线路损失的灵敏度分析和参数综合优化

Sensitivity Analysis of Line Losses and Parameter's Comprehensive Optimization

在定义了支路共轭电压、电流对线路参数灵敏度的基础上,推导出网损对线路参数的灵敏度,可根据其大小确定线路参数对网损的影响程度,为估算改变参数后的线路损失提供了一种简便方法。利用最小二乘法拟合出导线截面积与投资的关系曲线,形成综合费用函数。以损耗和投资综合费用最小为目标函数,采用粒子群优化算法对线路参数进行优化,建立了粒子位置库PSOLL,对粒子的位置进行了二次更新,提出了相应的启发式规则减少了搜索范围,加快了收敛速度。IEEE 14节点的仿真结果表明了算法的简便性、可行性和实用性。

We adopted the least-squares fitting technique to fit the relationship curves between the wire cross-sectional area and investment and to form an comprehensive cost function,put forward a method to optimize the line parameters based on particle swarm algorithm,formulated the objective function of minimum comprehensive cost of investment and system power loss,and established particle location library PSOLL.By updating the location of a secondary particle,we put forward the corresponding heuristic rules to reduce the search range,to accelerate the convergence speed.This algorithm was applied to IEEE 14-bus system to illustrate its simplicity feasibility and practical value.