Levine-Athans方程组求解方法及优化励磁规律的实现

介绍了多机电力系统输出反馈协调励磁控制的建模方法，并对求解Levine-Athans方程组的两种算法——梯度法和直接迭代法进行深入分析，得出梯度法收敛性优于直接迭代法而直接迭代法收敛速度比梯度法快的结论，给出了弥补两种算法缺陷的措施。对一个典型复杂系统进行了分散控制结构约束下的全局励磁调节反馈系数的优化计算，利用所得的优化计算结果，使用电力系统分析综合程序的用户自定义功能对求取的励磁规律进行建模、仿真，给出了仿真结果。

Solution of Levine-Athans Equations and Optimization of Excitation Law

A method of modeling coordinated excitation system based on feedback from output variables is presented.Gradient method and direct approaching method used to calculate Levine-Athans equations are analyzed.It shows that convergence of gradient method is superior to that of direct approaching method,and convergence rate of direct approaching method is faster than that of gradient method.Shortcomings of the two methods are discovered and the countermeasures are put forward.The global optimal feedback parameters for excitation regulating are computed in a typical large power system.Designed excitation laws are simulated by Power Systems Analysis Soft Package.Simulation results of a 4-machines system are given.