| Three-phase transformer circuitsSince 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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