How to use Fourier filter

Model Signal Analysis

In order to simulate and analyze the operation of the Fourier filter, it is necessary to set the parameters of the simulating signals in the emergency and pre-emergency modes.

The pre-emergency mode is modeled by a sinusoidal signal, and the emergency mode is modeled by a sinusoidal signal and an exponent.

To simulate the pre-emergency mode, it is necessary to set its duration, module, initial phase and frequency of sinusoidal signal (Fig. 1).

Setting the pre-emergency mode for the Fourier filter
Fig. 1. Setting of the pre-emergency mode

To simulate the emergency mode, it is necessary to set its duration, module, initial phase and frequency of sinusoidal signal, as well as the attenuation coefficient of the exponent (Fig. 2). The exponent module is calculated automatically to ensure signal continuity.

Setting emergency mode parameters for the Fourier filter
Fig. 2. Setting of the emergency mode

In addition, you must set the frequency at which the Fourier filter is configured, and the sampling frequency of the input signal (Fig. 3).

Setting the Fourier filter
Fig. 3. Setting of the Fourier filter

After setting all the parameters, click the “Calculate” button, after which the output signal of the Fourier filter will be calculated. As a result, the program will form 2 graphics. The first graph displays the original signal and its amplitude value (Fig. 4). The second graph shows the phase of the original signal (Fig. 5).

The signal and the result after the Fourier filter (module amplitude of the signal)
Fig. 4. The input signal and its amplitude value obtained after the Fourier filter

Result after Fourier filter (signal phase)
Fig. 5. The phase of the input signal obtained after the Fourier filter

Analysis signals from oscillogram

To analyze an any signal from an oscillogram with Fourier filter, select the signal source “Oscillogram” and press the “Select” button. Then you need to download 2 oscillogram files with the extension *.CFG and *.DAT recorded in the COMTRADE 1991 or COMTRADE 1999 format, and click the “Next” button.

Then you need to select the desired signal from the list generated automatically by the program from the CFG-file and set the network frequency. The signal sampling frequency will be determined automatically from the CFG-file (Fig. 6). Click the “Calculate” button.

Selection of Fourier filter parameters Fourier filter online for waveform for relay protection
Fig. 6. Signal selection from the oscillogram

2 graphs will be displayed on the screen (Fig. 7), containing the results of calculating the output signal of the Fourier filter. The first graph displays the signal in question and its amplitude value. The second graph shows the phase of the original signal.

Fourier filter results from waveforms Fourier filter online for relay protection
Fig. 7. The results obtained after filtering the Fourier signal from the oscillogram

Analysis tools

For each chart, analysis tools are available: increase / decrease the chart, display instantaneous values, move around the chart. The results can be exported to a picture in png format.