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dSPACE-based dual randomized pulse width modulation for acoustic noise mitigation in induction motor

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Abstract

The randomized pulse width modulation (RPWM) technique has gained an increasing interest as an effective method to reduce electromagnetic interference and acoustic noise in electrical drives. This modulation technique involves three schemes, two simple schemes (one random parameter): randomized pulse position modulation (RPPM) and randomized carrier frequency modulation (RCFM), and a dual scheme combining the two previous ones (RCFM-RPPM or dual RPWM: DRPWM). This paper proposes an online implementation of the DRPWM scheme based on the dSPACE DS1104 platform for the control of a voltage source inverter (VSI) fed induction motor. The main aims are (1) to prove the feasibility of the practical implementation of the proposed RPWM schemes and (2) to show the effectiveness of the DRPWM scheme in spreading the spectrum of voltage, current and acoustic noise in an induction motor drive. Analytical and simulation results show that DRPWM is the most effective in spreading the spectrum. The experimental results confirm the analytical and simulation results and prove the effectiveness of the DRPWM scheme in reducing acoustic noise compared to simple schemes (RPPM and RCFM).

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Author information

Authors and Affiliations

  1. Laboratoire Ingénierie Des Systèmes Et Télécommunications (LIST), University M’Hamed Bougara, Avenue de l’indépendance, 35000, Boumerdes, Algeria

    Aimad Boudouda

  2. Laboratory of Renewable Energy (LER), University of Jijel, B.P.98 Ouled Aissa, 18000, Jijel, Algeria

    Nasserdine Boudjerda

  3. Laboratory of Applied Automation (LAA), University M’Hamed Bougara, Avenue de l’indépendance, 35000, Boumerdes, Algeria

    Abderrezak Aibeche

Authors
  1. Aimad Boudouda
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  2. Nasserdine Boudjerda
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  3. Abderrezak Aibeche
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Correspondence to Aimad Boudouda.

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Technical Editor: Jarir Mahfoud.

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Appendices

Appendix A: pwelch function

The settings of the pwelch function used in this study are given in Table 4.

According to the Nyquist sampling theorem, the sampling frequency Fs should be at least equal to twice the maximum frequency of the considered signal (\(Fs \ge 2f_{\max }\)). In our work, the PSD of voltage, current, and acoustic noise are performed on a frequency range of fmax = 19.230 kHz (which is practically the maximum frequency of sounds audible to the human ear). According to the Nyquist sampling theorem, (\(Fs \ge 2f_{\max }\)), thus:

$${\text{Fs}} = 2f_{\max } = 2 \times 19.230 = 38.460\;{\text{kHz}}{.}$$

For a record time ΔT = 0.6 s, the number of sampled points is:

$$N = {\text{Fs}} \times \Delta T = 38460 \times 0.6 = 23076$$

Using NFFT = 10,000 (NFFT: The number of discrete FFT samples used to calculate the estimated PSD), we obtain the following resolution frequency:

$$\Delta f = \frac{{{\text{Fs}}}}{{{\text{NFFT}}}} = 3.846{\text{ Hz}}{.}$$

For a hamming window (used in the Welch method), the effective resolution bandwidth (RBW) is:

$${\text{RBW}} = 1.3626 \times \Delta f = 1.3626 \times 3.846 = 5.24{\text{ Hz}}{.}$$

This frequency resolution is 7.6 times smaller than the frequency separation between two adjacent harmonics spaced 40 Hz apart, which is enough for the analysis of low- and high-frequency harmonics.

Appendix B: Induction motor ratings

The motor ratings are given in Table 5.

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Boudouda, A., Boudjerda, N. & Aibeche, A. dSPACE-based dual randomized pulse width modulation for acoustic noise mitigation in induction motor. J Braz. Soc. Mech. Sci. Eng. 44, 493 (2022). https://doi.org/10.1007/s40430-022-03814-2

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