改进的Lyapunov直接法控制单相Buck型逆变器

Control of single-phase Buck inverter by improved Lyapunov direct method

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Lyapunov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。

Regarding to the stability limitation of the traditional linear control, an improved nonlinear control 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.