Determination of the Harmonic Losses in an Induction Motor Fed by an Inverter


  • B. A. Nasir Department of Electrical Techniques, Northern Technical University, Iraq
Volume: 12 | Issue: 6 | Pages: 9536-9545 | December 2022 |


The advancement, development, improvement, and increased use of power electronic converters led to the efficient speed control of electrical drives. The most famous three-phase induction motor-related control to Pulse-Width Modulation (PWM) technique is used to operate multilevel inverters such as variable-frequency or six-step Voltage Source Inverter (VSI). Switching devices of the inverter are used in the drive systems and act as the main source of harmonics. When the induction motor is fed from the PWM inverter, it will be supplied by low order (5th, 7th, 11th) time harmonic voltage. The motor performance is affected by the presence of these time harmonic components because the additional losses generated in the motor defect its performance, generate pulsating torque, and reduce efficiency. In this work, the analysis of a dynamic model of an induction motor in transient and steady-state operation is developed, considering the effect of time-harmonic voltages generated by the inverter, skin effect, skew effect, temperature rise effect, iron core loss, stray load loss, and magnetic saturation on the motor performance. The performance of the motor is studied by the time-harmonic equivalent circuit and by the fundamental equivalent circuit. The motor performance in terms of efficiency and power factor is compared with the experimental results for both sinusoidal and VSI motor feeds in order to validate the model accuracy.


dynamic modeling, additional losses, 3-phase bridge inverter, 3-phase diode rectifier, harmonic equivalent circuit, PPL


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E. A. Klingshirn and H. E. Jordan, "Polyphase Induction Motor Performance and Losses on Nonsinusoidal Voltage Sources," IEEE Transactions on Power Apparatus and Systems, vol. PAS-87, no. 3, pp. 624–631, Mar. 1968. DOI:

B. J. Chalmers and B. R. Sarkar, "Induction-motor losses due to nonsinusoidal supply waveforms," Proceedings of the Institution of Electrical Engineers, vol. 115, no. 12, pp. 1777–1782, Dec. 1968. DOI:

H. Raphael, "Additional Losses in Pwm Inverter-Fed Squirrel Cage Motors," presented at the Conf Rec IAS 12th Annual Meeting, Los Angeles, CA, USA, Oct. 1977.

F. G. G. D. Buck, "Losses and Parasitic Torques in Electric Motors Subjected to PWM Waveforms," IEEE Transactions on Industry Applications, vol. IA-15, no. 1, pp. 47–53, Jan. 1979. DOI:

G. C. D. Sousa, B. K. Bose, J. Cleland, R. J. Spiegel, and P. J. Chappell, "Loss modeling of converter induction machine system for variable speed drive," in and Automation Proceedings of the 1992 International Conference on Industrial Electronics, Control, Instrumentation, Aug. 1992, pp. 114–120 vol.1.

K. Bradley, W. Cao, J. Clare, and P. Wheeler, "Predicting Inverter-Induced Harmonic Loss by Improved Harmonic Injection," IEEE Transactions on Power Electronics, vol. 23, no. 5, pp. 2619–2624, Sep. 2008. DOI:

A. Boglietti, A. Cavagnino, A. M. Knight, and Y. Zhan, "Factors Affecting Losses in Induction Motors with Non-Sinusoidal Supply," in 2007 IEEE Industry Applications Annual Meeting, Sep. 2007, pp. 1193–1199. DOI:

W. Cao, K. J. Bradley, H. Zhang, and I. French, "Experimental Uncertainty in Estimation of the Losses and Efficiency of Induction Motors," in Conference Record of the 2006 IEEE Industry Applications Conference Forty-First IAS Annual Meeting, Jul. 2006, vol. 1, pp. 441–447. DOI:

A. Vamvakari, A. Kandianis, A. Kladas, and S. Manias, "High fidelity equivalent circuit representation of induction motor determined by finite elements for electrical vehicle drive applications," IEEE Transactions on Magnetics, vol. 35, no. 3, pp. 1857–1860, May 1999. DOI:

Z. C. Papazacharopoulos, A. G. Kladas, and S. N. Manias, "Investigation of the switching frequency harmonics impact on PWM induction motor drive efficiency," in 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230), Jun. 2001, vol. 2, pp. 1203–1208.

Z. K. Papazacharopoulos, K. V. Tatis, A. G. Kladas, and S. N. Manias, "Dynamic model for harmonic induction motor analysis determined by finite elements," IEEE Transactions on Energy Conversion, vol. 19, no. 1, pp. 102–108, Mar. 2004. DOI:

T. C. Green, C. A. Hernández-Arámburo, and A. C. Smith, "Losses in grid and inverter supplied induction machine drives," IEE Proceedings - Electric Power Applications, vol. 150, no. 6, pp. 712–724, Nov. 2003. DOI:

J. M. D. Murphy and M. G. Egan, "A comparison of PWM strategies for inverter-fed induction motors," IEEE Transactions on Industry Applications, vol. 19, no. 3, pp. 363–369, May 1983. DOI:

F. C. Zach and H. Ertl, "Efficiency optimal control for AC drives with PWM inverters," IEEE Transactions on Industry Applications, vol. 21, no. 4, pp. 987–1000, Jul. 1985. DOI:

S. Chen and S.-N. Yeh, "Optimal efficiency analysis of induction motors fed by variable-voltage and variable-frequency source," IEEE Transactions on Energy Conversion, vol. 7, no. 3, pp. 537–543, Sep. 1992. DOI:

T. Kataoka, Y. Kandatsu, and T. Akasaka, "Measurement of equivalent circuit parameters of inverter fed induction motors," IEEE Transactions on Magnetics, vol. 23, no. 5, pp. 3014–3016, Sep. 1987. DOI:

M. Satheesh Kumar, P. Ramesh Babu, and S. Ramprasath, "Four Quadrant Operation of Direct Torque Control-SVPWM based three phase Induction Motor Drive in MATLAB/SIMULINK environment," in 2012 IEEE International Conference on Advanced Communication Control and Computing Technologies (ICACCCT), Dec. 2012, pp. 397–402. DOI:

R .Prejbeanu, "Methods to Reduce the Harmonics Generated in the Asynchronous Motor Fed by Power Converter," Annals of The University of Craiova, Series: Automation, Computers, Electronics and Mechatronics, vol. 11 (38), no. 1, pp. 45–50, 2014.

R. S. Kanchan and R. R. Moghaddam, "On accuracy of loss models including VSD induced additional harmonic losses for online energy efficient control of induction motor," in 2017 IEEE 12th International Conference on Power Electronics and Drive Systems (PEDS), Honolulu, HI, USA, Sep. 2017, pp. 1178-1183. DOI:

D. Uma and K. Vijayarekha, "Modeling and simulation of VSI fed induction motor drive in Matlab Simulink", International Journal of Electrical and Computer Engineering, vol. 7, no. 2, pp. 584-595, Apr. 2017, DOI:

S. Firdoush, S. Kriti, A. Raj, and S. K. Singh, "Reduction of Harmonics in Output Voltage of Inverter," International Journal of Engineering Research & Technology, vol. 4, no. 2, Apr. 2018.

U. B. Tayab and M. A. A. Humayun, "Modeling and Analysis of a Cascaded Battery-Boost Multilevel Inverter Using Different Switching Angle Arrangement Techniques," Engineering, Technology & Applied Science Research, vol. 7, no. 2, pp. 1450–1454, Apr. 2017. DOI:

V. T. Ha, P. T. Giang, and V. H. Phuong, "T-Type Multi-Inverter Application for Traction Motor Control," Engineering, Technology & Applied Science Research, vol. 12, no. 2, pp. 8321–8327, Apr. 2022. DOI:

D. A. Tuan, P. Vu, and N. V. Lien, "Design and Control of a Three-Phase T-Type Inverter using Reverse-Blocking IGBTs," Engineering, Technology & Applied Science Research, vol. 11, no. 1, pp. 6614–6619, Feb. 2021. DOI:

B. A. Nasir, "An Accurate Iron Core Loss Model in Equivalent Circuit of Induction Machines," Journal of Energy, vol. 2020, Feb. 2020, Art. no. 7613737. DOI:

B. A. Nasir, "Modeling of self-excited induction generator in synchronously rotating frame," International Journal of Electrical & Computer Sciences, vol. 20, no. 1, pp. 1–6, May 2020.

B. A. Nasir and R. W. Daoud, "Modeling of wind turbine-self excited induction generator system with pitch angle and excitation capacitance control," AIP Conference Proceedings, vol. 2307, no. 1, Dec. 2020, Art. no. 020022¸ DOI:

O. M. Al-Barbarawi, "Improving Performance of the Braking Process, and Analysis Torque-Speed Characteristics of the Induction Motor," Engineering, Technology & Applied Science Research, vol. 8, no. 6, pp. 3585–3591, Dec. 2018. DOI:

N. Htin Win and T. Naing, "Develop a Switching Function Model and Experimental Validation of Three-Phase Step- Wave Inverter Between 120˚-180˚ conduction," in 2018 Joint International Conference on Science, Technology and Innovation, Mandalay by IEEE, Mandalay, Myanmar, Jul. 2019.

B. A. Nasir, "Design of Squirrel-Cage Self-Excited 3-phase Induction Generator," International Journal of Engineering and Advanced Technology, vol. 11, no. 1, pp. 181–188, Jul. 2021. DOI:

B. K. Bose, "The Effect of Harmonics," in Modern Power Electronics and AC Drives, Upper Saddle River, N.J, USA: Prentice Hall PTR, 2002, pp. 49–55.

E. O. Anyang, "The impact of variable speed drives on energy efficient induction motors," M.S. thesis, University of Cape Town, Cape Town, South Africa, 2011.

N. H. Mugheri and M. U. Keerio, "An Optimal Fuzzy Logic-based PI Controller for the Speed Control of an Induction Motor using the V/F Method," Engineering, Technology & Applied Science Research, vol. 11, no. 4, pp. 7399–7404, Aug. 2021. DOI:


How to Cite

B. A. Nasir, “Determination of the Harmonic Losses in an Induction Motor Fed by an Inverter”, Eng. Technol. Appl. Sci. Res., vol. 12, no. 6, pp. 9536–9545, Dec. 2022.


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