CAJ | 학술논문

针对传统线性控制存在的稳定局限性问题，应用Lyapunov直接法设计了改进单相Buck型逆变器的改进非线性控制策略。在单相逆变器准稳态平均模型的基础上通过构建了二次型Lya-punov能量函数，导出了满足系统稳定收敛的控制方程，采用积分复位电路模拟求解出了控制方程中的开关占空比，整体控制电路的实现简单。此外，给出了系统的稳定性理论证明和系统稳态性能分析，并给出了所提控制与传统的PID控制的模型对比分析。最后，搭建了实验样机，所给的实验结果证实了理论分析的正确性和所提Lyapunov非线性控制策略的有效性。
침대전통선성공제존재적은정국한성문제，응용Lyapunov직접법설계료개진단상Buck형역변기적개진비선성공제책략。재단상역변기준은태평균모형적기출상통과구건료이차형Lya-punov능량함수，도출료만족계통은정수렴적공제방정，채용적분복위전로모의구해출료공제방정중적개관점공비，정체공제전로적실현간단。차외，급출료계통적은정성이론증명화계통은태성능분석，병급출료소제공제여전통적PID공제적모형대비분석。최후，탑건료실험양궤，소급적실험결과증실료이론분석적정학성화소제Lyapunov비선성공제책략적유효성。
Regarding to the stability limitation of the traditional linear control, an improved nonlinear con-trol strategy derived on Lyapunov direct method was proposed for the single phase Buck inverter. On the basis of the quasi steady state average model of the proposed system, a quadratic energy-like Lyapunov function was presented and as well as its control law, which a stable convergence of the proposed system. The duty cycle of the control equation was carried out by using integral reset circuit. Implementation of the proposed controller is simple. Moreover, the stability of the proposed system was verified in theory and system performace analysis was shown, including the model comparison results between the proposed system and the traditional PID control one. Finally, the experimental circuit was conducted. The pro-posed experiment results show the correctness of theoretical analysis and the feasibility of the proposed Lyapunov control scheme.