Circuit Models

Van Dyke's Circuit Model

The traditional circuit model used for a piezoelectric resonator is Van Dyke's circuit model.

Van Dyke's Circuit Model

In this circuit diagram, the circuit components are traditional real capacitance's, resistance, and inductance. This model does not account for the impedance of the piezoelectric resonator away from the centre of the fundamental resonance peak, and does not work well for lossy resonators.

Complex Circuit Model

The observed sample impedance is better modelled when a circuit model is constructed using complex circuit components. For thickness, length, length-thickness extensional and thickness shear resonance modes, the following circuit model is used;

Complex Circuit Model

This complex circuit model better accounts for the impedance of lossy resonators in the vicinity of the fundamental resonance peak frequency.

For the radial resonance mode, the following circuit model is used;

Complex Radial Circuit Model

As the radial resonance is defined using the fundamental and second order resonance peak, this model works over the frequency range of the first two resonance peaks.

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