page_title: Gyrator–capacitor model
hierarchical_section_title: Gyrator–capacitor model
caption_attribution_description: English: A simple transformer composed of two windings and a reluctance, R, is modeled by two gyrators and a capacitor of value 1/R.
context_page_description: The gyrator–capacitor model - sometimes also the capacitor-permeance model - is a lumped-element model for magnetic circuits, that can be used in place of the more common resistance–reluctance model. The model makes permeance elements analogous to electrical capacitance rather than electrical resistance. Windings are represented as gyrators, interfacing between the electrical circuit and the magnetic model.
  The primary advantage of the gyrator–capacitor model compared to the magnetic reluctance model is that the model preserves the correct values of energy flow, storage and dissipation. The gyrator–capacitor model is an example of a group of analogies that preserve energy flow across energy domains by making power conjugate pairs of variables in the various domains analogous. It fills the same role as the impedance analogy for the mechanical domain.
context_section_description: The gyrator–capacitor model - sometimes also the capacitor-permeance model - is a lumped-element model for magnetic circuits, that can be used in place of the more common resistance–reluctance model.  The model makes permeance elements analogous to electrical capacitance (see magnetic capacitance section) rather than electrical resistance (see magnetic reluctance).   Windings are represented as gyrators, interfacing between the electrical circuit and the magnetic model.
  The primary advantage of the gyrator–capacitor model compared to the magnetic reluctance model is that the model preserves the correct values of energy flow, storage and dissipation. The gyrator–capacitor model is an example of a group of analogies that preserve energy flow across energy domains by making power conjugate pairs of variables in the various domains analogous.  It fills the same role as the impedance analogy for the mechanical domain.
caption: A simple transformer and its gyrator-capacitor model.  R is the reluctance of the physical magnetic circuit.
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