单相全桥DC-AC电压逆变电路数字控制中的振荡现象分析

Analysis of oscillation phenomenon in digital controlled DC-AC H-bridge inverter

考虑数字控制采样计算延迟,建立了单相全桥DC-AC电压型逆变电路在负载电压外环电感电流内环加给定电压前馈控制方法下的离散迭代模型.通过分析相应的Jacobian矩阵特征值轨迹,确定该数字控制逆变器失稳时分岔点类型为Hopf分岔.对离散迭代模型进行数学变换,得出了控制器边界的解析表达式以及系统发生分岔时振荡频率的解析表达式,从而揭示了系统发生振荡现象的内在物理机理.最后,通过Simulink仿真以及电路实验证明了理论分析的正确性和有效性.

The discrete-time iterative map of digitally controlled DC-AC H-bridge inverter with outer load-voltage loop and inter inductance-current loop plus voltage-reference feedforward loop is derived by considering the effect of the time delay problems inherent in digital control system. The type of the bifurcation point when the system loses stability is predicted in terms of the eigenvalues of the Jacobian matrix,and it is found that the type is of the Hopf bifurcation. The analytic expressions of the stability boundaries and the oscillation frequency are deduced, and the underlying mechanism of this nonlinear phenomenon is analyzed. Finally, the theoretical results are verified by simulations and circuit experiments.