Averaging Model of a Three-Phase Controlled Rectifier Feeding an Uncontrolled Buck Converter
Dynamic models of power converters are normally
time-varying because of their switching actions. Several approaches
are applied to analyze the power converters to achieve the timeinvariant
models suitable for system analysis and design via the
classical control theory. The paper presents how to derive dynamic
models of the power system consisting of a three-phase controlled
rectifier feeding an uncontrolled buck converter by using the
combination between the well known techniques called the DQ and
the generalized state-space averaging methods. The intensive timedomain
simulations of the exact topology model are used to support
the accuracies of the reported model. The results show that the
proposed model can provide good accuracies in both transient and
steady-state responses.
[1] A. Emadi, 2004. "Modeling and Analysis of Multiconverter DC Power
Electronic Systems Using the Generalized State-Space Averaging
Method", IEEE Trans. on Indus. Elect., vol. 51, n. 3, June, pp. 661-668.
[2] A. Emadi, 2004. "Modeling of Power Electronic Loads in AC
Distribution Systems Using the Genearlized State-Space Averaging
Method", IEEE Trans. on Indus. Elect., vol. 51, n. 5, October, pp. 992-
1000.
[3] L. Han, J., Wang, and D., Howe, 2007. "State-space average modelling
of 6- and 12-pulse diode rectifiers", The 12th European Conf. on Power
Elect. and Appl., Aalborg, Denmark, Sep.
[4] A. Baghramian, and A.J., Forsyth, 2004. "Averaged-Value Models of
Twelve-Pulse Rectifiers for Aerospace Applications", Power
Electronics, Machines, and Drives (PEMD 2004), University of
Edinburgh, UK, March-April, pp.220-225.
[5] S.D. Sudhoff, and O., Wasynczuk, 1993. "Analysis and Average-Value
Modeling of Line-Commutated Converter-Synchronous Machine
Systems", IEEE Trans. on Energy Conversion., vol. 8, n. 1, March, pp.
92-99.
[6] C.T. Rim, D.Y., Hu, and G.H., Cho, 1990. "Transformers as Equivalent
Circuits for Switches: General Proofs and D-Q Transformation-Based
Analyses", IEEE Trans. on Indus. Appl., vol. 26, n. 4, July/August, pp.
777-785.
[7] C.T. Rim, N.S., Choi, G.C., Cho, and G.H., Cho, 1994. "A Complete DC
and AC Analysis of Three-Phase Controlled-Current PWM Rectifier
Using CircuitD-Q Transformation", IEEE Trans. on Power Electronics,
vol. 9, n. 4, July, pp. 390-396.
[8] S.B. Han, N.S., Choi, C.T., Rim, and G.H., Cho, 1998. "Modeling and
Analysis of Static and Dynamic Characteristics for Buck-Type Three-
Phase PWM Rectifier by Circuit DQ Transformation", IEEE Trans. on
Power Electronics, vol. 13, n. 2, March, pp.323-336.
[9] K-N. Areerak, S.V., Bozhko, G.M., Asher, and D.W.P., Thomas, 2008.
"Stability Analysis and Modelling of AC-DC System with Mixed Load
Using DQ-Transformation Method", IEEE International Symposium on
Industrial Electronics, Cambridge, UK, 29 June-2 July, pp. 19-24.
[10] K-N. Areerak, S.V., Bozhko, G.M., Asher, and D.W.P., Thomas, 2008.
"DQ-Transformation Approach for Modelling and Stability Analysis of
AC-DC Power System with Controlled PWM Rectifier and Constant
Power Loads", 13th International Power Electronics and Motion Control
Conference (EPE-PEMC 2008), Poznan, Poland, 1-3 September.
[11] K-N. Areerak, S., Bozhko, G., Asher, L.de, Lillo, A., Watson, T., Wu,
and D.W.P., Thomas, 2009. "The Stability Analysis of AC-DC Systems
including Actuator Dynamics for Aircraft Power Systems", 13th
European Conference on Power Electronics and Applications (EPE
2009), Barcelona, Spain, 8-10 September.
[12] K. Chaijarurnudomrung, K-N., Areerak, and K-L., Areerak, 2010.
"Modeling of Three-phase Controlled Rectifier using a DQ method",
2010 International Conference on Advances in Energy Engineering
(ICAEE 2010), Beijing, China: June 19-20, pp.56-59.
[13] N. Mohan, T.M. Underland, and W.P. Robbins, Power Electronics:
Converters, Applications, and Design, John Wiley & Son, USA, 2003.
[14] C-M Ong, "Dynamic Simulation of Electric Machinery using
MATLAB/Simulink," Prentice Hall, 1998.
[1] A. Emadi, 2004. "Modeling and Analysis of Multiconverter DC Power
Electronic Systems Using the Generalized State-Space Averaging
Method", IEEE Trans. on Indus. Elect., vol. 51, n. 3, June, pp. 661-668.
[2] A. Emadi, 2004. "Modeling of Power Electronic Loads in AC
Distribution Systems Using the Genearlized State-Space Averaging
Method", IEEE Trans. on Indus. Elect., vol. 51, n. 5, October, pp. 992-
1000.
[3] L. Han, J., Wang, and D., Howe, 2007. "State-space average modelling
of 6- and 12-pulse diode rectifiers", The 12th European Conf. on Power
Elect. and Appl., Aalborg, Denmark, Sep.
[4] A. Baghramian, and A.J., Forsyth, 2004. "Averaged-Value Models of
Twelve-Pulse Rectifiers for Aerospace Applications", Power
Electronics, Machines, and Drives (PEMD 2004), University of
Edinburgh, UK, March-April, pp.220-225.
[5] S.D. Sudhoff, and O., Wasynczuk, 1993. "Analysis and Average-Value
Modeling of Line-Commutated Converter-Synchronous Machine
Systems", IEEE Trans. on Energy Conversion., vol. 8, n. 1, March, pp.
92-99.
[6] C.T. Rim, D.Y., Hu, and G.H., Cho, 1990. "Transformers as Equivalent
Circuits for Switches: General Proofs and D-Q Transformation-Based
Analyses", IEEE Trans. on Indus. Appl., vol. 26, n. 4, July/August, pp.
777-785.
[7] C.T. Rim, N.S., Choi, G.C., Cho, and G.H., Cho, 1994. "A Complete DC
and AC Analysis of Three-Phase Controlled-Current PWM Rectifier
Using CircuitD-Q Transformation", IEEE Trans. on Power Electronics,
vol. 9, n. 4, July, pp. 390-396.
[8] S.B. Han, N.S., Choi, C.T., Rim, and G.H., Cho, 1998. "Modeling and
Analysis of Static and Dynamic Characteristics for Buck-Type Three-
Phase PWM Rectifier by Circuit DQ Transformation", IEEE Trans. on
Power Electronics, vol. 13, n. 2, March, pp.323-336.
[9] K-N. Areerak, S.V., Bozhko, G.M., Asher, and D.W.P., Thomas, 2008.
"Stability Analysis and Modelling of AC-DC System with Mixed Load
Using DQ-Transformation Method", IEEE International Symposium on
Industrial Electronics, Cambridge, UK, 29 June-2 July, pp. 19-24.
[10] K-N. Areerak, S.V., Bozhko, G.M., Asher, and D.W.P., Thomas, 2008.
"DQ-Transformation Approach for Modelling and Stability Analysis of
AC-DC Power System with Controlled PWM Rectifier and Constant
Power Loads", 13th International Power Electronics and Motion Control
Conference (EPE-PEMC 2008), Poznan, Poland, 1-3 September.
[11] K-N. Areerak, S., Bozhko, G., Asher, L.de, Lillo, A., Watson, T., Wu,
and D.W.P., Thomas, 2009. "The Stability Analysis of AC-DC Systems
including Actuator Dynamics for Aircraft Power Systems", 13th
European Conference on Power Electronics and Applications (EPE
2009), Barcelona, Spain, 8-10 September.
[12] K. Chaijarurnudomrung, K-N., Areerak, and K-L., Areerak, 2010.
"Modeling of Three-phase Controlled Rectifier using a DQ method",
2010 International Conference on Advances in Energy Engineering
(ICAEE 2010), Beijing, China: June 19-20, pp.56-59.
[13] N. Mohan, T.M. Underland, and W.P. Robbins, Power Electronics:
Converters, Applications, and Design, John Wiley & Son, USA, 2003.
[14] C-M Ong, "Dynamic Simulation of Electric Machinery using
MATLAB/Simulink," Prentice Hall, 1998.
@article{"International Journal of Electrical, Electronic and Communication Sciences:58787", author = "P. Ruttanee and K-N. Areerak and K-L. Areerak", title = "Averaging Model of a Three-Phase Controlled Rectifier Feeding an Uncontrolled Buck Converter", abstract = "Dynamic models of power converters are normally
time-varying because of their switching actions. Several approaches
are applied to analyze the power converters to achieve the timeinvariant
models suitable for system analysis and design via the
classical control theory. The paper presents how to derive dynamic
models of the power system consisting of a three-phase controlled
rectifier feeding an uncontrolled buck converter by using the
combination between the well known techniques called the DQ and
the generalized state-space averaging methods. The intensive timedomain
simulations of the exact topology model are used to support
the accuracies of the reported model. The results show that the
proposed model can provide good accuracies in both transient and
steady-state responses.", keywords = "DQ method, Generalized state-space averaging
method, Three-phase controlled rectifier, Uncontrolled buck
converter, Averaging model, Modeling, Simulation.", volume = "5", number = "12", pages = "1800-8", }
