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Microwave properties of High Temperature Superconductors (HTS) exhibitdependence on RF power levels. Effects of nonlinear phenomena causing thisdependence can be modelled using lumped element circuits. Several RLC circuitsto model the surface impedance of HTS were investigated (with equationsexpressing transmitted power derived) and assessed. Linear, quadratic andexponential dependences of surface resistance RS and inductance LS on the RFpower for the model chosen as the best have been examined and used insimulations of electromagnetic responses of superconducting films in aHakki-Coleman dielectric resonator.

Lumped element modeling of nonlinear properties of high temperature superconductors in a dielectric resonator