准PR调节下单相全桥逆变器的非线性现象研究

Study of Nonlinear Phenomena for Single-phase Full-bridge Inverter with Modified PR Controller

针对逆变器中存在的非线性现象,以准比例谐振调节下的单相全桥逆变器为研究对象,利用频闪映射方法推导出系统离散模型。选取比例系数作为分岔参数,得到系统的分岔图,运用折叠图的方法得到了不同分岔参数数值下系统输出电流的数值仿真图。基于分岔图和折叠图分析比例系数对逆变器电气特性的影响。通过Matlab/Simulink下的仿真结果与相同参数下折叠图的对比,验证了离散模型的正确性。最后,选取比例增益系数和积分增益系数作为双分岔参数,以系统雅克比矩阵特征值为依据得出系统在多个参数变化下的稳定范围,为准PR调节下的单相全桥逆变器的参数设计提供了理论依据。

Aiming at the nonlinear phenomenon of inverter,the single-phase full-bridge inverter with modified proportional-resonant(PR)controller was regarded as the research object. The discrete model of system was built by the stroboscopic map. Selecting the proportionality coefficient as the bifurcation parameter,then the bifurcation diagram of the system was obtained,with different bifurcation parameters,numerical simulation of the output current was gained by the folded diagram. The influence of the proportionality coefficient were analysed by the bifurcation diagram and the folded diagram. The correctness of discrete model was verified by comparing the folded diagram with the result of Matlab/Simulink under the same parameters. Finally,the proportional coefficient and integral coefficient were put as a two-parameter bifurcation to get the system stability range based on the eigen value of Jacobian matrix,which provides a theoretical basis for the single-phase full-bridge inverter with modified PR controller.