电压控制正极性输出罗变换器的改进平均模型建模及稳定性分析

基于平均建模法并考虑到正极性输出罗(positive output super-lift Luo, POSL Luo)变换器中能量传输电容电压存在突变的事实, 建立了POSL Luo变换器的改进平均模型, 推导并分析了POSL Luo变换器输出电压对占空比的传递函数. 建立了电压控制POSL Luo变换器的输出电压对基准电压的传递函数, 分析了系统的稳定性. 采用PSIM软件进行电路仿真以及设计硬件电路进行电路实验, 以PSIM仿真结果和电路实验结果验证了模型的有效性和理论分析的正确性. 研究结果表明: 相比于POSL Luo变换器已有的平均模型, 采用本文的改进平均模型可有效的分析POSL Luo变换器的特性及电压控制POSL Luo变换器的稳定性.

Improved averaged model and stability analysis of voltage-mode controlled positive output super-lift Luo converter

Positive output super-lift (POSL) Luo converter, which has some particular good features: such as its power switch being grounded, high voltage gain and positive polarity output, is a good topology for overcoming the drawbacks of the conventional Buck and Boost converters to obtain high output voltage and power for satisfying the requirements in practical engineering. In this paper, based on the averaging method and taking into account the abrupt changing of the voltage across the energy-transferring capacitor, the improved reduced order averaged model and the corresponding small signal model of the POSL Luo converter are established, and its transfer function from the duty cycle to the output voltage is derived and analyzed. By combining the derived transfer function from the duty cycle to the output voltage of the POSL Luo converter, with that for the voltage compensator and that for the pulse width modalation (PWM) generator, the transfer function from the reference voltage to the output voltage of the voltage-mode controlled POSL Luo converter is also derived. And then, the stability of the voltage-mode controlled POSL Luo converter is identified by calculating the poles of its transfer function from the reference voltage to the output voltage, so the corresponding stability boundaries are obtained. The power electronic simulator (PSIM) software is applied to simulate the POSL Luo converter in time domain and frequency domain to preliminarily confirm the effectiveness of the established transfer function from the duty cycle to the output voltage of the POSL Luo converter, and to simulate the voltage-mode controlled POSL Luo converter to preliminarily verify the theoretical analysis about its stability. Finally, the hardware circuits for the POSL Luo converter and the voltage-mode controlled POSL Luo converter are designed, and the circuit experimental results in time domain from the digital oscilloscope and in frequency domain from the impedance/gain-phase analyzer are presented for further validation. Theoretical analysis, PSIM simulations and circuit experiments are in basic agreement with one other, and all of them demonstrate that it is effective to use the improved average model to analyze the performance of the POSL Luo converter and the stability of the voltage-mode controlled POSL Luo converter.