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变压器直流偏磁瞬态场路耦合计算的稳定性分析

, PP. 226-232

Keywords: 变压器直流偏磁,瞬态场路耦合,稳定性,动态电感

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Abstract:

变压器瞬态场路耦合计算存在稳定性、计算效率及精确度的问题。利用瞬态场路耦合方法,结合能量扰动原理计算磁场变化对应的动态电感。根据四阶龙格库塔法求解的高阶收敛性,推导绝对稳定域以判断计算是否收敛,分析时间步长与状态矩阵特征值的关系,定义电感变化函数评价磁场计算精确度。对单相变压器建模和仿真,计算正常运行和直流偏磁时的瞬态磁场和等效电路参数,研究耦合参数在不同励磁饱和程度时的变化规律,结果说明利用动态电感参数可以反映时变的励磁饱和情况。与传统欧拉法和改进欧拉法对比,四阶龙格库塔法具有更高的稳定性和精确性,同时验证了绝对稳定域的正确性。以稳定性为前提,合理选取磁场求解频率可以有效提高计算效率和精确度。通过实验验证了瞬态场路耦合计算的可行性和稳定性分析的可靠性,为实际变压器瞬态场路计算提供新的思路。

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