Electric Double-Layer Capacitor(EDLC) Simulink Model using MATLAB

Electric Double-Layer
Capacitor (EDLC)
Simplified Simulink Model
using Matlab
All Rights Reserved Copyright (C) Siam Bee Technologies 2015 1
Bee Technologies
MATLAB Version

Contents
1. Benefit of the Model
2. Model Feature
3. Simulink Model of Electric Double-Layer Capacitor (ELDC)
4. Concept of the Model
5. Pin Configurations
6. Electric Double-Layer Capacitor (ELDC) Specification (Example)
6.1.1 Charge Time Characteristic (Simulation Circuit)
6.1.2 Charge Time Characteristic (Simulation Waveform)
6.1.3 Charge Time Characteristic (Simulation Settings)
6.2.1 Discharge Time Characteristic (Simulation Circuit)
6.2.2 Discharge Time Characteristic (Simulation Waveform)
6.2.3 Discharge Time Characteristic (Simulation Settings)
7. Port Specifications
Simulation Index
2All Rights Reserved Copyright (C) Siam Bee Technologies 2015

1. Benefit of the Model
• The model enables circuit designer to predict and optimize Electric
Double-Layer Capacitor (EDLC) runtime and circuit performance.
• The model can be easily adjusted to your own EDLC specifications
by editing a few parameters that are provided in the datasheet.
• The model is optimized to reduce the convergence error and the
simulation time
3All Rights Reserved Copyright (C) Siam Bee Technologies 2015

• This Electric Double-Layer Capacitor (ELDC) Simplified Simulink Model is
for users who require the model of a Capacitor as a part of their system.
• Capacitor Voltage(VCAP) vs. Time (s) Characteristic, that can perform
Capacitor charge and discharge time at various current rate conditions, are
accounted by the model.
2. Model Feature
4
Simplified Equivalent Circuit Model
All Rights Reserved Copyright (C) Siam Bee Technologies 2015

2
MINUS
1
PLUS
3. Simulink Model of Electric Double-Layer
Capacitor (ELDC)
5
Equivalent Circuit of Electric Double-Layer Capacitor Model using Matlab

4. Concept of the Model
6
Electric Double-Layer Capacitor
Simplified Simulink Model
[Spec: VRATE, CAP, ESR, TSCALE]
Adjustable VINT : 0 - VRATE
: VINTVRATE
+
-
• The model is characterized by parameters: “VRATE, CAP”,
which represent the Capacity and “VINT” which represent the
initial capacity level.
Output
Characteristics
All Rights Reserved Copyright (C) Bee Technologies Corporation 2015All Rights Reserved Copyright (C) Siam Bee Technologies 2015

5. Pin Configurations
CAP (F) is the capacitance at rated voltage [Farad]
– e.g. CAP = 0.1, 0.47, or 10 [Farad]
VRATE is the rated dc voltage of capacitor [V]
– e.g. VRATE= 2.5, 4.2 or 5.5 [V]
VINT is the initial voltage [V]
– VINT  VRATE
ESR is the equivalent series resistance of capacitors
– e.g. ESR = 0.1m, 1m, or 10m []
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 Electric Double-Layer Capacitor specification, the model is characterized by
setting parameters VRATE, VINT, CAP (F), ESR and TSCALE
7
Model Parameters:

6. Electric Double-Layer Capacitor (ELDC)
Specification (Example)
8
Rated dc voltage 4.2V
DC capacitance 0.47F
ESR 0.13
All Rights Reserved Copyright (C) Bee Technologies Corporation 2015
Table 1EDLC Model is characterized by
VRATE, VINT, CAP (F), ESR
TSCALE
set to “1”

6.1.1 Charge Time Characteristic
 Simulation Circuit
9All Rights Reserved Copyright (C) Bee Technologies Corporation 2015
• Voltage vs. time are simulated at 1.0A charging current.
ELDC starts from 0 of
capacity (empty)

 Simulation Waveform
(Sec)
• Rated Voltage: 4.2V
• Initial Condition: 0V
• Charging Current: 1A
Measurement Simulation
1.0A charging current
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
0 0.5 1 1.5 2 2.5
CapacitorVoltage(V)
Time(s)
Charge Time Chracteristic
V
25C
(Second)

 Simulation Settings
Table 2: Simulation settings
Property Value
StartTime 0
StopTime 2.5
AbsTol auto
InitialStep auto
ZcThreshold auto
MaxConsecutiveZCs 1000
NumberNewtonIterations 1
MaxStep 0.001
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

6.2.1 Discharge Time Characteristic
 Simulation Circuit
• Voltage vs. time are simulated at 1.0A discharge current.
ELDC starts from
4.2V of capacity
(fully charged)

 Simulation Waveform
• Rated Voltage: 4.2V
• Initial Condition: 4.2V
• Discharge Current: 1A
Measurement Simulation
1.0A discharge current
(Second)

 Simulation Settings
Table 3: Simulation settings
Property Value
StartTime 0
StopTime 2
AbsTol auto
InitialStep auto
ZcThreshold auto
MaxConsecutiveZCs 1000
NumberNewtonIterations 1
MaxStep 0.001
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

7. Port Specifications
Table 4
Parameter Simulink Simscape
VRATE O
CAP (F) O
TSCALE O
VINT O
ESR O
PLUS O
MINUS O

Simulation Index
16
Simulations Folder name
1. Charge Time Characteristic...................................................
2. Discharge Time Characteristic...............................................
Charge-Current
Discharge-Current

Electric Double-Layer Capacitor(EDLC) Simulink Model using MATLAB

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