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中文摘要：
摘要：为解决直流侧电流断续模式（discontinuous current mode，DCM）下不控整流器因扰动过程中直流脉波周期、导电角均可变而不易数学建模的问题，通过研究带LC滤波的m相桥式不控整流器DCM下的稳态模型，得出导电角和电源电压初始相角的非线性约束方程，提出一种将不控整流器近似为定直流脉波周期、定导电角的可控整流器的小信号建模方法，并运用开关函数法和谐波平衡原理，分别建立带LC滤波的单相、三相桥式不控整流器DCM下状态方程形式的小信号数学模型。通过与经实验验证的仿真模型进行对比，证明所提出的建模方法是有效的，所建立的小信号数学模型维数越高，计算结果越精确。
英文摘要：
As periods of DC pulses and conduction angles are variable during disturbances, it is difficult to establish the dynamic mathematical models of diode rectifiers operating in discontinuous current mode （DCM）. To solve this problem, the steady state model of m-phase diode bridge rectifier with LC filter was presented, nonlinear constraint equations about conduction angle of diode rectifier and initial angle of source＇s voltage were deduced. Subsequently, a small signal modeling method considering diode rectifiers as controlled rectifiers with fixed periods of DC pulses and fixed conduction angles was proposed. Using switch functions and principle of harmonic balance, the small signal mathematical models of single-phase and three-phase diode bridge rectifiers with LC filters operating in DCM were established. Computational results of the established small signal models and simulation models validated by experiments show that the proposed modeling method is effective, and the precision of the small signal models is proportion to their dimensions.
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