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The machine in the following figure acts as a turbine during daytime to produce electricity and as a pump during night time to move water back to the reservoir with higher elevation. For a design flowrate of 33 ft3/s in either direction the headloss is 17 ft. Estimate power (W = yQh,) (a) extracted by the machine as a turbine; (b) delivered by the pump. Z 150 ft aler at 20C Pump- Turbine Z,-25

The machine in the following figure acts as a turbine during daytime to produce electricity and as a pump during night time to move water back to the reservoir with higher elevation. For a design flowrate of 33 ft3/s in either direction the headloss is 17 ft. Estimate power (W = yQh,) (a) extracted by the machine as a turbine; (b) delivered by the pump. Z 150 ft aler at 20C Pump- Turbine Z,-25

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Problem Statement:** The machine in the following figure acts as a turbine during daytime to produce electricity and as a pump during nighttime to move water back to the reservoir with higher elevation. For a design flowrate of 33 ft³/s in either direction, the headloss is 17 ft. Estimate power (\( W = \gamma Q h_s \)): (a) extracted by the machine as a turbine; (b) delivered by the pump. **Diagram Explanation:** The diagram illustrates a system consisting of two reservoirs at different elevations. The higher reservoir is at an elevation \( Z_1 = 150 \) ft above the datum, and the lower reservoir is at \( Z_2 = 75 \) ft. 1. **Water Flow as a Turbine:** - During the daytime, water flows from the higher reservoir to the lower reservoir through a machine acting as a turbine, generating electricity. 2. **Water Flow as a Pump:** - At nighttime, the machine operates as a pump. It moves water from the lower reservoir back to the higher reservoir, working against gravity. 3. **Headloss:** - The system experiences a headloss of 17 ft in both directions due to friction and other factors within the pipes and equipment. This setup is an example of a pumped-storage hydroelectric system, which balances electricity demand and supply by storing energy at times of low demand and releasing it at times of high demand.
Transcribed Image Text:**Problem Statement:** The machine in the following figure acts as a turbine during daytime to produce electricity and as a pump during nighttime to move water back to the reservoir with higher elevation. For a design flowrate of 33 ft³/s in either direction, the headloss is 17 ft. Estimate power (\( W = \gamma Q h_s \)): (a) extracted by the machine as a turbine; (b) delivered by the pump. **Diagram Explanation:** The diagram illustrates a system consisting of two reservoirs at different elevations. The higher reservoir is at an elevation \( Z_1 = 150 \) ft above the datum, and the lower reservoir is at \( Z_2 = 75 \) ft. 1. **Water Flow as a Turbine:** - During the daytime, water flows from the higher reservoir to the lower reservoir through a machine acting as a turbine, generating electricity. 2. **Water Flow as a Pump:** - At nighttime, the machine operates as a pump. It moves water from the lower reservoir back to the higher reservoir, working against gravity. 3. **Headloss:** - The system experiences a headloss of 17 ft in both directions due to friction and other factors within the pipes and equipment. This setup is an example of a pumped-storage hydroelectric system, which balances electricity demand and supply by storing energy at times of low demand and releasing it at times of high demand.
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