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ABOUT TERTIARY WINDING INDISPENSABILITY
CASE OF TUNISIAN TSO POWER AUTOTRANSFORMERS
A. ABADLIA(1) A. SELMI(2) F. GHODBANE(3)
M. ELLEUCH(4)
(1),(2) Société Tunisienne de l’Electricité et du Gaz (STEG) - Tunisia
(3),(4) University of Tunis El Manar, ENIT-L.S.E.-BP 37-1002 Tunis le Belvédère,
Tunisia
SUMMARY
This paper sums up work carried at STEG (Tunisian company of the electricity and the
gas) regarding technical specifications dealing with autotransformer to be installed at STEG
transmission network. These technical specifications require systematically power
autotransformers with tertiary winding; while it is unnecessary and sometimes harmful.
Specific features of STEG transmission network allows avoiding this tertiary winding
requirement.
This work shows that the obvious mentioned requirement, extended over decades, is
technically unfounded. Moreover, analysis of international standards show that they do not
require this additional winding; but they indicate particular cases requiring its use.
Updating technical specifications will allow significant reduction of the costs of these
devices.
KEYWORDS
Autotransformer- winding- Tertiary – Sequence - Homompolar- Earth- Short circuit.
(1) [email protected]
1.
INTRODUCTION
Any electrical network consists of cascades of structures operating at different voltage
level, and interconnected. Thus, energy produced by power plants is delivered to subscribers
through these cascades of structures, while undergoing numerous voltage level adaptations. In
normal diet and balanced operation, network involves only positive sequence of current and
voltage. For cons, in case of unbalanced or faulted diet, all sequence components are involved
in the network.
Transformers must be able to withstand electrical and mechanical stresses generated during
abnormal conditions. Network earth faults are tagged by the zero-sequence component which
is among the most severe constraint applied to power transformers. Indeed, the positive and
negative components of currents will be systematically transferred between networks
connected to transformers. But transfer of zero sequence component of current remains
dependent on transformers vector group and grounding. However, transformers should have a
vector group allowing the transfer of zero sequence current between networks connected to it.
Transformers may include two or three coils operating at different voltage levels; namely
primary, secondary and tertiary winding. Technical specifications of Tunisian Electric Utilities
"STEG" require systematically power autotransformers fitted with tertiary winding delta
connected and sized to one third of rating power of the autotransformer, in one hand. In the
other hand, international standards foresee tertiary winding only for particular applications.
These obvious applications do not correspond to the case of STEG.
This paper aims to understand the use of tertiary winding and determine its appropriateness.
In fact, this winding constitutes an unjustified over-cost and affects "STEG" network
performance and reliability; as it increases single phase short circuit.
2. ASSESSMENT OF THE NEED OF TERTIARY WINDING
In the following, we will present the reasons leading to require autotransformers equipped
with tertiary winding, on the one hand. On the other hand, we will check if these reasons are
applicable to autotransformers already in operation and those to be installed on the
transmission network of STEG.
2.1 Cases of autotransformers requiring a tertiary winding
The autotransformer presents the specificity of common neutral between its primary and
secondary coils; therefore the problem of transferring homopolar current does not arise.
Power Transformers have to be provided with tertiary winding, delta connected, to match
following requirements:
 To feed with electrical energy an auxiliary transformer or a bus-bar connected to a
medium voltage distribution network,
 In cases of transformer cannot insure transferring homopolar current, under Ampereturn balance, additional delta connected equalizer winding will be required. This
tertiary winding will serve to constitute a path to homopolar current (Fig. 1).
This situation concerns only YNy or Yyn transformer. If the homopolar current is not
transferred under Ampere turn balance "Fig. 2,", the zero sequence voltage, developed in
network, will be fully applied to the magnetization branch of transformer, resulting in an
excessive heating ; due to homopolar fluxes flowing through the transformer tank.
Fig1. Transfer of homopolar current
Fig.2. Homopolar current being not transferred
2

To allow the feeding of a high-voltage single-phase load connected to a transformer
having a vector group : Yyn or YNy. Only in this case, the tertiary must be sized to one
third of the power of transformer [1]. The single phase load involves the three sequence
components of current with same RMS value. If the transformer is not equipped with
tertiary winding, the zero sequence current won't be compensated, thereby leading to
prevent the flow of load current " Fig. 3,". Added tertiary winding provides a path to
zero-sequence current and only positive and negative sequence current will be
transferred between networks through transformer.
 Reduce the zero sequence impedance of the connected system and thereby its earth
fault factor. A consequence is that prospective earth fault current increases. The
autotransformer zero sequence impedance is represented by Figures " Fig. 4a," and "
Fig. 4b,", respectively with and without tertiary winding [2], [3] and [4].
Z12, Z23, Z13 designate series impedance respectively between primary-secondary,
secondary-tertiary and primary-tertiary windings













As result, autotransformer zero sequence impedance is equal to : Z12 or 0.92*Z12, respectively
for the cases of autotransformer with or without tertiary winding. Hence the presence of the
tertiary winding reduces the zero-sequence impedance with approximately 8%.
2.2 Case of STEG network
The STEG transmission network is made of interconnected grids operating at different
voltage levels: 400 kV, 225 kV, 150 kV and 90 kV. Grids interconnection is achieved by autotransformers having a common neutral between primary and secondary windings.
Consequently, the whole sequence components of current, including the zero sequence one, are
transferred between grids.
As for medium-voltage networks, it's supplied by HV/MV power transformers having a vector
group: YNd11. As consequence, only positive and negative components of current are
ILoad1=0
Single phase
Load
I’Load=0
Id=Ii=Io=ILoad1/3
Fig. 3. Case of feeding single phase HV load
a) Without tertiary
b) With tertiary
Fig. 4. Homopolar impedance of autotransformer
3
transferred from distribution network to transmission one. Unlike positive and negative
sequence components, the zero-sequence current wont never be transferred to the transmission
network ; Indeed it's trapped through an earthing transformer designed to create the MV
artificial neutral.
The HV/MV transformers have the particularity to be represented in homoplar mode with
their short circuit impedance, during transmission network ground fault. Thus, they ensure the
transfer of homopolar currents, under ampere-turns balance, between networks connected to
autotransformers.
To justify the need of tertiary, for the case of STEG network, we will check if any of the
requirements mentioned above is expressed:
 Transfer of Homopolar current: Case of autotransformers without tertiary winding. The
single line diagram of figure " Fig. 5," represents an autotransformer not equipped with
tertiary winding and connected to transmission network
This scheme shows that the autotransformers can transfer homopolar currents between the
networks to which they are connected. This is due to the transformers specificity HV/MV, who
presents their short circuit impedance during homopolar mode.
Besides distribution networks 30, 15 and 10 KV are fed by HV/MV transformers having
group vector: YNd11. This type of transformers ensures transferring of homopolar currents
between the networks connected to autotransformers. However, they substitute tertiary
winding, from this point of view.
 Feeding external networks
In trial to do not impede normal operation of autotransformers, by distribution network
outages, STEG has opted to discern between HV and MV networks. However, STEG does
never uses autotransformers tertiary winding to supply MV bus-bars.
 Case for supplying a high voltage single phase load
Transformers Yyn, neither YNy are never used in transmission network. But only
transformers YNy type are used in power plants as ultimate solution for auxiliaries supply
and are equipped with equalizer winding.
Furthermore, auto-transformers are characterized by a common neutral between primary
and secondary coils. Hence, they are treated as YNyn transformers "Fig. 6," Consequently,
autotransformers can be used to supply a high voltage single phase load, without any
recourse to the tertiary winding.
∑фi< 3фo
J0/kT
I0’
I0
I0’
I0
I0
I0’
j0
j0
j0
V0
Fig. 5 Case of autotransformers without tertiary winding
4
Fig. 6 Single phase load supplied by autotransformer not equipped with tertiary winding
10,0% Single phase short circuit current variation (%)
Zo=3Zd
8,0%
6,0%
Zo=Zd
4,0%
2,0%
Zo=0.5Zd
HV Network short circuit power "Scc/Sn"
0,0%
5
10
15
20
25
30
35
40
Fig 7. Simulation of tertiary winding effect on single phase short circuit current
Effect on short circuit current level: Results of short circuit current simulation [5], with and
without tertiary, are illustrated in Figure 7.
Simulations were performed for a network short-circuit power; within a range from 5 to 41
times the rated power of the autotransformer, and network’s zero sequence impedance ranging
from 0.5 to 3 times its direct impedance.
These results show that increasing of short circuit current, by adding tertiary winding,
cannot exceed 9%, in case of a low source impedance ratio; i.e. a source characterized by
lower short circuit, and a zero-sequence impedance around three times its direct impedance.
For the case of interconnected networks of STEG, the effect of adding tertiary winding on
increasing single phase short circuit current, cannot exceed 3%; despite it generates a reduction
on zero sequence impedance of the autotransformer of 8%
It should be noted that single phase short circuit current occurring in transmission network,
has already exceeded the maximum tolerated limit value. for instance, at Goulette substation,
single phase earth fault current has reached 47,4 kA during outage occurred at autotransformer
(Fig. 8a); thus generating damage of material (Fig. 8b), designed to withstand 25 kA
3.
BENSHMARKING AND FAISABILITY
The objective is to compare our technical decision with other global companies; to be
inspired and reassured
This comparison allows awareness regarding best practices, and helps for its adaptation.
TABLE I lists companies around the world, already using autotransformers without tertiary
Table I. References of using autotransformer without tertiary winding
Operator
ONE
STADTWERKE FLENSBURG
ELECTROSUL
ISA
CDE
CLEMESY/KYRGHYSTAN
Country
MAROC
GERMANY
BRASIL
COLOMBIA
DOMINIC REPUBLIC
KYRGYSTAN
TNB and SARAWAK
QVC
NPC and HYUNDAI
DEWA
MALYZIA
QATAR
PHILIPPINE
UAE
Operator
GECOL
TEAŞ & TEK
INGENDESA
ICE
EELPA
EURO TECHNO
LIMITED
UNION FENOSA
WAPDA
PC2 and EVN
Country
LYBIE
TURKEY
CHILIE
COSTA RICA
ETHIOPIA
KYRGYSTAN
SPAIN
PAKISTAN
VIETNAM
5
a)
b)
Fig. 8. GOULETTE substation
a) Recorded short circuit current
b) Damaged 90kV bushing and lightning arrestor
4.
EXPECTED GAIN VERSUS RISK
From financial point of view, avoiding additional tertiary windings, prevents STEG
treasurer a waste of one million Euros; it looks around two million of dinars.
Extension of requiring tertiary winding, over the past decades, may lead someone to
suspect that its elimination will generate risks. For this, we propose to compare the expected
gain to likely risk. Table II shows barrier ensuring that cumulated weighted cost of risk
remains less than the expected gain. Discounting rate and accounting life are respectively
6,21% and 25 years.
No risk can be attributed to the lack of tertiary; consequently its elimination is estimated 124 thousand
dinars perpetuity
Table II. Barrier of Annual risk cost favoring elimination of tertiary winding
Probability of
Barrier of Annual risk cost
occurrence: P(Rn)
P(Rn)*R(kDT)
100%
160
90%
177
80%
199
70%
228
60%
266
50%
319
40%
399
30%
532
20%
798
10%
1 596
5. CONCLUSION
This work shows that the autotransformers to be installed on STEG transmission network
do not require any tertiary winding ; for the following reason:
 The transfer of homopolar currents, through autotransformer, is ensured by HV/MV
transformers; characterized by their vector group YNd11,
 Only transformers having vector group YNy or Yyn, and at a time supplying single
phase high voltage level, require a tertiary winding sized to one third of their rating
power. Such kind of transformer is not used in STEG transmission network
6

Single phase short circuit current level has exceeded the maximum allowable limits;
generating however significant damage on transmission network equipment.
Consequently, no additional tertiary winding has to be foreseen, for future
autotransformer; to prevent increasing improperly short circuit current. Indeed, it is
rather timely to act for reducing the single-phase fault current level,

Distribution networks is not supplied from tertiary winding ; in
order to
prevent
impeding STEG transmission network operation, resulting from medium voltage equipment
failures.
Moreover, the unfounded requirement of tertiary winding generates an unjustified
additional cost; estimated at slightly more than two million dinars, for the twelfth equipment
plan where 6 new autotransformers are foreseen.
BIBLIOGRAPHY
[1] IEC International Standard 'Power Transformers - Application guide' IEC 60078-8-1997.
[2] Dalibor Filipovic, Bozidar Filpovic, Kosyenko Capuder, "Modeling of three-phase
autotransformer for short-circuit studies", International Journal of Electrical Power
Energies Systems, Volume 56, March 2014,page 228-234. Elseiver.
[3] G.A.CIVI djian, Gh calin, Dorin Papa, Alin Dolan, "Impedance voltage of power multiwinding autotransformer", Plovdiv. Siela 2005.doc
[4] Vladimir Volcko, Zaneta ELESCHOVA, Anton Belan, Peter Janiga, Dominik Viglas,
Mikroslava Smikkova, "Modeling of power autotransformer" Recent advances in energy,
environement and economic development”, ISSBN. 978-1-61817-138-5.
[5] Liu Jingyan, Liu Wenying, and Li Xiaorong, "Method for restricting GridbSingle-phase
Short Circuit Current", International Journal of Computer and Electrical Engineering,
Vol.5, N°2, April 2013.
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