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1. The Simulation of DC Motor Control Circuit




 Key simulation models

    DC Motor Model
    ⇒The model features on transient characteristics of the motor.

    LM555 Timer IC Model
    ⇒The model features on functions of the IC.




                    All Rights Reserved Copyright (C) Bee Technologies Inc. 2011   1
2.1 Manufacturer Specification

     MABUCHI MOTOR RS-380PH




     •   Voltage Range..........................12.0 V

     •   Normal Voltage.........................7.2 V

     •   Normal Load.............................9.8 mNm

     •   Speed at No Load.....................16,400 rpm

     •   At Normal Load

           • Speed................................14,200 rpm

           • Current...............................2.9A




                              All Rights Reserved Copyright (C) Bee Technologies Inc. 2011   2
2.2 Torque Constant and Back EMF Constant


   •   The Torque Constant KT is obtained as:

                                        Torque  KT  I 1                               (1)
        RS-380PH at Normal Load:
             Torque = 9.8 mNm
             INormal Load = 2.9 A
             KT = 9.8/2.9 = 3.379 mNm/A



   •   The Back EMF Constant KE is obtained as:

                                      VEMF  KE  Speed                                 (2)
        RS-380PH at No Load:
              Speed = 16,400 rpm

              VEMF = VNormal - RMINo Load = 7.2-0.3456 = 6.8544 V

                  ,RM=0.576 and INo Load =0.6A (measurement data).

              KE =6.8544/16,400 = 0.41795 mV/rpm

                         All Rights Reserved Copyright (C) Bee Technologies Inc. 2011         3
2.3 The Armature Inductance and Resistance




                                                                    Calculated

                    Measured




                    Precision Impedance Analyzer |Z| vs. Frequency measured data.




    •   The Armature Inductance and Resistance are obtained with a Precision Impedance
        Anayzer (Agilent 4294A)
    •   LS = 165 uH and RS = 575.977 m



                         All Rights Reserved Copyright (C) Bee Technologies Inc. 2011    4
2.5 Transient Response at No Load



                                     Measurement             •     The test setup include 12Vdc source
                                                                   ,series resistor and the motor.

                                                             •     The result is used to obtain the start-up
      Start-up current
                                                                   current and the steady state current.

                                                             •     The time constant of the current
                                                                   response will be used to determine the
                                 Steady-state current              parameters that model the motor shaft’s
                                                                   inertia.
     Time constant




This figure is the motor current and voltage at
start-up transient (oscilloscope screen captured).




                             All Rights Reserved Copyright (C) Bee Technologies Inc. 2011                      5
2.6 Transient Response at No Load (Model)


                                                            Simulation




            Start-up current




                                                  Steady-state current                        Torque constant and
                                                                                              back EMF constant.
            Time constant



                                   Time (s)


    •   This figure shows the result of the start-up transient simulation with RS-380PH motor
        model at condition 12V ,no load.




                               All Rights Reserved Copyright (C) Bee Technologies Inc. 2011                         6
2.7 Speed at No Load (Model)

                 Simulation

                                                                                                      Speed at No Load
                                                                                                      =16,400 rpm.




                                                                                                       Normal Voltage
                                                                                                       =7.2V.




                                                                                 Motor current




                                                  Time (s)

    •   This figure shows the simulated speed at no load (16,400rpm). To monitor the speed ,trace
        “ I(U1.Vrpm) ” inside the model .SUBCKT.
       Note: To show I(U1.Vrmp), select  "Save Subcircuit Device Currents“ ( Tool > Control Panel > Save Default [tab] ).

                               All Rights Reserved Copyright (C) Bee Technologies Inc. 2011                                   7
2.8 The Motor Steady-State Current Condition Setting (1/2)


                                                  Simulation




                                                                  Steady-state current
                                                                  =3.8A (motor with fan)
                                                                                           Input the Steady-State
                                           Steady-state current                            Current load condition.
                                           =0.6A (no load)                                 (ex. IL=0.6A for the No
                                                                                           Load or IL=3.8A for the
                                                                                               motor with fan).




                         Time (s)


    •   This figure shows the current waveforms of the motor with the different rated torque load
        ,that result as the different steady-state current.
    •   Since the simulations are focused on the electrical world ,the RS-380PH spice model is
        directly conditioned by input the steady-state current.

                          All Rights Reserved Copyright (C) Bee Technologies Inc. 2011                               8
2.8 The Motor Steady-State Current Condition Setting (2/2)

   Steady-state current simulated result will match the model input value “IL” only when the condition Vcc is 12Vdc .
    In the other case , “IL” value is changed until the desired steady-state current condition is met.


                                                          Simulation




                                                                         Steady-state current
                                                                         =0.6A                  Input the value of “IL”=1.1A
                                                                                                for the steady-state current
                                                                                                condition 0.6A (the value is
                                                                                                       not matched).



                                 Time (s)


•   This figure shows the unmatched value of the steady-state current condition when Vcc condition is
    7.2Vdc (not a 12Vdc).



                                 All Rights Reserved Copyright (C) Bee Technologies Inc. 2011                              9
2.9 Transient Response at Load 3.8A
(Measurement vs. Simulation)

    The test setup include 12Vdc source ,0.8 series resistor and the RS-380PH motor with fan.


    Measurement                                                    Simulation

                                                                                                       VM(t) ,5V/DIV




                                                                                                       IM(t) ,2A/DIV




                                                                                            Time (s)


•    This figure shows the result of the start-up transient simulation with RS-380PH motor model at
     condition 12V ,3.8A load.
•    The result is compared to the voltage and current waveforms obtained by the oscilloscope.


                             All Rights Reserved Copyright (C) Bee Technologies Inc. 2011                              10
4.2 Motor Voltage and Current


Measurement                                        Simulation




                    Motor U5: VMotor                                              Motor U5: VMotor




                   Motor U5: IMotor                                               Motor U5: IMotor




                         Motor Voltage and Current


                   All Rights Reserved Copyright (C) Bee Technologies Inc. 2011                      11
Appendix A: Simulation Settings




                                                                                      select
                                                                                  SPICE Directive




                                        Edit text for analysis
                                       directives (.OPTIONS)




                   All Rights Reserved Copyright (C) Bee Technologies Inc. 2011                     12

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LTspiceのDCモーターシミュレーション

  • 1. 1. The Simulation of DC Motor Control Circuit Key simulation models DC Motor Model ⇒The model features on transient characteristics of the motor. LM555 Timer IC Model ⇒The model features on functions of the IC. All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 1
  • 2. 2.1 Manufacturer Specification MABUCHI MOTOR RS-380PH • Voltage Range..........................12.0 V • Normal Voltage.........................7.2 V • Normal Load.............................9.8 mNm • Speed at No Load.....................16,400 rpm • At Normal Load • Speed................................14,200 rpm • Current...............................2.9A All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 2
  • 3. 2.2 Torque Constant and Back EMF Constant • The Torque Constant KT is obtained as: Torque  KT  I 1 (1) RS-380PH at Normal Load: Torque = 9.8 mNm INormal Load = 2.9 A KT = 9.8/2.9 = 3.379 mNm/A • The Back EMF Constant KE is obtained as: VEMF  KE  Speed (2) RS-380PH at No Load: Speed = 16,400 rpm VEMF = VNormal - RMINo Load = 7.2-0.3456 = 6.8544 V ,RM=0.576 and INo Load =0.6A (measurement data). KE =6.8544/16,400 = 0.41795 mV/rpm All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 3
  • 4. 2.3 The Armature Inductance and Resistance Calculated Measured Precision Impedance Analyzer |Z| vs. Frequency measured data. • The Armature Inductance and Resistance are obtained with a Precision Impedance Anayzer (Agilent 4294A) • LS = 165 uH and RS = 575.977 m All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 4
  • 5. 2.5 Transient Response at No Load Measurement • The test setup include 12Vdc source ,series resistor and the motor. • The result is used to obtain the start-up Start-up current current and the steady state current. • The time constant of the current response will be used to determine the Steady-state current parameters that model the motor shaft’s inertia. Time constant This figure is the motor current and voltage at start-up transient (oscilloscope screen captured). All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 5
  • 6. 2.6 Transient Response at No Load (Model) Simulation Start-up current Steady-state current Torque constant and back EMF constant. Time constant Time (s) • This figure shows the result of the start-up transient simulation with RS-380PH motor model at condition 12V ,no load. All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 6
  • 7. 2.7 Speed at No Load (Model) Simulation Speed at No Load =16,400 rpm. Normal Voltage =7.2V. Motor current Time (s) • This figure shows the simulated speed at no load (16,400rpm). To monitor the speed ,trace “ I(U1.Vrpm) ” inside the model .SUBCKT.  Note: To show I(U1.Vrmp), select  "Save Subcircuit Device Currents“ ( Tool > Control Panel > Save Default [tab] ). All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 7
  • 8. 2.8 The Motor Steady-State Current Condition Setting (1/2) Simulation Steady-state current =3.8A (motor with fan) Input the Steady-State Steady-state current Current load condition. =0.6A (no load) (ex. IL=0.6A for the No Load or IL=3.8A for the motor with fan). Time (s) • This figure shows the current waveforms of the motor with the different rated torque load ,that result as the different steady-state current. • Since the simulations are focused on the electrical world ,the RS-380PH spice model is directly conditioned by input the steady-state current. All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 8
  • 9. 2.8 The Motor Steady-State Current Condition Setting (2/2)  Steady-state current simulated result will match the model input value “IL” only when the condition Vcc is 12Vdc . In the other case , “IL” value is changed until the desired steady-state current condition is met. Simulation Steady-state current =0.6A Input the value of “IL”=1.1A for the steady-state current condition 0.6A (the value is not matched). Time (s) • This figure shows the unmatched value of the steady-state current condition when Vcc condition is 7.2Vdc (not a 12Vdc). All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 9
  • 10. 2.9 Transient Response at Load 3.8A (Measurement vs. Simulation) The test setup include 12Vdc source ,0.8 series resistor and the RS-380PH motor with fan. Measurement Simulation VM(t) ,5V/DIV IM(t) ,2A/DIV Time (s) • This figure shows the result of the start-up transient simulation with RS-380PH motor model at condition 12V ,3.8A load. • The result is compared to the voltage and current waveforms obtained by the oscilloscope. All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 10
  • 11. 4.2 Motor Voltage and Current Measurement Simulation Motor U5: VMotor Motor U5: VMotor Motor U5: IMotor Motor U5: IMotor Motor Voltage and Current All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 11
  • 12. Appendix A: Simulation Settings select SPICE Directive Edit text for analysis directives (.OPTIONS) All Rights Reserved Copyright (C) Bee Technologies Inc. 2011 12