Device Modeling of Lithium ion batteries 2009

R&DLithium-Ion Battery Model[Prototype]

1All Rights Reserved Copyright (C) Bee Technologies Corporation 2009

PSpice model of a Lithium-Ion battery

All Rights Reserved Copyright (C) Bee Technologies Corporation 2009 2

OCV Table

C, battery capacity in ampere-hours

Tscale = 3600, time compression, 1second = 1hour (real world)

SOC=0, the initial state of charge = empty

OCV, battery open circuit voltage

V1

Hi

IN-

OUT+

OUT-

IN+

G6GVALUE

GND

C2

7R2

IN-

OUT+

OUT-

IN+

G1

LIMIT(V(%IN+, %IN-)/1,-100,I(V1))

GVALUE

0

N1

C1

IC = SOC

0

IN+IN-

OUT+OUT-

E3

V(OCV)EVALUE

R1

12

IN+IN-

OUT+OUT-

E2EVALUE

0

GND

3

C3

VMAX

100

4

R36.8/C

U1

ETABLE

2

R5

R4

GND

D1

D2

0

D3

9

PARAMETERS:C = 1.4

Tscale = 3600SOC = 0

SOCOCV

Time

0s 12s 24s 36s 48sV(Hi)

0V

1.0V

2.0V

3.0V

4.0V

5.0V

Discharge characteristics at various load

Simulated result shows the relation between the discharge current and time using this battery model.


RL=2Ω

RL=6Ω

RL=12Ω RL=50Ω

Output characteristic of solar cell HEM115PA

V_V1

0V 50V 100V 150V 200V 250V 300VI(Isence)* V(V1:+)

0W

50W

100W

150W

200W

(210.000,115.500)

I(Isence)0A

0.25A

0.50A

0.75A

1.00A

SEL>>

(0.000,640.000m)

(275.116,0.000)

(210.000,550.000m)


No. HEM115PA

Maximum power(Pmax) 115.5(W)

Voltage at Pmax(Vmp) 210(V)

Current at Pmax(Ipm) 0.55(A)

Short-circuit current(Isc) 0.64(A)

Open-circuit voltage(Voc) 278(V)

0V 2

U 1L it h iu m -I o n B a t t e r ie s

Hi

GN

D 0

H i

C 11 n

0

PARAMETERS:I M A X = 0 . 6 4 0 0 1s o l = 1

0

D b re a k

D 1

V 1

4 . 2

+

U 2H E M 1 1 5 P AI M A X = s o l* I M A X

Solar cell HEM115PA connect with lithium-ion battery

Over voltage limit, 4.2 volt.

Brightness factor, sol = 1, 0.5 ,and 0.16.

Solar cell, HEM115PA.


Brightness factor, sol.

Maximum voltage limit.

Solar cell HEM115PA

Time

0s 1s 2s 3s 4s 5s 6s 7s 8s 9s 10sV(U1.SOC)

0V

20V

40V

60V

80V

100V

Charge characteristics at various weather condition

sol = 100%

sol = 50%

sol = 16%


Battery is fully charged in 2.5 hours on sunny day, 4.5 hours on cloudy day.

Battery can not fully charged on rainy day.

Charge & Discharge time with solar cellRL=12Ω



IMAX= 0.64A, Charging and 0.364A Discharging.


0V 3

0


Hi

GN

D

H i

C 11 n

0

D b re a k

D 1

V 1

4 . 2

0

+-

+-

S 1S

V O N = 1V O F F = 0

+

-

+

-

S 2S

V O N = 0V O F F = 1

R L1 2

0

V 2TD = 0

TF = 1 0 0 nP W = 1 2P E R = 2 4

V 1 = 0

TR = 1 0 0 n

V 2 = 5

0

0

+

U 2H E M 1 1 5 P AI M A X = 0 . 6 4 0 0 1

Solar cell / load control switch


Solar cell HEM115PA

Discharge load resistance.

Charge / Discharge simulationRL=12Ω

Simulated result shows battery voltage during charge / discharge simulation in 1 day(24hrs).


Time

0s 24s 48sV(Hi)

0V

2.0V

4.0V

6.0V

Charging Discharging DischargingCharging

0V 3


Hi

GN

D 0

H i

C 11 n

0

D b re a k

D 1

V 1

4 . 2

0

+-

+-

S 1S

V O N = 1V O F F = 0

+

-

+

-

S 2S

V O N = 0V O F F = 1

R L5 0

0

V 2TD = 0

TF = 1 0 0 nP W = 1 2P E R = 2 4

V 1 = 0

TR = 1 0 0 n

V 2 = 5

0

0

+

U 2H E M 1 1 5 P AI M A X = 0 . 6 4 0 0 1

Charge & Discharge time with solar cellRL=50Ω



IMAX= 0.64A, Charging and 0.087A Discharging.


Solar cell / load control switch


Solar cell HEM115PA

Discharge load resistance.

Time

0s 12s 24s 36s 48sV(Hi)

0V

1.0V

2.0V

3.0V

4.0V

5.0V

Charge / Discharge simulation RL=50Ω

Simulated result shows battery voltage during charge / discharge simulation in 1 day(24hrs).


Charging Discharging DischargingCharging

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Device Modeling of Lithium ion batteries 2009