一种变压器时域场路耦合计算的自适应算法

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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。

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	潘超
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	徐冰亮

关键词 ：直流偏磁, 时域场路耦合, 稳定边界, 自适应算法

Abstract：The time-domain magnetic field and electric circuit coupled model is applied for DC-biased transformer. And the absolutely stable region is determined to judge the convergence of computation. According to the stable boundary,the time step,which is expressed as h₀,is researched with state matrix. Variation function of dynamic inductances is established to evaluate the magnetic changing. Meanwhile,the magnetic solving frequency written in w is defined to handle the efficiency. On the basis of stability analysis,impacts of h and w on accuracy and efficiency are discussed. Furthermore,an improved self-adaptive time-varying algorithm is proposed,in which,the iterative step can be revised to deal with the time-varying nonlinear excitation. Compared with the fixed-step algorithm,the efficiency and accuracy can be enhanced. Experiment is carried out to prove the self-adaptive method,which will be a new way for time-domain computation of practical electro- magnetic devices such as transformers in AC-DC hybird system.

Key words： DC bias time-domain magnetic field and electric circuit coupling stable boundary self-adaptive algorithm

收稿日期: 2013-09-12 出版日期: 2015-01-22

PACS:	TM74
	TM41

基金资助:长江学者和创新团队发展计划（IRT114）和吉林省科技发展计划（20140203003SF）资助项目。

作者简介: 潘超男，1981年生，副教授，研究方向为电力系统电磁兼容。何雯婷女，1991年生，硕士研究生，研究方向为电力系统稳定。

引用本文:

潘超，何雯婷，郝文波，徐冰亮. 一种变压器时域场路耦合计算的自适应算法[J]. 电工技术学报, 2014, 29(12): 113-119. Pan Chao,He Wenting,Hao Wenbo,Xu Bingliang. A Self-Adaptive Algorithm of Time-Domain Magnetic Field and Electric Circuit Coupled Computation for Transformer. Transactions of China Electrotechnical Society, 2014, 29(12): 113-119.

链接本文:

http://dgjsxb.ces-transaction.com/CN/Y2014/V29/I12/113

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