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首页> 外文期刊>Power Electronics, IET >Global asymptotic stability assessment of three-phase inverters with saturation
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Global asymptotic stability assessment of three-phase inverters with saturation

机译：饱和三相逆变器的全局渐近稳定性评估

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摘要

Saturation is reported to have a significant influence on the stability of the inverter. In this study, a direct Lyapunov function method to analyse the stability of a three-phase inverter with saturation is presented. The overall model of the three-phase inverter is established and the order of the original model is reduced based on the singular perturbation theory. Then the global asymptotic stability assessments of inverters are transformed into linear matrix inequalities problems that are easy to be solved numerically. Through the analysis of this study, it can be proved that the three-phase inverter based on conventional proportional-integral modulation can achieve global stabilisation. The proportional coefficients of the voltage loop have the greatest influence on the stability of the three-phase inverter. Besides, the saturation also has an important effect on the stability of the inverter. The proposed method has some advantages compared with the small-signal analysis. It can quantify the stability degree of the inverter and explain some non-linear phenomena caused by saturation. Simulation developed in PSCAD demonstrates the effectiveness of this method and the results are compared with the real-time digital simulation results implemented in RT-LAB and hardware results.
机译：据报道，饱和度对逆变器的稳定性有重大影响。在这项研究中，提出了一种直接的Lyapunov函数方法来分析具有饱和状态的三相逆变器的稳定性。基于奇异摄动理论，建立了三相逆变器的整体模型，并降低了原始模型的阶数。然后，将逆变器的全局渐近稳定性评估转化为线性矩阵不等式问题，这些问题很容易用数值求解。通过本研究的分析，可以证明基于常规比例积分调制的三相逆变器可以实现全局稳定。电压回路的比例系数对三相逆变器的稳定性影响最大。此外，饱和度对逆变器的稳定性也有重要影响。与小信号分析相比，该方法具有一定的优势。它可以量化逆变器的稳定性程度，并解释由饱和引起的一些非线性现象。 PSCAD中开发的仿真证明了该方法的有效性，并将结果与​​RT-LAB中实现的实时数字仿真结果和硬件结果进行了比较。

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