Abstract

For a linear equivalent circuit of a dc–dc converter of LLC type, a generalized vector-matrix equation is obtained for individual intervals of circuit linearity. When solving the third-order vector-matrix differential equation for an LC circuit based on the method of dividing processes into fast (in the LC circuit) and slow (in the converter output circuit) ones, the output voltage of the converter is assumed to be constant over the circuit half-cycle operation. This voltage is calculated by averaging over the average value of the converter output current obtained in the previous half-cycle. The processes in the dc–dc converter are calculated using the fitting method, in which the value of the LC circuit state vector at the end of the circuit linearity interval is used as its initial value in the next linearity interval. This method includes a standard algorithm for calculating the process over a half-cycle. A half-cycle can consist of several intervals of linearity. The start and end moments of these intervals are determined, as well as the voltage values on the output diagonal of the inverter bridge and on the secondary winding of the output transformer. The integral of the converter output current is calculated. The comparison of the calculated results with the results of simulation in the MATLAB/Simulink environment at the start confirms the correctness of the proposed method for calculating transients.

中文翻译：

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LLC型直流谐振变换器中过渡过程的计算和建模

摘要

对于LLC型DC-DC转换器的线性等效电路，对于电路线性度的各个间隔，可以获得一个广义的矢量矩阵方程。当基于将过程分为快过程（在LC电路中）和慢过程（在转换器输出电路中）的方法来求解LC电路的三阶矢量矩阵微分方程时，假定转换器的输出电压为在电路半周期操作中保持恒定。通过对上一个半周期中获得的转换器输出电流的平均值进行平均来计算该电压。dc-dc转换器中的过程使用拟合方法计算，其中LC值电路线性间隔结束时的电路状态向量将用作下一个线性间隔的初始值。该方法包括用于计算半周期过程的标准算法。一个半周期可以包含几个线性间隔。确定这些间隔的开始和结束时刻，以及逆变器桥的输出对角线上和输出变压器的次级绕组上的电压值。计算出转换器输出电流的积分。首先将计算结果与在MATLAB / Simulink环境中的仿真结果进行比较，证实了所提出的瞬态计算方法的正确性。