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The linear yearly energy consumption started at 2260 MW, increased to 3630 MW at the first half of the year, and then decreased to 2450 MW. If the installed capacity is 3700 MW, find the load factor.

Answer :

The load factor is a measure of the average power consumed compared to the maximum power available. In this case, the load factor can be calculated using the total energy consumed and the installed capacity. The load factor is found to be approximately 80.81%.

The load factor is a measure of the average power consumed, relative to the maximum power available. It is calculated by dividing the total energy consumed by the installed capacity and multiplying by the time period. In this case, the total energy consumed can be calculated by finding the area under the power-time graph, which can be divided into two parts: the area of the rectangle representing the constant power consumption at 3630 MW, and the area of the triangle representing the increasing and decreasing power consumption.

Let's calculate the total energy consumed:

  1. Area of the rectangle: 3630 MW * 0.5 year = 1815 MWh
  2. Area of the triangle: (2260 MW + 2450 MW) * 0.5 * 0.5 year = 1175 MWh

Total energy consumed = 1815 MWh + 1175 MWh = 2990 MWh

Now, let's calculate the load factor:

Load factor = Total energy consumed / (Installed capacity * Time period)

Load factor = 2990 MWh / (3700 MW * 0.5 year) = 0.8081 or 80.81%

Learn more about load factor here:

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