page_title: Gyrator–capacitor model
section_title: Transformer with gap and leakage flux
hierarchical_section_title: Gyrator–capacitor model / Examples / Transformer with gap and leakage flux
caption_attribution_description: English: A representation of a single phase transformer showing magnetic elements, a magnetic gap and leakage flux.
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 approach can accommodate leakage inductance and air gaps in the magnetic circuit. Gaps and leakage flux have a permeance which can be added to the equivalent circuit as capacitors.  The permeance of the gap is computed in the same way as the substantive elements, except a relative permeability of unity is used.  The permeance of the leakage flux may be difficult to compute due to complex geometry.  It may be computed from other considerations such as measurements or specifications.
  CPL and CSL represent the primary and secondary leakage inductance respectively.  CGAP represents the air gap permeance.
caption: Transformer with gap and leakage flux.
exif: {}