CAJ | 학술논문

为研究PID调节下H桥式逆变器的非线性行为，选取逆变器输入电压为分岔参数，利用频闪映射法推导出PID调节下H桥式逆变器的离散数学模型。使用Matlab编程得到系统输出电流随输入电压变化的动态分岔图，通过数值仿真验证了离散数学模型的正确性。仿真结果表明：频闪映射法适用于建立H桥式逆变器的离散数学模型；PID调节下H桥式逆变器存在分岔行为。研究结果可为建立PID调节下H桥式逆变器的离散数学模型提供参考。
위연구PID조절하H교식역변기적비선성행위，선취역변기수입전압위분차삼수，이용빈섬영사법추도출PID조절하H교식역변기적리산수학모형。사용Matlab편정득도계통수출전류수수입전압변화적동태분차도，통과수치방진험증료리산수학모형적정학성。방진결과표명：빈섬영사법괄용우건립H교식역변기적리산수학모형；PID조절하H교식역변기존재분차행위。연구결과가위건립PID조절하H교식역변기적리산수학모형제공삼고。
In order to study the nonlinear behaviour of H?bridge inverter with PID controller, inverter input voltage is selected as the bifurcation parameter, and discrete mathematical model of the H?bridge inverter with PID controller is derived with strobo?scopic mapping method. Dynamic bifurcation diagram of system output current that changes with the input voltage is obtained by Matlab programming, and the discrete model derived is verified through numerical simulation. The results of simulation show that stroboscopic mapping method is an effective way to create a discrete mathematical model of H?bridge inverter, and that bifurcation behaviour exists under H?bridge inverter with PID controller. The findings offer a reference of discrete mathematical model for H?bridge inverter with PID controller.