CAJ | 학술논문

针对三相SPWM逆变器的近似线性化建模方法对系统分析的局限性，在周期切换理论的基础上对三相SPWM逆变器进行建模，并提出一种新型的稳定性分析方法。首先，在SPWM调制原理基础上，将一个工频周期按三相母线电压大小划分为6个区间，分别得到切换子系统与切换规则，即三相SPWM逆变器的周期切换模型。之后利用周期切换系统与多胞模型的稳定等价性，通过判断对应多胞模型的稳定性，实现三相SPWM逆变器的稳定性分析。仿真实验结果验证了切换模型以及稳定性分析方法的有效性，提高了系统模型的精确度和稳定性分析的灵活性。
침대삼상SPWM역변기적근사선성화건모방법대계통분석적국한성，재주기절환이론적기출상대삼상SPWM역변기진행건모，병제출일충신형적은정성분석방법。수선，재SPWM조제원리기출상，장일개공빈주기안삼상모선전압대소화분위6개구간，분별득도절환자계통여절환규칙，즉삼상SPWM역변기적주기절환모형。지후이용주기절환계통여다포모형적은정등개성，통과판단대응다포모형적은정성，실현삼상SPWM역변기적은정성분석。방진실험결과험증료절환모형이급은정성분석방법적유효성，제고료계통모형적정학도화은정성분석적령활성。
Since the traditional modeling methods of three-phase SPWM inverter have introduced some limitations on the systems analysis, an improved modeling and stability analysis method was proposed based on periodic linear switched system theory. Firstly, one power frequency cycle was divided into 6 fractions from Sinusoidal Pulse Width Modulation to establish the switched subsystems and switching rules, which constitute the switched model of three-phase SPWM converter. Then a necessary and suffi-cient condition of asymptotical stability was derived for periodic switched linear systems, and the condi-tion was used to analyze the stability of three-phase SPWM inverter by robust stability criteria for polytop-ic-type uncertainties system. The simulation results verify the effectiveness of the switched system model and the proposed stability analysis. The accuracy of SPWM inverter model and the flexibility of corre-sponding stability analysis strategy are improved by the novel method.