Developing a Simple and an Accurate Formula for the Conduction Angle of a Single Phase Rectifier with RL Load
The paper presents a simple and an accurate formula
that has been developed for the conduction angle (δ) of a single
phase half-wave or full-wave controlled rectifier with RL load. This
formula can be also used for calculating the conduction angle (δ) in
case of A.C. voltage regulator with inductive load under
discontinuous current mode. The simulation results shows that the
conduction angle calculated from the developed formula agree very
well with that obtained from the exact solution arrived from the
iterative method. Applying the developed formula can reduce the
computational time and reduce the time for manual classroom
calculation. In addition, the proposed formula is attractive for real
time implementations.
[1] M.H. Rashid, "Power Electronics: Circuit, Devices, and Applications",
Third edition, Pearson Prentice Hall, USA, 2004.
[2] D. W. Hart, "Introduction to Power Electronics", Prentice Hall, USA,
1997.
[3] B.M. Bird and K.G. King, "An Introduction to Power Electronics", John
Wiley & Sons Ltd, January 1988.
[4] N. Mohan, T. Undeland, and W. Robbins, "Power Electronics:
Converters, Applications, and Design", Third Edition, John Wiley &
Sons, USA, 2003.
[5] A. Ahmed, "Power Electronics for Technology", Prentice Hall, USA,
1999.
[6] P.C. Sen, "Power Electronics", Tata McGraw-Hill Publishing Company
Limited, New Delhi, 1990.
[7] J. kassakian, M. Schlecht, and G. Verghese, "Principles of Power
Electronics", Addison-Wesley Publishing Company, New York, 1991.
[8] C.W. Lander, "Power Electronics", Second Edition, McGraw-Hill Book
Company, U.K., 1987.
[9] D. Straughen, "Power Semiconductor Circuits", Wiley-Interscience
Publication, John Wiley & Sons, New York, 1975.
[10] M.J. Fisher, "Power Electronics", Thomson Information / Publishing
group, PWS-KENT Publishing Company, Boston, 1991.
[11] S.K. Datta, "Power Electronics & Controls", Prentice-Hall Company,
Reston, Virginia, 1985.
[12] W. Shephered and L.N. Hulley, "Power Electronics and Motor
Control", Cambridge University Press, U.K., 1982.
[13] 13 - B.R. Pelly, Thyristor Phase -Control Converters and
Cycloconverters, John Wiley &Sons, Inc, Canada, 1971.
[14] 14- A.Brain and M .Breiner, MATLAB for Engineering , Addeson-
Weseley, Workingham ,1995.
[15] 15-D.Fowoy, and M. Horton , The Student edition of MATLAB, The
Math Works, London, 1995.
[16] 16- M. Akbaba, S. Nassimi, and I. Qamber, "Accurate formula for the
conduction angle of single phase voltage controllers and controlled
rectifiers with inductive loads", Modelling, Measurement & Control,
Vol. 59, No. 3, 1995, pp. 41-46.
[1] M.H. Rashid, "Power Electronics: Circuit, Devices, and Applications",
Third edition, Pearson Prentice Hall, USA, 2004.
[2] D. W. Hart, "Introduction to Power Electronics", Prentice Hall, USA,
1997.
[3] B.M. Bird and K.G. King, "An Introduction to Power Electronics", John
Wiley & Sons Ltd, January 1988.
[4] N. Mohan, T. Undeland, and W. Robbins, "Power Electronics:
Converters, Applications, and Design", Third Edition, John Wiley &
Sons, USA, 2003.
[5] A. Ahmed, "Power Electronics for Technology", Prentice Hall, USA,
1999.
[6] P.C. Sen, "Power Electronics", Tata McGraw-Hill Publishing Company
Limited, New Delhi, 1990.
[7] J. kassakian, M. Schlecht, and G. Verghese, "Principles of Power
Electronics", Addison-Wesley Publishing Company, New York, 1991.
[8] C.W. Lander, "Power Electronics", Second Edition, McGraw-Hill Book
Company, U.K., 1987.
[9] D. Straughen, "Power Semiconductor Circuits", Wiley-Interscience
Publication, John Wiley & Sons, New York, 1975.
[10] M.J. Fisher, "Power Electronics", Thomson Information / Publishing
group, PWS-KENT Publishing Company, Boston, 1991.
[11] S.K. Datta, "Power Electronics & Controls", Prentice-Hall Company,
Reston, Virginia, 1985.
[12] W. Shephered and L.N. Hulley, "Power Electronics and Motor
Control", Cambridge University Press, U.K., 1982.
[13] 13 - B.R. Pelly, Thyristor Phase -Control Converters and
Cycloconverters, John Wiley &Sons, Inc, Canada, 1971.
[14] 14- A.Brain and M .Breiner, MATLAB for Engineering , Addeson-
Weseley, Workingham ,1995.
[15] 15-D.Fowoy, and M. Horton , The Student edition of MATLAB, The
Math Works, London, 1995.
[16] 16- M. Akbaba, S. Nassimi, and I. Qamber, "Accurate formula for the
conduction angle of single phase voltage controllers and controlled
rectifiers with inductive loads", Modelling, Measurement & Control,
Vol. 59, No. 3, 1995, pp. 41-46.
@article{"International Journal of Electrical, Electronic and Communication Sciences:49747", author = "S. Ali Al-Mawsawi and Fadhel A. Albasri", title = "Developing a Simple and an Accurate Formula for the Conduction Angle of a Single Phase Rectifier with RL Load", abstract = "The paper presents a simple and an accurate formula
that has been developed for the conduction angle (δ) of a single
phase half-wave or full-wave controlled rectifier with RL load. This
formula can be also used for calculating the conduction angle (δ) in
case of A.C. voltage regulator with inductive load under
discontinuous current mode. The simulation results shows that the
conduction angle calculated from the developed formula agree very
well with that obtained from the exact solution arrived from the
iterative method. Applying the developed formula can reduce the
computational time and reduce the time for manual classroom
calculation. In addition, the proposed formula is attractive for real
time implementations.", keywords = "Conduction Angle, Firing Angle, Excitation Angle,
Load Angle.", volume = "4", number = "11", pages = "1590-4", }