Citation: | ZHANG Xinsheng, WANG Ruitian, XIAO Fei, REN Qiang, XIE Qinyuan. Fast Calculation Method for Iron Loss of Transformer Fed by Cascaded H-Bridges with CPS-SPWM[J]. Journal of Southwest Jiaotong University, 2024, 59(3): 581-589, 599. doi: 10.3969/j.issn.0258-2724.20210789 |
Aiming at the transformer fed by cascaded H-bridges with carrier phase-shifted (CPS) sinusoidal pulse-width modulation (SPWM), a fast method is proposed to calculate the iron loss on the basis of the classical loss separation model. Firstly, the lumped duty cycle of the SPWM voltage waveform is defined, and the analytical model for modulation ratio is derived. Secondly, based on the classical loss separation model and the lumped duty cycle, the iron loss calculation model is built for CPS-SPWM cascaded H-bridge. The method can directly use the modulation ratio, DC bus voltage, and other parameters to calculate the iron loss, thus avoiding the harmonic analysis or numerical integration process in conventional methods. Then, based on the proposed iron loss model, an equivalent simulation method is proposed for the iron loss under the SPWM voltage excitation. With this method, the relative error of iron loss is less than 3.6% and the used time is reduced by 74.5%. Finally, the proposed method is verified by experiments and the maximum calculation error of iron loss is less than 7.6%.
[1] |
孙兴法,聂子玲,朱俊杰,等. 交直流共用主电路及其控制方法在双输出航空静变电源中的应用[J]. 电机与控制应用,2017,44(12):6-11. doi: 10.3969/j.issn.1673-6540.2017.12.002
SUN Xingfa, NIE Ziling, ZHU Junjie, et al. Application of AC/DC electrical source sharing the same main circuit and its control method in double-output aeronautical power supply[J]. Electric Machines & Control Application,2017,44(12):6-11. doi: 10.3969/j.issn.1673-6540.2017.12.002
|
[2] |
MAHESWARI K T, BHARANIKUMAR R, ARJUN V, et al. A comprehensive review on cascaded H-bridge multilevel inverter for medium voltage high power applications[J]. Materials Today: Proceedings,2021,45(2):2666-2670.
|
[3] |
CHANG L , JAHNS T M , BLISSENBACH R . Characterization and modeling of soft magnetic materials for improved estimation of PWM-induced iron loss[J]. IEEE Transactions on Industry Applications, 2020, 56(1):287-300.
|
[4] |
ZHU S, SHI B. Modeling of PWM-induced iron losses with frequency-domain methods and low-frequency parameters[J]. IEEE Transactions on Industrial Electronics,2022,69(3):2402-2413. doi: 10.1109/TIE.2021.3065626
|
[5] |
KAUDER T, BELGRAND T, LEMAÎTRE R, et al. Medium-frequency power transformer using GOES for a three-phase dual active bridge[J]. Journal of Magnetism and Magnetic Materials,2020,504:166672.1-166672.13. doi: 10.1016/j.jmmm.2020.166672
|
[6] |
BERTOTTI G. General properties of power losses in soft ferromagnetic materials[J]. IEEE Transactions on Magnetics,1988,24(1):621-630. doi: 10.1109/20.43994
|
[7] |
张冬冬,郭新志,安睿驰,等. 基于DFT的感应电机转子谐波磁通密度高效分离方法及负载条件下变频电机转子铁耗特性[J]. 电工技术学报,2019,34(1):75-83.
ZHANG Dongdong, GUO Xinzhi, AN Ruichi, et al. A separation method of rotor flux density harmonics based on DFT and fine analysis rotor iron losses in inverter-fed induction motors[J]. Transactions of China Electrotechnical Society,2019,34(1):75-83.
|
[8] |
刘刚,孙立鹏,王雪刚,等. 正弦及谐波激励下的铁心损耗计算方法改进及仿真应用[J]. 电工技术学报,2018,33(21):4909-4918.
LIU Gang, SUN Lipeng, WANG Xuegang, et al. Improvement of core loss calculation method and simulation application under sinusoidal and harmonic excitations[J]. Transactions of China Electrotechnical Society,2018,33(21):4909-4918.
|
[9] |
BOGLIETTI A, CAVAGNINO A, LAZZARI M, et al. Predicting iron losses in soft magnetic materials with arbitrary voltage supply: an engineering approach[J]. IEEE Transactions on Magnetics,2003,39(2):981-989. doi: 10.1109/TMAG.2003.808599
|
[10] |
ZHANG Z Q, JULEN C, ARNE N, et al. Comparison of core loss models considering the impact of PWM switching[C]//2023 IEEE 6th Student Conference on Electric Machines and Systems (SCEMS). Huzhou: IEEE, 2023: 1-7.
|
[11] |
BARBISIO E, FIORILLO F, RAGUSA C. Predicting loss in magnetic steels under arbitrary induction waveform and with minor hysteresis loops[J]. IEEE Transactions on Magnetics,2004,40(4):1810-1819. doi: 10.1109/TMAG.2004.830510
|
[12] |
ZHANG X S, WANG R T, XIAO F, et al. Design of an inductor-integrated transformer applied to inverter power supply[C]//2020 IEEE 1st China International Youth Conference on Electrical Engineering (CIYCEE). Wuhan: IEEE, 2020: 1-7.
|
[13] |
赵志刚,赵瑞,张学增. 考虑脉冲宽度调制激励特征及松弛过程影响的铁磁材料损耗分离模型研究[J]. 中国电机工程学报,2021,41(18):6431-6440.
ZHAO Zhigang, ZHAO Rui, ZHANG Xuezeng. Loss separation model of ferromagnetic materials under pulse width modulation excitation characteristics and magnetic relaxation processes[J]. Proceedings of the CSEE,2021,41(18):6431-6440.
|
[14] |
刘任,李琳. 基于损耗分离理论的非正弦激励磁心损耗计算方法研究[J]. 电工电能新技术,2018,37(9):1-9. doi: 10.12067/ATEEE1801040
LIU Ren, LI Lin. Research on calculation methods for core losses under nonsinusoidal excitation based on loss separation theory[J]. Advanced Technology of Electrical Engineering and Energy,2018,37(9):1-9. doi: 10.12067/ATEEE1801040
|
[15] |
CHEN J Q, WANG D, CHENG S W, et al. Influence of DC-biased magnetic induction on magnetic property of silicon steel[J]. IEEE Transactions on Magnetics,2019,55(5):2002007.1-2002007.7.
|
[16] |
国家市场监督管理总局,国家标准化管理委员会. 电工钢带(片)中频磁性能测量方法:GB/T 10129—2019[S]. 北京: 中国标准出版社,2019.
|
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