Skip to main content
SpringerLink
Log in

Dynamic Modeling of Linear Permanent Magnet Synchronous Motors: Determination of Parameters and Numerical Co-simulation

  • Published:
Journal of Control, Automation and Electrical Systems Aims and scope Submit manuscript

Abstract

This work proposes a systematic procedure for the dynamic modeling of linear permanent magnet synchronous motors comprising the parameter determination and the development of a numerical co-simulation setup combining mechanical, electrical, and magnetic analysis. A theoretical model is obtained based on the equivalence between the rotary and linear machines, and its parameters are determined through numerical analysis and verified by experimental tests on a prototype of a slotless tubular electromagnetic actuator with a double quasi-Halbach array of permanent magnets. A co-simulation environment using the finite element model of the actuator is developed to demonstrate that this tool can also be used for the dynamic analysis of linear machines. The validation of the analytical and co-simulation models is carried out with experimental tests performed on the prototype under three different open-loop voltage excitation signals in the synchronous reference frame: step, sinusoidal, and triangular wave. The proposed modeling, parameter determination procedure, and co-simulation setup can be seen as reliable tools for the analysis of the machine dynamic performance and future control design without the need for a prototype.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Boff, B. H. B., Zanatta, A. P., Dorrell, D. G., & Eckert, P. R. (2017). Influence of end effects on direct-and quadrature-axis inductances in linear electromagnetic actuators. IEEE Transactions on Magnetics, 53(11), 1–7.

    Article  Google Scholar 

  • Boff, B. H. B., Tavares, R. B., Flores Filho, A. F., & Eckert, P. R. (2019). Analysis of end pole sizing effects in linear permanent magnet synchronous actuators with quasi-halbach arrays. In 2019 12th international symposium on linear drives for industry applications (LDIA). IEEE.

  • Ebersberger, S., & Piepenbreier, B. (2012). Identification of differential inductances of permanent magnet synchronous machines using test current signal injection. In International symposium on power electronics power electronics, electrical drives: Automation and motion. IEEE.

  • Eckert, P., Flores Filho, A., Perondi, E., Ferri, J., & Goltz, E. (2016). Design methodology of a dual-halbach array linear actuator with thermal-electromagnetic coupling. Sensors, 16(3), 360.

    Article  Google Scholar 

  • Eckert, P. R., Flores Filho, A. F., Perondi, E. A., & Dorrell, D. G. (2018). Dual quasi-halbach linear tubular actuator with coreless moving-coil for semiactive and active suspension. IEEE Transactions on Industrial Electronics, 65(12), 9873–9883.

    Article  Google Scholar 

  • Fang, S., Lin, H., & Ho, S. (2009). Transient co-simulation of low voltage circuit breaker with permanent magnet actuator. IEEE Transactions on Magnetics, 45(3), 1242–1245.

    Article  Google Scholar 

  • Hall, S., Marquez-Fernandez, F. J., & Alakula, M. (2017). Dynamic magnetic model identification of permanent magnet synchronous machines. IEEE Transactions on Energy Conversion, 32(4), 1367–1375.

    Article  Google Scholar 

  • Li, L., Hong, J., Wu, H., Kou, B., & Liu, R. (2011). Direct and quadrature inductances measurement of the permanent magnetic linear synchronous machines. Energy Conversion and Management, 52(5), 2282–2287.

    Article  Google Scholar 

  • Liang, W., Wang, J., Lu, T., & Fang, W. (2014). A new method for multiple finite-element models in cosimulation with electrical circuit using machine multiloop modeling scheme. IEEE Transactions on Industrial Electronics, 61(12), 6583–6590.

    Article  Google Scholar 

  • Liu, Z.-H., Wei, H.-L., Li, X.-H., Liu, K., & Zhong, Q.-C. (2018). Global identification of electrical and mechanical parameters in PMSM drive based on dynamic self-learning PSO. IEEE Transactions on Power Electronics, 33(12), 10858–10871.

    Article  Google Scholar 

  • Pereira, L. A., Perin, M., & Pereira, L. F. A. (2018). A new method to estimate induction machine parameters from the no-load startup transient. Journal of Control, Automation and Electrical Systems, 30(1), 41–53.

    Article  Google Scholar 

  • Schoonhoven, G., & Uddin, M. N. (2017). Harmonic injection-based adaptive control of IPMSM motor drive for reduced motor current THD. IEEE Transactions on Industry Applications, 53(1), 483–491.

    Article  Google Scholar 

  • Štumberger, G., Štumberger, B., & Marčič, T. (2019). Magnetically nonlinear dynamic models of synchronous machines and experimental methods for determining their parameters. Energies, 12(18), 3519.

    Article  Google Scholar 

  • Susperregui, A., Tapia, G., & Tapia, A. (2007). Application of two alternative sliding-mode control approaches to DC servomotor position tracking. IET Electric Power Applications, 1(4), 611.

    Article  Google Scholar 

  • Tursini, M., Villani, M., Tullio, A. D., Fabri, G., & Collazzo, F. P. (2017). Nonlinear model suitable for the offline cosimulation of fault-tolerant PM motors drives. IEEE Transactions on Industry Applications, 53(4), 3719–3729.

    Article  Google Scholar 

  • Vas, P. (1998). Sensorless Vector and Direct Torque Control. Monographs in electrical and electronic engineering. Oxford University Press.

  • Wang, Z., Chinthavali, M., Campbell, S. L., Wu, T., & Ozpineci, B. (2019). A 50-kW air-cooled SiC inverter with 3-d printing enabled power module packaging structure and genetic algorithm optimized heatsinks. IEEE Transactions on Industry Applications, 55(6), 6256–6265.

    Article  Google Scholar 

  • Yan, L., Zhang, L., Jiao, Z., Hu, H., Chen, C.-Y., & Chen, I.-M. (2014). Armature reaction field and inductance of coreless moving-coil tubular linear machine. IEEE Transactions on Industrial Electronics, 61(12), 6956–6965.

    Article  Google Scholar 

  • Zanatta, A. P., Boff, B. H. B., Eckert, P. R., Flores Filho, A. F., & Dorrell, D. G. (2018). Tubular linear permanent magnet synchronous machine applied to semi-active suspension systems. COMPEL, 37(5), 1781–1794.

  • Zhu, X., Cheng, M., Zhao, W., Liu, C., & Chau, K. (2007). A transient cosimulation approach to performance analysis of hybrid excited doubly salient machine considering indirect field-circuit coupling. IEEE Transactions on Magnetics, 43(6), 2558–2560.

    Article  Google Scholar 

Download references

Acknowledgements

This study was financed by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001; by the Fundação de Amparo à Pesquisa do Estado do Rio Grande do Sul—Brasil (FAPERGS)—Code 17/2551-0000897-9; and by the Conselho Nacional de Desenvolvimento Científico e Tecnológico—Brasil (CNPq), Grants: GD-142369/2018-7 and PQ-306223/2018-0. Data available on request from the authors.

Author information

Authors and Affiliations

  1. Programa de Pós-Graduação em Engenharia Elétrica, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, Brazil

    Ben Hur Bandeira Boff, Jeferson Vieira Flores, Aly Ferreira Flores Filho & Paulo Roberto Eckert

Authors
  1. Ben Hur Bandeira Boff
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jeferson Vieira Flores
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Aly Ferreira Flores Filho
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Paulo Roberto Eckert
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ben Hur Bandeira Boff.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Boff, B.H.B., Flores, J.V., Flores Filho, A.F. et al. Dynamic Modeling of Linear Permanent Magnet Synchronous Motors: Determination of Parameters and Numerical Co-simulation. J Control Autom Electr Syst 32, 1782–1794 (2021). https://doi.org/10.1007/s40313-021-00749-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40313-021-00749-2

Keywords

Search

Navigation