Abstract:
Knowledge of the natural frequencies of air-core and iron-core coils and of transformer and generator windings is of essential theoretical and practical importance. In th...Show MoreMetadata
Abstract:
Knowledge of the natural frequencies of air-core and iron-core coils and of transformer and generator windings is of essential theoretical and practical importance. In this paper an equivalent circuit method is derived for the computation of all the natural frequencies of interest of both air-core and iron-core coils. This method takes into account all mutual inductance linkages, which usually have been neglected in the literature. Neglect of mutual inductance linkages leads to computed frequencies which do not agree with the measured frequencies. It is therefore necessary to consider the mutual inductance linkages in the computation of the natural frequencies of coils and windings. The equivalent circuit with all mutual inductance linkages may be solved by punch-card equipment, or by setting up an appropriate circuit on the a-c network analyzer. Both methods of solution are accurate; either one may be preferable in practice, depending upon the circumstances. The natural frequencies of a coil with air and iron core and different capacitive parameters, computed in this manner, are compared with the measured frequencies. Agreement between computed and measured values is excellent for the first seven harmonics of the air-core coil, and for the first three harmonics of the iron-core coil.
Published in: Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems ( Volume: 72, Issue: 3, June 1953)
References is not available for this document.
Select All
1.
E. A. Guillemin, Communication Networks (book), N. Y., New York:John Wiley and Sons, Inc., vol. 2, 1935.
2.
W. Wagner, "The Progress of an Electromagnetic Wave in a Coil with Capacity Between Turns" in Elektrotechnik und M.aschinenbau, Austria, Vienna, vol. 33, pp. 89-107, 1915.
3.
L. F. Blume and A. Boyajian, "Abnormal Voltages Within Transformers", AIEE Transactions, vol. 39, pp. 577-620, 1919.
4.
K. K. Palueff, "The Effect of Transient Voltages on Power Transformers", AIEE Transactions, vol. 48, pp. 681-706, July 1929.
5.
L. V. Bewley, Traveling Waves on Transmission Lines (book), N. Y., New York:John Wiley and Sons, Inc., vol. II, 1951.
6.
Surge Phenomena (book), England, London:The British Electrical and Allied Industries Research Association, 1941.
7.
R. Rüdenberg, "Performance of Traveling Waves in Coils and Windings", AIEE Transactions, vol. 59, pp. 1031-1040, 1940.
8.
J. M. Weed, "Abnormal Voltages in Transformers", AIEE Transactions, vol. 34, pp. 2197-2236, 1915.
9.
A. M. Angelini, "Operational Calculus and Study of Electrical Circuits in Transient Conditions" in LElettrotecnica, Italy, Milan, vol. 22, pp. 294-295, 1935.
10.
M. F. Gardner and J. L. Barnes, Transients in Linear Systems (book), N. Y., New York:John Wiley and Sons, Inc., vol. 1, pp. 320-326, 1942.
11.
G. W. Carter, Simple Calculation of Electrical Transients (book), England, London:MacMillan and Co., Ltd., pp. 94-97, 1945.
12.
W. Wagner, "Oscillations Due to Traveling Waves in Transformer Windings" in Archiv für Elektrotechnik, Germany, Berlin, vol. 6, pp. 301-313, 1918.
13.
P. L. Bellaschi and A. J. Palermo, "Analysis of Transient Voltages in Networks", AIEE Transactions, vol. 59, pp. 973-981, 1940.
14.
F. W. Grover, Inductance Calculations (book), N. Y., New York:D. Van Nostrand Company, Inc., 1946.
15.
N. Rohats, "The Oscillograph Electric Transient Analyzer", General Electric Review, vol. 39, pp. 146-149, 1936.
16.
L. V. Bewley, J. H. Hagenguth and F. R. Jackson, "Methods of Determining Natural Frequencies in Coils and Windings", AIEE Transactions, vol. 60, pp. 1145-1150, 1941.
