Electric circuits 1 natural and step responses of rlc circuits qi xuan zhejiang university of technology nov 2015. To analyze other standard circuit configurations such as lowpass and highpass rlc networks, click on the link below to launch an interactive gui. We solve for the total response as the sum of the forced and natural response. As you can see the components used are a resistor, an inductor and a capacitor connected in series. This is when the voltage source is taken out from the circuit.
The method used to plot any voltage or current versus time in a second order circuit is the same as that used for a first order circuit. Rlc circuit response and analysis using state space method. The performances of a transfer function characteristic of rlccircuit is investigated and modeled in this paper. Simulation times printed out on the screen are ms not us, sorry for my mistake. Chapter 8 natural and step responses of rlc circuits 8. Modeling of transfer function characteristic of rlccircuit. A state space representation and a transfer function designating for a rlc circuit. Step response parallel rlc intro bit driven circuits. Step response of an rlc circuit ece 2100 circuit analysis laboratory updated 20 november 2019 prelaboratory assignment consider the circuit of figure 1. The product lc controls the bandpass frequency while rc controls how narrow the passing band is. The purpose of this matlab example is to explore the effects of varying the resistance value in the underdamped parallel rlc circuit analyzed in example 9. State space representation of rlc circuit example 1. Chapter 7 response of firstorder rl and rc circuits.
In this gui, you can change the r,l,c parameters and see the effect on the time and frequency responses in real time. The bode plot is a convenient tool for investigating the bandpass characteristics of the rlc network. To run the program, at the matlab prompt type rlcresponse. Assume that for the charging rc circuit above vs 10 volts and c 10 microfarads. The transfer function from input to output voltage is. In matlab, solving the circuits using general solution method. Natural response parallel rlc circuits natural response series rlc circuits step response of parallel and series rlc circuits. Control tutorials for matlab and simulink introduction. Transient response of series rlc step response of series rlc circuit in matlabsimulink. Chapter 4 transients stepbystep solution circuits containing a resistance, a source, and an inductance or a capacitance. Rc step response setup 1 of 3 this is the currently selected item. If youre seeing this message, it means were having trouble loading external resources on our website.
Here you will use the solver ode45, which is based on a variable step rungekutta method. Transient response of series rlc step response of series. The input voltage is between start and end terminals of the circuit and it represents the input signal. The following figure shows the parallel form of a bandpass rlc circuit.
Natural response of parallel rlc circuits the problem given initial energy stored in the. Whenever we want to plot a voltage or current as a function time, the. Today i am going to make a brief description of the step response of a rlc series circuit. Rlc circuit impulse response matlab answers matlab central. Modeling and simulation in matlab simulink \any fool can use a computer. Difference between the natural response and transient. Pdf modeling of transfer function characteristic of rlc.
The ever increasing demand for electronics has led to the continuous search for the. The time response represents how the state of a dynamic system changes in time when subjected to a. Consider the natural response of the parallel rlc circuit shown in figure 9. Plot the voltage across the capacitor if r equals 5k ohm, 10k ohms and 20k ohms. Chapter 7 response of firstorder rl and rc circuits 7. Ive read a bit around it, but i cant get it to work. The resonant frequency here is defined as the frequency at which the amplitude of the impedance or the admittance of. Figure e51 a series rlc network in which the capacitor voltage is taken as the output. In this example we will plot the step response of the series rlc network shown in figure e51. Rlc circuit response and analysis using state space method mohazzab1 javed, hussain 1 aftab, muhammad qasim, mohsin1 sattar 1engineering department, pafkiet, karachi, sindh, pakistan abstractthis paper presents rlc circuit response and analysis, which is modeled using state space method. The assignment draws from chapters 610 of your text. This time we will take a look at rlc circuits, which contain both resistors, inductors and capacitors, and examine their natural response and step response. In the next page of this section we will work through an actual example and determine the complete response of a parallel rlc circuit. Abstract rlc circuit response and analysis is modelled using matlab.
We assume that the capacitor is completely discharged for t github. I have an rlc circuit, and i have to use the discrete analysis to plot its impulse response. A series rlc network in which the capacitor voltage is taken as the output. The initial conditions for this problem are both zero. Series rlc circuits are classed as secondorder circuits because they contain two energy storage elements, an inductance l and a capacitance c. A gui program for the natural and step response of parallel and series rlc circuits. Analyzing the response of an rlc circuit sonam parihar bipin tripathi kumaon institute of technology, dwarahat, almora, uttarakhand. Simulating second order circuits in pspice in this tutorial, we will provide an example of a simulation of a second order rlc circuit. Matlab supports many di erent numerical schemes for solving odes. This entry contains a graphical user interface program for the natural and step response of parallel and series rlc circuit. Im trying to plot the response of a series rlc circuit to a step function using matlab. To build a bandpass filter tuned to the frequency 1 rads, set lc1 and use r to tune the filter band analyzing the frequency response of the circuit.
This sampling period is close to the limit of what the io package can achieve running under the windows operating system, but is necessary to reconstruct this particular step response accurately. Example 2 rc transient plot use matlab to plot the capacitor voltage and current for the circuit shown in figure e21 below. Step response of an rlc circuit clemson university. We calculate the stability of system using bode plot method. Change the r values and check the change in result. In order to clearly capture the transient response of the circuit, we will choose our sampling time to be 0. This is usually a good choice for most nonsti 2 odes. Matlab and rlc analysis electrical engineering stack. In part 4 we looked at the natural response and step response of rl and rc circuits, which means circuits with resistors together with inductors and capacitors, respectively. Rlc circuit in simulinksimpowersystem the model file is downloadable here. The problem there is no initial energy stored in this circuit. Some other books talk about the transient response of an rlc circuit, which is the time it takes the circuit to reach to steady state.
Example 5 step response of rlc network in this example we will plot the step response of the series rlc network shown in figure e51. Be able to determine the responses both natural and transient of second order circuits with op amps. Lets assume a series rlc circuit as is shown in figure 1. As in the rc step response lab, this voltage source will be used to apply a voltage step to the rlc.
The following examples illustrate the use of matlab for solving problems related to rc circuits. In the last video we looked at this rc circuit and we gave it a step input with a step source, a step from v nought up to v s, with a. The rc step response is a fundamental behavior of all digital circuits. The voltage source vs and resistance rs comprise a circuit model of a function generator. To begin, find the initial conditions and the final value. The analysis of rlc circuits is more complex than of the rc circuits we have seen in the previous lab. The step response of a parallel rlc direct method 1. Rlc circuits have a much richer and interesting response than the previously studied rc or rl circuits.
Be able to determine the step responses of parallel and series rlc circuits 3. This project models an equivalentsimple rlc circuits parallel and calculates the step response and natural response voltagescurrents then plots them in matlab and simulink. Control tutorials for matlab and simulink timeresponse. Chapter 8 natural and step responses of rlc circuits. This calculator computes the resonant frequency and corresponding q factor of an rlc circuit with series or parallel topologies. The steps in determining the forced response for rlc circuits with dc sources are. Chapter 4 transients michigan technological university. Taking vc as the output and vs as the input we can write the transfer function as 1 1 s2 r l s lc lc vs vc.