Modelo discreto para sistemas de estructura variable
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Jul 1, 2010
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Higuera-Martínez, O. (2010). Modelo discreto para sistemas de estructura variable. Ingeniería Investigación Y Desarrollo, 10(1), 39-45. Recuperado a partir de https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/915
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Oscar Iván Higuera-MartínezResumen
En este artículo se presenta un modelo discreto genérico para sistemas de estructura variable. El modelo es aplicado a cualquier sistema de estructura variable de operación cíclica, como convertidores de potencia. Se asume que la frecuencia de conmutación es un múltiplo entero de la frecuencia de muestreo y se emplea retenedor de orden cero. El circuito o el sistema opera en modo cíclico con G posibles configuraciones, el modelo generado es usado en pequeña señal y baja frecuencia, y se valida usando Matlab / Simulink 2007.
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Referencias
[1] Brown, A. R. and Middlebrook, R. D. (1981): Sampled-data modeling of switching regulators, IEEE Power Electronics Specialists Conf. (PESC) Rec. pages 349-369.
[2] Burdio, José and Martínez, Abelardo. (1995): A unified discrete-time state-space model for switching converters, IEEE Transactions on Power Electronics, 10(6), pp. 694-707.
[3] Chen, Chi-Tsong (1999): Linear system theory and design. Oxford University Press, NewYork, 3 edition.
[4] Fang, Chung-Chieh (1997): Sampled-data analysis and control of DC-DC switching converters, PhD thesis, University of Maryland, Maryland, USA.
[5] Fossard, A. J. et al. (1977): A general linear continuous model for design of power-conditioning units at fixed and freerunning frequency, IEEE Power Electronics Specialists Conf. (PESC) Rec., pp. 113-124.
[6] García de Vicuña, J. L. (1990): Modelos discretos no lineales para reguladores continua-continua., tesis de PhD Departamento de Ingeniería Electrónica. Universidad Politécnica de Cataluña, Barcelona, España.
[7] García de Vicuña, J. L. et al. (1992) Computer-aided discretetime large-signal analysis of switching regulators. IEEE Trans. Power Electronics, 7: 75-82.
[8] Krein, P. T. and Bass, R. M. (1990) Geometric formulation, classification and methods for power electronic systems. IEEE Power Electronics Specialists Conf. (PESC) Rec. pages 499-505.
[9] Kislovski, A. S. (1982) General small-signal analysis method for switching regulators. Proc. PCI, pages 1-15.
[10] Kislovski, A. S.; Redl, R. and Sokal, N.O. (1991) Dynamic analysis of switching-mode DC/DC converters. NewYork, Van Nostrand Reinhold.Lee, F. C. et al. (1979) Generalized computer aided discrete-time modeling and analysis of dcdc converters. IEEE Trans. Ind. Electron. Contr. Instrum, IECI-26: 58-69.
[11] Louis, J. P. (1983): Non-linear and linearized models for control systems including static converters. Proc. 3rd. IFAC Symp, Control in Power Electronics and Electrical Drives, pp. 9-16.
[12] Lutz, R. Von y Grotzbach, M. (1985): Straightforward discrete modeling for power converter systems. IEEE. Power Electronics Specialists Conf. (PESC) Rec., pp. 761-770.
[13] Martinelli, R.M. (1984): A state variable modeling technique for personal computer simulation of converter dynamic properties, Proc. Powercon, 11(H3), pp. 1-9.
[14] Middlebrook, R. D. and Cuk, S. (1976): A general unified approach to modelling switching- converter power stages., IEEE Power Electronics specialists Conf. Rec., pp. 18- 34.
[15] Middlebrook, R. D. and Cuk, S. (1977): A general unified approach to modelling dc-to dc converter in discontinuous conduction mode, IEEE Power Electronics specialists Conf. Rec, pages 36-57.
[16] Ogata, K. (1987): Discrete-time control systems, Prentice Hall, Englewood Cliffs, N.J.
[17] Prajoux, R.; Marpinard, J. C., et Jalade, J. (1976): Etablissement de modèles mathématiques pour régulateurs de puissance á modulation de largeur d ‘ impulsions (pwm). pti: Modèles discrets. ESASci. Tech. Rev. 2, pp. 25-42.
[18] Shortt, D. J. and Lee, F. C. (1983): Extensions of discreteaverage models for converter power stages, IEEE Power Electronics Specialists Conf. (PESC) Rec., pp. 23-37.
[19] Verghese, G. C.; Elbuluk, M. E., and Kassakian, J.G. (1986): A general approach to sampled-data modeling for power electronic circuits, IEEE Trans Power Electronics, PE-1, pp. 77-89.
[20] Verghese, G. C.; Bruzos, C. A., and Mahabir, K. N. (1989): Averaged and sampled-data modeling for power electronic circuits, IEEE Power Electronics Specialists Conf., (PESC) Rec., pp. 484-491.
[21] Wood, P. (1979): General theory of switching power converters, IEEE Power Electronics specialists Conf., (PESC) Rec., pp. 3-10.
[22] Wood, P. (1981): Switching power converters, New York, Van Nostrand Reinhold.
[23] Yaakov, Sam Ben and Huliehel, Fakhralden. (1991): Lowfrequency sampled data models of switched mode dc-dc converters, IEEE Transactions on Power Electronics, 6(1):55-61.
[2] Burdio, José and Martínez, Abelardo. (1995): A unified discrete-time state-space model for switching converters, IEEE Transactions on Power Electronics, 10(6), pp. 694-707.
[3] Chen, Chi-Tsong (1999): Linear system theory and design. Oxford University Press, NewYork, 3 edition.
[4] Fang, Chung-Chieh (1997): Sampled-data analysis and control of DC-DC switching converters, PhD thesis, University of Maryland, Maryland, USA.
[5] Fossard, A. J. et al. (1977): A general linear continuous model for design of power-conditioning units at fixed and freerunning frequency, IEEE Power Electronics Specialists Conf. (PESC) Rec., pp. 113-124.
[6] García de Vicuña, J. L. (1990): Modelos discretos no lineales para reguladores continua-continua., tesis de PhD Departamento de Ingeniería Electrónica. Universidad Politécnica de Cataluña, Barcelona, España.
[7] García de Vicuña, J. L. et al. (1992) Computer-aided discretetime large-signal analysis of switching regulators. IEEE Trans. Power Electronics, 7: 75-82.
[8] Krein, P. T. and Bass, R. M. (1990) Geometric formulation, classification and methods for power electronic systems. IEEE Power Electronics Specialists Conf. (PESC) Rec. pages 499-505.
[9] Kislovski, A. S. (1982) General small-signal analysis method for switching regulators. Proc. PCI, pages 1-15.
[10] Kislovski, A. S.; Redl, R. and Sokal, N.O. (1991) Dynamic analysis of switching-mode DC/DC converters. NewYork, Van Nostrand Reinhold.Lee, F. C. et al. (1979) Generalized computer aided discrete-time modeling and analysis of dcdc converters. IEEE Trans. Ind. Electron. Contr. Instrum, IECI-26: 58-69.
[11] Louis, J. P. (1983): Non-linear and linearized models for control systems including static converters. Proc. 3rd. IFAC Symp, Control in Power Electronics and Electrical Drives, pp. 9-16.
[12] Lutz, R. Von y Grotzbach, M. (1985): Straightforward discrete modeling for power converter systems. IEEE. Power Electronics Specialists Conf. (PESC) Rec., pp. 761-770.
[13] Martinelli, R.M. (1984): A state variable modeling technique for personal computer simulation of converter dynamic properties, Proc. Powercon, 11(H3), pp. 1-9.
[14] Middlebrook, R. D. and Cuk, S. (1976): A general unified approach to modelling switching- converter power stages., IEEE Power Electronics specialists Conf. Rec., pp. 18- 34.
[15] Middlebrook, R. D. and Cuk, S. (1977): A general unified approach to modelling dc-to dc converter in discontinuous conduction mode, IEEE Power Electronics specialists Conf. Rec, pages 36-57.
[16] Ogata, K. (1987): Discrete-time control systems, Prentice Hall, Englewood Cliffs, N.J.
[17] Prajoux, R.; Marpinard, J. C., et Jalade, J. (1976): Etablissement de modèles mathématiques pour régulateurs de puissance á modulation de largeur d ‘ impulsions (pwm). pti: Modèles discrets. ESASci. Tech. Rev. 2, pp. 25-42.
[18] Shortt, D. J. and Lee, F. C. (1983): Extensions of discreteaverage models for converter power stages, IEEE Power Electronics Specialists Conf. (PESC) Rec., pp. 23-37.
[19] Verghese, G. C.; Elbuluk, M. E., and Kassakian, J.G. (1986): A general approach to sampled-data modeling for power electronic circuits, IEEE Trans Power Electronics, PE-1, pp. 77-89.
[20] Verghese, G. C.; Bruzos, C. A., and Mahabir, K. N. (1989): Averaged and sampled-data modeling for power electronic circuits, IEEE Power Electronics Specialists Conf., (PESC) Rec., pp. 484-491.
[21] Wood, P. (1979): General theory of switching power converters, IEEE Power Electronics specialists Conf., (PESC) Rec., pp. 3-10.
[22] Wood, P. (1981): Switching power converters, New York, Van Nostrand Reinhold.
[23] Yaakov, Sam Ben and Huliehel, Fakhralden. (1991): Lowfrequency sampled data models of switched mode dc-dc converters, IEEE Transactions on Power Electronics, 6(1):55-61.
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