暂态电压安全多目标混合整数最优控制模型及凸松弛方法  

Multi-objective/Mixed-integer Optimal Control Model and Convex Relaxation Method for Transient Voltage Security

作　　者：欧阳逸风[1] 刘明波[1] 

机构地区：[1]华南理工大学电力学院,广东省广州市510640

出　　处：《中国电机工程学报》2015年第23期6018-6027,共10页Proceedings of the CSEE

基　　金：国家自然科学基金项目(51277078)~~

摘　　要：该文以调节发电机励磁参考电压和投切电容/电抗器组为控制手段,建立暂态电压安全控制的多目标混合整数最优控制模型。该模型的求解关键在于对离散控制变量的处理。该文采用规格化法平面约束法将多目标混合整数最优控制模型转化为一系列单目标混合整数最优控制模型后,借助凸化松弛技术将单目标混合整数最优控制模型转化为单目标连续最优控制模型,然后通过优化控制变量的大小及其切换时间实现离散控制变量的自然归整,对于不能自然归整的情况,再通过引入罚函数将其归整。以3机9节点系统和10机39节点系统为例,通过与通用代数建模系统(general algebraic modeling system,GAMS)中SBB解法器进行对比分析,证实了所提方法的有效性。This paper establish a multi-objective mixed integer optimal control model for transient voltage security control by means of adjusting the generator excitation reference voltage and switching the capacitor/reactor bank. The key to solve the model is how to deal with the discrete control variable. The normalized normal constraint method is used to transform this model into a series of single objective mixed integer optimal control model, and the convex relaxation technique is applied to transform it into continuous optimal control model. Then, we can get integer solution by optimizing the control variable＇s magnitude and switching time. If this method couldn＇t get integer solution, we add penalty function to handle the integer variable. The comparison between the proposed method and GAMS/SBB solver on IEEE 3-machine 9-bus and IEEE 10-machine 39-bus systems demonstrate the effectiveness of proposed method.

关 键 词：暂态电压安全 混合整数最优控制 多目标优化 凸松弛方法 切换时间优化 

分 类 号：TM71[电气工程—电力系统及自动化]