If a 50 MVA transformer is receiving 30 MW, how many MVARS could flow through it without exceeding limits?

In this scenario, understanding the relationship between megawatts (MW) and megavars (MVAR) in a transformer is key. A 50 MVA transformer indicates its maximum apparent power capacity is 50 MVA. Apparent power is the combination of real power (MW) and reactive power (MVAR) and is calculated using the formula:

[ \text{S}^2 = \text{P}^2 + \text{Q}^2 ]

Where:

• ( S ) is the apparent power in MVA,

• ( P ) is the real power in MW, and

• ( Q ) is the reactive power in MVAR.

When the transformer is receiving 30 MW (real power), we need to determine how much MVAR (reactive power) can flow without exceeding the 50 MVA limit.

Calculating the maximum reactive power (Q) that can be accommodated:

1. First, the apparent power S should not exceed 50 MVA.

2. Using the known values, we can rearrange the power equation:

[ Q = \sqrt{S^2 - P^2} ]

3. Plugging in the values: