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Circuit resonance
The phenomenon of a passive (referring to a circuit without an independent power sHVHIPOTce) linear time invariant circuit containing an inductor coil and a capacitor exhibiting pure resistance properties when subjected to an external power sHVHIPOTce at a specific frequency. This specific frequency is the resonant frequency of the circuit. A circuit whose main working state is resonance is called a resonant circuit. Wireless equipment uses vibration circuits to complete functions such as tuning and filtering. The power system needs to prevent resonance to avoid causing overcurrent and overvoltage.
There are linear resonance, nonlinear resonance, and parametric resonance in circuits. The former is resonance that occurs in linear time invariant passive circuits, with series resonant circuits being a typical example. Nonlinear resonance occurs in circuits containing nonlinear components. A circuit composed of iron core coils and linear capacitors in series (or parallel) (commonly known as a ferromagnetic resonance circuit) can undergo nonlinear resonance. Under sinusoidal excitation, fundamental resonance, high-order harmonic resonance, subharmonic resonance, and amplitude and phase jumps of current (or voltage) will occur in the circuit. These phenomena are collectively referred to as ferromagnetic resonance. Parametric resonance is the resonance that occurs in circuits containing time-varying components. Parametric resonance may occur in a circuit with a capacitive load in a salient pole synchronous generator.
A series resonant circuit is a resonant circuit composed of a linear time invariant inductor coil and a capacitor connected in series. The resonance generated by this circuit is called series resonance, also known as voltage resonance. When the frequency of the applied voltage ω is equal to the resonant frequency ω 0 of the circuit, that is
In the formula, L is an inductor and C is a capacitor, which causes resonance. In addition to changing ω to make the circuit resonate, adjusting the values of L and C can also make the circuit resonate. The energy process inside the circuit during resonance is the periodic exchange of equal energy between inductance and capacitance. The performance of the circuit is represented by the quality factor Q value
Q＝1／Rω0C
The larger the Q value, the sharper and narrower the resonance curve, and the better the selectivity of the circuit. When considering the internal resistance of a signal sHVHIPOTce, the Q value needs to decrease, therefore, a series resonant circuit should not be used in conjunction with a high internal resistance signal sHVHIPOTce.
A parallel resonant circuit is a resonant circuit composed of a linear time invariant inductor coil and a capacitor connected in parallel. The resonance among them is called parallel resonance, also known as current resonance. Using Q to represent the performance of the circuit
In the formula, R is a resistor, L is an inductor, C is a capacitor, ω is the non resonant frequency, and ω 0 is the resonant frequency. The energy process inside the circuit is similar to that of a series resonant circuit. The internal resistance of the signal sHVHIPOTce will reduce the Q value, and the smaller the internal resistance, the smaller the quality factor value. Therefore, parallel resonant circuits should not be used with low internal resistance signal sHVHIPOTces.