Design the battery for an industrial application that requires 10-kWh energy in 1.5 h for a dc

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Design the battery for an industrial application that requires 10-kWh energy in 1.5 h for a dc load at 120 V three times daily for 250 days every year. The battery must be completely recharged in 2.0 h after each discharge. Use Li-ion cells in this example, but the design process will be applicable to other electro chemistries as well. Use the following Li-ion cell parameters: average discharge voltage 3.6 V, average charge voltage 4.2 V, c/d ratio 1.1, trickle charge rate C/100, and average life 2000 cycles at 100% DoD. For the purpose of reliability, design the battery with two strings in parallel. To avoid one string charging the other, place an isolation diode with 1-V drop in the discharge path of each string as shown in the figure below. Assume that each cell has 10-mΩ internal resistance at the operating temperature. If the battery must last five calendar years before replacement, determine: 

(1) The number of cells in series in each parallel string, (2) The discharge current, 

(3) The ampere-hour ratings of each cell, 

(4) The charge current, 

(5) The charge voltage, and 

(6) The trickle charges current.

Charger 1 22.8 A, 155.4 V + B1 Load 120 V + B2 Charger 2 22.8 A, 155.4 V

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