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Nickel-Metal Hydride Battery
Simplified SPICE Behavioral Model



        All Rights Reserved Copyright (C) Bee Technologies Corporation 2011   1
Contents
 1. Benefit of the Model
 2. Model Feature
 3. Concept of the Model
 4. Parameter Settings
 5. Ni-Mh Battery Specification (Example)
     5.1 Charge Time Characteristic
     5.2 Discharge Time Characteristic
     5.3 Vbat vs. SOC Characteristic
 6. Extend the number of Cell (Example)
     6.1 Charge Time Characteristic, NS=7
     6.2 Discharge Time Characteristic, NS=7
 Library Files and Symbol Files Location
     Simulation Index

                 All Rights Reserved Copyright (C) Bee Technologies Corporation 2011   2
1. Benefit of the Model

•   The model enables circuit designer to predict and optimize Ni-MH
    battery runtime and circuit performance.

•   The model can be easily adjusted to your own Ni-MH battery
    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.




                   All Rights Reserved Copyright (C) Bee Technologies Corporation 2011   3
2. Model Feature


•   This Ni-MH Battery Simplified SPICE Behavioral Model is for users who
    require the model of a Ni-MH Battery as a part of their system.
•   The model accounts for Battery Voltage(Vbat) vs. Battery Capacity Level (SOC)
    Characteristic, so it can perform battery charge and discharge time at
    various current rate conditions.
•   As a simplified model, the effects of cycle number and temperature are
    neglected.




                    All Rights Reserved Copyright (C) Bee Technologies Corporation 2011   4
3. Concept of the Model


                     Ni-Mh battery                                             +
                     Simplified SPICE Behavioral Model
                     [Spec: C, NS]
                                                                                             Output
                                                                                          Characteristics
                     Adjustable SOC [ 0-1(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 an analog
  behavioral model (ABM).
• NS (Number of Cells in series) is used when the Ni-mh cells are in series to
  increase battery voltage level.

                    All Rights Reserved Copyright (C) Bee Technologies Corporation 2011                     5
4. Parameter Settings
                                            Model Parameters:
                                           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%)


    (Default values)                       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.

                         All Rights Reserved Copyright (C) Bee Technologies Corporation 2011          6
5. Ni-Mh Battery Specification (Example)


                                           Nominal Voltage                            1.2V

                                                                      Typical         1350mAh
                                           Capacity
                                                                     Minimum          1250mAh

                                           Charging Current × Time                    1350mA × about 1.1h

                                           Discharge cut-off voltage                  1.0V
                 Battery capacity
                  Battery capacity
                [Typ.] is input as aa
                 [Typ.] is input as
                 model parameter
                  model parameter




•   The battery information refer to a battery part number HF-A1U of SANYO.


                        All Rights Reserved Copyright (C) Bee Technologies Corporation 2011                 7
5.1 Charge Time Characteristic
   Measurement                                                Simulation




                                                                                       Charge: 1350mA




                                                                                                        (min.)



                                                       • Charging Current: 1350mA × about 1.1h


                     SOC=0 means
                       SOC=0 means
                  battery start from 0%
                   battery start from 0%
                   of capacity (empty)
                    of capacity (empty)

                 All Rights Reserved Copyright (C) Bee Technologies Corporation 2011                8
5.1 Charge Time Characteristic
− Simulation Circuit and Setting




Charge Voltage
 Charge Voltage


                    AAconstant current charger at
                       constant current charger at
                        rate of capacity (e.g.
                         rate of capacity (e.g.
                            1×1350mA)
                             1×1350mA)
                                                                                              11minute into aa
                                                                                                 minute into
                                                                                           second (in simulation)
                                                                                            second (in simulation)




.TRAN 0 62 0 0.025
.LIB ni-mh_battery.sub


                     All Rights Reserved Copyright (C) Bee Technologies Corporation 2011                      9
5.2 Discharge Time Characteristic
•   Battery voltage vs. time are simulated at 0.2C, 1.0C, and 2.0C discharge rates.




                                                                                              0.2C



                    TSCALE turns 11minute into aa
                     TSCALE turns minute into
                 second(in simulation), battery starts
                  second(in simulation), battery starts                             1C
                     from 100% of capacity (fully
                       from 100% of capacity (fully
                               charged)
                                charged)                                       2C




.TRAN 0 360 0 100m                                                                                        (min.)
.STEP PARAM rate LIST 0.2, 1, 2
.LIB ni-mh_battery.sub

                        All Rights Reserved Copyright (C) Bee Technologies Corporation 2011          10
5.3 Vbat vs. SOC Characteristic
   Measurement                                                           Simulation




                                                                              270mA
                                                                                          1350mA
                                                                                                     2700mA



                                                                                                                                  (Ah)



                                                                         Simulation
                                                               1.2
                                                               1.0

                                                               0.8

                                                               0.6

                                                               0.4
                                                                                                                Mesurement
                                                               0.2
                                                        C
                                                        A




 • Nominal Voltage: 1.2V
                                                        p
                                                        a
                                                        u
                                                        y
                                                        c




                                                                                                                Simulation
                                                        t
                                                        i
                                                        l
                                                          %
                                                          C
                                                          R




                                                               0.0
                                                          p
                                                          d
                                                          e
                                                          a
                                                          o
                                                          y
                                                          c
                                                          )
                                                          (
                                                          t
                                                          f
                                                          i




 • Capacity: 1350mAh                                                 0          1          2          3           4          5
 • Discharge cut-off voltage: 1.0V                                            Discharge Rate (Multiples of C)

                     All Rights Reserved Copyright (C) Bee Technologies Corporation 2011                                     11
5.3 Vbat vs. SOC Characteristic
− Simulation Circuit and Setting




                 AAconstant current
                    constant current
                discharger at rate of
                 discharger at rate of
             capacity (e.g. 1×1350mA)
              capacity (e.g. 1×1350mA)
                                                                                              11minute into aa
                                                                                                 minute into
                                                                                           second (in simulation)
                                                                                            second (in simulation)



.TRAN 0 360 0 100m
.STEP PARAM rate LIST 0.2, 1, 2
.LIB ni-mh_battery.sub

                     All Rights Reserved Copyright (C) Bee Technologies Corporation 2011                    12
6. Extend the number of Cell (Example)

                                                                                                  Ni-MH needs 77
                                                                                                   Ni-MH needs
                                                                                                   cells to reach
                                                                                                    cells to reach
                                                                                                 this voltage level
                                                                                                  this voltage level
                                        Basic Specification

                                                   Voltage - Rated                       8.4V


                                                   Capacity                              1500mAh


                                                   Structure                             1 Row x 7 Cells Side to Side
                 The number of
                   The number of
                 cells in series is
                   cells in series is              Number of Cells                       7
                input as aamodel
                  input as model
                    parameter
                      parameter


                                     Voltage − Rated     8.4
                   NS =                                =
                                Ni - MH Nominal Voltage 1.2
•   The battery information refer to a battery part number HHR-150AAB01F7
    of Panasonic.


                        All Rights Reserved Copyright (C) Bee Technologies Corporation 2011                             13
6.1 Charge Time Characteristic, NS=7
                                                                    The battery needs 5 hours to be fully charged




                                    Voltage




                                                                                                                    (hour)



•   Charging Current: 300mA (0.2 Charge)


                    All Rights Reserved Copyright (C) Bee Technologies Corporation 2011                               14
6.1 Charge Time Characteristic, NS=7
 − Simulation Circuit and Setting




Charge Voltage
 Charge Voltage




                                                                                            11hour into aasecond
                                                                                               hour into second
                                                                                               (in simulation)
                                                                                                 (in simulation)
 .TRAN 0 5.2 0 2.5m
 .LIB ni-mh_battery.sub


                      All Rights Reserved Copyright (C) Bee Technologies Corporation 2011                  15
6.2 Discharge Time Characteristic, NS=7




                                                                                    0.2C

                                     0.5C

                  1C




                                                                                             (hour)



• Voltage - Rated: 8.4V
• Discharging Current: 300mA(0.2C), 750mA(0.5C), 1500mA(1.0C)

                       All Rights Reserved Copyright (C) Bee Technologies Corporation 2011      16
6.2 Discharge Time Characteristic, NS=7
− Simulation Circuit and Setting
                                          Parametric sweep
                                            Parametric sweep
                                        “rate” for multiple rate
                                         “rate” for multiple rate
                                         discharge simulation
                                          discharge simulation




                                                                                          11hour into aasecond
                                                                                             hour into second
                                                                                             (in simulation)
                                                                                               (in simulation)



.TRAN 0 6 0 2.5m
.STEP PARAM rate LIST 0.2, 0.5, 1
.OPTIONS RELTOL=0.01
.LIB ni-mh_battery.sub
                    All Rights Reserved Copyright (C) Bee Technologies Corporation 2011                  17
Library Files and Symbol Files Location
…Simulation




                                                       Copy/
                                                        Copy/
                                                       Paste
                                                        Paste                         C:Program FilesLTCLTspiceIVlibsub
                                                        into
                                                          into




                                                       Copy/
                                                        Copy/
                                                       Paste
                                                        Paste
                                                        into
                                                          into                        C:Program FilesLTCLTspiceIVlibsym




1. Copy the library files (.lib) from the folder …Simulation.sub, then paste into the folder C:Program
  FilesLTCLTspiceIVlibsub
2. Copy the symbol files(.asy) from the folder …Simulation.asy, then paste into the folder
  C:Program FilesLTCLTspiceIVlibsym


                                All Rights Reserved Copyright (C) Bee Technologies Corporation 2011                        18
Simulation Index

Simulations                                                                         Folder name
1. Charge Time Characteristic.................................                      Charge_Time
2. Discharge Time Characteristic.............................                       Discharge_Time
3. Vbat vs. SOC Characteristic..................................                    Discharge_SOC
4. Charge Time Characteristic, NS=7....................... Charge_Time(NS)
5. Discharge Time Characteristic, NS=7................... Discharge_Time(NS)




                       All Rights Reserved Copyright (C) Bee Technologies Corporation 2011           19

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Simple Model of Ni-MH Battery Model using LTspice

  • 1. Nickel-Metal Hydride Battery Simplified SPICE Behavioral Model All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 1
  • 2. Contents 1. Benefit of the Model 2. Model Feature 3. Concept of the Model 4. Parameter Settings 5. Ni-Mh Battery Specification (Example) 5.1 Charge Time Characteristic 5.2 Discharge Time Characteristic 5.3 Vbat vs. SOC Characteristic 6. Extend the number of Cell (Example) 6.1 Charge Time Characteristic, NS=7 6.2 Discharge Time Characteristic, NS=7 Library Files and Symbol Files Location Simulation Index All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 2
  • 3. 1. Benefit of the Model • The model enables circuit designer to predict and optimize Ni-MH battery runtime and circuit performance. • The model can be easily adjusted to your own Ni-MH battery 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. All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 3
  • 4. 2. Model Feature • This Ni-MH Battery Simplified SPICE Behavioral Model is for users who require the model of a Ni-MH Battery as a part of their system. • The model accounts for Battery Voltage(Vbat) vs. Battery Capacity Level (SOC) Characteristic, so it can perform battery charge and discharge time at various current rate conditions. • As a simplified model, the effects of cycle number and temperature are neglected. All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 4
  • 5. 3. Concept of the Model Ni-Mh battery + Simplified SPICE Behavioral Model [Spec: C, NS] Output Characteristics Adjustable SOC [ 0-1(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 an analog behavioral model (ABM). • NS (Number of Cells in series) is used when the Ni-mh cells are in series to increase battery voltage level. All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 5
  • 6. 4. Parameter Settings Model Parameters: 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%) (Default values) 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. All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 6
  • 7. 5. Ni-Mh Battery Specification (Example) Nominal Voltage 1.2V Typical 1350mAh Capacity Minimum 1250mAh Charging Current × Time 1350mA × about 1.1h Discharge cut-off voltage 1.0V Battery capacity Battery capacity [Typ.] is input as aa [Typ.] is input as model parameter model parameter • The battery information refer to a battery part number HF-A1U of SANYO. All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 7
  • 8. 5.1 Charge Time Characteristic Measurement Simulation Charge: 1350mA (min.) • Charging Current: 1350mA × about 1.1h SOC=0 means SOC=0 means battery start from 0% battery start from 0% of capacity (empty) of capacity (empty) All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 8
  • 9. 5.1 Charge Time Characteristic − Simulation Circuit and Setting Charge Voltage Charge Voltage AAconstant current charger at constant current charger at rate of capacity (e.g. rate of capacity (e.g. 1×1350mA) 1×1350mA) 11minute into aa minute into second (in simulation) second (in simulation) .TRAN 0 62 0 0.025 .LIB ni-mh_battery.sub All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 9
  • 10. 5.2 Discharge Time Characteristic • Battery voltage vs. time are simulated at 0.2C, 1.0C, and 2.0C discharge rates. 0.2C TSCALE turns 11minute into aa TSCALE turns minute into second(in simulation), battery starts second(in simulation), battery starts 1C from 100% of capacity (fully from 100% of capacity (fully charged) charged) 2C .TRAN 0 360 0 100m (min.) .STEP PARAM rate LIST 0.2, 1, 2 .LIB ni-mh_battery.sub All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 10
  • 11. 5.3 Vbat vs. SOC Characteristic Measurement Simulation 270mA 1350mA 2700mA (Ah) Simulation 1.2 1.0 0.8 0.6 0.4 Mesurement 0.2 C A • Nominal Voltage: 1.2V p a u y c Simulation t i l % C R 0.0 p d e a o y c ) ( t f i • Capacity: 1350mAh 0 1 2 3 4 5 • Discharge cut-off voltage: 1.0V Discharge Rate (Multiples of C) All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 11
  • 12. 5.3 Vbat vs. SOC Characteristic − Simulation Circuit and Setting AAconstant current constant current discharger at rate of discharger at rate of capacity (e.g. 1×1350mA) capacity (e.g. 1×1350mA) 11minute into aa minute into second (in simulation) second (in simulation) .TRAN 0 360 0 100m .STEP PARAM rate LIST 0.2, 1, 2 .LIB ni-mh_battery.sub All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 12
  • 13. 6. Extend the number of Cell (Example) Ni-MH needs 77 Ni-MH needs cells to reach cells to reach this voltage level this voltage level Basic Specification Voltage - Rated 8.4V Capacity 1500mAh Structure 1 Row x 7 Cells Side to Side The number of The number of cells in series is cells in series is Number of Cells 7 input as aamodel input as model parameter parameter Voltage − Rated 8.4 NS = = Ni - MH Nominal Voltage 1.2 • The battery information refer to a battery part number HHR-150AAB01F7 of Panasonic. All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 13
  • 14. 6.1 Charge Time Characteristic, NS=7 The battery needs 5 hours to be fully charged Voltage (hour) • Charging Current: 300mA (0.2 Charge) All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 14
  • 15. 6.1 Charge Time Characteristic, NS=7 − Simulation Circuit and Setting Charge Voltage Charge Voltage 11hour into aasecond hour into second (in simulation) (in simulation) .TRAN 0 5.2 0 2.5m .LIB ni-mh_battery.sub All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 15
  • 16. 6.2 Discharge Time Characteristic, NS=7 0.2C 0.5C 1C (hour) • Voltage - Rated: 8.4V • Discharging Current: 300mA(0.2C), 750mA(0.5C), 1500mA(1.0C) All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 16
  • 17. 6.2 Discharge Time Characteristic, NS=7 − Simulation Circuit and Setting Parametric sweep Parametric sweep “rate” for multiple rate “rate” for multiple rate discharge simulation discharge simulation 11hour into aasecond hour into second (in simulation) (in simulation) .TRAN 0 6 0 2.5m .STEP PARAM rate LIST 0.2, 0.5, 1 .OPTIONS RELTOL=0.01 .LIB ni-mh_battery.sub All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 17
  • 18. Library Files and Symbol Files Location …Simulation Copy/ Copy/ Paste Paste C:Program FilesLTCLTspiceIVlibsub into into Copy/ Copy/ Paste Paste into into C:Program FilesLTCLTspiceIVlibsym 1. Copy the library files (.lib) from the folder …Simulation.sub, then paste into the folder C:Program FilesLTCLTspiceIVlibsub 2. Copy the symbol files(.asy) from the folder …Simulation.asy, then paste into the folder C:Program FilesLTCLTspiceIVlibsym All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 18
  • 19. Simulation Index Simulations Folder name 1. Charge Time Characteristic................................. Charge_Time 2. Discharge Time Characteristic............................. Discharge_Time 3. Vbat vs. SOC Characteristic.................................. Discharge_SOC 4. Charge Time Characteristic, NS=7....................... Charge_Time(NS) 5. Discharge Time Characteristic, NS=7................... Discharge_Time(NS) All Rights Reserved Copyright (C) Bee Technologies Corporation 2011 19