The series resonance under Wuhan UHV can help many power workers conduct various power tests more conveniently.

The conditions for series resonance can be summarized as follows:

Component connection sequence: Inductive, capacitive, and resistive components in a circuit must be connected in a certain order. Usually, inductors are located before capacitors, while capacitors are located before resistors. This arrangement of connection sequence plays a crucial role in the resonance characteristics of the circuit.

Component value selection:

At the resonant frequency, the impedance of inductive and capacitive components is equal, that is, the inductive impedance (X_L) is equal to the capacitive impedance (X_C). Expressed mathematically as: wL=1/wC, where w is the angular frequency at the resonant frequency, L is the inductance value, and C is the capacitance value.

The impedance of inductors and capacitors matches the impedance of resistive elements.

External excitation frequency: The frequency of external periodic excitation must be equal to the resonant frequency of the circuit. Only when the external excitation frequency perfectly matches the resonant frequency of the circuit, can the circuit reach a resonant state and the amplitude reach its maximum value.

During resonance, the circuit exhibits the following characteristics:

The reactance X of the circuit is equal to 0, therefore the complex impedance Z of the circuit is simplified to a pure resistance R.

The impedance is minimized, the current reaches its maximum value, and it is in phase with the port voltage.

The power supply, voltage, and current are in phase.

The reactive power is 0, which means there is energy exchange between the inductor and capacitor, and the power supply only provides active power to the resistor.

These conditions collectively ensure that the circuit can achieve maximum amplitude and efficiency in resonance state.