建立电力系统暂态电压安全分析的微分代数方程组模型,并推导出负荷采用三阶感应电动机并联恒阻抗模型时切负荷控制的表示方法。提出暂态电压安全紧急控制优化的数学模型:暂态电压安全约束包括防止系统发生暂态电压失稳和暂态电压延时恢复两个方面,目标函数为控制费用最小,控制变量为切负荷比例。采用轨迹灵敏度描述暂态电压安全约束函数与控制变量之间的近似线性增量关系,从而将优化控制模型转化为线性整数规划模型。并采用一种启发式优化算法求得模型的近似最优解。对IEEE39节点系统的仿真计算验证了所提出模型和算法的正确有效性。
The differential and algebraic equations model of analyzing power system transient voltage security is established.And representation of load shedding in terms of three order induction motor paralleled with constant impedance load model is deduced.The mathematical model of transient voltage security emergency control optimization is presented:transient voltage security constraints include two aspects of avoiding transient voltage instability and transient delayed voltage recovery,objective function is the minimum of control cost,a nd control variable is the load shedding proportion.T he approximate linear relationship between transient voltage security constraint functions and control variables is represented using trajectory sensitivity,and the optimal model is transformed into static linear integer programming model.A heuristic optimal algorithm is used to get the solution of the optimal model.Simulation result of the IEEE 39 bus system validates the correctness and effectiveness of the optimal model and algorithm.