What is the approximate line charging contribution of a 230 kV transmission line that is 100 miles long?

To determine the approximate line charging contribution of a 230 kV transmission line that is 100 miles long, it's important to understand the concept of line charging and how it relates to the characteristics of high-voltage transmission lines.

In high-voltage transmission systems, line charging refers to the reactive power (measured in MVAR) that is supplied by the capacitance of the transmission line. This capacitive effect becomes more significant at higher voltages. For a 230 kV line, a common approximation used in power systems is that the line charging is typically around 0.3 to 0.5 MVAR per mile.

Calculating the line charging contribution:

1. Using the average approximation of around 0.3 to 0.5 MVAR per mile for a 230 kV line, we can find the total contribution of a 100-mile line.

2. Multiplying 100 miles by 0.3 MVAR/mile gives 30 MVAR, and multiplying by 0.5 MVAR/mile gives 50 MVAR.

3. The value of 30 MVAR aligns well with common assumptions for charging contributions at this voltage level and line length.

Thus, arriving at 30 MVAR