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Transformer
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====Deviations from ideal transformer==== The ideal transformer model neglects many basic linear aspects of real transformers, including unavoidable losses and inefficiencies.<ref>{{cite book|isbn=0-03-061758-8|title=Electrical Engineering: An Introduction|publisher=Saunders College Publishing|year=1984|page=610}}</ref> (a) Core losses, collectively called magnetizing current losses, consisting of<ref name="Say1983"/> * [[Magnetic hysteresis|Hysteresis]] losses due to nonlinear magnetic effects in the transformer core, and * [[Eddy current]] losses due to joule heating in the core that are proportional to the square of the transformer's applied voltage. (b) Unlike the ideal model, the windings in a real transformer have non-zero resistances and inductances associated with: * [[Joule heating|Joule losses]] due to resistance in the primary and secondary windings<ref name="Say1983"/> * Leakage flux that escapes from the core and passes through one winding only resulting in primary and secondary reactive impedance. (c) similar to an [[inductor]], parasitic capacitance and self-resonance phenomenon due to the electric field distribution. Three kinds of parasitic capacitance are usually considered and the closed-loop equations are provided<ref>L. Dalessandro, F. d. S. Cavalcante, and J. W. Kolar, "Self-Capacitance of High-Voltage Transformers," IEEE Transactions on Power Electronics, vol. 22, no. 5, pp. 2081β2092, 2007.</ref> * Capacitance between adjacent turns in any one layer; * Capacitance between adjacent layers; * Capacitance between the core and the layer(s) adjacent to the core; Inclusion of capacitance into the transformer model is complicated, and is rarely attempted; the [[#Real transformer equivalent circuit figure|'real' transformer model's equivalent circuit shown below]] does not include parasitic capacitance. However, the capacitance effect can be measured by comparing open-circuit inductance, i.e. the inductance of a primary winding when the secondary circuit is open, to a short-circuit inductance when the secondary winding is shorted.
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