# Load Factor Formula

Load factor (LF) is defined as the ratio of average load to the maximum demand for a given period of time. Just like demand factor, the load factor is smaller than 1. LF can be defined on the basis of daily, monthly or yearly basis.

## Load factor formulas

List of Formulas
Average load / Maximum demand
LF =
Units generated in time t (hours) / Maximum demand * t hours
Daily LF =
Units generated in day / Maximum demand * 24 hours
Monthly LF =
Units generated in month / Maximum demand * 720 hours
Yearly LF =
Units generated in 1 year / Maximum demand * 8760 hours

where

1 day = 24 hours

1 month = 720 hours

1 year = 8760 hours

## Calculation Examples

Daily LF is a ratio of units generated in a day to MD * 24 hours.

Example 1: The average load (AL) on a certain coal powered station is 3 MW. The MD is 5 MW. Find the LF.

Solution: LF = AL/MD = 3 / 5 = 0.6 = 60%

Example 2: The maximum demand on a thermal power station is 20 MW. The station generates 312 MW in 24 hours. Find the daily LF

Solution: Daily LF = [312 MW]/[20 MW * 24 hours] = 0.65 or 65%

Annual load factor is defined as the units generated per year to maximum demand.

Example 3: A nuclear power station has MD of 50 MW. The station generates 300 * 106 kWh annually. Calculate the load factor.

Solution: 300 * 106 kWh  = 300 * 103 kWh

LF = [300 * 103]/[50 MW * 8760] = 0.68 = 68%