Generating Power Stations – GATE EE Power SystemsPractice Questions & PYQs

Let's define: Unit 1 outputs: At 10,000 Rs./MWh → $P_1 = 50\ \text{MW}$ At 10,600 Rs./MWh → $P_1 = 80\ \text{MW}$ Unit 2 outputs: At 10,000 Rs./MWh → $P_2 = 80\ \text{MW}$ At 10,600 Rs./MWh → $P_2 = 92\ \text{MW}$ We are to find outputs at 11,800 Rs./MWh using extrapolation for both units (assuming linearity of power vs incremental cost curve). Step 1: Find slope of output with respect to cost for each unit Unit 1 slope: $\frac{80 - 50}{10,600 - 10,000} = \frac{30}{600} = 0.05\ \text{MW per Rs./MWh}$ Unit 2 slope: $\frac{92 - 80}{10,600 - 10,000} = \frac{12}{600} = 0.02\ \text{MW per Rs./MWh}$ Step 2: Extrapolate to 11,800 Rs./MWh Cost increase: $11,800 - 10,600 = 1,200\ \text{Rs./MWh}$ Unit 1 output: $P_1 = 80 + (0.05)(1200) = 80 + 60 = 140\ \text{MW}$ (but Unit 1 is rated for 100 MW max \Rightarrow limit to 100 MW) Unit 2 output: $P_2 = 92 + (0.02)(1200) = 92 + 24 = 116\ \text{MW}$ (but Unit 2 is rated for 150 MW \Rightarrow no limit hit) Step 3: Total Output $P_{\text{total}} = 100 + 116 = \boxed{216\ \text{MW}}$ Final Answer: $\boxed{216}$

For optimal dispatch, $\mathrm{IC}_{1}=\mathrm{IC}_{2}$ $0.2 \mathrm{aP}_{\mathrm{G}_{1}}+40=0.4 \mathrm{P}_{\mathrm{G}_{2}}+30$ Given :

Economic scheduling, $\mathrm{P}_{\mathrm{G}_{1}}+\mathrm{P}_{\mathrm{G}_{2}}=290 \mathrm{MW}$ Now, if a increases by $10 \%, \mathrm{P}_{\mathrm{G}_{1}}$ should be decreases and total cost of generation increases.

Currently no explanation available

Pumped storage plants and diesel stations supply power during peak loads. NOTE: Base load-plant (i) Low operating cost (ii) Capability of working continuously long period.

Kaplan is used for run-of-river and poundage stations with heads of upto 70 m (low head). This type has an axial-flow rotor with variable-pitch blades.

NOTE: Condenser : The function of condenser are (i) To provide vaccum at outlet of steam turbine. (ii) To condense the steam ams pass on the condensate to boiler feed. Super heater is a device used to convert saturated steam or wet steam into dry steam used for power generation process.