离网运行的直流微电网可达性分析

Reachability Analysis of Off-grid DC Microgrids

为刻画不确定扰动下离网运行的直流微电网系统运行特性曲线并描述系统的安全运行范围,提出一种能够有效描述系统在扰动下运行状态的可达性分析方法。该方法基于齐诺多面体来描述直流微电网系统的不确定扰动,进而通过一次计算便可得出所有描述系统变化趋势的可达集集合,以及状态变量的运行区域与运行边界,快速判断系统在各类扰动下的稳定运行状态。相比传统蒙特卡罗时域仿真法,对于不确定性扰动下系统稳定运行状态的判断效率显著提升。通过与Matlab/Simulink时域仿真结果的对比分析,验证了所提可达性分析方法的有效性与高效性。

To describe the operating characteristic curves of an off-grid DC microgrid system under uncertain perturba-tions and specify its safe operating range,a reachability analysis method which can effectively characterize its operating state under perturbations is proposed.This method is based on a zonotope to describe the stochastic perturbations of the DC microgrid system.Then,all the reachable sets describing the trend of the system,as well as the operating regions and boundaries of state variables,are derived from computation for only one time.As a result,the stable operating state of the system under various types of perturbation can be quickly determined.Compared with the traditional Monte Carlo time-domain simulation method,this method can significantly improve the efficiency of determining the stable operating state of the system under stochastic perturbations.The effectiveness and efficiency of the proposed reachability analysis method is verified by comparing and analyzing the results obtained using the Matlab/Simulink time-domain simulation method.