# Resonance Series And Parallel Pdf

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## Difference Between Series and Parallel Resonance

Resonance in AC circuits implies a special frequency determined by the values of the resistance , capacitance , and inductance. For series resonance the condition of resonance is straightforward and it is characterized by minimum impedance and zero phase. Parallel resonance , which is more common in electronic practice, requires a more careful definition. The resonance of a series RLC circuit occurs when the inductive and capacitive reactances are equal in magnitude but cancel each other because they are degrees apart in phase. The sharp minimum in impedance which occurs is useful in tuning applications. The sharpness of the minimum depends on the value of R and is characterized by the "Q" of the circuit.

Depending on the arrangement of the capacitors, inductors, and resistors, the conditions for achieving resonance varies between different types of circuits. The main difference between series and parallel resonance is that series resonance occurs when the arrangement of the components creates the minimum impedance , whereas parallel resonance occurs when the arrangement of components creates the largest impedance. We have looked at a series RLC circuit in our previous article on the difference between impedance and resistance. There, we had analyzed the following circuit:. We saw that the magnitude of the total impedance can be given by. The current through the circuit is given by. As these values change, the total impedance of the circuit will also change.

## Resonance in Series-Parallel Circuits

A study of Eq. It is interesting to note that this condition can be satisfied either by having a large inductance or else by operating at a high frequency. On the other hand. Appearing in Fig. Specifically, resonance is the term used to describe the steady-state operation of a circuit or system at that frequency fOTwhich the resultant response is in time phase with the source function despite the presence of energy-storing elements. Resonance cannot take place when only one type of energy-storing element is present, e.

An RLC circuit is an electrical circuit consisting of a resistor R , an inductor L , and a capacitor C , connected in series or in parallel. The name of the circuit is derived from the letters that are used to denote the constituent components of this circuit, where the sequence of the components may vary from RLC. The circuit forms a harmonic oscillator for current, and resonates in a similar way as an LC circuit. Introducing the resistor increases the decay of these oscillations, which is also known as damping. The resistor also reduces the peak resonant frequency. RLC circuits have many applications as oscillator circuits.

Bandwidth for either series or parallel resonant circuits is the range of frequencies between the upper and lower cutoff frequencies for which the response curve.

## Difference Between Series and Parallel Resonance

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### Series and Parallel Resonance

In the previous chapter, we discussed the importance of series resonance. Now, let us discuss parallel resonance in RLC circuits. Consider the following parallel RLC circuit , which is represented in phasor domain. Here, the passive elements such as resistor, inductor and capacitor are connected in parallel. This entire combination is in parallel with the input sinusoidal current source.

Increased power generation depending on demand, becoming widespread of distributed generation systems connecting to the grid in parallel, and the expansion of network cause the fault current levels to increase in power systems. Fault current limiters are being developed to prevent damages triggered by high fault currents and indirect effects on the network. In normal operation, the SPRFCL that remains passively in the system in series resonance at the main frequency limits the fault current by means of the high impedance shown by parallel resonance when a fault condition is detected with the control circuit. The most important advantages of the SPRFCL are that in all short-circuit fault types, limiting the fault currents with a low amplitude oscillation, restraining the rising rate of fault current and also the sags in PCC common coupling point voltage can be successfully suppressed. This is a preview of subscription content, access via your institution. Please try refreshing the page.

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Series and Parallel Resonance. Page 2. Series Resonant circuit. R. 47Ω. L. ​mH. C Since this is a series circuit, the current found for the total will also be the​.

In simple reactive circuits with little or no resistance, the effects of radically altered impedance will manifest at the resonance frequency predicted by the equation given earlier.