Determination of Leakage Inductance Percentage for Gapped Iron-Core Shunt-Reactors with M4 Steel as Core Material

Leakage inductance component has a significant importance in total inductance value of GISR. Neglecting this component in the design phase, results in an expensive and bulky core structure. Variation of leakage inductance component in percentage is determined and presented as graphical curves for M4 steel by applying energy method. FEA are performed for various GISR with several operating voltages and temperature rise values to determine the leakage inductance component. A design tool with Matlab/Guide is also developed for analytical calculations to obtain the physical dimensions for FEA. Graphical curves introduced to the literature in this work provide manufacturers or design engineers to perform fast, reliable and economical GISR design with an alternative material and offer variety.

PDF

___

[1] Atilla Donuk, Mihai Rotaru, Jan K. Sykulski, “Defining and computing equivalent inductances of gapped iron core reactors.” Przegląd Elektrotechniczny (Electrical Review), vol.88.7b, 2012, pp.52-55.
[2] Lee R., Stephens D., “Influence of core gap in design of current limiting transformers.” IEEE Transactions on Magnetics, vol. 9.3, 1973, pp. 408-410.
[3] J.P. Vora, H.C. Barnes, B.L. Johnson, “New shunt reactor principle proved-design data and factory test results for units built on insulated core principle.” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-92.3, 1973, pp. 900-906.
[4] B. Tomczuk, K. Babczyk, “Calculation of self and mutual inductances and 3-D magnetic fields of chokes with air gaps in core.” Electrical Engineering, vol. 83, 2001, pp. 41-46.
[5] A. Bossi, G. Tontini, F. Coppadoro, “Influence of dimensional parameters on the design of gapped-core shunt reactors.” IEEE Transactions on Power Apparatus and Systems, vol. 98.4, 1979, pp. 1144-1144.
[6] A. Lotfi, M. Faridi, “Design optimization of gapped-core shunt reactors.” IEEE Transactions on Magnetics, Vol. 48.4, 2012, pp. 1673-1676.
[7] Y. Zhao, F. Chen, X. Ma, Z. Zhou, “Optimum design of dry-type air-gapped iron-core reactor based on dynamic programming and circular traversing algorithm.” International Conference on Electromagnetic Field Problems and Applications, Dalian, Liaoning, China, 2012.
[8] B. Tong, Y. Qingxin, Y. Rongge, Z. Lihua, Z. Changgeng, “Research on stress characteristics of shunt reactor considering magnetization and magnetostrictive anisotropy.” IEEE Transactions on Magnetics, vol.54.3, 2018.
[9] H.J.Kim, G.H. Lee, C.H. Jang, J.P. Lee, “Cost-effective design of an inverter output reactor in ASD applications.” IEEE Transactions on Industrial Electronics, vol. 48.6, 2001, pp. 1128-1135.
[10] W.A. Roshen, “Fringing field formulas and winding loss due to an air gap.” IEEE Transactions on Magnetics, vol. 43.8, 2007, pp. 3387-3394.
[11] H.D. Gersem, K. Hameyer, “A finite element model for foil winding simulation.” IEEE Transactions on Magnetics, vol. 37.5, 2001, pp. 3427-3432.
[12] Atilla Dönük, Modeling and Design of Iron-Core Shunt Reactors with Discretely Distributed Air-Gaps, Middle East Technical University, 2012.
[13] A. Donuk, H.F. Bilgin, M. Ermis, “A practical approach to the design of power shunt-reactors with discretely distributed air-gaps.” International Review of Modelling and Simulations, vol.6.2, 2013, pp. 567-576.