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4 example, Figure 53 — battery string example – Alpha Technologies Micro Secure UPS User Manual

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017-220-J0 Rev B

72

10.4 Example

The following example shows how to calculate Peukert number and capacity from a configured battery string.
Consider four Alpha 195GXL batteries connected and configured as shown in the figure below. Two of the four

batteries are connected in series, and the two series strings are connected in parallel to the 24Vdc output.

Figure 53 — Battery string example

The Peukert number and capacity for the above configuration can be determined as follows:

1. Obtain the data sheet of the selected battery. See table below.

2. Find the current discharge ratings table in the data sheet. From the table, pick two current discharge values

(I

1

and I

2

) that are closest to the calculated load current value. Look up the two discharge hours (R

1

and R

2

).

3. From the table, I1 = 13.9A, I2 = 10.8A, R1 = 6 hrs, R2 = 8 hrs.

From Equation (1) earlier:

n =

= 1.14

Log (8/6)

Log (13.9) - Log (10.8)

Peukert’s number = n =

Log (R

2

/R

1

)

(Log (I

1

) - Log (I

2

))

(1)

Peukert’s capacity = (I

1

)

n

x R

1

per battery

(2)

From Equation (2) earlier

Peukert’s number = n =

Log (R

2

/R

1

)

(Log (I

1

) - Log (I

2

))

(1)

Peukert’s capacity = (I

1

)

n

x R

1

per battery

(2)

4. The Peukert’s capacity for the series combination (Batteries #1 and #2) is 166.00 Ah.

5. The Peukert’s capacity for the parallel combination (Batteries #1, #2 and #3, #4) is 2 x 166.00 Ah = 332.00 Ah.

195 GXL

12 VDC

195 GXL

12 VDC

195 GXL

12 VDC

24 VDC

195 GXL

12 VDC

+

+

+

+

+

= 15.2

1.217

x 6

= 166.00 Ah per battery