电力电子化电力系统随机电磁暂态仿真算法

Stochastic Electromagnetic Transient Simulation Algorithm Applied to Power Electronics Dominated Power System

为了准确高效地反映电力电子化电力系统在参数随机迁移扰动下的运行特性,该文首先分析了基于随机微分方程的电力系统随机动态模型和数值计算方法的基本特点和限制性,并从基本电气元件出发,建立了适用于电磁暂态仿真的参数随机迁移元件动态伴随电路模型。然后,以电阻–电感串联支路为例,解析推导了动态伴随电路模型的数值稳定性特征,进而针对电力电子化电力系统的仿真需求,设计了随机电磁暂态仿真的算法主流程。最后,采用RLC简单电路和三相两电平VSC电路,通过对比EMTP(electromagnetic transients program)确定性仿真和蒙特卡罗多轨迹仿真结果,验证动态伴随电路模型和所提随机电磁暂态仿真算法的正确性与有效性,且对EMTP算法框架直接兼容。

To accurately and efficiently reflect the operation characteristics of power electronic dominated power system under the disturbance of the parameter random migration, the power system dynamic model based on stochastic differential equation and its numerical solution algorithms were analyzed firstly in terms of basic characteristic and limitations. Then, regarding the basic electrical components,the dynamic companion circuit model considering the random excitation of the parameter was established for electromagnetic transient simulation. Based on the resistance-inductance series branch, the numerical stability characteristics of the dynamic companion circuit model were further derived, and thus the main algorithm process of stochastic electromagnetic transient simulation was designed to meet the simulation requirement of power electronic dominated power system. Through the comparison with electromagnetic transients program(EMTP)deterministic simulation and Monte Carlo multi-trajectory results, the case studies based on the simple RLC and VSC test systems demonstrated the validity of the proposed dynamic companion circuit models and algorithm, and the proposed algorithm was also directly compatible with the EMTP algorithm framework.