数字控制H桥逆变器的非线性行为

Nonlinear behaviors of digitally controlled H-bridge inverter

为研究数字控制器和主电路参数变化对H桥逆变器性能的影响,利用混沌动力学理论,在分析其工作原理的基础上,利用频闪映射法构建系统离散数学模型;结合分岔图和折叠图以及Lyapunov指数方法研究了比例系数和开关周期2个控制参数变化对系统性能的影响,并利用时域波形图进行验证;采用分岔图研究主电路参数变化对系统性能的影响。结果表明,在不同控制参数和主电路参数下,系统可能会运行在单周期稳定、多周期分岔和混沌状态,具有典型的非线性行为。该研究结果可为数字控制H桥逆变器的控制器设计和主电路参数设置提供有益指导。

In order to analyze the influences of digital controller parameters and main circuit parameters on Hbridge inverter performance,By using chaotic dynamics theory,based on the circuit principle analysis,the discrete mathematical model was established by stroboscopic map method. The effect of control parameters on system performance was researched by combining bifurcation diagram with fold figure and Lyapunov exponent method,and the results were verified by time-domain waveform. Finally,the nonlinear behaviors under different main circuit parameters were studied by bifurcation diagram. The results showed that the system could run in a single cycle state,multiple periodic bifurcation state or chaos state stability under different control parameters and circuit parameters,and had typical nonlinear behaviors. The research results provide a certain guidance for controller design and circuit parameters setting of H-bridge inverter.