基于模态级数法和轨迹灵敏度的励磁调节器参数优化

Tuning of exciter parameters using an optimization method based on a modal series and trajectory sensitivity analyses

基于模态级数法及轨迹灵敏度分析的励磁调节器参数优化方法通过模态级数法得到较精确的系统状态轨迹的封闭解,利用数值微商算法得到系统的轨迹灵敏度,即目标函数的梯度信息,再应用共轭梯度技术优化励磁调节器参数。模态级数法考虑了系统非线性模式的影响,所得状态轨迹解逼近时域仿真结果,所以该方法能有效地阻尼系统受到大扰动后的振荡。通过算例可验证该方法的有效性。

An optimization method to tune exciter parameters based on a modal series and trajectory sensitivity analyses was introduced. An exact analytic solution of power systems was solved by using a modal series and a numerical differentiation algorithm was presented to figure out the trajectory sensitivity which was used as the gradient information of the objective function. Then, the exciter parameters were optimized by a conjugate gradient method. Because the modal series was considered with the effect of nonlinear interaction among modes, so the modal series approximations and the time-domain simulation agree very well and this method can be used to effectively damp the system oscillation caused by severe disturbances. An example was used for proving the validity of the presented method.