考虑到整流器的非线性时变特性,首先采用状态空间平均法建立了单相电压型整流器的数学模型.然后,基于李雅普诺夫稳定性理论,设计了双闭环控制系统,其中,通过电流内环控制实现整流器交流侧单位功率因数,电压外环控制率的设计解决了整流器直流侧电压稳定问题.在Matlab/Simulink平台中,搭建单相电压型整流器模型,在电网电压扰动和负载扰动2种情况下,对理论分析结果进行验证.结果表明,直流侧输出电压稳定的同时,网侧电流与电网电压同频同相,实现了两者之间的同步.%Taking the nonlinear time-varying characteristics of the rectifier,a mathematical model of the singlephase voltage rectifier was built by using the state-space averaging method.Then,based on the Lyapunov stability theory,the dual-loop controller was designed.The unity power factor of the AC-side was fulfilled by the control of the inner-current loop,and the control law of the outer-voltage loop was designed to achieve the stable of the AC-side voltage.In the Matlab/Simulink,the simulation model of the single-phase voltage rectifier was built to verify the effectiveness of the proposed control method under the disturbance of the grid voltage or the load.The simulation results show that the DC-side voltage is stable,and the grid-side current is sinusoidal and in the same frequency and phase with the AC supply voltage.
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