign and safe to be used. These target properties are then expressed as a
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property specifications, which can be written as a set of property constraints bounded by an
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upper and lower limit. For example, while designing a gasoline blend, the Reid vapour pressure
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is designed to fall within 45 kPa and 60 kPa and the desired viscosity should fall within 0.30 cP
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and 0.60 cP. The property specifications for a product design problem can be generalised and
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shown in eq 3.
v Lp ≤ V p ≤ v Up
∀p ∈ P
(3)
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Here, p is the index for the target property, Vp is the target property value, v Lp is the lower limit
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and v Up is the upper limit for product target property. By following eq 3, an optimal solution is
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identified within the predefined target property ranges while solving a product design problem.
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3.1.3. IDENTIFY APPROPRIATE PROPERTY PREDICTION MODELS
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After the identification of target properties from the product needs, property prediction models
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which estimate the target properties of the product can be identified. This work utilises signature
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based molecular design techniques which allow the utilisation of different classes of property
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prediction models. Hence, property prediction models developed from the GC method or TIs
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can be utilised for the prediction of target properties. The target properties can be written as
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functions of property prediction models developed from GC method or TIs, as shown in the
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following equation. θ p = f (GC / TI )
∀p ∈ P
(4)
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In eq 4, θ is the property function corresponding to target property p. For target properties where
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property prediction models are unavailable, models which combined experimental data and
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available property prediction models can be developed to estimate the respective property.
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3.1.4. SELECT MOLECULAR BUILDING BLOCKS
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Suitable molecular building blocks for the product design problem are determined in this step.
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The molecular building blocks have to be chosen such that the properties and molecular structure
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of the new product are similar to the available product from where the molecular building blocks
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are selected. It is assumed that by designing a new molecule with the chosen molecular groups
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as building blocks, the designed product will possess the properties and functionalities of the
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desired product. For example, in order to design an alcohol solvent, molecular group –OH is
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chosen as one of the molecular building blocks as it is the functional group of alcohol. As the
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308
product design methodology employs signature based molecular design technique, signatures
309
corresponding to the selected molecular groups are then generated.
310 311 312
3.1.5. FORM
THE
PROPERTY
PREDICTION
MODELS
AS
NORMALISED
PROPERTY OPERATORS
313
The next step is to express the property prediction models as normalised property operators.
314
Normalised property operators are dimensionless property operators, which are required so that
315
different target properties can be expressed and compared together on the same property
316
platform47. According to Shelley and El-Halwagi47, property operators are functions of the
317
original properties tailored to obey linear mixing rules. Hence, a property operator will follow
318
simple linear mixing rules regardless of the linearity of the original property.
319
specifications in eq 3 can be written as normalised property operators as shown in eq 5.
Ω pL ≤ Ω p ≤ Ω pU
∀p ∈ P
Property
(5)
320
Here, Ωp is the normalised property operator for property p, Ω Lp is the lower limit and Ω pU is the
321
upper limit for the normalised property operator. As the signature based molecular design
322
technique is employed in this developed methodology, normalised property operators are used to
323
express molecules as linear combinations of atomic signatures.
324 325
3.1.6. DEVELOP STRUCTURAL CONSTRAINTS
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326
Apart from satisfying the properties constraints, the targeted molecule should have a feasible and
327
stable chemical structure which is formed from a collection of molecular signatures46. Hence,
328
structural constraints are generated based on graph theory principles in order to enable the
329
formation of a complete molecule. Firstly, it is ensured that the generated molecule is complete
330
without any free bond in the structure40. This is illustrated with eq 6. n2 n3 n4 N Mi NTi N S 1 N Di + + + = + + + x 2 x 3 x 4 x 2 x x x ∑ ∑ ∑ ∑ i i i i ∑ i 2 ∑ i ∑ i ∑ xi − 1 + R i =1 n1 n2 n3 i =0 i =0 i =1 i =1 n1
(6)
331
In eq 6, n1, n2, n3 and n4 are the number of signatures of valency one, two, three and four
332
respectively, Ns is the total number of signatures in the molecule, NDi, NMi and NTi are the
333
signatures with one double bond, two double bonds and one triple bond, R is the number of
334
circuits in the molecular graph. In addition, it must be ensured that the signatures in the solution
335
set is consistent. In order to ensure the consistency of signatures, one of the properties of
336
digraph known as handshaking dilemma is used. By following handshaking dilemma, the sum of
337
the in-degrees of all the vertices of a digraph will be equal to the sum of their out-degrees48. This
338
can be shown in eq 7.
∑ (l
i
→ l j )h =
∑ (l
j
→ l i )h
(7)
339
In eq 7, (li → lj)h is one colouring sequence li → lj at a level h. Eq 7 must be obeyed for all
340
colour sequences at each height. This guarantees that the number of bonds in each signature will
341
match with the bonds in the other signatures. This is explained in Figure 3.
342
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343 344
Figure 3. Explanation of handshaking dilemma.
345
In Figure 3, the presented signatures consist of signatures with carbon atom as root atom with
346
one (C1), two (C2), three (C3) and four (C4) neighbouring atom(s). As shown in Figure 3, the
347
edges of the signatures have the colours of 1 and 2. The reading of colouring sequence for
348
signature S1 will be 1→2, 2→2 and 2→1 for signature S2, 2→3 and 2→1 for signature S3 and
349
2→4 and 2→1 for signature S4. According to the handshaking dilemma, each colour sequence
350
(e.g. 1→2) has to be complemented with another colouring sequence in reverse order (e.g. 2→1)
351
to ensure linkage and consistency of the signatures. By obeying the structural constrains, a
352
complete molecular structure without any free bonds can be formed from the combination of
353
signatures. The using of molecular signatures in molecular design and the connectivity rules of
354
signatures are discussed in detail by Chemmangattuvalappil and Eden 49.
355 356 357
3.1.7. GENERATE FEASIBLE SOLUTIONS BY SOLVING THE MATHEMATICAL MODEL
358
Now, mathematical model can be formulated to solve the molecular design problem, where the
359
objective function is to maximise/minimise the preferred target property Ωp, as shown in eq 8.
Maximise/Minimise Ωp
(8)
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360
For example, in order to design a refrigerant with high volumetric heat capacity, the objective
361
function for the mathematical model can be formulated to maximise the volumetric heat capacity
362
while fulfilling other target property ranges. On the other hand, the objective function can be
363
formulated to minimise the viscosity in order to achieve low pumping power requirement.
364
Subject to property and structural constraints, the objective function is solved to determine the
365
solution for the product design problem. The solution is obtained in terms of the number of
366
appearances of signatures.
367 368
3.1.8. ENUMERATE THE MOLECULAR STRUCTURE
369
With the signatures obtained by solving the design problem, a molecular graph can now be
370
generated from the set of signatures based on the graph signature enumeration algorithm by
371
Chemmangattuvalappil and Eden49.
372
structures are generated from the list of signatures, and the names of the new molecules are
373
identified. Figure 4 shows an example for the enumeration of molecular structure for propan-1-
374
ol.
By using the graph enumeration algorithm, molecular
OH H3C
375 376
Figure 4. Enumeration of structure for propan-1-ol.
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Four signatures are presented in Figure 4. Signature C2(C2(CC)O1(C)) has signatures C2(CC)
378
and O1(C) as its neighbouring signatures; signature C1(C2(CC)) has signature C2(CC) as its
379
neighbouring signature; signature O1(C2(OC)) has signature C2(OC) as its neighbouring
380
signature while signature C2(C1(C)C2(OC)) has signatures C1(C) and C2(OC) as its
381
neighbouring signatures. By using the graph enumeration algorithm, these signatures can be
382
enumerated and the molecular structure of propan-1-ol can be formed. Detailed instructions for
383
the enumeration of molecular structure are provided in the work of Chemmangattuvalappil and
384
Eden49.
385 386
3.2.STAGE 2: DESIGN OF INTEGRATED BIOREFINERY
387
Once the optimal biochemical products which meet the customer requirements are identified in
388
the first stage, the optimal biomass conversion pathways to produce the biochemical products are
389
identified in the second stage of the optimisation approach.
390
superstructural mathematical optimisation approach. First, the objective of this second stage of
391
the optimisation approach is defined, as shown in Figure 2. The objective for the design of
392
integrated biorefinery can be aimed to maximise the yield of the desired product. Other than
393
maximising the yield of the desired product, maximum economic performance can also be
394
targeted as one of the design objectives during the configuration of the integrated biorefinery.
395
Next, information of all the possible conversion pathways and technologies that convert biomass
396
to intermediates and from intermediates to the final products are compiled. Based on the
397
considerations such as product manufacturability and process feasibility, the compiled
398
conversion pathways are screened to filter the redundant processes and select the feasible ones to
399
be included in the construction of superstructure. Now, a superstructure which includes all the
This is done by utilising the
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400
conversion pathways and technologies can then be constructed as the representation of an
401
integrated biorefinery, as shown in Figure 5.
402 403
Figure 5. Superstructure as representation of integrated biorefineries.
404
Figure 5 illustrates a general superstructure of an integrated biorefinery with biomass feedstock b
405
converted through pathways q to produce intermediates s, and further processed via pathways q’
406
to produce products s’. The mathematical model which relates the flow of biomass through
407
different conversion pathways to produce the products can now be formulated. This is explained
408
and discussed as follows.
409 410
Biomass feedstock b can be split to biomass conversion pathway q with their respective flowrate
411
FbqI by using eq 9.
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BbBio = ∑ FbqI
∀b
(9)
q
412
In eq 9, BbBio is the available total flowrate of biomass feedstock b. After going through the
413
biomass conversion pathway q, intermediate s is generated based on the conversion rate of
414
Inter conversion pathway q, Rbqs . This gives a total intermediate production rate of Ts , as shown in
415
eq 10.
I
(
I TsInter = ∑∑ FbqI Rbqs q
)
∀s
(10)
b
416
Subsequently, the intermediate s is further converted to product s’ via upgrading pathway q’.
417
The splitting of total production rate of intermediate TsInter to all possible pathway q’ with
418
flowrate Fsq' can be represented by eq 11.
II
TsInter = ∑ FsqII'
∀s
(11)
q'
419
The total production rate of product s’, TsProd can be determined based on the given conversion '
420
rate of pathway q’, Rsq's' via eq 12.
II
(
TsProd = ∑∑ FsqII' RsqII 's' ' q'
)
∀s'
(12)
s
421
By following eqs 9 – 12, the material balance of the biomass, intermediates and final products
422
can be performed. Thus, an integrated biorefinery can be represented by using the developed
423
superstructure.
424
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425
After the construction of superstructure, methods to measure the process performances are
426
identified. The objective of this second stage of the optimisation approach is to determine the
427
optimal conversion pathways that convert biomass into the optimal products identified in the first
428
stage of the methodology. As mentioned earlier, the optimality of the conversion pathways can
429
be aimed to maximise the yield of the desired product. This can be determined by using the
430
equation as shown in eq 13. Maximise T sProd '
(13)
431
In addition, maximum economic performance can also be aimed as one of the design goals
432
during the configuration of the integrated biorefinery. Economic performance can be defined
433
with the following equations. Maximise GP Total
(14)
Prod GPTotal = ∑TsProd − ∑BbBioGbBio − TAC ' Gs' s'
TAC = TACC + TAOC TACC =
∑∑F G
(16)
∑∑F
I Cap bq bq CRF +
q
b
II Cap sq'Gsq' CRF
q'
s
Opr TAOC = ∑∑ FbqI Gbq +∑∑ FsqII' GsqOpr' q
(15)
b
b
q'
s
(17)
(18)
434
In eqs 14 – 18, GPTotal is the gross profit of the overall integrated biorefinery configuration, TAC
435
is the total annualised cost, TACC is the total annualised capital cost, TAOC is the total
436
Prod Bio annualised operating cost, CRF is the capital recovery factor, Gs' is the cost of product s’, Gb
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Cap
Cap
437
is the cost of biomass feedstock b, Gbq is the capital cost for conversion of biomass b, Gsq' is
438
the capital cost for conversion of intermediate s, Gbq is the operating cost for conversion of
439
biomass b, Gsq' is the operating cost for conversion of intermediate s.
Opr
Opr
440 441
Now, a mathematical model for the design of integrated biorefinery can be formulated. By
442
solving the developed mathematical model based on different objective functions, the optimal
443
conversion pathways that lead to the desired optimal products can be determined in this stage.
444
For cases where the conversion pathway leads to the formation of products as a mixture of
445
several components, separation processes are included. These separation processes are taken
446
into account to refine and separate the final product from the other by-products based on the
447
results obtained from the design of product in stage 1 of the methodology. With the available
448
information, different objectives (e.g. economic performance, environmental impact, process
449
safety etc.) can be considered and included in the development of the superstructure. For
450
situations where the identified products cannot be produced in a feasible method (e.g. in terms of
451
economic potential, manufacturability etc.), an iterative identification of optimal product and its
452
conversion pathways is required, as shown in Figure 2. In such situations, the overall design
453
problem has to be repeated from Step 2 of the product design problem, where the target property
454
and target property ranges are re-evaluated. Other than identifying the optimal product and
455
feasible optimal conversion pathways, the iterative process also provides comparison and
456
tradeoff between multiple options of the products and conversion pathways.
457
pathways can be generated based on different design goals such as manufacturability of the
458
product and economic feasibility of the processing routes. For instance, when the optimal
Alternative
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459
product in terms of customer requirements cannot be produced economically, iteration of the
460
design problem can be applied to identify the best product which can be manufactured in a cost
461
effective manner.
462 463
The developed methodology decomposes the integrated product and process design problem into
464
two design problems and solves them sequentially in two stages. This approach offers the
465
identification of optimal biochemical products in terms of target product properties as well as
466
optimal conversion pathways that convert the biomass into the biochemical products. Although
467
a feedback loop might be required, the computational complexity of this developed approach is
468
lower compared with solving the product and process design problem simultaneously. An
469
algebraic approach for the simultaneous solution of process and molecular design problems
470
developed by Bommareddy et al. (2010) can be utilised to solve the product and process design
471
simultaneously. However, simultaneous solution is not considered in this work. In addition, it is
472
aware that the composition of biomass is complex, and the conversion reactions involved are
473
difficult to be defined straightforwardly. Please note that this approach serves as a general
474
representation and idea to integrate the synthesis of integrated biorefinery with product design.
475
Hence, for ease of illustration, side reactions, additional reactants required and intermediate
476
products with complex chemical structure are not considered in the presented approach.
477 478
This developed novel methodology provides the identification of optimal biochemical products
479
in terms of target product properties as well as the selection of optimal conversion pathways that
480
convert biomass to the biochemical products. By utilising molecular signature descriptor, this
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481
methodology offers the simultaneous utilisation of different classes of property prediction
482
models for the design of optimal biochemical products. In addition, an integrated biorefinery
483
which produces biochemical products which fulfil the required product needs can be synthesised
484
by using the developed methodology. In order to show the efficacy of the methodology, a case
485
study is presented.
486 487
4. CASE STUDY
488
A product design problem of producing bio-based fuel from biomass is solved to illustrate the
489
proposed two-stage optimisation approach. In the first stage, molecular signatures are used to
490
represent different classes of property prediction models in designing bio-based fuel with optimal
491
target properties. In the second stage, the optimum conversion pathways in terms of different
492
production objectives that convert biomass into the designed bio-based fuel are identified. In
493
order to demonstrate the efficacy of the methodology, the conversion pathways of an integrated
494
biorefinery are synthesised for two scenarios: conversion pathways for maximum product yield
495
and conversion pathways for maximum economic potential. For the ease of illustration, the bio-
496
based fuel is targeted and designed as a single component bio-based fuel in this case study.
497 498
4.1.DESIGN OF OPTIMAL PRODUCT
499
The bio-based fuel is designed in terms of different product needs. The first is engine efficiency,
500
which can be measured as octane rating. Octane rating is a measure of a fuel’s ability to resist
501
auto-ignition and knock in a spark-ignited engine conditions. Higher octane rating helps vehicle
502
to run smoothly and keep the vehicles’ fuel system clean for optimal performance. In addition,
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503
octane rating is the main property that sets the price of bio-based fuel. In this case study,
504
research octane number (RON) is used as the indication of octane rating of the fuel.
505
Furthermore, it is very important for a bio-based fuel to be safe to use.
506
flammability characteristics and toxicity of the bio-based fuel are also taken into consideration,
507
which are measured as flash point (Tf) and lethal concentration (logLC50) respectively.
508
Meanwhile, latent heat of vaporisation (Hv) and viscosity (η) of the bio-based fuel are the other
509
target properties that are considered during the product design stage to ensure the consistency of
510
the fuel flow as well as the stability of the bio-based fuel. Since higher RON bio-based fuel is
511
desirable as it enables improved engine efficiency, the objective of this case study is to design a
512
bio-based fuel with maximised RON. Hence, RON is target property to be optimised while Tf,
513
logLC50, Hv and η are property constraints to be fulfilled. The target property ranges for each of
514
the target property are shown as follows.
515
Table 1. Upper and Lower Bounds for Solvent Design.
Property
Therefore, the
Target property range v Lp
v Up
516
Tf (K) 230.00 350.00 logLC50 1.00 2.00 Hv (kJ/mol) 25.00 55.00 η (cP) 0.10 3.00 After identifying the target properties for the product, property prediction models for each target
517
properties are identified. In order to illustrate the ability of the methodology to utilise different
518
classes of property prediction models in a design problem, property prediction models based on
519
GC methods and connectivity index (CI), which is one of the commonly used TIs are chosen to
520
estimate the target properties. For RON, a reliable group contribution is available50. This is
521
illustrated with eq 19.
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2
3
4
f ( X ) = a + b ∑ Ni Ci − c ∑ N i Ci + d ∑ N i Ci + e ∑ N i Ci + f / ∑ N i Ci i i i i i
(19)
522
In eq 19, a, b, c, d, e, f are the correlation constants. Since the values of the constant c, d, e, f are
523
relatively insignificant, only the first two terms of eq 19 will be considered for this case study.
524
CI of order zero is available for the prediction of Tf
525
in eq 21.
51
as shown in eq 20 and logLC5052 as shown
T f = 33.638 0 χ + 164.386
( )
(20)
log LC50 = 4.115 − 0.762(0χ )
(21)
526
where 0χ is the zeroth order CI. GC model developed by Marrero and Gani53 is utilised to predict
527
Hv while GC model developed by Conte et al.54 is used for the estimation of η. These property
528
prediction models are shown in eqs 22 and 23. Hv0 in eq 22 is an adjustable parameter.
H v = H v0 + ∑ N i Ci + w∑ M j D j + z ∑ Ok Ek i
j
k
lnη = ∑ N i Ci + w∑ M j D j + z ∑ Ok Ek i
j
k
(22)
(23)
529
With the identification of property prediction models, the next step is to select the suitable
530
molecular building blocks for the design problem. As the objective of this design problem is to
531
design a bio-based fuel, the target molecule category is identified as alkanes. Therefore, only
532
carbon (C) and hydrogen (H) atoms are considered. As molecular signature descriptor is utilised
533
in solving the chemical product design problem, only signatures with single bonds are considered
534
in this design problem to design the bio-based fuel. Signatures of height one is required since
535
property prediction models of zeroth order CI are utilised. The generated signatures can be
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536
classified into first order groups of carbon with zero (C-), one (CH-), two (CH2-) and three (CH3-
537
) hydrogen atoms. For signature C-, as it is bonded with zero hydrogen atoms, it can be
538
connected to four other matching signatures. Same concept applies for others signatures as well,
539
where signature CH- can be connected to three other matching signatures, signature CH2- can be
540
connected to two other matching signatures and signature CH3- can be connected to one
541
matching signature. The generated signatures for the design problem are shown in Table 2.
542
Table 2. List of signatures.
543
No. Signature 1. C(C) 2. C(CC) 3. C(CCC) 4. C(CCCC) The next step is to transform the property prediction models into their respective normalised
544
property operators.
545
normalised property operators.
546
property ranges are shown in Table 3.
547
Table 3. Normalised property operators and normalised target property ranges for the design
548
problem.
Property prediction models as shown in Eqs 19 – 23 are written as Normalised property operators and the normalised target
Normalised target property range Property
Ωp
RON
Ω RON =
Tf (K)
ΩT f =
logLC50 Hv (kJ/mol) η (cP)
Ωlog LC50 ΩH v
RON − 103.6 0.231
T f − 164.386
33.638 4.115 − log LC50
Ω pL
Ω pU
To be maximised 1.95
5.52
0.762 = H v −11.733
2.78
4.09
13.27
43.27
Ωη = lnη
-2.30
1.10
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549
Now, the molecular design problem can be written as a mixed integer linear programming
550
(MILP) model. As the objective of this case study is to design a bio-based fuel with maximised
551
RON, objective function for the case study can be written as shown in eq 24.
Maximise Ω RON
(24)
552
To ensure the formation of a complete molecule with no free bonds in the final molecular
553
structure, structural constraints are employed. Eqs 6 and 7 are modified according to the case
554
study and used to guarantee that a complete structure can be generated. The objective function
555
eq 24 can now be solved together with property constraints and structural constraints to generate
556
the optimal bio-based fuel. Commercial optimisation software LINGO version 13, in Asus
557
N56V with Intel Core i5-3210M (2.50 GHz) processor and 4 GB DDR3 RAM is used to solve
558
the MILP model.
559
solutions is 0.1 s. The solution obtained is the bio-based fuel with maximised RON which fulfils
560
other target properties. Four additional solutions are generated by using integer cuts. Integer
561
cuts work by adding additional constraints in the mathematical programming model to ensure the
562
generated solution (in terms of combination of molecular signatures) will not appear again when
563
the model is solved. This step may be continued until no feasible solution can be found. The list
564
of possible combinations of signatures is shown in Table A in Supporting Information.
565
Molecular graphs can be generated from the signatures obtained in Table A based on the graph
566
signature enumeration algorithm by Chemmangattuvalappil and Eden49.
567
molecules is performed on all five solutions. The list of products and their respective properties
568
are given in Table 4 while the generated molecular structures of the bio-based fuel are shown in
569
Table 5.
The average Central Processing Unit (CPU) time for the generation of
Enumeration of
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Table 4. Possible design of bio-based fuel.
Sol.
Name
A B C D E
2,2,3,3-tetramethylbutane 2,2,4,4-tetramethylpentane 2,2,3-trimethylbutane 2,2,3-trimethylpentane 2,3,4-trimethylpentane
RON 105.91 103.96 103.64 101.69 100.80
Tf (K) 282.12 294.01 266.60 278.49 277.61
Property logLC50 1.45 1.18 1.80 1.53 1.55
Hv (kJ/mol) η (cP) 33.19 0.58 38.10 0.72 30.43 0.37 35.34 0.45 36.85 0.31
571 572
Table 5. Molecular structures for the possible designs of bio-based fuel. Sol.
1
2
Name
Molecular structure
2,2,3,3tetramethylbutane
2,2,4,4tetramethylpentane
3
2,2,3-trimethylbutane
4
2,2,3-trimethylpentane
5
2,3,4-trimethylpentane
573
In this case study, the bio-based fuel is designed to possess maximised RON while having other
574
properties fall within the preferred target property ranges. It should be noted that these target
575
ranges represent the product specification that customers desire and prefer. From Table 4, it can
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be seen that the solutions are arranged with decreasing RON. The optimal bio-based fuel
577
designed for the case study is 2,2,3,3-tetramethylbutane with RON of 105.91 while the fifth best
578
bio-based fuel identified is 2,3,4-trimethylpentne with RON of 100.80. It can be seen from Table
579
4 that all of the bio-based fuel properties fall within the target properties range, as shown in
580
Table 1.
581 582
4.2.SELECTION OF OPTIMAL CONVERSION PATHWAY
583
With the identification of optimal bio-based fuel in the first stage of the methodology, the
584
optimal conversion pathways that convert biomass into the bio-based fuel can now be identified
585
in the second stage of the methodology. In this case study, palm-based biomass known as empty
586
fruit bunches (EFB) is chosen as feedstock of the integrated biorefinery. The lignocellulosic
587
composition of the EFB is shown in Table 6.
588 589 590
Table 6. Lignocellulosic composition of EFB.
591
Components Composition (% of Dry Matter) Lignin 39.00 Cellulose 22.00 Hemicellulose 29.00 From the first stage of the methodology, the optimal product identified is 2,2,3,3-
592
tetramethylbutane, which is an alkane with carbon number 8. Hence, it is known that the end
593
product of the integrated biorefinery is alkane with carbon number of 8. For illustration purpose,
594
the end products alkanes of the integrated biorefinery are represented as straight-chain products
595
without considering the formation of isomers. For example, the optimal bio-based fuel, 2,2,3,3-
596
tetramethylbutane is represented as straight-chain alkane with carbon number of 8 (Alkane C8) in
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597
this case study. After the screening of possible conversion pathways and technologies, selected
598
conversion pathways that produce alkanes from biomass are compiled and shown in Table B in
599
the Supporting Information. Figure 6 shows a superstructure developed based on the conversion
600
pathways in Table B.
601
categorised into reactions from biochemical and thermochemical platforms. It is noted that the
602
developed superstructure can be revised to include more conversion pathways and technologies
603
in synthesising an integrated biorefinery.
As shown in Figure 6, the selected conversion pathways can be
604 605
Figure 6: Production of additives made from alkane and alcohol from lignocellulosic biomass.
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Industrial & Engineering Chemistry Research
606
In order to demonstrate the efficacy of the developed methodology in accommodating different
607
production objectives, two scenarios of different production objectives are considered in
608
synthesising the integrated biorefinery:
609
1. Design for maximum product yield
610
2. Design for maximum economic potential
611
The market prices of the products and biomass feedstock as well as the capital and operating
612
costs for each conversion pathway are tabulated in Tables C and D respectively in the Supporting
613
Information. In this case study, other than the revenue generated by producing the bio-based
614
fuel, the revenue obtained from the generation of by-products along with the product is included
615
in the overall economic potential of the integrated biorefinery as well. For the simplicity of
616
illustration, the impact of market saturation on fluctuation of products revenue is not considered
617
in this case study. The list of capital costs provided in Table D are the capital costs for nominal
618
capacity of each conversion technology available in the market assuming 50000 tonnes per year
619
of initial biomass feed. Hence, the flow rate determined by the mathematical model is the
620
operating flow rate into the selected conversion technology with a fixed nominal capacity. It
621
should be noted that the prices of the products, feedstock as well as the capital and operating
622
costs for each conversion technology can be revised from time to time to provide an up-to-date
623
economic analysis. With a feed of 50000 tonnes per year of EFB, superstructural optimisation
624
model is formulated and solved for the following scenario.
625 626
Scenario 1: Design for maximum product yield
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627
In this scenario, an integrated biorefinery is synthesised by solving the optimisation model using
628
the optimisation objective in eq 25.
629
tetramethylbutane is represented as straight chain Alkane C8 in this case study.
630
commercial optimisation software with similar software and hardware specification is utilised in
631
solving the mathematical model for both scenario 1 and 2. The average CPU time for the
632
generation of solutions is 0.1 s for both scenarios.
Note that the optimum bio-based fuel 2,2,3,3Similar
Prod Maximise TAlkane C
(25)
8
633
Based on the obtained result, the maximum yield for Alkane C8 is 5645.74 t/y. Along with
634
Alkane C8, alkanes with different carbon number are produced as by-products in the integrated
635
biorefinery. The GPTotal for the scenario is found to be U.S. $23.63 million (per annum). The
636
conversion pathways selected for the scenario is illustrated in the synthesised integrated
637
biorefinery as shown in Figure 7.
638 639
Figure 7: Flow diagram of synthesised integrated biorefinery (maximum product yield).
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640
From Figure 7, it can be seen that Alkane C8 is produced from biomass in the conversion
641
pathway sequence of pyrolysis, Fischer-Tropsch process 1 and 2 followed by fractional
642
distillation of alkanes, which are all thermochemical pathways. It is worth mentioning that
643
specific separation processes that suit the identified product can be chosen and included in the
644
integrated biorefinery to refine and separate the final product from the other generated by-
645
products. Hence, separation processes for alkanes are chosen based on the results of the product
646
design identified in stage 1 of the methodology. The performance of the separation processes are
647
then taken into consideration in identifying the product yield and economic potential of the
648
overall conversion pathway.
649 650
Scenario 2: Design for maximum economic potential
651
In this scenario, an integrated biorefinery configuration with maximum economic potential is
652
determined by solving the optimisation objective as shown in eq 26.
Maximise GP Total
(26)
653
Based on the generated optimisation result, the maximum GPTotal for the scenario is identified to
654
be U.S. $24.07 million (per annum) with the annual production for Alkane C8 of 2831.00 t. As
655
the objective of this scenario is to synthesise an integrated biorefinery with maximum economic
656
potential, alcohols are produced and sold as by-products together with the main product Alkane
657
C8 and other alkane by-products. The conversion pathways chosen for the scenario is presented
658
in the synthesised integrated biorefinery as shown in Figure 8.
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659 660
Figure 8: Flow diagram of synthesised integrated biorefinery (maximum economic potential).
661
From Figure 9, it can be seen that alcohols are produced from biomass in the conversion pathway
662
sequence of ammonia explosion, Organosolv separation, dehydration of sugars, hydrogenation of
663
furfural and hydrogenation of THFA 1. Some of the generated alcohol is further converted into
664
alkanes via dehydration of alcohols 3. Main product Alkane C8 is produced from fractional
665
distillation of alkanes, which are produced from pyrolysis of biomass followed by Fischer-
666
Tropsch process 2 together with dehydration of alcohols 3. The selected conversion pathways
667
consist of both biochemical and thermochemical pathways. The comparison of the results
668
generated for scenario 1 and 2 are summarised in Table 7.
669 670
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671
Industrial & Engineering Chemistry Research
Table 7. Comparison of results for scenario 1 and 2. Scenario GPTotal (U.S $/y) Alkane C8 production rate (t/y) Alkane by-product production rate (t/y) Alcohol production rate (t/y)
1 23.63 × 106 5645.74 41354.26 0.00
2 24.07 × 106 2831.00 22697.58 6908.48
672 673
From Table 7, it can be seen that the production rate of Alkane C8 in scenario 1 is higher
674
compared with scenario 2.
675
conversion pathways which produce maximum yield of Alkane C8. In scenario 2, it is noticed
676
that significant amount alcohols are generated together with main product Alkane C8 and other
677
alkane by-products. Although the production rate of Alkane C8 in scenario 2 is lower compared
678
to scenario 1, the GPTotal generated is higher as the objective of scenario 2 is to synthesise an
679
integrated biorefinery with maximum economic potential. As shown in Table C in Supporting
680
Information, the market price for alcohols is higher than the market price of alkanes. Thus,
681
generation of by-products alcohols along with main product Alkane C8 and alkane by-products
682
results in an integrated biorefinery with higher economic potential.
This is because the objective of scenario 1 is to identify the
683 684
In addition, as shown in Table 7, the conversion pathways for the conversion of biomass into the
685
biochemical products identified for both scenarios are feasible in terms of economic potential.
686
Since the optimal biochemical products in terms of target product properties can be produced via
687
feasible optimal conversion pathways in terms of economic potential, an integrated biorefinery
688
can be synthesised and configured based on the identified conversion pathways. Please be noted
689
that different process performances such as product manufacturability can be utilised in assessing
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690
and analysing the generated results. If necessary, the overall design problem has to be repeated
691
from Step 2 of the product design problem, as discussed in Section 3.2.
692 693
5. CONCLUSIONS
694
This paper introduces a novel two-stage optimisation approach to integrate the product with
695
process design aspects in integrated biorefineries to convert biomass feedstock into products
696
which meet customer needs. In the first stage, signature based molecular design techniques have
697
been employed to determine the optimum product in terms of target product properties. By using
698
molecular signature descriptor, different classes of property prediction models can be utilised
699
simultaneously for the design of optimal biochemical products.
700
pathways that convert biomass into the product which meets the required product needs have
701
been determined via a superstructural mathematical optimisation approach in the second stage of
702
the optimisation approach. A case study of design a bio-based fuel with optimised RON from
703
palm-based biomass is solved to illustrate the proposed approach.
The optimum conversion
704 705
As mentioned beforehand, this approach serves as a general representation and idea to integrate
706
the synthesis of integrated biorefinery with product design. Hence, future efforts in this area will
707
include more details in various process/product design steps. In order to reduce the gap between
708
the presented approach and the reality of integrated biorefinery, information such as side
709
reactions, additional reactants required and intermediate products with complex chemical
710
structure involved will be considered and included. Besides, newly developed and enhanced
711
biomass conversion technologies can be included in the superstructure model to determine the
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712
optimum pathways. Moreover, in order to enhance the methodology, a detailed business model
713
could be incorporated into the methodology to study the effects of economic performance to the
714
integrated product and process design. This is possible by investigating the impact of market
715
needs, manufacturability of the products as well as the influence of corporate, business and
716
engineering stakeholders to the overall product and process design.
717
simplicity of illustration, the case study presented a bio-based fuel design problem based on the
718
assumption that the targeted bio-based fuel is a single component bio-based fuel. The design
719
problem can be formulated as mixture design problem where information such as properties of
720
different components and mixture stability will be considered and analysed during the design
721
process.
In addition, for the
722 723
AUTHOR INFORMATION
724
Corresponding Author
725
*E-mail:
[email protected] 726
ACKNOWLEDGMENT
727
The financial support from the Ministry of Higher Education, Malaysia through the LRGS Grant
728
(Project Code: LRGS/2013/UKM-UNMC/PT/05) is gratefully acknowledged.
729
SUPPORTING INFORMATION AVAILABLE
730
The list of solutions in terms of signatures, list of conversion pathways and yields, list of prices
731
of products and raw material as well as list of capital and operating costs for conversion
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732
pathways are provided in Supporting Information. This information is available free of charge
733
via the Internet at http://pubs.acs.org/.
734
NOMENCLATURE
735
CI, Connectivity index; GC, Group contribution; QSPR/QSAR, Quantitative structure
736
property/activity relationships; TI, Topological index; χ, Connectivity index; G, Molecular sub-
737
graph; h, Height of signature; Ni, Number of occurrence of first order group of type-i; Mj,
738
Number of occurrence of second order group of type-j; Ok, Number of occurrence of third order
739
group of type-k; Ci, Contribution of the first order group of type-i; Dj, Contribution of the second
740
order group of type-j; Ek, Contribution of the third order group of type-k; Ωp, Normalised
741
property operator for target property p;
742
target property p; Vp, Value for target property p;
743
I Fbq , Flow rate of bioresource b to pathway q in t/y; FsqII' , Flow rate of intermediate s to pathway
744
q’ in t/y;
745
to product s’;
746
product s’ in t/y; GPTotal, Total gross profit in U.S $/y;
747
GsProd , Cost of product s’; G bqCap , Capital cost for conversion of bioresource b through pathway q; '
748
Cap G sq '
749
conversion of bioresource b through pathway q;
750
intermediate s through pathway q’; TAC, Total annualised cost; TACC, Total annualised capital
751
cost; TAOC, Total annualised operating cost; CRF, Capital recovery factor;
752
REFERENCES
I R bqs
v Lp
, Lower limit for target property p; B bBio
II R sq 's ' ,
, Total production rate of intermediate s in t/y; G bBio
,
Conversion of intermediate s
TsProd '
, Total production rate of
Cost of biomass feedstock b;
, Capital cost for conversion of intermediate s through pathway q’; Opr G sq '
, Upper limit for
, Flow rate of biomass feedstock b in t/y;
, Conversion of bioresource b to intermediate s; T sInter
v Up
Opr G bq
, Operating cost for
, Operating cost for conversion of
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