Question

The chart below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of 1000 hours (h). \ \includegraphics[width=0.5\linewidth]{43image.png} The Capacity Factor of a power generation technology is defined as: \[ \text{Capacity Factor} = \frac{\text{Electricity Generation (MWh)}}{\text{Installed Capacity (MW)} \times 1000 \, \text{(h)}} \] Which one of the given technologies has the highest Capacity Factor?

• A. T1
• B. T2
• C. T3
• D. T4

Hint:

Capacity Factor indicates the efficiency of a power generation technology. A higher Capacity Factor implies better utilization of the installed capacity.

Answer 1

The Correct Option is A

Step 1: Analyze the given data. From the chart: Installed Capacity of T1 = 20 MW, Electricity Generation of T1 = 12000 MWh. Installed Capacity of T2 = 30 MW, Electricity Generation of T2 = 9000 MWh. Installed Capacity of T3 = 40 MW, Electricity Generation of T3 = 8000 MWh. Installed Capacity of T4 = 50 MW, Electricity Generation of T4 = 7000 MWh. Step 2: Calculate Capacity Factor for each technology. Using the formula: \[ \text{Capacity Factor} = \frac{\text{Electricity Generation (MWh)}}{\text{Installed Capacity (MW)} \times 1000} \] For T1: \[ \text{Capacity Factor} = \frac{12000}{20 \times 1000} = 0.6 \, (60\%). \] For T2: \[ \text{Capacity Factor} = \frac{9000}{30 \times 1000} = 0.3 \, (30\%). \] For T3: \[ \text{Capacity Factor} = \frac{8000}{40 \times 1000} = 0.2 \, (20\%). \] For T4: \[ \text{Capacity Factor} = \frac{7000}{50 \times 1000} = 0.14 \, (14\%). \] Step 3: Compare the Capacity Factors. The Capacity Factors are: \[ \text{T1: } 60\%, \quad \text{T2: } 30\%, \quad \text{T3: } 20\%, \quad \text{T4: } 14\%. \] The highest Capacity Factor is for T1, with \( 60\% \). Conclusion: The technology with the highest Capacity Factor is T1.