Asymmetrical DC bias analysis of the no-load series transformer by using the TPFEM
The time-periodic finite element method (TPFEM) is coupled with circuit equations to study the asymmetrical DC bias problems of series transformer in this study. The periodic characteristics of the current and the magnetic field are taken as the restraint conditions. Taking into account the external...
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| Published in | IET electric power applications Vol. 11; no. 2; pp. 169 - 177 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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The Institution of Engineering and Technology
01.02.2017
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| Abstract | The time-periodic finite element method (TPFEM) is coupled with circuit equations to study the asymmetrical DC bias problems of series transformer in this study. The periodic characteristics of the current and the magnetic field are taken as the restraint conditions. Taking into account the external voltages and determining the equivalent thickness of the two-dimensional magnetic system by calculating the magnetic field energy, the field–circuit coupled time-periodic finite element equations are built. The locally convergent fixed-point method is used to solve the non-linear time-varying equations by updating the fixed reluctivity. The calculated results agree well with those measured on a no-load low-voltage series transformer prototype under asymmetrical DC bias, which verifies the effectiveness of TPFEM in the DC bias calculation. The characteristics of the no-load series transformer prototype under asymmetrical DC bias are analysed based on this method. |
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| AbstractList | The time‐periodic finite element method (TPFEM) is coupled with circuit equations to study the asymmetrical DC bias problems of series transformer in this study. The periodic characteristics of the current and the magnetic field are taken as the restraint conditions. Taking into account the external voltages and determining the equivalent thickness of the two‐dimensional magnetic system by calculating the magnetic field energy, the field–circuit coupled time‐periodic finite element equations are built. The locally convergent fixed‐point method is used to solve the non‐linear time‐varying equations by updating the fixed reluctivity. The calculated results agree well with those measured on a no‐load low‐voltage series transformer prototype under asymmetrical DC bias, which verifies the effectiveness of TPFEM in the DC bias calculation. The characteristics of the no‐load series transformer prototype under asymmetrical DC bias are analysed based on this method. |
| Author | Cai, Linhai Xie, Yuqing Li, Lin Zhao, Xiaojun Wang, Shuaibing |
| Author_xml | – sequence: 1 givenname: Shuaibing surname: Wang fullname: Wang, Shuaibing email: shuaibingw@ncepu.edu.cn organization: 1State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, People's Republic of China – sequence: 2 givenname: Lin surname: Li fullname: Li, Lin organization: 1State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, People's Republic of China – sequence: 3 givenname: Xiaojun surname: Zhao fullname: Zhao, Xiaojun organization: 2Department of Electrical Engineering, North China Electric Power University, Baoding, People's Republic of China – sequence: 4 givenname: Yuqing surname: Xie fullname: Xie, Yuqing organization: 1State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, People's Republic of China – sequence: 5 givenname: Linhai surname: Cai fullname: Cai, Linhai organization: 3Power Electronics Research Institute, Global Energy Interconnection Research Institute, Beijing, People's Republic of China |
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| Cites_doi | 10.1109/TPWRD.2010.2056709 10.1109/20.996144 10.1109/TMAG.2010.2086438 10.1109/61.400878 10.1109/61.796231 10.1109/TMAG.2007.904819 10.1109/61.754087 10.1109/TMAG.2007.914888 10.1109/TMAG.2005.846496 10.1109/20.106487 10.1109/TPWRD.2012.2224674 10.1109/TMAG.2011.2141655 10.1109/TPWRD.2002.803710 10.1109/TPWRD.2013.2281516 10.1109/TMAG.1985.1064193 10.1109/TMAG.2009.2012802 10.1109/2943.503528 10.1049/iet-smt:20060031 10.1109/TMAG.2006.871460 |
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| Keywords | nonlinear timevarying equations power transformers no-load series transformer convergent fixed-point method DC bias calculation field–circuit coupled time-periodic finite element equations time-periodic finite element method finite element analysis two-dimensional magnetic system asymmetrical DC bias analysis asymmetrical DC bias problems TPFEM magnetic field energy |
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Magn. – ident: e_1_2_8_3_1 doi: 10.1109/TPWRD.2010.2056709 – ident: e_1_2_8_16_1 doi: 10.1109/20.996144 – ident: e_1_2_8_20_1 doi: 10.1109/TMAG.2010.2086438 – ident: e_1_2_8_9_1 doi: 10.1109/61.400878 – ident: e_1_2_8_10_1 doi: 10.1109/61.796231 – ident: e_1_2_8_19_1 doi: 10.1109/TMAG.2007.904819 – ident: e_1_2_8_11_1 doi: 10.1109/61.754087 – ident: e_1_2_8_18_1 doi: 10.1109/TMAG.2007.914888 – ident: e_1_2_8_12_1 doi: 10.1109/TMAG.2005.846496 – ident: e_1_2_8_14_1 doi: 10.1109/20.106487 – ident: e_1_2_8_6_1 doi: 10.1109/TPWRD.2012.2224674 – ident: e_1_2_8_13_1 doi: 10.1109/TMAG.2011.2141655 – ident: e_1_2_8_7_1 doi: 10.1109/TPWRD.2002.803710 – ident: e_1_2_8_5_1 doi: 10.1109/TPWRD.2013.2281516 – ident: e_1_2_8_15_1 doi: 10.1109/TMAG.1985.1064193 – ident: e_1_2_8_17_1 doi: 10.1109/TMAG.2009.2012802 – ident: e_1_2_8_2_1 doi: 10.1109/2943.503528 – ident: e_1_2_8_4_1 doi: 10.1049/iet-smt:20060031 – ident: e_1_2_8_8_1 doi: 10.1109/TMAG.2006.871460 |
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| Snippet | The time-periodic finite element method (TPFEM) is coupled with circuit equations to study the asymmetrical DC bias problems of series transformer in this... The time‐periodic finite element method (TPFEM) is coupled with circuit equations to study the asymmetrical DC bias problems of series transformer in this... |
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| SubjectTerms | asymmetrical DC bias analysis asymmetrical DC bias problems Asymmetry Bias convergent fixed‐point method DC bias calculation field–circuit coupled time‐periodic finite element equations finite element analysis Finite element method magnetic field energy Magnetic fields Mathematical analysis nonlinear timevarying equations no‐load series transformer power transformers Prototypes time‐periodic finite element method TPFEM Transformers two‐dimensional magnetic system Voltage |
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| Title | Asymmetrical DC bias analysis of the no-load series transformer by using the TPFEM |
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