GATE Civil 2024 Set 1 | GA | Question: 8

Question

The chart given below compares the Installed Capacity (MW) of four power generation technologies, $\text{T}1, \text{T}2, \text{T}3$, and $\text{T}4$, and their Electricity Generation (MWh) in a time of $1000$ hours (h).

The Capacity Factor of a power generation technology is:
\[
\text { Capacity Factor }=\frac{\text { Electricity Generation (MWh) }}{\text { Installed Capacity (MW) } \times 1000(\mathrm{~h})}
\]

Which one of the given technologies has the highest Capacity Factor?

 

• A. $\text{T}1$
• B. $\text{T}2$
• C. $\text{T}3$
• D. $\text{T}4$

Answer 1

Capacity Factor $(T_1) = \dfrac{\text{Electricity Generation }(T_1)}{\text{Installed Capacity }(T_1) \times 1000} = \dfrac{10000}{20 \times 1000} = \dfrac{1}{2} = 0.5$

Capacity Factor $(T_2) = \dfrac{\text{Electricity Generation }(T_2)}{\text{Installed Capacity }(T_2) \times 1000} = \dfrac{9000}{30 \times 1000} = \dfrac{3}{10} = 0.3$

Capacity Factor $(T_3) = \dfrac{\text{Electricity Generation }(T_3)}{\text{Installed Capacity }(T_3) \times 1000} = \dfrac{7000}{15 \times 1000} = \dfrac{7}{15} \approx 0.47$

Capacity Factor $(T_4) = \dfrac{\text{Electricity Generation }(T_4)}{\text{Installed Capacity }(T_4) \times 1000} = \dfrac{12000}{40 \times 1000} = \dfrac{3}{10} = 0.3$

So, $T_1$ has the higest capacity factor among all power generation technologies.

Comments

Is there any speciific reason why you divived the installed capacity by 2?

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@chetan-naik where he divided it by $2$

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Ohh sorry, I misread the graph!