华南理工大学学报(自然科学版) ›› 2009, Vol. 37 ›› Issue (11): 64-70,82.

• 动力与电气工程 • 上一篇    下一篇

最优协调电压控制直接Radau配置算法

刘明波1  谢浩南2   

  1. 1.华南理工大学电力学院, 广东 广州 510640;2.广东电网公司肇庆供电局变电部, 广东 肇庆 526060
  • 收稿日期:2008-12-16 修回日期:2009-03-10 出版日期:2009-11-25 发布日期:2009-11-25
  • 通信作者: 刘明波(1964-),男,教授,博士生导师,主要从事电力系统优化、运行与控制研究. E-mail:epmbliu@scut.edu.cn
  • 作者简介:刘明波(1964-),男,教授,博士生导师,主要从事电力系统优化、运行与控制研究.
  • 基金资助:

    国家自然科学基金资助项目(50777021)

Direct Radau Collocation Algorithm Applied to Optimal Coordinated Voltage Control

Liu Ming-bo Xie Hao-nan2   

  1. 1. School of Electric Power, South China University of Technology, Guangzhou 510640, Guangdong, China; 2. Department of Power Transforming, Zhaoqing Power Supply Bureau, Guangdong Power Grid Corporation, Zhaoqing 526060, Guangdong, China
  • Received:2008-12-16 Revised:2009-03-10 Online:2009-11-25 Published:2009-11-25
  • Contact: 刘明波(1964-),男,教授,博士生导师,主要从事电力系统优化、运行与控制研究. E-mail:epmbliu@scut.edu.cn
  • About author:刘明波(1964-),男,教授,博士生导师,主要从事电力系统优化、运行与控制研究.
  • Supported by:

    国家自然科学基金资助项目(50777021)

摘要: 根据准稳态假设,建立含连续-离散时间微分-代数方程约束的最优协调电压控制模型,并采用现代最优控制理论中的直接法求解该动态优化问题.根据Radau配置法将动态优化问题转化为连续变量与离散变量并存的非线性规划问题.为考虑有载调压变压器变比、可投切电容器组和待切除负荷的离散特性,引入离散变量的罚函数处理机制,并采用非线性原对偶内点算法求解.新英格兰10机39节点系统的仿真结果表明,所提方法能有效地协调各种控制设备动作,从而增强了电力系统的长期电压稳定性.

关键词: 长期电压稳定性, 协调电压控制, 直接动态优化, Radau配置法, 离散控制

Abstract:

Based on the quasi-steady-state assumption, an optimal coordinated voltage control model consisting of the constraint of continuous and discrete time differential-algebraic equations is established, and a direct method from the modern optimal control theory is applied to solving this dynamic optimization problem. Then, according to Radau collocation method, the dynamic optimization problem is converted to a nonlinear programming one that contains continuous and discrete variables. Moreover, in order to consider the discrete characteristics of the turn ratio of on-load regulating transformer, the switchable capacitor bank and the shedding load, a nonlinear primal-dual interior-point algorithm incorporating the penalty function mechanism for discrete variables is used during the solving of this problem. Simulated results on New England 10-machine 39-bus system demonstrate that the proposed method improves the long-term voltage stability of power systems because it effectively coordinates the actions of different control devices

Key words: long-term voltage stability, coordinated voltage control, direct dynamic optimization, Radau collocation method, discrete control