应用线搜索滤波器内点法求解最优协调电压控制问题  

Solution of Optimal Coordinated Voltage Control Using Line Search Filter Interior Point Method

作　　者：郑文杰[1] 刘明波[1] 

机构地区：[1]华南理工大学电力学院,广州510640

出　　处：《电工技术学报》2012年第9期70-77,共8页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(50777021);广东省绿色能源技术重点实验室(2008A060301002)资助项目

摘　　要：基于准稳态模型,协调电压控制问题表示为含连续-离散时间的微分-代数方程约束的最优控制模型。采用直接动态优化方法求解该代数-微分方程优化问题。利用Radau排列法将研究时间段划分为有限个区间,将所有状态变量、代数变量和控制变量在每个区间内用一系列多项式近似,从而将动态优化问题转化为非线性规划问题。引入一种改进的原对偶内点法求解该非线性规划模型。基于线搜索滤波器的内点法有着良好的收敛性能,能快速获得最优解。从IEEE 17机162节点系统的仿真结果看出,该方法能求出有效控制量以增强系统的长期电压稳定性。According to quasi-steady-state model, the coordinated voltage control problem is represented by an optimization model subjected to differential-algebraic equations（DAEs） with continuous-discrete time variables. A direct dynamic optimization approach is employed to obtain the solution of the DAEs optimization problem. The dynamic optimization problem can be converted to a nonlinear programming by approximating state variable, algebraic variable and control variable profiles by a family of polynomials on finite time intervals using Radau collocation method. An enhanced primal-dual interior point strategy is applied to solve this nonlinear programming model. Line search filter method is proposed in the context of the interior point method to solve the nonlinear programming model. Line search filter based interior point method has better convergence properties and can give the optimal solution quickly. The simulation results on IEEE 17-machine 162-bus system show that the proposed approach can determine effective control to enhance long-term voltage stability of power systems.

关 键 词：协调电压控制 直接动态优化 Radau排列 非线性原对偶内点算法 线搜索滤波器方法 

分 类 号：TM712[电气工程—电力系统及自动化]