基于牛顿法的电力系统最优潮流计算

为研究电力系统最优潮流问题的可行算法,对牛顿法进行探讨并基于该算法进行最优潮流计算.由于最优潮流问题属于典型有约束条件的非线性规划问题,故引入二次罚函数处理约束条件,将牛顿法和二次罚函数结合并用MATLAB仿真平台进行算法编程,求出IEEE14节点标准系统的最优潮流计算结果,同时得出收敛时间和系统发电成本.实验结果表明:该方法的收敛性较好,计算速度较快;运用牛顿算法求解最优潮流,可使发电成本最小或功率损耗最小,从而达到优化资源配置,降低发电及输电成本的目的,具有很好的经济效益和社会效益.

Power System Optimal Power Flow Calculation Based on Newton's Method

In order to study the feasible algorithm of power system optimal power flow,the Newton method is discussed and applied to solve optimal power flow calculation. Because the optimal power flow problem belongs to nonlinear programming problem with constraints,the quadratic penalty function is introduced to solve the problem of constraint. Combining with the Newton method and quadratic penalty function and algorithm programming using MATLAB simulation platform,optimal power flow calculation＇ s results of the IEEE14 node standard system are obtained,at the same time,and system convergence time and electricity costs are derived. The experimental results show that the method has good convergence and quick computational speed; using the Newton algorithm to solve optimal power flow can minimize the cost of power generation or power loss,so as to achieve optimal allocation of resources and reduce the cost of power generation and transmission. This will have good economic and social benefits.