基于奇异摄动法的降阶模型对系统稳定性的影响

Influence of Reduced-model Based on Singular Perturbation Method on System Stability

电力系统含有大量非线性高阶的数学模型,电力系统稳定性分析时,不可避免地要采用简化的系统模型,文章首先对电力系统动态负荷模型和发电机模型进行了研究并进一步推导变形,然后采用奇异摄动法中多重时间尺度的思想将非线性的电力系统负荷模型分解成不同时间尺度下的几个子系统,并将高阶模型降阶为低阶模型,最后通过仿真得到一系列数据验证了奇异摄动法降阶后的模型更接近完整模型,所得结果偏差更小。摄动法使模型降阶有了依据,避免了经验降阶带来的较大误差。

Power system contains a large number of non- linear mathematical models. In order to simplify the analysis, this paper firstly derives and deforms the power system dynam- ics load model and generator model. Then the nonlinear power system load models are decomposed into several subsystems of different time scales by the thought of multiple time scales be- longing to the perturbation method, and the high-level model is reduced to the low-level model. Finally, a series of data obtained by simulation verify that the reduced-order model is closer to completion after the singular perturbation method is reduced and the deviation in results is small. Perturbation method provides the basis of model reduction, avoiding large error from the expe- rience reduction.