协调电压控制问题的准稳态模型及其间接动态优化算法

针对长期电压稳定具有慢动态的特点，在准稳态假设的基础上，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间接法求解该动态优化问题，根据Pontryagin最大值原理建立一阶最优性条件，将动态优化问题转化为两点边值问题，采用多重打靶法求解。此外，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，还在控制模型中引入了离散变量的罚函数处理机制。从新英格兰10机39节点系统的仿真结果可看出，所提出方法能有效地协调各种控制设备动作，从而增强系统的长期电压稳定性。

Quasi-steady-state model of coordinated voltage control problem and its indirect dynamic optimization algorithm

Long-term voltage stability has slow dynamic characteristics,and hence an optimal coordinated voltage control model including continuous and discrete time differential-algebraic equations is established based on the quasi-steady-state approximation.The indirect method from modern optimal control theory can be adopted to solve this dynamic optimization problem.According to Pontryagin maximum value principle,this dynamic optimization problem is converted to a two-point boundary-value problem through establish...