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Peer-Review Record

Fast Driving Cycle Efficiency Optimization of Interior Permanent Magnet Synchronous Machines Considering PWM-Induced Harmonic Losses

Machines 2026, 14(6), 599; https://doi.org/10.3390/machines14060599
by Runqing Ni *, Chengxin Zhong and Sa Zhu
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Machines 2026, 14(6), 599; https://doi.org/10.3390/machines14060599
Submission received: 18 April 2026 / Revised: 18 May 2026 / Accepted: 20 May 2026 / Published: 27 May 2026
(This article belongs to the Section Electrical Machines and Drives)

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

  1. In the Abstract, the authors propose incorporating PWM-induced harmonic losses into driving-cycle efficiency optimization, but the influence of these losses on the total loss and optimization results is not explained, making the research motivation insufficiently clear. The Abstract emphasizes the use of a rapid calculation method, while also stating that the computational time increases by 17 h; the reference basis for “rapid” should be clarified. The Abstract should also provide a more direct comparison before and after optimization. In addition, “THEFEA” seems to be “THFEA”; the abbreviation should be checked and unified.
  2. In the Introduction, the paragraph discussing computational time contains confusing reference numbers and unclear logic. This paragraph should be rewritten, and it should be clarified whether the comparison of different computational times is based on the same computing platform.
  3. The titles of Sections 2.1 and 2.2 are identical, and some contents are repeated. The main text states that the prototype is a 48-slot 8-pole IPMSM, whereas the “Number of poles” in Table 3 is 4. The authors should check and unify the relevant descriptions.
  4. The manuscript assumes that the motor produces no torque when the vehicle is stationary or decelerating, which is equivalent to neglecting regenerative braking. This treatment may affect the distribution of representative points, the weight factors, and the weighted loss evaluation. The authors should explain the rationality of this assumption and its influence on the optimization results.
  5. In Section 3, Lines 180–182 repeat previous content and should be deleted. In Line 205, “two structures” should be changed to “three structures”. In Line 214, “5id×5id” should be changed to “5id×5iq”. The authors should check and revise the relevant descriptions.
  6. The description of Figure 8 in the main text is inconsistent with its caption. The data in Table 10 are inconsistent with the corresponding explanation in the main text. The authors should revise these issues and check whether similar inconsistencies among figures, tables, data, and textual descriptions exist throughout the manuscript.
  7. The PWM-induced harmonic loss coefficients are extracted only at one weighted operating condition and the initial rotor position, and then used throughout the whole optimization process. The authors should explain the influence of this simplification on the Pareto ranking and the selection of the final optimized structure.

Author Response

Comments 1: In the Abstract, the authors propose incorporating PWM-induced harmonic losses into driving-cycle efficiency optimization, but the influence of these losses on the total loss and optimization results is not explained, making the research motivation insufficiently clear. The Abstract emphasizes the use of a rapid calculation method, while also stating that the computational time increases by 17 h; the reference basis for “rapid” should be clarified. The Abstract should also provide a more direct comparison before and after optimization. In addition, “THEFEA” seems to be “THFEA”; the abbreviation should be checked and unified.

Response 1: This paper compares two optimization methods: one considering PWM harmonic losses and the other without considering them. The comparison demonstrates that the results obtained when considering PWM harmonic losses are superior to those of the method without considering them. Meanwhile, the rapid calculation method is primarily reflected in the loss calculation; for instance, the use of CEFEM for calculating iron losses reduces the computation time to 1/6 of the original. The abbreviation “THFEA” has been revised and unified.Thank you for pointing this out.

 

Comments 2: In the Introduction, the paragraph discussing computational time contains confusing reference numbers and unclear logic. This paragraph should be rewritten, and it should be clarified whether the comparison of different computational times is based on the same computing platform.

Response 2: The paragraph discussing computational time has been rewritten, and it has been clarified that the comparison is based on the same computing platform.

 

Comments 3: The titles of Sections 2.1 and 2.2 are identical, and some contents are repeated. The main text states that the prototype is a 48-slot 8-pole IPMSM, whereas the “Number of poles” in Table 3 is 4. The authors should check and unify the relevant descriptions.

Response 3: Agree. The title of Section 2.2 has been modified, and the repeated content in the text has been deleted. The descriptions of the number of poles in the figures and tables have been revised, and they are now unified as the “number of poles”.

 

Comments 4: The manuscript assumes that the motor produces no torque when the vehicle is stationary or decelerating, which is equivalent to neglecting regenerative braking. This treatment may affect the distribution of representative points, the weight factors, and the weighted loss evaluation. The authors should explain the rationality of this assumption and its influence on the optimization results.

 

Response 4: Agree. To simplify the calculation, this paper assumes that the motor produces no torque (i.e., the torque is zero) when the vehicle is stationary or decelerating. Furthermore, during the braking phase, it is considered that the vehicle’s braking system is in operation; therefore, the influence of the vehicle’s regenerative braking system is not considered.

 

 

Comments 5: In Section 3, Lines 180–182 repeat previous content and should be deleted. In Line 205, “two structures” should be changed to “three structures”. In Line 214, “5id×5id” should be changed to “5id×5iq”. The authors should check and revise the relevant descriptions.

 

Response 5: Agree. The relevant descriptions have been revised and checked.

 

 

Comments 6: The description of Figure 8 in the main text is inconsistent with its caption. The data in Table 10 are inconsistent with the corresponding explanation in the main text. The authors should revise these issues and check whether similar inconsistencies among figures, tables, data, and textual descriptions exist throughout the manuscript.

 

Response 6: Agree. The positions of (a) and (b) in Figure 8 have been swapped.

 

 

Comments 7: The PWM-induced harmonic loss coefficients are extracted only at one weighted operating condition and the initial rotor position, and then used throughout the whole optimization process. The authors should explain the influence of this simplification on the Pareto ranking and the selection of the final optimized structure.

Response 7: Agree. Regarding the PWM losses obtained through the simplified calculation, this simplification was applied to separately calculate the losses and errors at the nine representative points. The results fall within the allowable error range, as shown in Table 9.

 

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

This manuscript addresses a relevant problem in EV traction motor design: how to include PWM-induced harmonic losses in drive-cycle-based IPMSM efficiency optimization without making the optimization computationally heavy. The paper uses K-means representative operating points and small-signal THFEA-based fast calculation of PWM-induced harmonic losses. The topic is significant because PWM harmonic losses can be non-negligible in EV operation, and conventional PWM transient FEA is too expensive for iterative design optimization.

The contribution is useful but incremental. The individual components of the workflow are largely established in the literature; the main added value is their integration into a multi-objective cost/loss optimization and the demonstration that neglecting PWM-induced losses can select a different and inferior design. The comparison between Structure A and Structure B supports the central conclusion.
Reference list, Tables and Figures are generally useful, however, considering the comments below:

1. References 14 and 26 are not cited in the text.
2. Please check number of poles in the text and Table 3, whether it is 4 or 8.
3. Fig. 8 a legend typo.
4. The sentence in lines 403–405 says Structure B has larger Pand total losses, but Table 10 shows Structure B has smaller PWM and total losses. Please check.
5. There are many repetitive fragments: Lines 117–121 and 128–132; 2.1 and 2.2 heading; 163-166 and 180-182; 424-429 and 434-438.
6. Please check the total loss claim: 3.11% or 3.0% as it is different in the abstract and conclusion.

 



Author Response

Comments 1: References 14 and 26 are not cited in the text.

Response 1: Reference [14] has been re-cited, and Reference [26] has been deleted.

 

Comments 2: Please check number of poles in the text and Table 3, whether it is 4 or 8.

Response 2: The descriptions of the number of poles in the figures and tables have been revised, and they are now unified as the “number of poles”.

 

Comments 3: Fig. 8 a legend typo.

Response 3: Agree. The issue in Figure 8 has been corrected.

 

Comments 4: The sentence in lines 403–405 says Structure B has larger PWM​ and total losses, but Table 10 shows Structure B has smaller PWM​ and total losses. Please check.

Response 4: Agree. “Structure B” has been corrected to “Structure A”.

 

Comments 5: There are many repetitive fragments: Lines 117–121 and 128–132; 2.1 and 2.2 heading; 163-166 and 180-182; 424-429 and 434-438.

Response 5: Agree. The repeated paragraphs have been deleted, and the headings have been modified.

 

Comments 6: Please check the total loss claim: 3.11% or 3.0% as it is different in the abstract and conclusion.

Response 6: Agree. The total loss reduction has been revised to 3.11%.

 

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

Comments and Suggestions for Authors

The authors have adequately addressed all of my comments, and the manuscript has been carefully revised.

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