混沌鱼群算法计算静态电压稳定裕度

Calculation of Static Voltage Stability Margin Based on Chaos Artificial Fish Swarm Algorithm

针对人工鱼群算法对初始值具有一定的依赖性,且易陷入局部最优解的缺点,将混沌算法引入到鱼群算法中组成混沌鱼群算法,并提出一种混沌鱼群算法和连续潮流算法结合求取系统的最大静态电压稳定裕度的方法。该算法在初始化鱼群,即变压器分接头等系统控制变量值时,采用混沌算法得到混沌矢量,并将其映射到控制变量约束范围内,可以增加控制变量初值的多样性。算法将待求解系统的静态电压稳定裕度的目标函数作为食物浓度值;将系统控制变量组成的行向量作为单个鱼个体;采用连续潮流算法分别计算整个鱼群中每条鱼处的食物浓度值,即稳定裕度,然后通过鱼群算法对控制变量进行更新,在全局范围内得到系统的最大静态电压稳定裕度。算例验证了算法的有效性。

n the paper, artificial fish swarm algorithm depends on initial value is considered, and it is easy to trap in local optimal solution, Chaos optimization algorithm is adopted in artificial fish swarm algorithm to compose chaos arti- ficial fish swarm algorithm. At the meantime, a new method which combines continuation power flow and chaos artifi- cial fish swarm algorithm is applied to solve the maximum static voltage stability margin. In the algorithm, when initial- izing the fish swarm, which stand for transformer taps and other control variables, chaos optimization algorithm is used to obtain chaos vector which is mapped to control variable restraint scope afterwards. In this way, the multiplicity of control variables＇ initial value is increased. The algorithm takes the objective function of solving the maximum static voltage stability margin as food consistency and control variables＇ vector quantity as fish individual. Continuation power flow is used to calculate every fish individual＇s food consistency which is stands for stability margin. Then, artificial fish swarm algorithm is used to renew control variables. Finally, the maximum static voltage stability margin can be ob- tained in the global situation scope. Examples confirm the validity of the algorithm.