There are few operating limitations that make transformer far from ideal. Generally, some of transformer operating limitations can be minimized, but not in total, never in total.
Let’s talk about these limitations.
- Transformer losses (Heat)
- Copper (or winding) losses
- Iron (or core) losses
- Transformer temperature limitations
- Current limits
- Voltage and frequency limits
The thermal ratings of a transformer are determined by the following three factors:
- The amount of heat produced inthe windings and connections
- The amount of heat produced in the iron core
- How effectively the heat can be removed from the transformer when the thermal rating of the transformer is reached.At this point, the heat being produced must equal the heat being removed or dissipated – thermal equilibrium.
The efficiency of power transformers is high, especially, for large transformers at full load. However, losses are present in all transformers. These losses may be classified as copper or I2R losses and core or iron losses.
Copper losses are resistive and proportional to load current and are sometimes called “load losses” or “I2R losses”. As the transformer is loaded, heat is produced in the primary and secondary windings and connections due to I2R. At low loads, the quantity of heat produced will be small but as load increases, the amount of heat produced becomes significant.
At full load, the windings will be operating at or near their design temperature.
Figure 1 shows the relationship between load-current and the heat produced in transformer windings and connections.
The iron loss is due to stray eddy currents formed in the transformer core. As you probably know, lines of flux are formed around the current-carrying conductors. The majority of the flux is as indicated in the following Figure 2, flowing around the core.
Some of the flux however, will try to flow at angles to the core and will cause eddy currents to be set up in the core itself. The term eddy is used because it is aside from the main flow. To combat this effect, the core is laminated as illustrated in Figure 2.
The laminations provide small gaps between the plates. As it is easier for magnetic flux to flow through iron than air or oil, stray flux that can cause core losses is minimized.
Some of the flux however, will try to flow at angles to the core and will cause eddy currents to be set up in the core itself. The term eddy is used because it is aside from the main flow. To combat this effect, the core is laminated as illustrated in Figure 3. The laminations provide small gaps between the plates.
As it is easier for magnetic flux to flow through iron than air or oil, stray flux that can cause core losses is minimized.
For dry (air-cooled) transformers (that normally have their windings insulated with silicone resin), a temperature limit of 155°C is usually imposed. Allowing air to circulate through the windings and over the core cools these transformers. Assuming a maximum ambient temperature of 40°C, then the temperature rise is limited to 155° – 40° = 115°C.
For oil-insulated transformers, there is usually a measurement of oil temperature and winding temperature provided. The simulated winding temperature is called hot-spot. It is derived by passing a representative amount of load current through a resistor located in the oil and measuring the resulting temperature (see Figure 4).
Note // The oil and hot spot temperatures are very important to be monitored. If sufficient cooling is not available the transformer load will have to be reduced.
Current has two direct effects on the transformer:
- It produces heat in the windings of the transformer as we have just discussed above.
- It produces a voltage drop across the output winding proportional to the load current. As the transformer is loaded, the secondary voltage will fall due to the affects of winding resistance and reactance.
We have previously discussed how the operating voltage and frequency must be kept within rated values due to the physical design (winding insulation and core construction). The subtle effect of these parameters on the overheating of the core is sometimes overlooked.
When any transformer is operating at its rated voltage and frequency, it will be operating with its rated value of flux in the core.
If the voltage rises while the frequency remains constant, or the frequency falls while the voltage remains constant, the core flux will increase. The core will heat up due to the effects of hysterisis and eddy currents in the core.
A voltage increase of 10% above the rated value will give a flux level of 10% above its rated value. From Figure 5, it can be seen that, if the flux level is 10% above normal, the iron has commenced to saturate.
Failure to observe this precaution will cause overheating of the core.
This overheating may cause the insulation which coats each of the laminations to fail, larger eddy currents will flow and extreme heating will follow. This can lead to a core failure, where in extreme cases. There will be melting of the iron laminations.
Reference // Science and Reactor Fundamentals – Electrical CNSC Technical Training Group