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Ds 2 7 8 8, Stand-alone fuel-gauge ic with led display drivers, Cell stack model construction – Rainbow Electronics DS2788 User Manual

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Active Empty: The active empty curve defines the tem-
perature variation in the empty point of the discharge

profile based on a high-level load current (one that is

sustained during a high-power operating mode) and

the minimum voltage required for system operation.

This load current is programmed as the active empty

current (IAE), and should be a 3.5s average value to

correspond to values read from the Current register

and the specified minimum voltage, or active empty

voltage (VAE) should be a 250ms average to corre-

spond to values read from the Voltage register. The

DS2788 reconstructs the active empty line from cell

characteristic table values to determine the active

empty capacity of the battery at each temperature.

Reconstruction occurs in one-degree temperature

increments. Active empty segment slopes are stored

the same as described for the full segments.

Standby Empty: The standby empty curve defines the
temperature variation in the empty point in the dis-

charge defined by the application standby current and

the minimum voltage required for standby operation.

Standby empty represents the point that the battery

can no longer support a subset of the full application

operation, such as memory data retention or organizer

functions on a wireless handset. Standby empty seg-

ment slopes are stored the same as described for the

full segments.

The standby load current and voltage are used for

determining the cell characteristics but are not pro-

grammed into the DS2788. The DS2788 reconstructs

the standby empty line from cell characteristic table

values to determine the standby empty capacity of the

battery at each temperature. Reconstruction occurs in

one-degree temperature increments.

Cell Stack Model Construction

The model is constructed with all points normalized to

the fully charged state at +50°C. The cell parameter

EEPROM block stores the initial values, the +50°C full

value in mVh units, and the +50°C active empty value

as a fraction of the +50°C value. Standby empty at

+50°C is by definition zero and therefore no storage is

required. The slopes (derivatives) of the 4 segments for

each model curve are also stored in the cell parameter

EEPROM block along with the break point temperatures

of each segment. Table 1 shows an example of data

stored in this manner.

Stand-Alone Fuel-Gauge IC with
LED Display Drivers

14

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Table 1. Example Cell Characterization Table (Normalized to +50°C)

TEMPERATURE

CELL MODEL

PARAMETERS

15 BYTES

(EEPROM)

LOOKUP

FUNCTION

FULL(T)

AE(T)

SE(T)

Figure 13. Lookup Function Diagram

Manufacturer’s Rated Cell Capacity: 1220mAh

Charge Voltage: 4.2V

Charge Current: 500mA

Termination Current: 50mA

Active Empty (V, I): 3.0V, 500mA

Standby Empty (V, I): 3.0V, 4mA

Sense Resistor: 0.020

SEGMENT BREAKPOINTS

TBP12 = -12°C

TBP23 = 0°C

CALCULATED VALUE

+50

°C NOMINAL

(mAh)

SEGMENT 1

(ppm/

°C)

SEGMENT 2

(ppm/

°C)

SEGMENT 3

(ppm/

°C)

SEGMENT 4

(ppm/

°C)

Full

1214

488

549

1587

2686

Active Empty

854

1526

2686

3113

Standby Empty

244

183

916

244