## Figure P33

A 12 V battery is connected to a series RL load as shown in Figure P3.3. The battery has a rated capacity of 80 Ah. At t=0, the switch is closed, and the battery begins to discharge.

(a) Calculate and plot the battery discharge current, i(t), if the steady state discharge rate is C/2. Neglect battery voltage drop.

(b) Calculate and plot SoD(t) in Ah for 0<t<2 h.

(c) Calculate and plot SoC(t), assuming that at t=0 the battery is charged to rated capacity. Assume also that the rated capacity is the practical capacity.

(d) Calculate the time corresponding to 80% DoD.

Given below are constant power discharge characteristics of a 12 V lead-acid battery:

10 67.5

110 8

The battery characteristics are to be expressed in terms of Peukert's equation, which has the following form:

\S!'i [S!'.) ■■'/. hi l.iil: A,ir:j ai:^1 "'iUiiiL' ;.-u:lsU.il>)

(a) Derive the constants n and , assuming a linear relationship between log(SP) and log(SE).

(b) Find the capacity QT of the battery if the theoretical energy density is SET=67.5 Wh/kg, given a battery mass of15 kg.

An EV battery pack consists of four parallel sets of six series-connected 12 V, 100 Ah lead-acid batteries. One steady state motoring (discharge) cycle of battery current is shown in Figure P3.5a. The steady-state regenerative braking (charge) cycle of the battery is shown in Figure P3.5b.

## DIY Battery Repair

You can now recondition your old batteries at home and bring them back to 100 percent of their working condition. This guide will enable you to revive All NiCd batteries regardless of brand and battery volt. It will give you the required information on how to re-energize and revive your NiCd batteries through the RVD process, charging method and charging guidelines.

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