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首页> 外文期刊>Electric power systems research >A full mixed-integer linear programming formulation for economic dispatch with valve-point effects, transmission loss and prohibited operating zones
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A full mixed-integer linear programming formulation for economic dispatch with valve-point effects, transmission loss and prohibited operating zones

机译：具有阀点效应，传输损失和禁止操作区域的经济调度的完整混合整数线性规划公式

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摘要

The economic dispatch (ED) problem considering valve-point effects (VPE), transmission loss and prohibited operating zones (POZ) is a very challenging issue due to its intrinsic nonconvex, nonsmooth and noncontinuous nature. To achieve a nearly global solution, a full mixed-integer linear programming (FMILP) formulation is proposed. Since the original loss function is highly coupled on N-dimensional space, it is usually hard to linearize entirely. To handle this difficulty, a reformulation trick is utilized, transforming the problem into a group of tractable quadratic constraints. By taking full advantage of the variable coupling relationships and applying a logarithmic size formulation technique, an FMILP formulation that requires as few binary variables and constraints as possible is consequently constructed. When the POZ restrictions are also considered, a distance-based technique is adopted, reconstructing them compatible with the previous FMILP formulation. By solving such an FMILP formulation, a nearly global solution is thus efficiently obtained. To search for a better solution, a nonlinear programming (NLP) model for the ED will be given and solved based on the FMILP solution. The case study results show that the presented FMILP formulation is very effective in solving the ED problem that involves nonconvex, nonsmooth and noncontinuous features.
机译：考虑到阀点效应（VPE），传输损失和禁止运行区域（POZ）的经济调度（ED）问题由于其固有的非凸性，非平滑性和非连续性而成为非常具有挑战性的问题。为了实现近乎全局的解决方案，提出了一个完整的混合整数线性规划（FMILP）公式。由于原始损失函数在N维空间上高度耦合，因此通常很难完全线性化。为了解决这个困难，使用了重新制定技巧，将问题转换为一组易于处理的二次约束。通过充分利用变量耦合关系并应用对数大小公式化技术，从而构建了需要最少二进制变量和约束的FMILP公式。当还考虑POZ限制时，采用基于距离的技术，将其重建为与以前的FMILP公式兼容。通过求解这种FMILP公式，可以有效地获得近乎全局的解决方案。为了寻求更好的解决方案，将基于FMILP解决方案给出并求解ED的非线性规划（NLP）模型。案例研究结果表明，所提出的FMILP公式对于解决涉及非凸，非平滑和非连续特征的ED问题非常有效。

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