Transformers are rated in kilovolt-amperes (kVA) rather than kilowatts (kW) primarily because their rating is based on the apparent power rather than the real power. Here’s a detailed explanation:
### **1. Apparent Power vs. Real Power**
- **Apparent Power (kVA):** This is the total power flowing through the transformer, which includes both real power and reactive power. It is calculated as \( V \times I \), where \( V \) is the voltage and \( I \) is the current.
- **Real Power (kW):** This is the actual power consumed by the load and is the component of apparent power that performs useful work. It is given by \( P = V \times I \times \cos(\phi) \), where \( \phi \) is the phase angle between the voltage and current.
### **2. Transformer Design and Ratings**
- **Independence from Load Power Factor:** The power factor (PF) of the load connected to the transformer can vary. This variation affects the real power (kW) but not the apparent power (kVA). Transformers are designed to handle a certain amount of apparent power regardless of the load's power factor. Therefore, specifying the transformer rating in kVA provides a standard measure of its capability without having to account for varying load conditions.
- **Heat Dissipation:** Transformers generate heat based on the current flowing through them, which is a function of apparent power. The design and cooling of a transformer are based on the total current (apparent power) rather than the real power. Therefore, it is more practical to rate the transformer in terms of kVA, as this directly relates to its thermal capacity and overall design.
### **3. Load Power Factor Consideration**
- **Power Factor Influence:** When you specify a transformer in kVA, it is essential to understand the load's power factor to determine the actual real power it can handle. For example, a 100 kVA transformer with a power factor of 0.8 can supply up to 80 kW of real power.
### **4. Consistency in Rating**
- **Uniformity:** Using kVA for transformer ratings ensures consistency across different applications and conditions. Since kVA does not depend on the power factor, it provides a uniform measure of the transformer's capacity.
### **Summary**
Transformers are rated in kVA because this rating reflects their ability to handle a combination of real and reactive power, independent of the load’s power factor. This simplifies the specification and ensures the transformer can be used across various applications with different power factors without needing to adjust its rating.