Hi cmarnix;
Wye/Delta Transformer problems.
This will be in several parts, which may be in the following order;
1> The % impedance voltage of a transformer and how it affects the currents in paralleled transformers when the voltages are not equal.
2> Circulating currents in Wye/Delta Transformer Banks
3> Different problems arising from Wye/Delta connections, and causes of unbalanced voltages.
4> Coments on Delta/Wye connections.
5> Systems that work, and why they work.
6> Some history.
Transformer connections; Open/Delta, Broken/Delta.
1> The % impedance voltage of a transformer and how it affects the currents in paralleled transformers when the voltages are not equal.
Definitions for this discussion.
Primary; The transformer winding that receives power in.
Secondary, The transformer winding that delivers power out.
Note; If a distribution transformer is used in reverse as a step-up transformer, then I consider the low voltage winding as the primary and the high voltage winding as the secondary.
Note; Wye/Delta = Wye connected primary, Delta connected secondary.
Delta/Wye = Delta connected primary, Wye connected secondary.
Example
We will start with an infinite transformer. That is, a transformer large enough and efficient enough that we can neglect it’s losses and voltage drops.
We will parallel this with a transformer of the same voltage ratings.
We will change the open circuit terminal voltages of one or both transformers with the voltage adjusting taps and see what happens.
Ratings; One transformer is infinite, so the kva of the other is unimportant for now. For now we will use % Impedence voltage and % of full load current.
Taps; We will specify taps at +2.5%, +5%, -2.5%, and -5%
% impedance voltage. The last few transformers I checked had a % impedance voltage of 2.7% . I have seen ratings as high as 7%.
For this example we will spec the % Impedance voltage at 2.5%. We may later do some checks at other % impedance voltages.
As you know, % Impedance voltage is an expression or measurement of the voltage that must be applied to the primary of a transformer to cause 100% rated current to flow in the secondary. Also, the % impedance voltage is the voltage drop of a transformer from no load to full load.. It is also used in some short circuit calculations to determine the available fault current. (Symetrical) Full load current / % impedance voltage = available symmetrical fault current. We have a code requirement that service equipment be rated for the available fault current. This was the method accepted by the inspection branch.
Example. 50 KVA, 240 Volt = 8333 amps. Available fault current. Service equipment would have to be rated in excess of this value.
Another handy feature of % impedance voltage is that unequally sized transformers with equal % impedance voltages may be paralleled and will share the load in proportion to their KVA ratings. Someday ask me about the calculations for paralleling transformers with unequal % impedance voltages, but first let’s finish Star/Delta.
Another interesting point is that if a transformer is re-rated, as for instance by adding cooling fans, the % impedance voltage changes. The explanation, If the KVA rating is changed then the full load current rating is changed. If the rated current is increased, then it will take a greater percentage of rated line voltage to cause the increased, rated current to flow in a short circuit.
Now we will connect the transformers in parallel. The voltages are equal, so there will be no circulating current. Now we will set the tap changer to -2.5%.
With a difference of 2.5% voltage, full load current will circulate in the transformers. No we will change the tap to +2.5% Still full load current circulating, but in the opposite direction. Now let’s go to 5% tap setting. Now we have 200% of full load current circulating between the transformers. The primary fuses of distribution transformers are typically 250% to 300% or higher to allow for inrush currents. The fuses cannot be expected to clear a distribution transformer at 200% load.
Please note, this is an example and I am using type K fuses, not the more expensive dual element or time delay fuses. Also, the government power utility in this country uses only type K fuses. (Plain and simple, the cheapest available).
If we use a transformer with 5% impedance voltage, the current becomes 50% at the 2.5% tap and 100% at the 5% tap.
A transformer with 7% or 7.5% impedance voltage will be even more forgiving.
However, the lower the % impedance voltage, the less voltage drop under load and the higher efficiency. Also the point of this is to avoid Star/Delta connections, not how to live with them,.
Now lets put two equal transformers in parallel. We are back to 2.5% impedance voltage. Now the circulating current must flow through both transformers so the % impedance voltages of both transformers must be added. It’s easier for me to visualize the currents first. If we have 100% current circulating, then the voltage drop or rise of the transformers must equal the impedance voltages. So one transformer has a drop of 2.5% and the other has a rise of 2.5%. Total percent impedance voltage 2.5% + 2.5% = 5%
Taps +2.5%, -2.5% for a difference of 5%. (If you think that +2.55 and –2.5% = 0 then just use one 5% tap and leave the other transformer on the 100% tap)
A voltage difference of 5% now causes full load current to flow.
Now it is not usual to have two transformers on the same phase with unequal voltages. Without the taps, we would have to do this example with some sort of variable voltage feeding one of the transformers. In the real world this may have an application as a warning to check the voltages and taps when paralleling transformers, but how often are distribution transformers paralleled any way.
However, and notwithstanding, when we move from single phase to three phase, several things change. The most important is that we now have (On a Star system) three independent but related sources of power that are nominally of equal voltage, but in fact are sometimes not equal.
In the next post, we’ll look at circulating currents in a Star/Delta Bank.
When we get to the systems that work I will comment on
craft (Electrical) 10 replies 8 Jan 06 (6 Jan 06) corner grounded Delta system