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中文摘要：
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，建立含连续一离散时间微分一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。
英文摘要：
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 modem 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 establishing the first order optimality condition, which can be solved by the multiple shooting method. In order to consider discrete characteristics of transformer tap control, capacitor switching and load shedding, a penalty function mechanism for handling discrete controls is incorporated to this control model. The simulation results on New England 10-machine 39-bus system demonstrate that the proposed method can coordinate dissimilar control actions effectively and enhance long-term voltage stability in power systems.
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