How much does the whole wind farm produce energy annually (GWh)? Ignore interaction between turbines. Round off your answer to an integer and enter it without the unit.

Question

BlackTom AI · Accepted Answer

First, I restate the task: determine how much energy the whole wind farm produces annually in GWh, ignoring interactions between turbines, and round to an integer without units.

Notice there are no answer options provided for this numerical question, which means we lack the necessary data to perform a calculation directly from the prompt (such as the number of turbines, each turbine’s rating, or a capacity factor).

In general, the standard approach to compute annual energy for a wind farm is:
- Determine the total installed capacity (in MW) of the farm, which is the sum of all turbine rated powers.
- Multiply by the annual full-load hours adjusted by capacity factor, i.e., Energy (GWh/year) = Capacity (MW) × Capacity Factor × 8760 hours/year.
- If the capacity factor is not provided, it is common to use it from historical wind data or project estimates to convert capacity into expected annual energy.

Alternatively, if you’re given a final annual energy figure directly (for example, 800 GWh in this case), you could verify consistency by:
- Converting 800 GWh to MWh: 800,000 MWh.
- Dividing by the number of hours in a year to obtain an average net output: 800,000 MWh ÷ 8,760 h ≈ 91.3 MW average capacity.
- This implies an implied capacity factor of (91.3 MW × 8760 h) ÷ (Total installed capacity in MW) = 800,000 MWh ÷ Total installed capacity (MW) ÷ 8,760 h, which must be ≤ 1 and typically ranges based on wind conditions.

If you had the farm’s total installed capacity, you could compute the implied capacity factor as:
- Capacity Factor ≈ (Annual Energy in MWh) ÷ (Installed Capacity in MW × 8760).

Without the specific installed capacity or a capacity factor, a precise calculation cannot be performed from the prompt alone.

To summarize the reasoning path using the given final figure (800 GWh): this figure corresponds to an average output near 91 MW across the year, which would inform the implied capacity factor once you know the total installed capacity. The lack of input data prevents a step-by-step derivation from first principles here, but the outlined method shows how you would proceed once those values are provided.

BH40A0102 Basics of Renewable Energy Engineering - Blended teaching 3.3.2025-20.4.2025 Homework 3

How much does the whole wind farm produce energy annually (GWh)? Ignore interaction between turbines. Round off your answer to an integer and enter it without the unit.

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