11. [NEW] シンプルモデル:ヒューズモデル
Copyright (C) Bee Technologies Inc. 2012
0.001
0.01
0.1
1
10
0.1 1 10 100
FusingTime(Sec.)
Fusing Current (A)
Fig. Shows the complete setting of fuse model parameters by using data from the
datasheet of CCF1N0.4 provided by KOA Speer Electronics, Inc.
Part No.
Current
Rating
(mA)
Internal
R. max.
(m)
I2t (A2,
seconds
)
CCF1N0.4 400 650 0.024
the minimum fusing current
is 620mA, FF = 20m/400m
= 1.55
U1
FUSE
FF = 1.55
I2T = 0.024
IRATE = 400m
RINT = 650m
11
12. [NEW] シンプルモデル:ヒューズモデル
Copyright (C) Bee Technologies Inc. 2012
0
RL1
1
0
sense1
U1
FUSE
FF = 1.55
I2T = 0.024
IRATE = 400m
RINT = 650m
I1
IOFF = 0
FREQ = 50
IAMPL = 1
PHASE = -90
0
RL2
1
0
sense2
U2
FUSE
FF = 1.55
I2T = 0.024
IRATE = 400m
RINT = 650m
I2
TD = 0
TF = 10m
PW = 0
PER = 20m
I1 = -1
I2 = 1
TR = 10m
Time
0s 20ms 40ms 60ms 80ms 100ms 140ms 180ms
I(sense1) I(sense2)
-2.0A
-1.5A
-1.0A
-0.5A
0A
0.5A
1.0A
1.5A
2.0A
(149.796m,959.222m)
(59.503m,-987.814m)
• The simulation result shows the fusing times, tF, (the time that fuse blows)
for the same peak current but different in current patterns(waveforms).
tF = 59.503msec. for sine wave
tF = 149.796msec. for triangle wave
Simulation CircuitSimulation Result
.TRAN 0 0.2s 0 100u
Fusing Time vs. Current Pattern
12
13. [NEW] シンプルモデル:リチウムイオン電池モデル
Copyright (C) Bee Technologies Inc. 2012
C is the amp-hour battery capacity [Ah]
– e.g. C = 0.3, 1.4, or 2.8 [Ah]
NS is the number of cells in series
– e.g. NS=1 for 1 cell battery, NS=2 for 2 cells
battery (battery voltage is double from 1 cell)
SOC is the initial state of charge in percent
– e.g. SOC=0 for a empty battery (0%), SOC=1 for
a full charged battery (100%)
TSCALE turns TSCALE seconds into a second
– e.g. TSCALE=60 turns 60s or 1min into a second,
TSCALE=3600 turns 3600s or 1h into a second,
• From the Li-Ion Battery specification, the model is characterized by setting parameters
C, NS, SOC and TSCALE.
Model Parameters:
+ -
U1
LI-ION_BATTERY
SOC = 1
NS = 1
TSCALE = 1
C = 1.4
(Default values)
13
14. [NEW] シンプルモデル:リチウムイオン電池モデル
Copyright (C) Bee Technologies Inc. 2012
• The battery information refer to a battery part number LIR18500 of EEMB BATTERY.
+ -
U1
LI-ION_BATTERY
SOC = 1
NS = 1
TSCALE = 60
C = 1.4
Battery capacity
is input as a
model parameter
Nominal Voltage 3.7V
Nominal
Capacity
Typical 1400mAh (0.2C discharge)
Charging Voltage 4.20V±0.05V
Charging Std. Current 700mA
Max Current
Charge 1400mA
Discharge 2800mA
Discharge cut-off voltage 2.75V
14
16. [NEW] シンプルモデル:リチウムイオン電池モデル
Copyright (C) Bee Technologies Inc. 2012
Time
0s 100s 200s 300s 400s
V(HI)
2.6V
2.8V
3.0V
3.2V
3.4V
3.6V
3.8V
4.0V
4.2V
4.4V
0
+ -
U1
LI-ION_BATTERY
SOC = 1
NS = 1
TSCALE = 60
C = 1.4
HI
0
0
IN-
OUT+
OUT-
IN+
G1
limit(V(%IN+, %IN-)/0.1m, 0, rate*CAh )
PARAMETERS:
rate = 1
CAh = 1.4
C1
10n
sense
*Analysis directives:
.TRAN 0 300 0 0.5
.STEP PARAM rate LIST 0.2,0.5,1
.PROBE V(*) I(*) W(*) D(*) NOISE(*)
0.2C
0.5C
1C
(minute)
TSCALE turns 1 minute in seconds,
battery starts from 100% of capacity (fully charged)
• Battery voltage vs. time are simulated at 0.2C, 0.5C, and 1C discharge rates.
Discharge Time Characteristic
16
17. [事例1] Case1: Battery Charger Circuit with Li-ion model (NS*=4)
Simulation Circuit and Setting
17
Lithium Ion Battery
• 3.7V – Nominal Voltage
• 2200mAh – Nominal Capacity
• 4-Cells
Battery’s Timescale=360K, Simulation time: 10ms=1hour.
NS* is the number of cells.
*Analysis directives:
• .tran 0 36.9ms 6.9m 10u startup
• solver = Alternate
• .options RELTOL=0.01
• .options VNTOL=1m
• .options ABSTOL=100n
• .options CHGTOL=10n
• .options GMIN=1E-9
• .options ITL1=500
• .options ITL2=200
• .options ITL4=100
Copyright (C) Bee Technologies Inc. 2012
18. [事例1] Case1: Battery Charger Circuit with Li-ion model (NS*=4)
Simulation Result
18
• Total elapsed time: 4605.672 sec. ≈ 77min.
(10ms/hour)
Charging Voltage
Charging Current
SOC: U3
Copyright (C) Bee Technologies Inc. 2012
バッテリーの容量
Y軸:1.0[V]=100[%]
0[V]=0[%]
19. [事例1] Case2: Battery Charger Circuit with Li-ion model
(NS=14, Various Initial SOC)
19
Lithium Ion Battery
• 3.7V – Nominal
Voltage
• 2200mAh –
Nominal Capacity
• 14-Cells
Battery’s Timescale=360K, Simulation time: 10ms=1hour.
NS* is the number of cells.
*Analysis directives:
• .tran 0 41ms 11ms 10u startup
• solver = Alternate
• .options RELTOL=0.01
• .options VNTOL=10m
• .options ABSTOL=100n
• .options CHGTOL=0.001u
• .options GMIN=1E-8
• .options ITL1=500
• .options ITL2=200
• .options ITL4=100
Copyright (C) Bee Technologies Inc. 2012
Cell No.1 Cell No.2 Cell No.3 Cell No.4
20. 20
• Total elapsed time: 4444.157 sec. ≈ 74min.
(10ms/hour)
Charging Voltage
Charging Current
SOC: U3
SOC: U4, U5, and U6
[事例1] Case2: Battery Charger Circuit with Li-ion model
(NS=14, Various Initial SOC)
Copyright (C) Bee Technologies Inc. 2012
バッテリーの容量
Y軸:1.0[V]=100[%]
0[V]=0[%]
Cell No.1=U3
Cell No.2=U4
Cell No.3=U5
Cell No.4=U6
21. [事例2] Case1: Voltage Source(v1) with LTC3105
Simulation Circuit and Setting
21
Output Voltage≈ 4.1V
RLOAD= 500Ω
*Analysis directives:
• .tran 0 5m 0 startup
Copyright (C) Bee Technologies Inc. 2012
Input Voltage= 0.5V
Vmppc= 0.4V
22. • Total elapsed time: 410.938sec. ≈ 7min.
Copyright (C) Bee Technologies Inc. 2012 22
[事例2] Case1: Voltage Source(v1) with LTC3105
Simulation Result
Input Voltage
Output Voltage
VMPPC=0.4V
Input Current
23. [事例2] Solar Cell Specification (Ref.1)
• The information refer to a part number 19_12_93 of CONRAD ELECTRONIC.
Copyright (C) Bee Technologies Inc. 2012 23
PARAMETER VALUE
Pmax (W) 0.400
Vmp (V) 0.500
Imp (A) 0.800
Isc (A) 0.872
Voc (V) 0.580
24. [事例2]
Output Characteristics vs. Incident Solar Radiation (Ref.2)
19_12_93 Output Characteristics vs. Incident Solar Radiation
Copyright (C) Bee Technologies Inc. 2012 24
Parameter, SOL is added as
normalized incident radiation, SOL=1
for 100% conditions
Voltage (V)
Current(A)Power(W)
499.876mV,397.284mW
485.393mV,182.125mW
SOL=0.5
SOL=1
SOL=0.3
475.064mV,98.197mW
26. • Total elapsed time: 2082.5sec. ≈ 35min.
Copyright (C) Bee Technologies Inc. 2012 26
[事例2] Case4: Maximum power point tracking (SOL=30%)
Simulation Result
Input Voltage
VMPPC =0.500V ---
VMPPC =0.475V ---
Output Voltage
Input Voltage