© The Institution of Engineering and Technology
Most transformer finite-element electromagnetic analysis is performed in the frequency domain (with an implicit sinusoidal variation of flux, current and voltage), since the calculation of the transient time-domain solution, particularly of multiple cases or conditions, is currently restricted by the conventional computational power (especially in three dimensions). At high levels of saturation, though, core flux can be very non-sinusoidal. Where sinusoidal conditions do not hold, for example ferroresonant currents, a time-domain solution is normally indicated; however, this article discusses an alternative methodology for periodic modes of sustained ferroresonance, which can be facilitated in the frequency domain. Specifically, the problem is approached by considering the ferroresonance excitation waveforms as a harmonic series. It is demonstrated that the basic frequency of a sustained resonance condition not only contributes to the overall saturation but also controls the way the core moves into and out of saturation. All the other frequencies contribute to the extreme of core saturation. The proposed method is validated through ferroresonance field test recordings.
References
-
-
1)
-
Sitzia, A.: `Stacking factors and directional permeabilities in SLIM magnetic solvers', Technical Note – Slim Technical Manual, 13 September 2005.
-
2)
-
Mukerjee, R.N., Tanggaselu, B., Ariffin, A.E., Balakrishnan, M.: `Indices for ferroresonance performance assessment in power distribution network', IPST 2003, 2003, New Orleans, p. 1–5.
-
3)
-
C. Charalambous ,
Z. Wang ,
M. Osborne ,
P. Jarman
.
Sensitivity studies on power transformer ferroresonance of a 400 kV double circuit.
IET Proc. Gener. Transm. Distrib.
,
2 ,
159 -
166
-
4)
-
S.J. Salon
.
(2000)
Finite element analysis of electrical machines.
-
5)
-
C. Guérin ,
G. Tanneau ,
G. Meunier
.
3D Eddy current losses calculation in transformer tanks using the finite element method.
IEEE Trans. Magn.
,
2 ,
1419 -
1422
-
6)
-
C. Guérin ,
G. Meunier
.
Surface impedance for 3D non-linear eddy current problems – application to loss computation in transformers.
IEEE Trans. Magn.
,
3 ,
808 -
811
-
7)
-
Tong, Y.K.: `NGC experience on ferroresonance in power transformers and voltage transformers on HV transmission systems, warning! ferroresonance can damage your plant', IEE Colloquium, 12 November 1997.
-
8)
-
‘IEEE recommended practice for establishing transformer capability when supplying non-sinusoidal load currents’. IEEE STD C57.110-1998, The Institute of Electrical Electronics Engineering Inc., 30 March 1999.
-
9)
-
K. Milicevic ,
Z. Emin
.
Impact of initial conditions on the initiation of ferroresonance.
Int. J. Electr. Power Energy Syst.
,
4 ,
146 -
152
-
10)
-
A. Lefèvre ,
L. Miègeville ,
J. Fouladgar ,
G. Olivier
.
3-D computation of transformers overheating under nonlinear loads.
IEEE Trans. Magn.
,
5 ,
1564 -
1567
-
11)
-
Sturgess, J.P.: `Advanced electromagnetic analysis of power transformers and inductors', UK Magnetics Society Seminar – Electromagnetics in Power Systems Applications, 18 June 2008, p. 1–4, Alstom Grid UK, Stafford.
-
12)
-
C.A. Charalambous ,
Z. Wang ,
M. Osborne ,
P. Jarman
.
Two-dimensional finite element electromagnetic analysis of an auto transformer experiencing ferroresonance.
-
13)
-
Sitzia, A.: `The relationship between winding flux linkage and average vector potential (Amean)', Technical Note – Slim Technical Manual, 22 July 2003.
-
14)
-
SLIM version 3.9.1, © Alstom Grid, October 2006, support.slim@alstom.com.
-
15)
-
Jacobson, D.A.N., Menzies, R.W.: `Investigation of station service transformer ferroresonance in Manitoba hydro's 230 kV Dorsey converter station', IPST 2001, 24–28 June 2001, Rio de Janeiro, p. 1–6.
-
16)
-
C.A. Charalambous ,
Z. Wang ,
J.P. Sturgess ,
P. Jarman
.
Finite element techniques of a power transformer under ferroresonance- a time domain approach.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-gtd.2010.0233
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