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油–纸绝缘结构非线性交直流复合电场计算的定点频域有限元法
引用本文:刘刚,李琳,赵小军,李文平,李博,孙优良,纪锋,李金忠.油–纸绝缘结构非线性交直流复合电场计算的定点频域有限元法[J].中国电机工程学报,2012(1):154-161,5.
作者姓名:刘刚  李琳  赵小军  李文平  李博  孙优良  纪锋  李金忠
作者单位:新能源电力系统国家重点实验室(华北电力大学);保定天威保变电气股份有限公司;中国电力科学研究院
基金项目:国家自然科学基金项目(50977030);国家电网公司科技项目(SGKJJSKF[2009])~~
摘    要:针对换流变压器交直流混合电压中含有高次谐波的特点,提出油–纸绝缘结构非线性交直流复合电场计算的定点频域有限元法,给出了定电导率的取值方法。采用定点法使得每次迭代的非线性有限元刚度阵与解向量不相关,从而提高了频域有限元法的求解速度。为验证该算法的有效性,针对一换流变压器阀侧绕组的典型模型,将频域法的计算结果与时域法的结果进行了对比,分析了不同算法的特点。计算结果表明,将定点法用于非线性交直流复合电场问题时计算量小,能够用来分析实际换流变压器的非线性交直流复合电场问题以及其他非线性非正弦稳态电场问题。

关 键 词:定点法  频域有限元  非线性  换流变压器  交直流混合电场

Analysis of Nonlinear Electric Field of Oil-paper Insulation Under AC-DC Hybrid Voltage by Fixed Point Method Combined With FEM in Frequency Domain
LIU Gang,LI Lin,ZHAO Xiaojun,LI Wenping,LI Bo,SUN Youliang,JI Feng,LI Jinzhong.Analysis of Nonlinear Electric Field of Oil-paper Insulation Under AC-DC Hybrid Voltage by Fixed Point Method Combined With FEM in Frequency Domain[J].Proceedings of the CSEE,2012(1):154-161,5.
Authors:LIU Gang  LI Lin  ZHAO Xiaojun  LI Wenping  LI Bo  SUN Youliang  JI Feng  LI Jinzhong
Affiliation:1.State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources(North China Electric Power University),Changping District,Beijing 102206,China;2.Baoding Tianwei Baobian Electric Co.,Ltd.,Baoding 071056,Hebei Province,China;3.China Electric Power Research Institute,Haidian District,Beijing 100192,China)
Abstract:The fixed point method is adopted to analyze the nonlinear electric field under the AC-DC hybrid voltage,which contains many high order harmonics,and the formula of selecting fixed-point conductivity was proposed.For the stiffness matrix is independent of the current iteration’s solution,the finite element method(FEM) in frequency domain can be used to obtain the steady periodic results effectively.To verify the proposed algorithm,a typical oil-paper insulation structure of converter transformer under the superimposed AC-DC voltage was calculated by different methods and the results show that the proposed method is suitable to analyze the nonlinear electric fields under AC-DC hybrid voltage of actual converter transformer and other periodic non-sinusoidal electric problems.
Keywords:fixed point method  finite element method(FEM) in frequency domain  nonlinear  converter transformer  AC-DC compound field
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