自适应分区线性化全局优化算法及其在热交换器网络和有机朗肯循环同步优化中的应用

IF 3.8 3区 工程技术 Q2 ENGINEERING, CHEMICAL
Xiaodong Hong, Xuan Dong, Zuwei Liao, Jingdai Wang, Yongrong Yang
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引用次数: 0

摘要

热交换器网络和有机朗肯循环(HEN-ORC)的同步优化问题因其高度非凸和非线性方程而面临巨大挑战。我们开发了一种自适应分区线性化全局优化算法,该算法适用于各种混合整数非线性编程(MINLP)问题,并专为 HEN-ORC 量身定制。该算法可识别 HEN-ORC 模型中对数平均温度函数和幂函数的凸方程,并通过第一次泰勒展开和分片线性化对其进行松弛。对于从 HEN-ORC 能量平衡方程导出的双线性/多线性函数,采用了多级麦考密克松弛法。该算法通过迭代求解混合整数线性规划和 NLP 子模型来实现全局最优,并自适应地增强下限。通过对七个换热网络和余热发电案例的测试,该算法优于两个主流 MINLP 全局优化求解器(Baron 和 Couenne)。在 HEN 和 HEN-ORC 案例中分别获得了当前的最佳解决方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Adaptive Partition Linearization Global Optimization Algorithm and Its Application on the Simultaneous Heat Exchanger Network and Organic Rankine Cycle Optimization

Adaptive Partition Linearization Global Optimization Algorithm and Its Application on the Simultaneous Heat Exchanger Network and Organic Rankine Cycle Optimization
The simultaneous optimization problem of the heat exchanger network and organic Rankine cycle (HEN-ORC) poses significant challenges due to its highly nonconvex and nonlinear equations. We develop an adaptive partition linearization global optimization algorithm which is suitable for a wide range of mixed integer nonlinear programming (MINLP) problems and specially customized for HEN-ORC. The algorithm identifies convex equations of the logarithmic mean temperature function and the power function within the HEN-ORC model, which are relaxed by the first Taylor expansion and piecewise linearization. A multilevel McCormick relaxation is applied for the bilinear/multilinear functions derived from the HEN-ORC energy balance equations. The algorithm achieves global optimality by solving mixed integer linear programming and NLP submodels iteratively, enhancing the lower bound adaptively. Tested on seven heat exchanger networks and waste heat power generation cases, it outperforms two mainstream MINLP global optimization solvers (Baron and Couenne). The current best solutions are obtained for both a HEN and a HEN-ORC case, respectively.
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来源期刊
Industrial & Engineering Chemistry Research
Industrial & Engineering Chemistry Research 工程技术-工程:化工
CiteScore
7.40
自引率
7.10%
发文量
1467
审稿时长
2.8 months
期刊介绍: ndustrial & Engineering Chemistry, with variations in title and format, has been published since 1909 by the American Chemical Society. Industrial & Engineering Chemistry Research is a weekly publication that reports industrial and academic research in the broad fields of applied chemistry and chemical engineering with special focus on fundamentals, processes, and products.
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