基于下垂控制且考虑饱和约束的直流电力系统大信号分析与控制器综合

In DC power systems dominated by power electron-ic devices,constant power loads(CPLs)and saturation compo-nents significantly impact large-signal stability.During the large-signal stability analysis process,the presence of multiple state variables and high-order system poses substantial challeng-es.To address this,considering the complete control dynamics,this paper proposes an equivalent single-machine(ESM)model of the droop-based DC power systems to reduce the complexity of the large-signal analysis.Building on the proposed ESM mod-el,considering the dynamics of CPL and saturation constraints,a region of attraction(ROA)estimation algorithm based on sum of squares(SOS)programming is proposed,which signifi-cantly reduces the conservativeness compared with other exist-ing methods.Furthermore,a control parameter optimization al-gorithm based on SOS programming is proposed with the aim of expanding the ROA.Furthermgre,with the aim of expand-ing the ROA,controller sythesis is conducted with proposed control parameter optimization algorithm based on SOS pro-gramming.Ultimately,simulation experiments validate the accu-racy of the proposed ESM model and the proposed ROA esti-mation algorithm,as well as the effectiveness of the control pa-rameter optimization algorithm.