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Data-Driven Optimisation Method for Tuning the HF Injection Parameters of an Extra Low Voltage Encoderless Synchronous Motor Drive Cover

Data-Driven Optimisation Method for Tuning the HF Injection Parameters of an Extra Low Voltage Encoderless Synchronous Motor Drive

Power Electronics and Drives
Volume 10 (2025): Issue 1 (January 2025)
By: Hadj Ahmed Belghazali,  Najla Haje Obeid,  Eric Monmasson,  Ngoc-Tu Trinh and  Lahoucine Id-khajine  
Open Access
|Oct 2025

Figures & Tables

Figure 1.

Experimental test bench.
Experimental test bench.

Figure 2.

Global diagram of the position estimation and current control loops. PLL, phase-locked loop.(BPF: band-pass filter, HPF: high-pass filter, LPF: low-pass filter, PI: proportional and integral controller, PWM: pulse width modulation).
Global diagram of the position estimation and current control loops. PLL, phase-locked loop.(BPF: band-pass filter, HPF: high-pass filter, LPF: low-pass filter, PI: proportional and integral controller, PWM: pulse width modulation).

Figure 3.

PLL position and speed observer. PLL, phase-locked loop.
PLL position and speed observer. PLL, phase-locked loop.

Figure 4.

Experimental protocol for database acquisition.
Experimental protocol for database acquisition.

Figure 5.

HF injection voltage optimisation flowchart. HF, high-frequency.
HF injection voltage optimisation flowchart. HF, high-frequency.

Figure 6.

Variation of the variance of the estimated position error as a function of Vh and IAbs.
Variation of the variance of the estimated position error as a function of Vh and IAbs.

Figure 7.

Variation of the mean error value as a function of Vh and IAbs.
Variation of the mean error value as a function of Vh and IAbs.

Figure 8.

Variation of the torque distortion rate as a function of Vh and IAbs.
Variation of the torque distortion rate as a function of Vh and IAbs.

Figure 9.

Variation of the additional DC losses as a function of Vh and IAbs.
Variation of the additional DC losses as a function of Vh and IAbs.

Figure 10.

Example of VhOpti calculation at 100 rpm.
Example of VhOpti calculation at 100 rpm.

Figure 11.

VhOpti calculated with S1 scenario (wq1 = wc1 = 1 and wq2 = wc2 = 0).
VhOpti calculated with S1 scenario (wq1 = wc1 = 1 and wq2 = wc2 = 0).

Figure 12.

VhOpti calculated with S2 scenario (wq1 = wc1 = wq2 = 1 and = wc2 = 0).
VhOpti calculated with S2 scenario (wq1 = wc1 = wq2 = 1 and = wc2 = 0).

Figure 13.

HF injection voltage amplitude for different scenarios. HF, high-frequency.
HF injection voltage amplitude for different scenarios. HF, high-frequency.

Figure 14.

Experimental implementation of VhOpti using LUT. LUT, look-up table.
Experimental implementation of VhOpti using LUT. LUT, look-up table.

Figure 15.

Experimental studied profile: (a) estimated and measured mechanical speed, (b) idq currents, (c) VhOpti, (d) θerr at 100 rpm.
Experimental studied profile: (a) estimated and measured mechanical speed, (b) idq currents, (c) VhOpti, (d) θerr at 100 rpm.

Figure 16.

Experimental studied profile: (a) estimated and measured mechanical speed, (b) idq currents, (c) VhOpti and (d) θerr at 100 A.
Experimental studied profile: (a) estimated and measured mechanical speed, (b) idq currents, (c) VhOpti and (d) θerr at 100 A.

Figure 17.

Impact of Vh and IAbs on the variation of variance of varθerr at 100 rpm.
Impact of Vh and IAbs on the variation of variance of varθerr at 100 rpm.

Figure 18.

Impact of Vh and IAbs on the variation of ⟨θerr⟩ at 100 rpm.
Impact of Vh and IAbs on the variation of ⟨θerr⟩ at 100 rpm.

Figure 19.

Impact of Vh and IAbs on the variation of ΔTHF (%) at 100 rpm.
Impact of Vh and IAbs on the variation of ΔTHF (%) at 100 rpm.

Figure 20.

Impact of Vh and N on the variation of varθerr100 A.
Impact of Vh and N on the variation of varθerr100 A.

Figure 21.

Impact of Vh and N on the variation ⟨θerr⟩ at 100 A.
Impact of Vh and N on the variation ⟨θerr⟩ at 100 A.

Figure 22.

Impact of Vh and N on the variation of ΔTHF (%) at 100 A.
Impact of Vh and N on the variation of ΔTHF (%) at 100 A.

PMSynRel characteristics

ParametersValues
Maximum speed8,000 rpm
Maximum torque10 N.m
Maximum current120 A
Stator phase resistance0.0021 Ω
Permanent magnet flux5.3 mWb
Pole pairs number8
Ld18 μH
Lq25 μH
Ldq (neglected since ≪ Ld and Lq)0.08 μH
DOI: https://doi.org/10.2478/pead-2025-0022 | Journal eISSN: 2543-4292 | Journal ISSN: 2451-0262
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Language: English
Page range: 307 - 324
Submitted on: Jul 10, 2025
|
Accepted on: Sep 17, 2025
|
Published on: Oct 15, 2025
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
low speed encoderless control,
extra low voltage machine,
pulsating carrier signal injection,
HF injection,
voltage injection optimisation
Related subjects:
Computer sciences,
Artificial intelligence,
Engineering,
Electrical engineering,
Electronics

© 2025 Hadj Ahmed Belghazali, Najla Haje Obeid, Eric Monmasson, Ngoc-Tu Trinh, Lahoucine Id-khajine, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.

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