To show the frequency response of a series RLC network and show that the resonant frequency of a series RLC circuit (original) (raw)

The RLC Circuit. Transient Response Series RLC circuit

The circuit shown on Figure 1 is called the series RLC circuit. We will analyze this circuit in order to determine its transient characteristics once the switch S is closed. The equation that describes the response of the system is obtained by applying KVL around the mesh vR vL vc Vs + + = (1.1) The current flowing in the circuit is dvc i C dt = (1.2) And thus the voltages vR and vL are given by dvc vR iR RC dt = = (1.3) 2 2 di d vc vL L LC dt dt = = (1.4) Substituting Equations (1.3) and (1.4) into Equation (1.1) we obtain 2 2 1 1 d vc R dvc vc Vs dt L dt LC LC + + = (1.5) The solution to equation (1.5) is the linear combination of the homogeneous and the particular solution p h vc vc vc = + The particular solution is 6.071/22.071 Spring 2006, Chaniotakis and Cory

Analysis of Coupled Oscillators through a Series RLC Network

2010

226 Abstract —Voltage controlled oscillators are present in almost every digital communication system. Thus, coupled microwave oscillators are the subject of intense research activities. Recently, they are used to control the phase in microwave antenna arrays as an alternative to electronic beam steering methods. Researches are made so that a particular phase shift can be obtained by choosing the free-running frequencies of the oscillators in the array. In this paper, we have analyzed, in different ways, in time domain and also in frequency domain, the phase shift between output voltages of each pair of coupled oscillators and also, the behavior of multiple coupled oscillators

RLC - Circuit Oscillator

to determine the resonance frequency of an RLC circuit by varying the source, measuring the response (current), and applying logic and theory in analysis of data.

Dynamics in an Undamped Series RLC Circuit

A two dimensional model of Series RLC circuit is considered for discussion. The system possess only the trivial equilibrium point and local stability conditions are obtained. The phase portraits are obtained for suitable parameter values. Oscillations and damping effects are illustrated with numerical examples.

Series RLC Resonant Circuit Used as Frequency Multiplier

Energies

Currently, the design of resonant power converters has only been developed while operating in the steady state, while the design operating in the transient stage has not been considered nor reported. This paper is interested in testing the performance of the resonant circuits operating in the transient stage and finding applications where benefits can be obtained from this form of operation. One application in which it is possible to obtain benefits from designing resonant circuits in the transient state is in the area of frequency multiplication. Usually, to achieve frequency multiplication, it is necessary to resort to complex methods and special devices that increase the complexity of the design and the total cost of the circuit. This paper evaluates the performance of a series RLC resonant circuit operating in the transient stage and with an underdamped response acting as a frequency multiplier, where the oscillation frequency of the current in the resonant tank is “n” number of...

Analysis of a Nonlinear Series RLC Circuit

1981

an inductor, a capacitor and a c ouple of zenner diodes in series is studied in the framework of Convex Analysis. The differential inequalitygoverning the circuit is shown to yield a unique stable solution which can be calculated through standard schemes. Numerical results are shown to agree with experiments. O problema da resposta de um circuito eletrico, consistindo de uma resistencia, uma bobina, um condensador e um par de diodos zenner em serie, e estudado dentro do formalismo da Analise Convexa. Mostra-se que a inequecao diferencial que governa o circuito possui uma solucao estavel que pode ser calculada atraves de algarismos usuais. Apresenta-se tambem o resultado de uma simulacao digital do circuito, baseada em um algarismo tipo preditor - corretor, e compara-se este com medicoes tomadas em laboratorio.