Mathematical Modeling and Optimization Of A Three-Phase Saturable Reactor


Evgeni I. Zabudskiy,Galina I. Balandina,



Saturating Reactor,Magnetic Field,Finite Element Method,Mathematical Model,


On the basis of Maxwell's field theory and the finite element method, a generalized mathematical model and its software implementation have been developed that make it possible to study the "anatomy" of electromagnetic devices with adjustable inductivity and to determine correlations between their structural and circuit features and differential and integral characteristics. The space-time distribution of the magnetic field in typical designs of controlled reactors with a pulsating and rotating field and their characteristics are determined, design solutions for devices optimization are adopted. The results for a three-phase saturable reactor are presented.


I.Alexandrov G., (2002).Fast controllable reactor of transformer type 420 kV, 50 MVA commissioned in Electrichestvo, vol. 3.

II.Belyaev A., Evdokunin G.A., (2009) et al. Rationale for application of shunt compensation devices for transit transmission 500 kV in Electrichestvo, vol.2,

III.Bengtsson C., Gajic Z., Khorami M., (2012) Dynamic Compensation of Reactive Power by Variable Shunt Reactors: Control Strategies and Algorithms. Paper C1-303, CIGRE 2012.

IV.Bryantsev A., (2003) Power Reactors Controlled by Bias Magnetization –as an element of the electroenergy system in Russian Electrical Engineering, vol. 1.

V.Bryantsev A., Makletsova E.E. and others, (2003). Shunting Reactors Controlled By Bias Magnetization For (35-500)-Kv Grids in Russian Electrical Engineering, vol. 74, No 1, pp. 4-12.

VI.Dolgopolo A., (2014). Controlled shunt reactors. The principle of operation, construction, relay protection and automation. Energy, Moscow,120p.

VII.Dolgopolov A., Sokolov S.E., (2012) Controlled reactors. Technology review in Electrical Engineering News, vol. 75, No3.

VIII.Zabudsky E.I., (1999). Analysis of controlled electrical power devices by the finite element method, MGAU, Moscow, 141 p.

IX.Zabudsky E., (2015). Modeling and Analysis of Electromagnetic Modes of Electric Power Devices. In Information Technologies & Knowledge, Vol. 9, Number 1, ITHEA, Sofia (Bulgaria), pp.80-99.

X.Zabudsky E.I., ErmurakiYu.V., et al., (1992). Three-phase saturable reactor. Ac./1781711 USSR, 15.12.92, BI No 46.

XI.ZabudskyE.I., ErmurakiYu.V., et al., (1991). Three-phase static ferromagnetic frequency treasure. Ac./1663721 USSR, 15.07.91, BI No. 26.

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