Nonlinear development of matrix-converter instabilities
Nonlinear development of matrix-converter instabilities
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DOI：
10.1007/s10665-009-9325-8
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发表时间：
2010-07
影响因子：
1.3
通讯作者：
S. Cox;J. Clare
中科院分区：
文献类型：
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作者：
S. Cox;J. Clare
矩阵转换器将三相交流电源转换为不同峰值电压和频率的电源，并且是广泛应用中的新兴技术。然而，它们容易受到不稳定性的影响，本文对其行为进行了研究。当输出/输入电压传输比q增加通过某个阈值qc时，矩阵转换器的期望的“稳态”操作模式在霍普夫分叉中变得不稳定。通过弱非线性分析和直接数值模拟的平均模型，它表明，这种分歧issubcriticalfor典型的参数值，导致滞后的过渡到振荡状态：因此可能会有不希望的大幅度振荡的输出电压，即使当qis低于线性稳定阈值qc。
Matrix converters convert a three-phase alternating-current power supply to a power supply of a different peak voltage and frequency, and are an emerging technology in a wide variety of applications. However, they are susceptible to an instability, whose behaviour is examined herein. The desired “steady-state” mode of operation of the matrix converter becomes unstable in a Hopf bifurcation as the output/input voltage-transfer ratio,q, is increased through some threshold value,qc. Through weakly nonlinear analysis and direct numerical simulation of an averaged model, it is shown that this bifurcation issubcriticalfor typical parameter values, leading to hysteresis in the transition to the oscillatory state: there may thus be undesirable large-amplitude oscillations in the output voltages, even whenqis below the linear stability threshold valueqc.