Receiving-End Power

\[P_r=V_r I_r \cos(\phi)\]

Variables

Prreceiving-end real power (W)

Vrreceiving-end voltage (V)

Irreceiving-end current (A)

PFpower factor

Description

What is this formula?

The receiving-end power equation calculates the real power delivered to the load at the receiving end of a transmission line.

When to use it

Use this formula when analyzing transmission line performance, load delivery capability, voltage regulation, power flow, and electrical system efficiency.

Example

A transmission line delivers:

Receiving-end voltage = 13800 V

Receiving-end current = 200 A

Power factor = 0.90

Formula:

Pr = Vr × Ir × PF

Substitution:

Pr = 13800 × 200 × 0.90

Result:

Pr = 2,484,000 W

Pr = 2.484 MW

Applications

Transmission line studies

Power flow analysis

Substation design

Load delivery calculations

Electrical network planning

Receiving station evaluation

Note

This equation calculates single-phase real power. For balanced three-phase systems, the more common expression is P = √3·VL·IL·PF. The receiving-end power depends on voltage level, current, power factor, and transmission line losses.