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    差异化初始结构引导换热单元进化策略优化HEN

    Optimization of heat exchange networks via differentiated initial structure-guided evolution strategy for heat transfer units

    • 摘要: 换热网络优化求解域巨大且混合整数非线性全局优化困难,其中,初始点的选取影响算法优化性能,需要使初始点在搜索域内均匀分布。针对这一问题,研究基于物流进出口温差的虚拟节点策略,提出三种差异化初始结构方法:(1)通过设置虚拟温度引导优质可行换热单元匹配连接;(2)根据算例中物流股热熔流率比例的差异化分流策略,合理分配物流总节点数;(3)在已生成连接的初始结构上重新赋值热负荷的换热单元赋值策略,从不同角度实现个体化初始结构和换热单元在搜索域内均匀分布。通过几个不同规模算例验证,得到的结果分别为2 891 0849、1 412 538、1 911 8091 USD·a−1。结果表明,差异化初始结构引导换热单元进化策略的换热网络优化方法能够扩大搜索范围并提高优化效率。

       

      Abstract: Heat exchanger network (HEN) optimization represents a challenging mixed-integer nonlinear programming (MINLP) problem with a vast solution space, where the selection of initial points critically influences optimization performance and requires proper distribution across the search domain. This study developed a novel approach employing three complementary strategies for generating differentiated initial structures: a virtual node method utilizing stream temperature differences to guide optimal heat exchanger matching through virtual temperature settings, a flow-splitting technique that allocates stream nodes proportionally according to heat capacity flow rates, and a heat exchanger assignment approach that redistributes thermal loads within pre-connected structures. Together, these methods created individualized initial configurations while ensuring uniform distribution of heat exchange units throughout the solution space. Comprehensive testing across multiple case studies demonstrated the effectiveness of this approach, achieving optimized annual costs of 2 891 084.9 USD·y−1, 1 412 538 USD·y−1 and 1 940 386 USD·y−1 while significantly enhancing both search space coverage and optimization efficiency compared to conventional methods. The results confirm the superior performance of this structured initialization strategy in addressing the complex challenges of HEN optimization.

       

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