Consider a pumped hydro system that is used for energy storage. During off-peak hours, excess electricity is used to pump water up to a storage reservoir. During peak demand periods the flow is reversed and electric power is generated by flowing the water through a hydraulic turbine. The storage reservoir is 100 m above the hydro turbine/pump units and the hydraulic turbine can accommodate up to 650 l/s (liters per second) of flow.a.How much area would the pumped storage reservoir need to be to store 1000 MWh of hydro energy if its average depth were 10m? Express your answer in acres. Is this reasonable?(91.06 acres)Thepotential energy of water in the reservoir can be calculated as gH, where is the density of water, gis gravitational acceleration, and His the effective head of the system.First calculate the total volume of water required in meters, then the surface area of the reservoir if it is 10m deep on average. Then convert to acres.b.Estimate the theoretical power (assume 100% efficiency) produced during the times that electricity is generated. c.If the round-trip efficiency of the pumped storage unit is 75% (i.e., energy out / energy in), how much water (m3) must the reservoir hold to store the same 1000 MWh of energy?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Consider a pumped hydro system that is used for energy storage. During off-peak hours, excess electricity is used to pump water up to a storage reservoir. During peak demand periods the flow is reversed and electric power is generated by flowing the water through

a hydraulic turbine. The storage reservoir is 100 m above the hydro turbine/pump units and the hydraulic turbine can accommodate up to 650 l/s (liters per second) of flow.a.How much area would the pumped storage reservoir need to be to store 1000 MWh of hydro energy if its average depth were 10m? Express your answer in acres. Is this reasonable?(91.06 acres)Thepotential energy of water in the reservoir can be calculated as gH, where is the density of water, gis gravitational acceleration, and His the effective head of the system.First calculate the total volume of water required in meters, then the surface area of the reservoir if it is 10m deep on average. Then convert to acres.b.Estimate the theoretical power (assume 100% efficiency) produced during the times that electricity is generated. c.If the round-trip efficiency of the pumped storage unit is 75% (i.e., energy out / energy in), how much water (m3) must the reservoir hold to store the same 1000 MWh of energy?

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