Q11 (a) An industrial load with an annual maximum demand of 20 MW is supplied by two generators having an installed capacity of 15 MW each. The load fact load factor of the industrial load is 70 %. (i) Calculate the utilization factor and briefly explain its significance. (i) The annual electrical energy consumption of the industry in GWh. (b) The fuel cost in £ per hour of two generating units in a power plant are as follows: F1 = 0.04P? + 2P1 + 250 F2 = 0.02P + 3P2 + 450 Where P, and P, are in MW. The total power supplied by the plant is 275 MW. (1) determine the power supplied by each generator for optimal power dispatch. Determine the fuel cost each unit in £ per hour. (c) A wind turbine with a diameter of 90 m is installed at a location where the mean wind speed is 7.5 m/s. The density of air is 1.25 kg/m³. The coefficient of performance C, is 0.47. Calculate mean power generated by the wind turbine.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.19P
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Q11 (a)
An industrial load with an annual maximum demand of 20 MW is supplied by two
generators having an installed capacity of 15 MW each. The load fact load factor
of the industrial load is 70 %.
(i)
Calculate the utilization factor and briefly explain its significance.
(i)
The annual electrical energy consumption of the industry in GWh.
(b)
The fuel cost in £ per hour of two generating units in a power plant are as follows:
F1 = 0.04P? + 2P1 + 250
F2 = 0.02P? + 3P2 + 450
Where P, and P, are in MW. The total power supplied by the plant is 275 MW.
(i)
determine the power supplied by each generator for optimal power
dispatch.
(ii)
Determine the fuel cost each unit in £ per hour.
(c)
A wind turbine with a diameter of 90 m is installed at a location where the mean
wind speed is 7.5 m/s. The density of air is 1.25 kg/m³. The coefficient of
performance C, is 0.47. Calculate mean power generated by the wind turbine.
Transcribed Image Text:Q11 (a) An industrial load with an annual maximum demand of 20 MW is supplied by two generators having an installed capacity of 15 MW each. The load fact load factor of the industrial load is 70 %. (i) Calculate the utilization factor and briefly explain its significance. (i) The annual electrical energy consumption of the industry in GWh. (b) The fuel cost in £ per hour of two generating units in a power plant are as follows: F1 = 0.04P? + 2P1 + 250 F2 = 0.02P? + 3P2 + 450 Where P, and P, are in MW. The total power supplied by the plant is 275 MW. (i) determine the power supplied by each generator for optimal power dispatch. (ii) Determine the fuel cost each unit in £ per hour. (c) A wind turbine with a diameter of 90 m is installed at a location where the mean wind speed is 7.5 m/s. The density of air is 1.25 kg/m³. The coefficient of performance C, is 0.47. Calculate mean power generated by the wind turbine.
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