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![3. Concept of the Model
5
Li-Ion battery
MATLAB/Simulink Model
[Spec: C, NS]
Adjustable SOC : 0-100(%)
+
-
• The model is characterized by parameters: C, which represent the battery
capacity and SOC, which represent the battery initial capacity level.
• Open-circuit voltage (VOC) vs. SOC is included in the model as a behavioral
model.
• NS (Number of Cells in series) is used when the Li-ion cells are in series to
increase battery voltage level.
Output
Characteristics
All Rights Reserved Copyright (C) Siam Bee Technologies 2015](https://image.slidesharecdn.com/li-ionbatterymatlabhonda-150529063732-lva1-app6892/75/Device-Modeling-of-Li-Ion-battery-MATLAB-Simulink-Model-5-2048.jpg)
![VB
VIN
5V
1
Tscale
100
Soc
V
+
I
+
-
SENSE_IBAT
PSS
PS S
OUTPUT
1
Ns
NS
C
Tscale
%SOC
VSOC
PLUS
MINUS
LI-ION_BATTERY
ICHG
0.5C (700mA)1.4
Capacity
4. Pin Configurations
C is the amp-hour battery capacity [Ah]
– e.g. C = 0.2, 1.4, or 2.0 [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=100
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.
6
Model Parameters:
Probe
“SOC”
All Rights Reserved Copyright (C) Siam Bee Technologies 2015](https://image.slidesharecdn.com/li-ionbatterymatlabhonda-150529063732-lva1-app6892/75/Device-Modeling-of-Li-Ion-battery-MATLAB-Simulink-Model-6-2048.jpg)
Uploaded byTsuyoshi Horigome
Device Modeling of Li-Ion battery MATLAB/Simulink Model
This document describes a MATLAB/Simulink model of a lithium-ion battery that simulates various characteristics including charge time, discharge time at different current rates, and voltage vs. state of charge. The model uses parameters like capacity, number of cells, initial state of charge, and time scale. It outputs graphs of simulations comparing measurement data to modeled charge/discharge curves and voltage vs. state of charge. The model is intended to simulate battery behavior for use in other system models.
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Device Modeling of Li-Ion battery MATLAB/Simulink Model
- 1. All Rights ReservedCopyright (C) Siam Bee Technologies 2015 1 Lithium-Ion Battery MATLAB/Simulink Model Bee Technologies http://www.bee-tech.info/ Device Modeling Service Charge Characteristic Discharge Characteristic Device Modeling Service MATLAB/Simulink Model
- 2. Contents 1. Model Feature 2.MATLAB/Simulink Model of Lithium-Ion Battery 3. Concept of the Model 4. Pin Configurations 5. Li-Ion Battery Specification (Example) 5.1 Charge Time Characteristic 5.1.1 Charge Time Characteristic (Simulation Circuit) 5.1.2 Charge Time Characteristic (Simulation Settings) 5.2 Discharge Time Characteristic (Simulation Circuit) 5.2.1 Discharge Time Waveform - 1400mAh (0.2C discharge) 5.2.2 Discharge Time Waveform - 1400mAh (0.5C discharge) 5.2.3 Discharge Time Waveform - 1400mAh (1.0C discharge) 5.2.4 Discharge Time Characteristic (Simulation Settings) 5.3 Vbat vs. SOC Characteristic 5.3.1 Vbat vs. SOC Characteristic (Simulation Circuit) 5.3.2 Vbat vs. SOC Characteristic (Simulation Settings) 6. Port Specifications 2All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 3. • This Li-IonBattery MATLAB/Simulink Model is for users who require the model of a Li-Ion Battery as a part of their system. • Battery Voltage(Vbat) vs. Battery Capacity Level (SOC) Characteristic, that can perform battery charge and discharge time at various current rate conditions, are accounted by the model. • As a model, the effects of cycle number and temperature are neglected. VSOC 2 MINUS 1 PLUS VOC +- Rtransient_S +- Rtransient_L +- Rseries Ibatt +- Ctransient_S +- Ctransient_L +- Capacity 1. Model Feature 3 Concept Circuit of Li-Ion Battery Circuit Model All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 4. 2. MTALAB/Simulink Modelof Lithium-Ion Battery 4 Equivalent Circuit of Lithium-Ion Battery Model using MATLAB All Rights Reserved Copyright (C) Siam Bee Technologies 2015 1 VSOC 2 MINUS 1 PLUS f(x)=0 Solver Configuration PSS V + - PS S +- 0.03 RTS 0.034 RTL IBAT RTS CTS CAH N TSCALE RTCT_S RTCT_S_EQV IBAT RTL CTL CAH N TSCALE RTCT_L RTCT_L_EQV IBAT RS N CAH RSO RS_EQV 0.045 RS PS S PSS + - U + - U -K- -K- f(u) SOC VOUT EOCV I + - 1800 CTS 15000 CTL TSCALE CAH IBAT SOC_SETTING SOC0 CAPACITY +- 4 %SOC 3 Tscale 2 C 1 NS
- 5. 3. Concept ofthe Model 5 Li-Ion battery MATLAB/Simulink Model [Spec: C, NS] Adjustable SOC : 0-100(%) + - • The model is characterized by parameters: C, which represent the battery capacity and SOC, which represent the battery initial capacity level. • Open-circuit voltage (VOC) vs. SOC is included in the model as a behavioral model. • NS (Number of Cells in series) is used when the Li-ion cells are in series to increase battery voltage level. Output Characteristics All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 6. VB VIN 5V 1 Tscale 100 Soc V + I + - SENSE_IBAT PSS PS S OUTPUT 1 Ns NS C Tscale %SOC VSOC PLUS MINUS LI-ION_BATTERY ICHG 0.5C (700mA)1.4 Capacity 4.Pin Configurations C is the amp-hour battery capacity [Ah] – e.g. C = 0.2, 1.4, or 2.0 [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=100 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. 6 Model Parameters: Probe “SOC” All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 7. VBATT Vo (4.2 VIN 5V 1 Tscale 100 Soc +- V + - I + - SENSE_IBAT PSS PS S OUTPUT 1 Ns NS C Tscale %SOC VSOC PLUS MINUS LI-ION_BATTERY ICHG 0.5C (700mA)1.4 Capacity 5.Li-Ion Battery Specification (Example) • The battery information refer to a battery part number LIR18500 of EEMB BATTERY. 7 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 Table 1 All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 8. 5.1 Charge TimeCharacteristic 8 • Charging Voltage: 4.20V±0.05V • Charging Current: 700mA (0.5C Charge) Current=700mA Voltage=4.20V Measuremet Data Simulation SOC=0 means battery start from 0% of capacity (empty) %SOC (Second) VBATT VIN 5V 1 Tscale 0 Soc +- V + - I + - SENSE_IBAT PSS PS S OUTPUT 1 Ns NS C Tscale %SOC VSOC PLUS MINUS LI-ION_BATTERY ICHG 0.5C (700mA)1.4 Capacity All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 9. VBATT Voch (4.24*Ns)-0.07 VIN 5V 1 Tscale 0 Soc +- V + - I + - SENSE_IBAT PSS PS S OUTPUT 1 Ns NS C Tscale %SOC VSOC PLUS MINUS LI-ION_BATTERY ICHG 0.5C (700mA)1.4 Capacity 5.1.1Charge Time Characteristic Simulation Circuit 9 Over-Voltage Protector: (Charging Voltage*1) - VF of Diode Input Voltage All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 10. 5.1.2 Charge TimeCharacteristic Simulation Settings 10 Table 2: Simulation settings Property Value StartTime 0 StopTime 12000 AbsTol auto InitialStep auto ZcThreshold auto MaxConsecutiveZCs 1000 NumberNewtonIterations 1 MaxStep 1 MinStep auto MaxConsecutiveMinStep 1 RelTol 1e-3 SolverMode Auto Solver ode23t SolverName ode23t SolverType Variable-step SolverJacobianMethodControl auto ShapePreserveControl DisableAll ZeroCrossControl UseLocalSettings ZeroCrossAlgorithm Adaptive SolverResetMethod Fast All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 11. 5.2 Discharge TimeCharacteristic Simulation Circuit 11 • Battery voltage vs. time are simulated at 0.2C, 0.5C, and 1C discharge rates. battery starts from 100% of capacity (fully charged) VBAT 1 Tscale 100 Soc V + - PSS 1 Ns NS C Tscale %SOC VSOC PLUS MINUS LI-ION_BATTERY IDIS 0.2C (280mA) 1.4 Capacity All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 12. 12 0.2C discharge (280mA) 5.2.1Discharge Time Waveform 1400mAh (0.2C discharge) • Nominal Voltage: 3.7V • Discharge cut-off voltage: 2.75V (Second) All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 13. 13 0.5C discharge (700mA) 5.2.2Discharge Time Waveform 1400mAh (0.5C discharge) • Nominal Voltage: 3.7V • Discharge cut-off voltage: 2.75V (Second) All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 14. 14 1.0C discharge (1400mA) 5.2.3Discharge Time Waveform 1400mAh (1.0C discharge) • Nominal Voltage: 3.7V • Discharge cut-off voltage: 2.75V (Second) All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 15. 15 5.2.4 Discharge TimeCharacteristic Simulation Settings Table 3: Simulation settings Property Value StartTime 0 StopTime 24000, 9600, 4800 AbsTol auto InitialStep auto ZcThreshold auto MaxConsecutiveZCs 1000 NumberNewtonIterations 1 MaxStep 10 MinStep auto MaxConsecutiveMinStep 1 RelTol 1e-3 SolverMode Auto Solver ode23t SolverName ode23t SolverType Variable-step SolverJacobianMethodControl auto ShapePreserveControl DisableAll ZeroCrossControl UseLocalSettings ZeroCrossAlgorithm Adaptive SolverResetMethod Fast All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 16. 0.0 0.2 0.4 0.6 0.8 1.0 1.2 0 0.2 0.40.6 0.8 1 DischargeCapacity (%vs.0.2C) Battery Discharge Current (vs. C Rate) Mesurement Simulation 5.3 Vbat vs. SOC Characteristic 16 • Nominal Voltage: 3.7V • Capacity: 1400mAh (0.2C discharge) • Discharge cut-off voltage: 2.75V 2.60 2.80 3.00 3.20 3.40 3.60 3.80 4.00 4.20 4.40 -0.200.20.40.60.81 Voltage(V) Capacity (%) 0.5C 0.2C 1C Measurement Data Simulation Simulation Vbat vs. SOC 1 Tscale 100 Soc V + - PSS 1 Ns NS C Tscale %SOC VSOC PLUS MINUS LI-ION_BATTERY IDIS 1400mAh*(discharge rate) 1.4 Capacity 100 Cal VBAT SOC All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 17. 5.3.1 Vbat vs.SOC Characteristic Simulation Circuit 17 Vbat vs. SOC 1 Tscale 100 Soc V + - PSS 1 Ns NS C Tscale %SOC VSOC PLUS MINUS LI-ION_BATTERY IDIS 1400mAh*(discharge rate) 1.4 Capacity 100 Cal VBAT SOC All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 18. 5.3.2 Vbat vs.SOC Characteristic Simulation Settings 18 Table 4: Simulation settings Property Value StartTime 0 StopTime 19200 AbsTol auto InitialStep auto ZcThreshold auto MaxConsecutiveZCs 1000 NumberNewtonIterations 1 MaxStep 10 MinStep auto MaxConsecutiveMinStep 1 RelTol 1e-3 SolverMode Auto Solver ode23t SolverName ode23t SolverType Variable-step SolverJacobianMethodControl auto ShapePreserveControl DisableAll ZeroCrossControl UseLocalSettings ZeroCrossAlgorithm Adaptive SolverResetMethod Fast All Rights Reserved Copyright (C) Siam Bee Technologies 2015
- 19. 6. Port Specifications 19 Table6 Parameter Simulink Simscape NS O C O TSCALE O %SOC O VSOC O PLUS O MINUS O VSOC VIN 5V 60 Tscale 0 Soc SENSE_ I + - SENSE_IBAT PS S PS S 1 Ns NS C Tscale %SOC VSOC PLUS MINUS LI-ION_BATTERY ICHG 0.5C IBAT 1.4 Capacity Battery Model All Rights Reserved Copyright (C) Siam Bee Technologies 2015