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ANN Optimised RPWM Technique for Minimisation of Conducted EMI in Three-Phase Voltage Source Inverters Cover

ANN Optimised RPWM Technique for Minimisation of Conducted EMI in Three-Phase Voltage Source Inverters

Open Access
|Dec 2025

Figures & Tables

Figure 1.

Modulating principle of RPWM. RPWM, random pulse width modulation.
Modulating principle of RPWM. RPWM, random pulse width modulation.

Figure 2.

ANN architecture. ANN, artificial neural network.
ANN architecture. ANN, artificial neural network.

Figure 3.

Output regression line after training.
Output regression line after training.

Figure 4.

MSE output curve after training. MSE, mean squared error.
MSE output curve after training. MSE, mean squared error.

Figure 5.

Single line diagram of LC low pass filter.
Single line diagram of LC low pass filter.

Figure 6.

Block diagram of the proposed method. ANN, artificial neural network.
Block diagram of the proposed method. ANN, artificial neural network.

Figure 7.

Switching pulse generation for FCSM. FCSM, fixed carrier signal modulated.
Switching pulse generation for FCSM. FCSM, fixed carrier signal modulated.

Figure 8.

Pulse generation for the FCSM strategy on one leg of three phase inverter. FCSM, fixed carrier signal modulated.
Pulse generation for the FCSM strategy on one leg of three phase inverter. FCSM, fixed carrier signal modulated.

Figure 9.

Switching pulse generation for DRPWM. DRPWM, dual random pulse width modulated.
Switching pulse generation for DRPWM. DRPWM, dual random pulse width modulated.

Figure 10.

Pulse generation for the DRPWM strategy on one leg of three phase inverter. DRPWM, dual random pulse width modulated.
Pulse generation for the DRPWM strategy on one leg of three phase inverter. DRPWM, dual random pulse width modulated.

Figure 11.

Diagram of the three-phase VSI. VSI, voltage source inverter.
Diagram of the three-phase VSI. VSI, voltage source inverter.

Figure 12.

Pulse generation for ANN incorporated. ANN, artificial neural network.
Pulse generation for ANN incorporated. ANN, artificial neural network.

Figure 13.

Pulse generation for the proposed strategy on one leg of three-phase inverter. ANN, artificial neural network; DRPWM, dual random pulse width modulated.
Pulse generation for the proposed strategy on one leg of three-phase inverter. ANN, artificial neural network; DRPWM, dual random pulse width modulated.

Figure 14.

Output voltage waveform with and without an LC filter for FCSM. FCSM, fixed carrier signal modulated.
Output voltage waveform with and without an LC filter for FCSM. FCSM, fixed carrier signal modulated.

Figure 15.

Output voltage waveform with and without LC filter for DRPWM. DRPWM, dual random pulse width modulated.
Output voltage waveform with and without LC filter for DRPWM. DRPWM, dual random pulse width modulated.

Figure 16.

Output voltage waveforms before and after the LC filter for the proposed method.
Output voltage waveforms before and after the LC filter for the proposed method.

Figure 17.

Output voltage PSD of FCSM. FCSM, fixed carrier signal modulated; PSD, power spectral density.
Output voltage PSD of FCSM. FCSM, fixed carrier signal modulated; PSD, power spectral density.

Figure 18.

Output voltage PSD of DRPWM. DRPWM, dual random pulse width modulated; PSD, power spectral density.
Output voltage PSD of DRPWM. DRPWM, dual random pulse width modulated; PSD, power spectral density.

Figure 19.

Output voltage PSD of the proposed method. PSD, power spectral density.
Output voltage PSD of the proposed method. PSD, power spectral density.

Figure 20.

THD content of the FCSM. (a) Before and (b) after the LC filter. FCSM, fixed carrier signal modulated; THD, total harmonic distortion.
THD content of the FCSM. (a) Before and (b) after the LC filter. FCSM, fixed carrier signal modulated; THD, total harmonic distortion.

Figure 21.

THD content of the DRPWM (a). Before and (b). After the LC filter. DRPWM, dual random pulse width modulated; THD, total harmonic distortion.
THD content of the DRPWM (a). Before and (b). After the LC filter. DRPWM, dual random pulse width modulated; THD, total harmonic distortion.

Figure 22.

THD content of the proposed method. (a) Before and (b) After the LC filter. THD, total harmonic distortion.
THD content of the proposed method. (a) Before and (b) After the LC filter. THD, total harmonic distortion.

ANN training parameters_

ParametersValues
Network typeFeedforward/backpropagation
Learning algorithmTrainlm
Epochs1,000
Convergence limit (Goal)1e−12
Hidden layers10
Input layers4
Output layers3

Summary of THD content levels (%)_

SystemTHD before filter (%)THD after LC filter (%)
FCSM43.717.60
DRPWM42.837.40
Proposed method35.592.17

Techno-economic comparison between conventional RPWM and proposed ANN-RPWM controller_

Cost componentConventional RPWM systemProposed ANN–RPWM systemRemarks/assumptions
DSP/microcontrollerIncludedSameNo additional processor required
Power semiconductors (IGBTs/drivers)6 IGBTs + 3 driversSameUnchanged hardware configuration
Sensors/feedback circuits3 V, 3 current sensorsSameNo modification needed
Software/algorithmic overheadBaseline PWM control+3% additional CPU loadANN inference executed on the same DSP
Development/training effortN/AOne-time offline trainingConducted using MATLAB on PC
Filter components (L, C)LC filterSameIdentical filter design used
Implementation/maintenanceStandardStandardNo extra calibration required

Estimated total cost impact100%≈101%<1% incremental difference

Summary of harmonics and their relative magnitudes_

Harmonic orderFCSM (dB)DRPWM (dB)ANN-RPWM (dB)Reduction vs. DRPWM (%)
5−36−40−4643
7−38−42−4737
11−40−43−4835
13−42−44−4935
DOI: https://doi.org/10.2478/pead-2025-0028 | Journal eISSN: 2543-4292 | Journal ISSN: 2451-0262
Language: English
Page range: 406 - 423
Submitted on: Sep 10, 2025
Accepted on: Nov 13, 2025
Published on: Dec 16, 2025
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2025 Abdul Mumin Halidu, Solomon Nunoo, Joseph Cudjoe Attachie, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.