Rectifier6pulseFFT

Example of FFT block

Diagram

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This example is based on a 6-pulse rectifier example, calculating the harmonics with the FFT block.

Sampling starts after the initial transients are settled - waiting for 2 periods = 2/f = 0.04 s = realFFT.startTime. Choosing a maximum frequency f_max = 2000 Hz, a frequency resolution f_res = 5 Hz (both given in the block realFFT) and the default oversampling factor f_max_factor = 5, we have to acquire n = 2*f_max/f_res*f_max_factor = 4000 sampling intervals. The resulting sampling interval is samplePeriod = 1/(n*f_res) = 0.05 ms. Thus, we have to sample for a period of n*samplePeriod = 1/f_res = 0.2 s.

The result file "rectifier6pulseFFTresult.mat" can be used to plot amplitudes versus frequencies. Note that for each frequency three rows exit: one with amplitude zero, one with the calculated amplitude, one with amplitude zero. Thus, the second column (amplitude) can be easily plotted versus the first column (frequency). As expected, one can see the 5th, 7th, 11th, 13th, 17th, 19th, 23th, 25th, … harmonic in the result.

Parameters (6)

V

Value: 100 * sqrt(2 / 3)

Type: Voltage (V)

Description: Amplitude of star-voltage

f

Value: 50

Type: Frequency (Hz)

Description: Frequency

RL

Value: 0.4

Type: Resistance (Ω)

Description: Load resistance

C

Value: 0.005

Type: Capacitance (F)

Description: Total DC-capacitance

VC0

Value: sqrt(3) * V

Type: Voltage (V)

Description: Initial voltage of capacitance

transformerData1

Value:

Type: TransformerData

Description: Data of transformer 1

Components (15)

source

Type: SineVoltage

starAC

Type: Star

groundAC

Type: Ground

currentSensor

Type: CurrentSensor

diode1

Type: IdealDiode

star1

Type: Star

diode2

Type: IdealDiode

star2

Type: Star

load

Type: Resistor

cDC1

Type: Capacitor

cDC2

Type: Capacitor

groundDC

Type: Ground

transformerData1

Type: TransformerData

Description: Data of transformer 1

transformer1

Type: Dy01

realFFT

Type: RealFFT