一种变压器时域场路耦合计算的自适应算法

发布时间：2018-06-21 20:13

本文选题：直流偏磁 + 时域场路耦合　；参考：《电工技术学报》2014年12期

【摘要】：采用时域场路耦合模型研究变压器直流偏磁,推导绝对稳定域分析计算收敛性,研究稳定边界对应时间步长h0与状态矩阵特征值的关系,定义磁场求解频率w衡量计算效率,构造动态电感变化函数评价磁场计算精确性。根据绝对稳定域分析步长和w对计算精确性和效率的影响,提出一种基于时域场路耦合模型的自适应变步长算法,并与定步长算法对比,该方法能够根据变压器非线性励磁的时变性自动修正迭代步长,从而提高效率和精确性。实验结果验证了自适应算法的正确性和有效性,为变压器等电磁设备在交直流混合模式下的时域计算提供新思路。
[Abstract]:The DC bias magnetic field of transformer is studied by time-domain field-circuit coupling model, the convergence of absolute stability domain analysis is deduced, the relation between the corresponding time step h _ 0 of stable boundary and the eigenvalue of state matrix is studied, and the calculating efficiency is measured by defining the frequency w of magnetic field solution. The dynamic inductance variation function is constructed to evaluate the accuracy of magnetic field calculation. According to the effect of step size and w on calculation accuracy and efficiency in absolute stability domain, an adaptive variable step size algorithm based on time-domain field-path coupling model is proposed and compared with the fixed-step algorithm. This method can automatically correct the iterative step size according to the time variation of nonlinear excitation of transformer, thus improving the efficiency and accuracy. The experimental results verify the correctness and effectiveness of the adaptive algorithm and provide a new idea for the time-domain calculation of electromagnetic equipment such as transformers in AC / DC hybrid mode.
【作者单位】：东北电力大学电气工程学院;黑龙江省电力科学研究院;
【基金】：长江学者和创新团队发展计划(IRT114) 吉林省科技发展计划(20140203003SF)资助项目
【分类号】：TM41

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