基于Radau排列的非线性模型预测紧急电压控制器设计

Design of Nonlinear Model Predictive Emergency Voltage Controller Using Radau Collocation

将非线性模型预测控制方法应用于紧急电压控制器的设计,并以准稳态近似为基础建立滚动动态优化模型,该模型旨在协调各种电压控制手段,从而维持系统的长期电压稳定性。滚动动态优化问题的目标函数综合考虑了电压偏移和控制成本,等式约束包括了连续?离散时间微分?代数方程组。为提高求解滚动动态优化模型的效率,采用Radau排列法将该模型转化为非线性规划问题,并采用内点法解法器IPOPT求解该问题。在新英格兰10机39节点系统上的计算结果验证了所提方法的有效性。

The nonlinear model predictive control method is applied to design of emergency voltage controller. Based on quasi-steady-state approximation, the receding dynamic optimization model is established in order to maintain long-term voltage stability by coordinating different kinds of voltage control means. In this receding dynamic optimization problem, the objective function synthetically considers both voltage deviation and control cost, and equality constraints include continuous and discrete time differential-algebraic equations. To enhance computational efficiency of solving this receding model, Radau collocation method is used to convert this model into a nonlinear programming problem which can be solved using the interior-point solver given by IPOPT. Simulation results on New England 10-machine 39-bus system verify effectiveness of the proposed method.