Series RLC Branch
Implement series RLC branch
Library
Simscape / Electrical / Specialized Power Systems / Fundamental Blocks / Elements
Description
The Series RLC Branch block implements a single resistor, inductor, or capacitor, or a series combination of these. Use the Branch type parameter to select elements you want to include in the branch.
Negative values are allowed for resistance, inductance, and capacitance.
Parameters
- Branch type
Select the elements you want to include in the branch. The R letter defines the resistor, the L letter defines the inductor, and the C letter defines the capacitor. Select Open circuit to define an open circuit (R=0, L=0, C=inf). Only existing elements are displayed in the block icon. Default is
RLC.- Resistance
The branch resistance, in ohms (Ω). Default is
1. The Resistance parameter is not visible if the resistor element is not specified in the Branch type parameter.- Inductance
The branch inductance, in henries (H). Default is
1e-3. The Inductance parameter is not visible if the inductor element is not specified in the Branch type parameter.- Set the initial inductor current
If selected, the initial inductor current is defined by the Inductor initial current parameter. If cleared, the software calculates the initial inductor current in order to start the simulation steady-state. Default is cleared.
The Set the initial inductor current parameter is not visible and has no effect on the block if the inductor element is not specified in the Branch type parameter.
- Inductor initial current (A)
The initial inductor current used at the start of the simulation. This parameter is not visible and has no effect on the block if the inductor is not modeled and if the Set the initial inductor current parameter is not selected. Default is
0.- Capacitance
The branch capacitance, in farads (F). Default is
1e-6. The Capacitance parameter is not visible if the capacitance element is not specified in the Branch type parameter.- Set the initial capacitor voltage
If selected, the initial capacitor voltage is defined by the Capacitor initial voltage parameter. If cleared, the software calculates the initial capacitor voltage in order to start the simulation in steady-state. Default is cleared.
The Set the initial capacitor voltage parameter is not visible and has no effect on the block if the capacitor element is not specified in the Branch type parameter.
- Capacitor initial voltage (V)
The initial capacitor voltage used at the start of the simulation. The Capacitor initial voltage parameter is not visible and has no effect on the block if the capacitor is not modeled and if the Set the initial capacitor voltage parameter is not selected.
- Measurements
Select
Branch voltageto measure the voltage across the Series RLC Branch block terminals.Select
Branch currentto measure the current flowing through the Series RLC Branch block.Select
Branch voltage and currentto measure the voltage and the current of the Series RLC Branch block.Default is
None.Place a Multimeter block in your model to display the selected measurements during the simulation. In the Available Measurements list box of the Multimeter block, the measurement is identified by a label followed by the block name.
Measurement
Label
Branch voltage
Ub:Branch current
Ib:
Examples
Obtain the frequency response of a fifth-harmonic filter (tuned frequency = 300 Hz)
connected on a 60 Hz power system. This example is available in the power_seriesbranch
model.
The network impedance in the Laplace domain is
To obtain the frequency response of the impedance you have to get the state-space model (A B C D matrices) of the system.
This system is a one-input (Vsource) and one-output (Current Measurement block) system.
Note
If you have Control System Toolbox™ software installed, you can use the bode function to get the
transfer function Z(s) from the state-space matrices as follows:
[A,B,C,D] = power_analyze('power_seriesbranch');
freq = logspace(1,4,500);
w = 2*pi*freq;
[Ymag,Yphase] = bode(A,B,C,D,1,w);
% invert Y(s) to get Z(s)
Zmag = 1./Ymag;
Zphase = -Yphase;
subplot(2,1,1)
loglog(freq,Zmag)
grid
title('5th harmonic filter')
xlabel('Frequency, Hz')
ylabel('Impedance Zmag')
subplot(2,1,2)
semilogx(freq,Zphase)
xlabel('Frequency, Hz')
ylabel('phase Z')
grid
You can also use the Impedance Measurement block and the Powergui block to plot the impedance as a function of frequency. In order to measure the impedance you must disconnect the voltage source.