Three-phase transformer circuits
Since three-phase is used so often for power
distribution systems, it makes sense that we would need
three-phase transformers to be able to step voltages up or
down. This is only partially true, as regular single-phase
transformers can be ganged together to transform power
between two three-phase systems in a variety of
configurations, eliminating the requirement for a special
three-phase transformer. However, special three-phase
transformers are built for those tasks, and are able to
perform with less material requirement, less size, and less
weight from their modular counterparts.
A three-phase transformer is made of three
sets of primary and secondary windings, each set wound
around one leg of an iron core assembly. Essentially it
looks like three single-phase transformers sharing a joined
core:
Those sets of primary and secondary windings
will be connected in either Δ or Y configurations to form a
complete unit. The various combinations of ways that these
windings can be connected together in will be the focus of
this section.
Whether the winding sets share a common core
assembly or each winding pair is a separate transformer, the
winding connection options are the same:
-
Primary - Secondary
-
Y - Y
-
Y - Δ
-
Δ - Y
-
Δ - Δ
The reasons for choosing a Y or Δ
configuration for transformer winding connections are the
same as for any other three-phase application: Y connections
provide the opportunity for multiple voltages, while Δ
connections enjoy a higher level of reliability (if one
winding fails open, the other two can still maintain full
line voltages to the load).
Probably the most important aspect of
connecting three sets of primary and secondary windings
together to form a three-phase transformer bank is attention
to proper winding phasing (the dots used to denote
"polarity" of windings). Remember the proper phase
relationships between the phase windings of Δ and Y:
Getting this phasing correct when the
windings aren't shown in regular Y or Δ configuration can be
tricky. Let me illustrate:
Three individual transformers are to be
connected together to transform power from one three-phase
system to another. First, I'll show the wiring connections
for a Y-Y configuration:
Note how all the winding ends marked with
dots are connected to their respective phases A, B, and C,
while the non-dot ends are connected together to form the
centers of each "Y". Having both primary and secondary
winding sets connected in "Y" formations allows for the use
of neutral conductors (N1 and N2) in
each power system.
Now, we'll take a look at a Y-Δ
configuration:
Note how the secondary windings (bottom set)
are connected in a chain, the "dot'" side of one winding
connected to the "non-dot" side of the next, forming the Δ
loop. At every connection point between pairs of windings, a
connection is made to a line of the second power system (A,
B, and C).
Now, let's examine a Δ-Y system:
Such a configuration would allow for the
provision of multiple voltages (line-to-line or
line-to-neutral) in the second power system, from a source
power system having no neutral.
And finally, we turn to the Δ-Δ
configuration:
When there is no need for a neutral
conductor in the secondary power system, Δ-Δ connection
schemes are preferred because of the inherent reliability of
the Δ configuration.
Considering that a Δ configuration can
operate satisfactorily missing one winding, some power
system designers choose to create a three-phase transformer
bank with only two transformers, representing a Δ-Δ
configuration with a missing winding in both the primary and
secondary sides:
This configuration is called "V" or
"Open-Δ." Of course, each of the two transformers have to be
oversized to handle the same amount of power as three in a
standard Δ configuration, but the overall size, weight, and
cost advantages are often worth it. Bear in mind, however,
that with one winding set missing from the Δ shape, this
system no longer provides the fault tolerance of a normal
Δ-Δ system. If one of the two transformers were to fail, the
load voltage and current would definitely be affected.
The following photograph shows a bank of
step-up transformers at the Grand Coulee hydroelectric dam
in Washington state. Several transformers (green in color)
may be seen from this vantage point, and they are grouped in
threes: three transformers per hydroelectric generator,
wired together in some form of three-phase configuration.
The photograph doesn't reveal the primary winding
connections, but it appears the secondaries are connected in
a Y configuration, being that there is only one large
high-voltage insulator protruding from each transformer.
This suggests the other side of each transformer's secondary
winding is at or near ground potential, which could only be
true in a Y system. The building to the left is the
powerhouse, where the generators and turbines are housed. On
the right, the sloping concrete wall is the downstream face
of the dam:
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