Analysis of Autoparametric Resonance in Practical Power Systems

在这项研究中，我们分析了实际电力系统中的自参数谐振。1）采用日本IEE公司的WEST 30和EAST 30电力系统模型对中西部地区60 Hz系统和东部地区50 Hz系统进行了分析。由于发电机和控制系统的详细描述，我们修改了我们的功率摆动仿真程序和特征值分析程序。2）在中西部地区60 Hz系统中，最低振荡模式和次低振荡模式之间发生自参数谐振。此外，还存在一个激励系统模态参与了该共振。3）推导了激励系统模态所受力的二阶方程，并指出该模态是由最低振荡模态激励的。该励磁系统模式的作用，使最低振荡模式的阻尼特性恶化。4）这些模式和两个次低振荡模式的时间变化进行了计算，给出了几乎相同的结果与仿真程序得到的。5）恒流负荷下的自谐振比恒阻抗负荷下的强; 6）在东50 Hz频段，自参数谐振随故障引起的结构变化而出现。在这种情况下，相关模式是最低振荡模式和励磁系统模式。

In this study, we analyzed autoparametric resonances in practical power systems. The results are summarized as follows:1) WEST30 and EAST30 power system models of IEE Japan were used to analyse mid-western area 60Hz system and eastern area 50Hz system. Since generators and control systems are represented in detail, we revised our power swing simulation program and eigenvalue analysis program.2) In the mid-western area 60Hz system, autoparametric resonance occurs between the lowest oscillation mode and the second lowest ones. Besides, an excitation system mode participates in this resonance.3) A second order equation was derived far force on the excitation system mode, and it was shown that this mode is excited by the lowest oscillation mode. This excitation system mode next acts so as to deteriorate the damping characteristics of the lowest oscillation mode.4) Time variations of these modes and two second lowest oscillation modes were calculated, which gave almost same results an those obtained with the simulation program. It was thus verified these four modes were dominant in the stability of the power system.5) The automatic resonance is stronger far constant-current loads than for constant-impedance loads.6) In the eastern 50Hz, autoparametric resonance appeared with structural changes due to faults. Relevant modes were the lowest oscillation mode and the excitation system mode in this case.