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

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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

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• 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

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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

: VINTVRATE

+

-

• The model is characterized by parameters: “VRATE, CAP”,

which represent the Capacity and “VINT” which represent the

initial capacity level.

Output Characteristics

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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

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Table 1 EDLC Model is characterized by

VRATE, VINT, CAP (F), ESR

TSCALE

set to “1”


6.1.1 Charge Time Characteristic Simulation Circuit

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• Voltage vs. time are simulated at 1.0A charging current.

ELDC starts from 0 of

capacity (empty)



6.1.2 Charge Time Characteristic 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

Cap

acit

or

Vo

ltag

e(V

)

Time(s)

Charge Time Chracteristic

V

25C

(Second)


6.1.3 Charge Time Characteristic 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)



6.2.2 Discharge Time Characteristic Simulation Waveform

• Rated Voltage: 4.2V

• Initial Condition: 4.2V

• Discharge Current: 1A

Measurement Simulation

1.0A discharge current

(Second)



6.2.3 Discharge Time Characteristic 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

Engineering

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