Homogenized adjacent points method: A novel Pareto optimizer for linearized multi-objective optimal energy flow of integrated electricity and gas system
Homogenized adjacent points method: A novel Pareto optimizer for linearized multi-objective optimal energy flow of integrated electricity and gas system
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DOI：
10.1016/j.apenergy.2018.10.037
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发表时间：
2019
期刊：
影响因子：
11.2
通讯作者：
Kaiping Qu;Tao Yu-;Xiaoshun Zhang;Haofei Li
中科院分区：
文献类型：
--
作者：
Kaiping Qu;Tao Yu-;Xiaoshun Zhang;Haofei Li
为充分发挥系统的互补效益，构建了一种新的电气一体化系统多目标最优能量流模型。为了保证算法的可靠收敛性，采用增量分段线性化方法将原非线性问题线性化为一个混合整数线性规划问题。实际上，所提出的问题是一个高度约束的优化与众多的变量和多个相互冲突的目标。为有效解决这一问题，提出了一种新的解析Pareto优化算法--均匀化邻点法（HAPM），该算法通过轴均匀化、邻点计算和邻点过滤三种基本策略来获得Pareto解集。与现有方法相比，HAPM算法的主要优势在于能够得到具有Pareto前沿边界的Pareto解集的全分布，且解的质量是非支配的。最后，一个最佳的妥协解决方案是确定从Pareto解决方案集使用基于熵权的理想点方法。仿真结果表明，该方法以较小的成本代价实现了一个环境友好、可靠的电、气一体化系统，并验证了HAPM方法的鲁棒性，与现有方法相比，该方法能够获得非支配、均匀和广泛的Pareto解集。
This paper constructs a novel multi-objective optimal energy flow of an integrated electricity and gas system to fully exploit complementary benefits of the system. To ensure a reliable convergence, an incremental piecewise linearization is employed to linearize the original nonlinear problem into a mixed integer linear programming. Actually, the proposed issue represents a highly constrained optimization with numerous variables and multiple conflicting objectives. To effectively solve the problem, a novel analytical Pareto optimizer called homogenized adjacent points method (HAPM) is first proposed, which aims to obtain a Pareto solution set with three basic strategies, including axes homogenization, adjacent points calculation and adjacent points filtration. Compared to the existing methods, the major superiority of HAPM is that the algorithm can obtain a full distribution of Pareto solution set with the boundary of Pareto front and non-dominated quality of the solutions. Finally, a best compromise solution is identified from the Pareto solution set using an entropy weight based ideal point method. Simulation results indicate an environmentally friendly and reliable integrated electricity and gas system is realized with a slight cost sacrifice, and validate the robustness of HAPM to obtain a non-dominated, uniform and widespread Pareto solution set compared with existing methods.