SPICEを活用した二次電池アプリケーション回路シミュレーションセミナー資料

1.リチウムイオン電池のシンプルモデル
2.ニッケル水素電池のシンプルモデル
3.鉛蓄電池のシンプルモデル
4.太陽電池のSPICEモデル解説
5.太陽光発電システム全体シミュレーション
6.環境発電のシミュレーション
7.社会インフラ系シミュレーションに関連するデバイスモデリング
サービスのご紹介
7.1電気二重層キャパシタシミュレーション
7.2リチウムイオンキャパシタシミュレーション
8.質疑応答
SPICEを活用した二次電池アプリケーション回路
シミュレーションセミナー
2013年4月18日
1Copyright (C) Bee Technologies 2013

マルツエレックのサービス
様々なシチュエーションでお客様の【ものづくり】をサポート致します
回路設計の技術サポート
回路シミュレーションのアプローチで御社の回路設計をサポートいたします。
部品調達
大量調達、中止品調達お任せ下さい！
WebShopと１２店舗のネットワークで、部品調達を徹底サポート致します。
基板設計・製造・実装
試作から量産まで承ります。
実装だけでなく調達もお任せ下さい。
ケース、ハーネス加工
穴あけ、切削、シルク印刷など指示書一枚で様々な加工が可能です。
2

Parameter Settings
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.
Copyright (C) Bee Technologies 2013 3
Model Parameters:
+ -
U1
LI-ION_BATTERY
SOC = 1
NS = 1
TSCALE = 1
C = 1.4
(Default values)

• 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

Time
0s 50s 100s 150s 200s
1 V(HI) 2 I(IBATT)
3.0V
3.2V
3.4V
3.6V
3.8V
4.0V
4.2V
4.4V
1
0A
0.4A
0.6A
0.8A
1.0A
1.2A
1.4A
2
SEL>>SEL>>
V(X_U1.SOC)
0V
0.2V
0.4V
0.6V
0.8V
1.0V
+ -
U1
LI-ION_BATTERY
SOC = 0
NS = 1
TSCALE = 60
C = 1.4
• Charging Voltage: 4.20V±0.05V
• Charging Current: 700mA (0.5 Charge)
Current=700mA
Voltage=4.20V
Capacity=100%
(minute)
Measurement Simulation
SOC=0 means battery
start from 0% of
capacity (empty)

PARAMETERS:
rate = 0.5
CAh = 1.4
N = 1
0
Vin
5V
IBATT
+ -
U1
LI-ION_BATTERY
SOC = 0
NS = {N}
TSCALE = 60
C = 1.4
0
C1
10n
HI
IN-
OUT+
OUT-
IN+
G1
Limit(V(%IN+, %IN-)/0.1m, 0, rate*CAh )
0
Voch
{(4.20*N)-8.2m}
DMOD
D1
0
*Analysis directives:
.TRAN 0 200 0 0.5
.PROBE V(*) I(*) W(*) D(*) NOISE(*)
1 minute in seconds
Over-Voltage Protector:
(Charging Voltage*1) - VF of D1
Input Voltage

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
.TRAN 0 300 0 0.5
.STEP PARAM rate LIST 0.2,0.5,1
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.

0
+ -
U1
LI-ION_BATTERY
SOC = 1
NS = 1
TSCALE = 60
C = 1.4
HI
0
0IN-
OUT+
OUT-
IN+
G1
PARAMETERS:
rate = 0.2
CAh = 1.4
C1
10n
sense
.TRAN 0 296.82 0 0.5
1 minute in seconds

+ -
U1
LI-ION_BATTERY
SOC = 1
NS = 4
TSCALE = 60
C = 4.4
• The battery information refer to a battery part number PBT-BAT-0001 of BAYSUN Co., Ltd.
The number of cells in
series is input as a
model parameter
Output Voltage DC 12.8~16.4V
Capacity of Approximately 4400mAh
Input Voltage DC 20.5V
Charging Time About 5 hours
Basic Specification
Li-ion needs 4 cells
to reach this
voltage level

Time
0s 1s 2s 3s 4s 5s 6s 7s 8s 9s 10s
1 V(HI) 2 I(IBATT)
12V
13V
14V
15V
16V
17V
18V
1
0A
0.8A
1.2A
1.6A
2.0A
2.4A
2
>>
V(X_U1.SOC)
0V
0.2V
0.4V
0.6V
0.8V
1.0V
SEL>>
• Input Voltage: 20.5V
• Charging Voltage: 16.8V
Current=880mA
Voltage=16.8V
Capacity=100%
(hour)
The battery needs 5 hours to be fully charged

PARAMETERS:
rate = 0.2
CAh = 4.4
N = 4
0
Vin
20.5V
IBATT
+ -
U1
LI-ION_BATTERY
SOC = 0
NS = {N}
TSCALE = 3600
C = 4.4
0
C1
10n
HI
IN-
OUT+
OUT-
IN+
G1
Limit(V(%IN+, %IN-)/0.1m, 0, rate*CAh )
0
Voch
{(4.2*N)-8.2m}
DMOD
D1
0
.TRAN 0 10 0 0.05
1 Hour in seconds
Input Voltage
Over-Voltage Protector:
(Charging Voltage*4) - VF of D1

Time
0s 0.4s 0.8s 1.2s 1.6s 2.0s
V(HI)
10V
11V
12V
13V
14V
15V
16V
17V
18V
• Charging Voltage: 16.8V
(hour)
0.5C
1C
16.4V
12.8V
Output
voltage
range

0
+ -
U1
LI-ION_BATTERY
SOC = 1
NS = 4
TSCALE = 3600
C = 4.4
HI
0
0IN-
OUT+
OUT-
IN+
G1
PARAMETERS:
rate = 1
CAh = 4.4
C1
10n
sense
.TRAN 0 3 0 0.05
.STEP PARAM rate LIST 0.5,1
1 Hour in seconds
Parametric sweep “rate”

-+
U1
NI-MH_BATTERY
C = 1350M
TSCALE = 1
NS = 1
SOC = 1
– e.g. C = 0.3, 1.4, or 2.8 [Ah]
– e.g. NS=1 for 1 cell battery, NS=2 for 2 cells battery
(battery voltage is double from 1 cell)
– e.g. SOC=0 for a empty battery (0%), SOC=1 for a full
charged battery (100%)
TSCALE turns TSCALE seconds(in the real world) into a
second(in simulation)
– e.g. TSCALE=60 turns 60s or 1min (in the real world)
into a second(in simulation), TSCALE=3600 turns 3600s
or 1h into a second.
• From the Ni-Mh Battery specification, the model is characterized by setting parameters
C, NS, SOC and TSCALE.
Model Parameters:
(Default values)

-+
U1
NI-MH_BATTERY
C = 1350M
TSCALE = 1
NS = 1
SOC = 1
• The battery information refer to a battery part number HF-A1U of SANYO.
Battery capacity
[Typ.] is input as a
model parameter
Nominal Voltage 1.2V
Capacity
Typical 1350mAh
Minimum 1250mAh
Charging Current  Time 1350mA  about 1.1h
Discharge cut-off voltage 1.0V

Time
0s 10s 20s 30s 40s 50s 60s 70s 80s
V(HI)
1.0V
1.1V
1.2V
1.3V
1.4V
1.5V
1.6V
1.7V
1.8V
• Charging Current: 1350mA  about 1.1h
(min.)
SOC=0 means battery
start from 0% of
capacity (empty)
-+
U1
NI-MH_BATTERY
C = 1350M
TSCALE = 60
NS = 1
SOC = 0
Charge: 1350mA

-+
U1
NI-MH_BATTERY
C = 1350M
TSCALE = 60
NS = 1
SOC = 1
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
0 250 500 750 1000 1250 1500
CellVoltage[V]
Discharge Capacity [mAh]
0.2C (270mA)
1.0C (1350mA)
2.0C (2700mA)
0.0
0.2
0.4
0.6
0.8
1.0
1.2
0 1 2 3 4 5
ActualCapacity
(%ofRatedCapacity)
Discharge Rate (Multiples of C)
Mesurement
Simulation
• Nominal Voltage: 1.2V
• Capacity: 1350mAh
• Discharge cut-off voltage: 1.0V
2700mA
Simulation
1350mA
270mA

– e.g. C = 1, 50, or 100 [Ah]
– e.g. NS=1 for 1 cell battery, NS=2 for 2 cells battery
(battery voltage is double from 1 cell)
– e.g. SOC=0 for a empty battery (0%), SOC=1 for a full
charged battery (100%)
TSCALE turns TSCALE seconds(in the real world) into a
second(in simulation)
– e.g. TSCALE=60 turns 60s or 1min (in the real world)
into a second(in simulation), TSCALE=3600 turns 3600s
or 1h into a second.
• From the Lead-Acid Battery specification, the model is characterized by setting
parameters C, NS, SOC and TSCALE.
Model Parameters:
(Default values)

• The battery information refer to a battery part number MSE Series of GS YUASA.
Battery capacity
[Typ.] is input as a
model parameter
Nominal Voltage 2.0 [Vdc] /Cell
Capacity 50Ah
Rated Charge 0.1C10A
Voltage Set 2.23 [Vdc] /Cell
Charging Time 24 [hours] @ 0.1C10A

• Charging Time: 24 [hours] @ 0.1C10A
(hour)
SOC=0 means battery
start from 0% of
capacity (empty)
Current: 5A (0.1C10A)
Voltage: 2.23V

(hour)
SOC=1 means battery
start from 100% of
capacity
0.1C10A
0.23C10A
0.65C10A
1.0C10A

Rs
Rsh
電流源 IDC ダイオード抵抗
抵抗

太陽電池モデルのシミュレーション結果
V_V1
0V 5V 10V 15V 20V 25V 30V
I(Isence)* V(V1:+)
0W
50W
100W
150W
200W
(16.900,109.848)
I(Isence)
0A
2A
4A
6A
8A
10A
SEL>>
(16.900,6.4999)
(21.596,0.000)
0.000,7.3196)

太陽電池モデルの出力特性の解析精度
+
Symbol Measurement Simulation %Error
Isc 7.4000 7.3196 -1.086
Voc 21.6000 21.5950 -0.023
Ipm 6.5000 6.4999 -0.002
Vpm 16.9000 16.9000 0.000
Pmax(Ipm*Vpm) 109.8500 109.8480 -0.002
V_V1
I(Isence)* V(V1:+)
SEL>>
I(Isence)
Vpm Voc
Pmax
IpmIsc

日射データの過渡的なデータがある場合
日射量
時間
電流値
換算
気象条件
NEDOのMONSOLA05(801)データ

日射データの過渡的なデータがある場合
Rs
Rsh
電流源 IDC ダイオード抵抗
抵抗
I1
電流源
IPWL

Concept of Simulation PV Li-Ion Battery System in 24hr.
Lithium-Ion
Batteries Pack
Photovoltaic
Module
Over Voltage Protection
Circuit
16.8V Clamp Circuit
PBT-BAT-0001 (BAYSUN)
DC12.8～16.4V (4 cells)
4400mAh
SX 330 (BP Solar)
Vmp=16.8V
Pmax=30W
DC/DC
Converter
Vopen= (V)
Vclose= (V)
The model contains 24hr.
solar power data (example).
DC Load
VIN=10~18V
VOUT=5V
VIN = 5V
IIN = 1.5A
Low-Voltage
Shutdown
Circuit

Short-circuit current vs. time characteristics of photovoltaic module SX330 for
24hours as the solar power profile (example) is included to the model.
Time
0s 4s 8s 12s 16s 20s 24s
I(X_U1.I_I1)
0A
0.4A
0.8A
1.2A
1.6A
2.0A
SX330
+
U2
SX330_24H_TS3600
The model contains
24hr. solar power data
(example).

PV-Battery System Simulation Circuit
Ronof f 1
100dchth
Low-Voltage Shutdown Circuit
DC/DC Converter
DMOD
D1
Voch
16.8Vdc
0
0
batt
0
C1
100n
IC = 16.4
0
pv
+ -
U1
PBT-BAT-0001
TSCALE = 3600
SOC1 = 70
SX330
+
U2
SX330_24H_TS3600
batt1
C3
10n
+
-
+
-
S2
S
VON = 0.7
VOFF = 0.3
ROFF = 10MEG
RON = 0.01
0
0
IN+
IN-
OUT+
OUT-
ecal_Iomax
n*V(%IN+, %IN-)*I(IN)/5
EVALUE
Iomax
0
IN+
IN-
OUT+
OUT-
E2
IF( V(lctrl) > 0.25 ,Lopen ,Lclose)
EVALUE
0
PARAMETERS:
Lopen = 14
Lclose = 15.2
IN+
IN-
OUT+
OUT-
E1
IF(V(batt1)>V(dchth),5,0)
EVALUERonof f
100
Conof f
1n
IC = 5
Lctrl
PARAMETERS:
n = 1
I1
1.5Adc
0
OUT
IN+
IN-
OUT+
OUT-
E3
IF( I(OUT)-V(Iomax) > 0 ,n*V(%IN+, %IN-)*I(IN)/(I(OUT)+1u), 5 )
EVALUE
out_dc
DMOD
D2
Conof f 1
100n
IN-
OUT+
OUT-
IN+
G1
Limit( V(%IN+, %IN-)/0.1, 1m, 5*I(out)/(n*limit(V(%IN+, %IN-),10,25)) )
GVALUE
IN
Solar cell model with
24hr. solar power
data.
Lopen value is load
shutdown voltage.
Lclose value is load
reconnect voltage
Set initial battery
voltage, IC=16.4, for
convergence aid.
SOC1 value is initial
State Of Charge of the
battery, is set as 70%
of full voltage.
7.5W Load
(5Vx1.5A).
 Simulation at 15W load, change I1 from 1.5A to 3A

Time
0s 4s 8s 12s 16s 20s 24s
1 V(out_dc) 2 I(IN)
0V
2.5V
5.0V
7.5V
1
400mA
500mA
600mA
2
SEL>>SEL>>
V(X_U1.SOC)
0V
25V
50V
75V
100V
1 V(batt) 2 I(U1:PLUS)
12.5V
15.0V
17.5V
1
>>
-2.0A
0A
2.0A
2
I(pv)
0A
1.0A
Simulation Result (SOC1=100)
C1: IC=16.4
Run to time: 24s (24hours in real world)
Step size: 0.01s
PV generated current
Battery current
Battery voltage
Battery SOC
DC/DC input current
DC output voltage
• .Options ITL4=1000
SOC1=100 Fully charged, stop
charging
Battery supplies current when solar
power drops.
PV module charge the battery
Charging time

Time
0s 4s 8s 12s 16s 20s 24s
1 V(out_dc) 2 I(IN)
0V
2.5V
5.0V
7.5V
1
0A
0.5A
1.0A
2
>>
V(X_U1.SOC)
0V
25V
50V
75V
100V
10.152m,69.889)
12.5V
15.0V
17.5V
1
-2.0A
0A
2.0A
2
SEL>>SEL>>
(7.6750,15.199)
(5.1850,14.000)
I(pv)
0A
1.0A
C1: IC=16.4
Step size: 0.01s
SKIPBP
Battery current
Battery voltage
Battery SOC
DC/DC input current
DC output voltage
SOC1=70
V=Lopen
V=Lclose
Shutdown
Reconnect
Fully charged, stop
charging
power drops.
Charging time

Time
0s 4s 8s 12s 16s 20s 24s
1 V(out_dc) 2 I(IN)
0V
2.5V
5.0V
7.5V
1
0A
0.5A
1.0A
2
>>
V(X_U1.SOC)
0V
100V
SEL>>
(12.800m,29.854)
12.5V
15.0V
17.5V
1
-2.0A
0A
2.0A
2
>> (1.6328,14.004)
(7.6150,15.193)
I(pv)
0A
1.0A
C1: IC=15
Step size: 0.01s
Total job time = 2s
Battery current
Battery voltage
Battery SOC
DC/DC input current
DC output voltage
SOC1=30
V=Lopen
V=Lclose
Shutdown
Reconnect
Fully charged, stop
charging
power drops.
Charging time

Time
0s 4s 8s 12s 16s 20s 24s
1 V(out_dc) 2 I(IN)
0V
2.5V
5.0V
7.5V
1
0A
0.5A
1.0A
2
>>
V(X_U1.SOC)
0V
100V
12.5V
15.0V
17.5V
1
-2.0A
0A
2.0A
2
SEL>>SEL>>
(7.6163,15.200)
I(pv)
0A
1.0A
C1: IC=14.4
Step size: 0.01s
SKIPBP
Battery current
Battery voltage
Battery SOC
DC/DC input current
DC output voltage
• .Options RELTOL=0.01
SOC1=10
V=Lclose
Shutdown
Reconnect
Fully charged, stop
charging
power drops.
Charging time

Time
0s 4s 8s 12s 16s 20s 24s
1 V(out_dc) 2 I(IN)
0V
2.5V
5.0V
7.5V
1
0A
1.0A
2.0A
2
>>
V(X_U1.SOC)
0V
25V
50V
75V
100V
12.5V
15.0V
17.5V
1
-2.0A
0A
2.0A
2
SEL>>SEL>>
(20.473,14.003)
(7.6086,15.200)
(3.8973,14.000)
I(pv)
0A
1.0A
Simulation Result (SOC1=100, IL=3A or 15W load)
C1: IC=16.4
Step size: 0.001s
Battery current
Battery voltage
Battery SOC
DC/DC input current
DC output voltage
SOC1=100 Fully charged, stop
charging
power drops.
Charging time
V=Lopen
Shutdown
V=Lopen
Shutdown

LTC3105は、225mVの低い入力電圧で動作可能な高効率の昇圧DC/DCコンバータ
です。250mVでの起動が可能で、最大電力点コントローラ (MPPC)を搭載している
ので、光起電力電池、TEG (熱電発電機)、燃料電池といった低電圧で
高インピーダンスの代替電力源で直接動作可能です。
MPPCの設定値をユーザーがプログラム可能なので、あらゆる電力源から最大限
のエネルギーを抽出できます。
Output Voltage≈ 4.1V
RLOAD= 500Ω
• .tran 0 5m 0 startup
Input Voltage= 0.5V
Vmppc= 0.4V

Case1: Voltage Source(v1) with LTC3105
 Simulation Result • Total elapsed time: 410.938sec. ≈ 7min.
Input Voltage
Output Voltage
VMPPC=0.4V
Input Current

Solar Cell Specification
• The information refer to a part number 19_12_93 of CONRAD ELECTRONIC.
PARAMETER VALUE
Pmax (W) 0.400
Vmp (V) 0.500
Imp (A) 0.800
Isc (A) 0.872
Voc (V) 0.580

Case2: MPPC Response to Input Source (SOL=100%)
 Simulation Circuit and Setting
IOUT≈ 8.2mA
• .lib 19_12_93.lib
Pmax= 400mW
Voc= 0.58V
Isc= 0.872A
Vmppc= Vmp= 0.5V
[SOL=100%]

 Simulation Result
• Total elapsed time: 786.766sec. ≈ 13min.
Input Voltage
Output Voltage
VMPPC=0.5V
Input Current

IOUT≈ 8.2mA
• .lib 19_12_93.lib
Pmax= 400mW
Voc= 0.58V
Isc= 0.872A
Vmppc= Vmp= 0.5V
[SOL=50%]

Input Voltage
Output Voltage
VMPPC=0.5V
Input Current

Case4: Maximum power point tracking (SOL=30%)
IOUT≈ 8.2mA
• .lib 19_12_93.lib
Pmax= 400mW
Voc= 0.58V
Isc= 0.872A
Vmppc= 0.5V, 0.475V
(Ref.2)
[SOL=30%]
• Parametric Sweep Rmppc: 50kΩ(0.5V), 47.5kΩ(0.475V)
• Rmppc= Vm/10uA

Case4: Maximum power point tracking (SOL=30%)
Input Voltage
VMPPC =0.500V ---
VMPPC =0.475V ---
Output Voltage
Input Current

7.1 電気二重層キャパシタ
Measurement
Battery Voltage
Charging Current
Simulation
7.2 リチウムイオンキャパシタ
当日説明
電気二重層キャパシタとリチウムイオンキャパシタは、現在、デバイスモデリングサービス
にてご提供中です。

今後のシンプルモデルのご提供予定
【近日中】
パワー・コンディショナー
【開発中】
電気二重層キャパシタ
リチウムイオンキャパシタ

質疑応答

SPICEを活用した二次電池アプリケーション回路シミュレーションセミナー資料

Empfohlen

Empfohlen

Weitere ähnliche Inhalte

Was ist angesagt?

Was ist angesagt? (19)

Ähnlich wie SPICEを活用した二次電池アプリケーション回路シミュレーションセミナー資料

Ähnlich wie SPICEを活用した二次電池アプリケーション回路シミュレーションセミナー資料 (20)

Mehr von spicepark

Mehr von spicepark (20)

Kürzlich hochgeladen

Kürzlich hochgeladen (20)

SPICEを活用した二次電池アプリケーション回路シミュレーションセミナー資料