Simultaneous optimization of nonsharp distillation sequences and heat integration networks by simulated annealing algorithm

Based on stochastic optimization, a new method is proposed to synthesize heat integrated distillation sequences (HIDiSs), which are basic configurations and allow nonsharp splits with at most two middle components. Distillation sequences and heat integration networks are simultaneously optimized to...

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Published in:	Energy (Oxford) Vol. 162; pp. 1139 - 1157
Main Authors:	Zhang, Shuo, Luo, Yiqing, Ma, Yingjie, Yuan, Xigang
Format:	Journal Article
Language:	English
Published:	Oxford Elsevier Ltd 01.11.2018 Elsevier BV
Subjects:	Algorithms case studies Computer simulation Continuity (mathematics) Design optimization Distillation Distillation sequences energy Energy consumption Heat Heat integration Integration Mathematical models Networks Nonlinear programming Nonsharp splits Optimization Simulated annealing Simulated annealing algorithm Simulation Synthesis system optimization Simulated annealing algorithm Synthesis Heat integration Nonsharp splits Distillation sequences
ISSN:	0360-5442, 1873-6785
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Abstract	Based on stochastic optimization, a new method is proposed to synthesize heat integrated distillation sequences (HIDiSs), which are basic configurations and allow nonsharp splits with at most two middle components. Distillation sequences and heat integration networks are simultaneously optimized to minimize the total annual cost (TAC) of HIDiSs. First, the synthesis problem is formulated as an implicit mixed-integer nonlinear programming problem. Discrete variables are distillation sequences. Continuous variables include operating pressures, key component recoveries and ratios of the actual reflux ratios to the minimum reflux ratios in columns. Next, solution strategies are presented, including representing distillation sequences through a novel encoding method, randomly generating neighboring distillation sequences, automatically determining heat integration networks by the pinch method, and calculating the TAC based on shortcut design of columns. Then, the optimization problem is solved by an improved simulated annealing algorithm. Finally, correctness verification for the method is made in two case studies. The optimization algorithm is proved to be computationally efficient and capable to obtain high-quality optimal solution. The results demonstrate that heat integration between columns significantly reduces the energy consumption compared to the non-integrated distillation sequences. Moreover, nonsharp HIDiSs can further reduce the TAC compared to those with only sharp splits. •Distillation sequences and heat integration networks are optimized simultaneously.•Nonsharp splits are considered in the distillation sequences.•A novel binary tree encoding method is adopted to represent distillation sequences.•Heat integrated nonsharp distillation sequence can improve the energy efficiency.•The proposed method is computationally efficient for the optimization problem.
AbstractList	Based on stochastic optimization, a new method is proposed to synthesize heat integrated distillation sequences (HIDiSs), which are basic configurations and allow nonsharp splits with at most two middle components. Distillation sequences and heat integration networks are simultaneously optimized to minimize the total annual cost (TAC) of HIDiSs. First, the synthesis problem is formulated as an implicit mixed-integer nonlinear programming problem. Discrete variables are distillation sequences. Continuous variables include operating pressures, key component recoveries and ratios of the actual reflux ratios to the minimum reflux ratios in columns. Next, solution strategies are presented, including representing distillation sequences through a novel encoding method, randomly generating neighboring distillation sequences, automatically determining heat integration networks by the pinch method, and calculating the TAC based on shortcut design of columns. Then, the optimization problem is solved by an improved simulated annealing algorithm. Finally, correctness verification for the method is made in two case studies. The optimization algorithm is proved to be computationally efficient and capable to obtain high-quality optimal solution. The results demonstrate that heat integration between columns significantly reduces the energy consumption compared to the non-integrated distillation sequences. Moreover, nonsharp HIDiSs can further reduce the TAC compared to those with only sharp splits. Based on stochastic optimization, a new method is proposed to synthesize heat integrated distillation sequences (HIDiSs), which are basic configurations and allow nonsharp splits with at most two middle components. Distillation sequences and heat integration networks are simultaneously optimized to minimize the total annual cost (TAC) of HIDiSs. First, the synthesis problem is formulated as an implicit mixed-integer nonlinear programming problem. Discrete variables are distillation sequences. Continuous variables include operating pressures, key component recoveries and ratios of the actual reflux ratios to the minimum reflux ratios in columns. Next, solution strategies are presented, including representing distillation sequences through a novel encoding method, randomly generating neighboring distillation sequences, automatically determining heat integration networks by the pinch method, and calculating the TAC based on shortcut design of columns. Then, the optimization problem is solved by an improved simulated annealing algorithm. Finally, correctness verification for the method is made in two case studies. The optimization algorithm is proved to be computationally efficient and capable to obtain high-quality optimal solution. The results demonstrate that heat integration between columns significantly reduces the energy consumption compared to the non-integrated distillation sequences. Moreover, nonsharp HIDiSs can further reduce the TAC compared to those with only sharp splits. •Distillation sequences and heat integration networks are optimized simultaneously.•Nonsharp splits are considered in the distillation sequences.•A novel binary tree encoding method is adopted to represent distillation sequences.•Heat integrated nonsharp distillation sequence can improve the energy efficiency.•The proposed method is computationally efficient for the optimization problem.
Author	Yuan, Xigang Ma, Yingjie Zhang, Shuo Luo, Yiqing
Author_xml	– sequence: 1 givenname: Shuo surname: Zhang fullname: Zhang, Shuo organization: School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China – sequence: 2 givenname: Yiqing surname: Luo fullname: Luo, Yiqing email: luoyq@tju.edu.cn organization: School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China – sequence: 3 givenname: Yingjie surname: Ma fullname: Ma, Yingjie organization: School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China – sequence: 4 givenname: Xigang surname: Yuan fullname: Yuan, Xigang organization: School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China
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Keywords	Simulated annealing algorithm Synthesis Heat integration Nonsharp splits Distillation sequences
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Snippet	Based on stochastic optimization, a new method is proposed to synthesize heat integrated distillation sequences (HIDiSs), which are basic configurations and...
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SubjectTerms	Algorithms case studies Computer simulation Continuity (mathematics) Design optimization Distillation Distillation sequences energy Energy consumption Heat Heat integration Integration Mathematical models Networks Nonlinear programming Nonsharp splits Optimization Simulated annealing Simulated annealing algorithm Simulation Synthesis system optimization
Title	Simultaneous optimization of nonsharp distillation sequences and heat integration networks by simulated annealing algorithm
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