Um novo estimador de indutância baseados em polinômios de Lagrange para controle em tempo real da máquina a relutância variável

Autores

DOI:

https://doi.org/10.33448/rsd-v11i5.28358

Palavras-chave:

Máquina de relutância comutada; Estimador de indutância; Splines cúbicos; Polinômios de Lagrange.

Resumo

Este artigo apresenta uma nova metodologia para modelagem de curvas de indutância de máquinas de relutância chaveada usando splines cúbicos baseados em polinômios da forma de Lagrange. A metodologia proposta permite estimar a indutância instantânea e derivada da indutância em cada fase da máquina. Todas as etapas da metodologia proposta são apresentadas e discutidas, detalhando as informações necessárias para sua utilização. Os resultados de uma simulação experimental e computacional, tanto como motor quanto como gerador, são apresentados e discutidos, e as curvas estimadas são comparadas com as curvas de projeto de cada resultado. O estimador de indutância foi embarcado em um DSP de baixo custo, e a máquina foi acionada usando uma bancada experimental. Os resultados experimentais são apresentados e comparados com os resultados da simulação, permitindo avaliar o nível de precisão obtido pelo estimador proposto. O estimador combina precisão com baixo custo computacional, o que torna este método um forte candidato para sistemas que requerem estimativa de parâmetros da máquina em tempo real, como torque e fluxo, permitindo a implementação de novas técnicas de controle.

Referências

Andrade, D. A. & Krishnan, R. (2001). Characterization of switched reluctance machines using Fourier series approach, Conference Record - IAS Annual Meeting (IEEE Industry Applications Society) 1.

Banerjee, R. &Sensarma, P. (2018). Non-linear Magnetic Characteristics Modeling for Switched Reluctance Machines, Proceedings of 2018 IEEE International Conference on Power Electronics, Drives and Energy Systems, PEDES 2018, 2018.

Bilgin B., & Emadi A., &Krishnamurthy M. (2013), Comprehensive evaluation of the dynamic performance of a 6/10 SRM for traction application in PHEVs, IEEE Transactions on Industrial Electronics 60 (2013), no. 7.

Bilgin, B. & Jiang, J. (2019). Switched Reluctance Motor Drives - Fundamentals to Applications, CRC Press.

Bilgin, B., & Jiang, J., & Emadi, A. (2019). Switched Reluctance Motor Drives Fundamentals to Applications, vol. 369, 2019.

Cai, J. & Liu, Z. (2020). An Unsaturated Inductance Reconstruction Based Universal Sensorless Starting Control Scheme for SRM Drives, IEEE Transactions on Industrial Electronics 67 (2020), no. 11.

Cai, Y., et al. (2010). Nonlinear modeling for switched reluctance motor by measuring flux linkage curves, ICCET 2010 - 2010 International Conference on Computer Engineering and Technology, Proceedings, vol. 6.

Corda J. & Stephenson J. M. (1980). ANALYTICAL ESTIMATION OF THE MINIMUM AND MAXIMUM INDUCTANCES OF A DOUBLE-SALIENT MOTOR., AIAA Paper.

Du, J., & Liang, D., & Xu, L. & Li, Q. (2010). Modeling of a linear switched reluctance machine and drive for wave energy conversion using matrix and tensor approach, IEEE Transactions on Magnetics, vol. 46, 2010.

Duy Minh Nguyen, & D. M., Bahri, I., et al. (2019). Vibration study of the intermittent control for a switched reluctance machine, Mathematics and Computers in Simulation 158.

Emadi, A., & Joo Lee, Y., & Rajashekara, K. (2008). Power electronics and motor drives in electric, hybrid electric, and plug-in hybrid electric vehicles.

Fang, G. & Bauman J. (2020). Optimized Switching Angle-Based Torque Control of Switched Reluctance Machines for Electric Vehicles. IEEE, 978-1-7281-4629-4/20.

Kalaivani, L., & Subburaj, P., &Willjuice I., M. (2013). Speed control of switched reluctance motor with torque ripple reduction using non-dominated sorting genetic algorithm (NSGA-II), International Journal of Electrical Power and Energy Systems 53, no. 1.

Kushwaha, A. & Kanagaraj, R. (2020) Peak-current estimation using simplified current-rise model of switched reluctance generator operating in single-pulse mode, International Journal of Electrical Power and Energy Systems 120.

Lin, J., & Cheng K., el al, (2014). Estimation of inductance derivative for force control of linear switched reluctance actuator, IEEE Transactions on Magnetics 50 (2014), no. 11.

Mikail R., & Husain I., & Islam M. (2013). Finite element based analytical model for controller development of switched reluctance machines, 2013 IEEE Energy Conversion Congress and Exposition, ECCE 2013, 2013.

Moraes Filho, M. J. d. (2017). Desenvolvimento de plataforma de acionamento digital para motor a relutância variável 8/6. 2017. 98 f. Dissertação (Mestrado em Engenharia Elétrica) - Universidade Federal de Uberlândia.

Poming, Z. (2020). Magnetic Field Calculation of Switched Reluctance Machines using an improved conformal mapping method. IEEE 19th Bienal Conference on Eletromagnetic Field Computation, DOI:10.1109/CEFC46938.2020.9451364.

Rajib. M. & Husain, I. (2013). Finite element based analytical model for controller development of switched reluctance machines, 2013 IEEE Energy Conversion Congress and Exposition, ECCE 2013, 2013.

Sahoo, S. K., & Panda, S. K. & Xu, J. X. (2008). Piece-wise polynomial based model for switched reluctance motor, IEEE Power and Energy Society 2008 General Meeting: Conversion and Delivery of Electrical Energy in the 21st Century, PES, 2008.

Song, S. el all (2019). Direct Instantaneous Torque Control of Switched Reluctance Machine Based on Modular Multi-Level power Converter. 22nd international conference on electrical machines and sistems (ICEMS).

Takayoshi M., & Jian L., & Eugene P. H., & Thomas A. L. (1997). Self Excited Variable Reluctance Generator. 1997. 5-9, Lousiana : IEE Industry Application Society, 1997, Vol. Ocober.

Velmurugan, G., & Shen Yeoh, S., & Yang, T., & Bozhko, S. (2019). Piecewise Modelling Approach for Specific Switched Reluctance Machines, Proceedings - ICOECS 2019: 2019 International Conference on Electrotechnical Complexes and Systems.

Viajante G. P., & Andrade D. A., at all. (2016). A grid connection scheme of a switched reluctance generator for active power injection using P-resonant (P-RES) controller, Electric Power Systems Research; 141:572–9.

Viajante, G. P. et al. (2018). "Study and Dynamic Performance Analysis of a Switched Reluctance Generator 8/6 for Wind Energy Application," 2018 IEEE International Conference on Environment and Electrical Engineering and 2018 IEEE Industrial and Commercial Power Systems Europe (EEEIC / I&CPS Europe), Palermo, 2018, pp. 1-6, doi: 10.1109/EEEIC.2018.8493726.

Wang, Q., & Chen H, el al,(2016). Inductance estimation method for linear switched reluctance machines considering iron losses, IET Electric Power Applications 10 (2016), no. 3.

Yasa, Y., & Sozer, Y., & Garip, M. (2018). High-speed switched reluctance machine: Natural frequency calculation and acoustic noise prediction, Turkish Journal of Electrical Engineering and Computer Sciences 26, no. 2.

Downloads

Publicado

08/04/2022

Como Citar

FIDELIS, R. T.; FARIA, V. H. da C. .; FILHO, M. J. de M.; VIAJANTE, G. P.; NERY, E. C.; SILVEIRA, A. W. F. V. da .; GOMES, L. C. Um novo estimador de indutância baseados em polinômios de Lagrange para controle em tempo real da máquina a relutância variável. Research, Society and Development, [S. l.], v. 11, n. 5, p. e30911528358, 2022. DOI: 10.33448/rsd-v11i5.28358. Disponível em: https://rsdjournal.org/index.php/rsd/article/view/28358. Acesso em: 21 nov. 2024.

Edição

Seção

Engenharias