基于PI控制的H桥逆变器工作稳定性研究

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (16) : 62-68.

论文

基于PI控制的H桥逆变器工作稳定性研究

江伟，吴荣华

作者信息 +

A study on working stability of H-bridge inverter based on PI control

JIANG Wei，WU Ronghua

Author information +

文章历史 +

摘要

PI控制器具有使用方便、适应性和鲁棒性强等特点。因此，在负载不确定的逆变器中被广泛运用。然而，H桥逆变器是强的非线性系统，必然表现出典型的复杂动力学行为。本文以基于PI控制的H桥逆变器为研究对象。首先，运用频闪映射理论建立该逆变器的离散数学模型；其次，当固定积分调节因数时，得到以比例调节因数为分岔参数的分岔图，并通过迭代图和时域图进行验证。当固定比例调节因数时，得到以积分调节因数为分岔参数的分岔图，并通过频闪图和频谱图进行验证。再次，运用快变稳定性定理对系统工作的稳定性进行分析，进一步的验证了仿真与理论分析的一致性。最后，研究表明输入电压、负载电感与电阻等外部参数对系统稳定性能同样具有重要的影响。因此，该研究对于深刻理解和认识基于PI控制的H桥逆变器工作稳定性有一定的理论意义和实际的工程价值，为该系统的设计提供有力的理论保障。

Abstract

PI controllers are easy to use, adaptable and robust. Therefore, they are widely used in inverters with uncertain loads. However, H-bridge inverters are strong nonlinear systems and necessarily exhibit typical complex dynamic behavior. This paper takes PI-control H-bridge inverter as the research object. Firstly, the stroboscopic mapping theory is used to establish the discrete mathematical model of the inverter. Secondly, when the integral adjustment factor is fixed, a bifurcation diagram with the proportional adjustment factor as the bifurcation parameter is obtained, and verified by iterative and time domain diagrams. When the proportional adjustment factor is fixed, a bifurcation diagram with the integral adjustment factor as the bifurcation parameter is obtained, and verified by a stroboscopic graph and a spectrum graph. Thirdly, the stability of the system is analyzed by using the fast-changing stability theorem, which further verifies the consistency between simulation and theoretical analysis. Finally, research shows that external parameters such as input voltage , load inductance , and resistance also have important effects on system stability. Therefore, this research has certain theoretical significance and practical engineering value for deep understanding the work stability of the H-bridge inverters system based on PI control and it can provide a strong theoretical guarantee for the design of this system.

关键词

H桥逆变器

/ 工作稳定性 / 动力学行为

Key words

H-bridge inverter

/ Work stability / Dynamic behavior

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江伟，吴荣华. 基于PI控制的H桥逆变器工作稳定性研究[J]. 振动与冲击, 2020, 39(16): 62-68

JIANG Wei，WU Ronghua. A study on working stability of H-bridge inverter based on PI control[J]. Journal of Vibration and Shock, 2020, 39(16): 62-68

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