1. Lithium Ion Capacitor Simplified SPICE Behavioral Model Copyright (C) Siam Bee Technologies 20151 PSpice Version Bee Technologies

2. Contents 1.Benefit of the Model 2.Model Feature 3.Concept of the Model 4.Parameter Settings 5.Li-Ion Capacitor Specification (Example) 5.1 Charge Time Characteristic 5.2 Discharge Time Characteristic Simulation Index Copyright (C) Siam Bee Technologies 20152

3. 1. Benefit of the Model The model enables circuit designer to predict and optimize Li-Ion Capacitor runtime and circuit performance. The model can be easily adjusted to your own Li-Ion Capacitor 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 Copyright (C) Siam Bee Technologies 20153

4. This Li-Ion Capacitor Simplified SPICE Behavioral Model is for users who require the model of a Li-Ion Capacitor as a part of their system. Capacitor Voltage(V cap ) vs. Capacitor Capacity Level (SOC) Characteristic, that can perform battery charge and discharge time at various current rate conditions, are accounted by the model. 2. Model Feature Copyright (C) Siam Bee Technologies 20154 Equivalent circuit of Li-Ion Capacitor model

5. 3. Concept of the Model Copyright (C) Siam Bee Technologies 20155 Li-Ion capacitor Simplified SPICE Behavioral Model [Spec: CAP,ESR,RDC, NS] Adjustable SOC [ 0-100 (%) ] + - The model is characterized by parameters: C, which represent the capacitor capacity and SOC, which represent the capacitor initial capacity level. Open-circuit voltage (V OC ) vs. SOC is included in the model as an analog behavioral model (ABM). NS ( Number of Cells in series ) is used when the Li-ion cells are in series to increase battery voltage level. Output Characteristics

6. 4. Parameter Settings CAP is the amp-hour capacity [F] –e.g. C = 10, 100, or 1000 [F] ESR is the equivalent series resistance of capacitors –e.g. C = 0.1m , 1m , or 10m  [  ] RDC is the DC resistance of capacitors –e.g. C = 0.1m , 1m , or 10m  [  ] NS is the number of cells in series –e.g. NS=1 for 1 cell capacitor, NS=2 for 2 cells capacitor (capacitor voltage is double from 1 cell) SOC is the initial state of charge in percent –e.g. SOC=0 for a empty capacitor (0%), SOC=1 for a full charged capacitor (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 Capacitor specification, the model is characterized by setting parameters CAP, ESR, RDC, NS, SOC and TSCALE. Copyright (C) Siam Bee Technologies 20156 Model Parameters: (Default values)

7. 5. Li-Ion Capacitor Specification (Example) Copyright (C) Siam Bee Technologies 20157 Capacitance capacity, ESR and DCR are input as a model parameter Rated Voltage3.8V Minimal Operating Voltage (Cutoff Voltage) 2.2V Capacitance/Capacity1000F ESR 0.8m  DCR 1.2m 

8. 5.1 Charge Time Characteristic Copyright (C) Siam Bee Technologies 20158 Rated Voltage: 3.8V Cutoff Voltage: 2.2V Charging Current: 5A Capacity=100% (second) MeasurementSimulation SOC=0 means capacitor start from 0% of capacity (empty)

9. 5.1 Charge Time Characteristic  Simulation Circuit and Setting *Analysis directives:.TRAN 0 350.85s 0 100m.PROBE V(alias(*)) I(alias(*)) W(alias(*)) D(alias(*)) NOISE(alias(*)) Copyright (C) Siam Bee Technologies 20159 TSCALE turn 1 is equaled 1 second into a second TSCALE turn 1 is equaled 1 second into a second Charging Current

10. Copyright (C) Siam Bee Technologies 201510 MeasurementSimulation (second) Rated Voltage: 3.8V Cutoff Voltage: 2.2V Discharge Current: 5A SOC=0 means capacitor start from 100% of capacity (Full) 5.2 Discharge Time Characteristic

11. 5.2 Discharge Time Characteristic  Simulation Circuit and Setting Copyright (C) Siam Bee Technologies 201511 *Analysis directives:.TRAN 0 315s 0 100m.PROBE V(alias(*)) I(alias(*)) W(alias(*)) D(alias(*)) NOISE(alias(*)) Discharging Current

12. Copyright (C) Siam Bee Technologies 201512 TopicActive Profile 5A Charge Voltage vs. Time CharacteristicV-t_5A-Chrg-trans 5A Discharge Voltage vs. Time CharacteristicV-t_5A-Dsch-trans [Active Profile Index] Select to Active the Profile