Nazarzadeh, Jalal; Naeini, Vahid A generalized dynamical model for transformers with saturation and hysteresis effects. (English) Zbl 1278.93037 Math. Comput. Model. Dyn. Syst. 19, No. 1, 51-66 (2013). Summary: This article presents a new generalized non-linear dynamical model of a transformer with saturation and hysteresis effects. The structure of this new model is based on a magnetic equivalent circuit with non-linear reluctance elements. Using this method, accurate models of three- and five-legged transformers with magnetic saturation and hysteresis phenomena of iron core are introduced and inrush current in normal and sequential phase energization techniques are evaluated. Moreover, the effects of neutral resistance, magnetic structure and winding connections on inrush current are determined. In addition, for validation of the proposed model, some numerical simulations are made and compared with other techniques. Simulation results illustrate that the proposed model has high accuracy and efficiency for non-linear dynamical modelling of a transformer. MSC: 93A30 Mathematical modelling of systems (MSC2010) 93C10 Nonlinear systems in control theory Keywords:core saturation; hysteresis loss; inrush current; magnetic equivalent circuit; non-linear dynamical model; three-five-legged transformers PDFBibTeX XMLCite \textit{J. Nazarzadeh} and \textit{V. Naeini}, Math. Comput. Model. Dyn. Syst. 19, No. 1, 51--66 (2013; Zbl 1278.93037) Full Text: DOI References: [1] Cho S.D., Parameter estimation for transformer modeling (2002) [2] DOI: 10.1049/ip-c.1993.0040 [3] DOI: 10.1109/61.248289 [4] DOI: 10.1109/TPWRD.2003.820224 [5] DOI: 10.1109/61.517516 [6] DOI: 10.1016/j.physb.2005.10.062 [7] DOI: 10.1002/jnm.673 · Zbl 1165.78303 [8] DOI: 10.1109/TEC.2010.2065231 [9] DOI: 10.1109/TPWRD.2004.843465 [10] Xu W., IEEE Trans. Power Deliv 22 pp 208– (2007) [11] Ray S., IEE Proc. C 138 pp 275– (1991) [12] DOI: 10.1109/20.486517 [13] DOI: 10.1109/TMAG.2010.2040623 [14] DOI: 10.1109/TPWRD.2004.843467 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.