504 HANDBOOK OF ELECTRICAL ENGINEERING
These reactance and time constants can now be used to replace their corresponding ones in the
equation for the short-circuit current in phase A of the motor,ia, as previously used for a generator.
As with the generator short circuit, the worst-case condition of the equation for the motor is
when the switching angleφois zero. The equation becomes:-
Ia=Vpk
[
1
X′′
−
1
X′
]
exp
−t
T′′+
1
X′
exp
−t
T′′
cos(ωt)+Vpk^1
X′′
exp
−t
Ta ( 20. 36 )
Figure 20.4 was drawn from equation (20.36).
References
- R. H. Park,Two-reaction theory of synchronous machines.Generalised method of analysis. Part 1. Trans-
actions of AIEE, Vol. 48, 1929, page 716.Part 2. Transactions of AIEE, Vol. 52, 1933, page 352. - C. Concordia,Synchronous machines. John Wiley & Sons Inc. New York (1951).
- Bernard Adkins,The generalized theory of electrical machines. Chapman & Hall Ltd (Fourth printing 1964).
- Gabriel Kron,Tensorial analysis of integrated transmission systems.AIEE Transactions, Vol. 70, pages 1239
to 1248, 1951. - Paul C. Krause,Analysis of electric machinery. McGraw-Hill Book Co, Inc. (1986). ISBN 0 070-35436-7
- D. O’Kelly and S. Simmons,Introduction to generalized electrical machine theory. McGraw-Hill Publishing
Company Ltd (1968). - Edward Wilson Kimbark,Power system stability: synchronous machines. Dover Publications, Inc. (1968).
Library of Congress Card No. 68–12937. - M. G. Say,The performance and design of alternating current machines. Sir Isaac Pitman and Sons Ltd
(1963). - A. Ivanov-Smolensky,Electrical machines,Volume 3. MIR Publishers, Moscow, 1988. ISBN 5 030-
00030-5 ISBN 5 030-00027-5 - P. S. Bimbhra,Generalised theory of electrical machines. Khanna Publishers. (1996).
- J. R. Smith,Response analysis of AC electrical machines. Research Studies Press Ltd. ISBN 0 863-80091-2
John Wiley & Sons Inc. (1990). ISBN 0 471-92488-1 - H. Cotton,Advanced electrical technology. Sir Isaac Pitman and Sons Ltd. (1967).
- M. R. Harris, P. J. Lawrenson and J. M. Stephenson,Theory of machines.Per-unit systems with special
reference to electrical machines. IEE Monograph Series No. 4. - W. A. Lewis,A basic analysis of synchronous machines–Part 1.Transactions of AIEE, Vol. 77, 1958,
pages 436 to 456. - J. R. Smith, G. J. Rogers and G. W. Buckley,Application of induction motor simulation models to power
station auxiliary pump drives.IEEE Transactions on Power Apparatus and Systems, Paper No. F79 198-3,
Vol. PAS-98, No. 5, Pages 1824 to 1831, Sept/Oct 1979. - W. D. Humpage and T. N. Saha,Predetermination of current and torque requirements of an induction-
motor-driven steel rolling mill.Proc IEE, Paper No. 5291P, Vol. 114, No. 8, Aug 1967. - M. L. Waring and S. B. Crary,The operational impedances of a synchronous machine.General Electric
Review, Vol. 35, No. 11, Pages 578 to 582, Nov 1932. - G. G. Richards,Reduced order model for single and double cage induction motors during startup.IEEE
Power Engineering Review, Paper No. 87 SM 618-2, June 1988. - F. D. Rodriguez and O. Wasynczuk,A refined method of deriving reduced order models of induction
machines.IEEE Transactions on Energy Conversion, Vol. EC-2, No. 1, March 1987. - W. D. Humpage, K. E. Durrani and V. F. Carvalho, Dynamic-response analysis of interconnected
synchronous-asynchronous machine groups.Proc IEE, Paper No. 5970P, Vol. 116, No. 12, Dec 1969.