为提高电力系统暂态稳定性评估效率,基于奇异摄动理论和非线性系统稳定域边界二次近似方法,通过将非线性系统的稳定裕度指标在奇异摄动参数处进行高阶泰勒展开,提出一种基于降阶模型的非线性系统稳定性快速评估方法,并给出最小阶降阶模型的选取依据。最后,以单机交流供电电力系统和四机直流供电电力系统的暂态稳定性评估为例,通过与传统非线性系统稳定域边界二次近似方法进行比对,验证了所提出的稳定性快速评估方法可在保证评估精度的前提下,有效提高计算效率。
To improve the assessment efficiency of power system transient stability, a new fast assessment method of nonlinear system stability was proposed using the high-order Taylor series expansion of stability margin indexofthe nonlinear system, based on the singular perturbation theory, reduced model and quadratic approximation method of stability region boundary of nonlinear systems. The transient stability assessment of two typical power systems powered by single and four generators respectively demonstrate the proposed method has higher efficiency than the conventional quadratic approximation method of stability region boundary of nonlinear systems, and the same precision as the conventional method.