无须考虑电源接法和性质的三相电压型整流器平均模型

Three-Phase Boost Rectifier Average Model Independent of Connection Mode and Waveform Properties of AC Sources

为克服三相电压型整流器现有平均模型的局限性,提出并推导一种无须考虑电源接法和性质的统一形式的平均模型.在建立开关模型过程中,处理纯电感割集时对独立状态变量个数以及独立方程数进行了严格界定;推导平均模型时,引入了冗余变量和冗余方程,使得所得模型更加直观易用.模型直接采用电感电流作状态变量,除基尔霍夫电流定律(KCL)和基尔霍夫电压定律(KVL)外,没有依赖任何额外假设.与现有模型相比,该模型去除了对输入三相交流电压波形性质的要求,因此完全适用于非正弦、非平衡、非对称的场合.仿真结果证明了模型的有效性.进一步的讨论说明,在三相正弦输入时,该模型与现有模型兼容.

To remedy the defects possessed by the existing average models of three-phase boost rectifiers, a general-formed model unnecessary to consider connection mode and waveform properties of AC sources is proposed. During establishing the switching model, the numbers of independent state variables and independent state equations are strictly defined to avoid redundant equations as dealing with circuits containing pure inductor cut set. In deriving the average model, the redundant variables and redundant equations are properly introduced to obtain an intuitive model. No extra assumptions are needed except Kirchhoff＇s current law （KCL） and Kirchhoff＇s voltage law （KVL）. The requirements for waveform properties of three-phase AC voltages are removed, therefore the proposed model is suitable for any input voltage waveforms, regardless whether they are sinusoidal or non-sinusoidal, balanced or unbalanced, symmetrical or asymmetrical. Simulation examples are provided to verify the validity of the model. The further discussions show that the proposed model is compatible with the existing ones in sinusoidal situations.