Do Gearheads and Encoders Affect DC Motor Inertia and Time Constant?

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SUMMARY

The discussion centers on the impact of gearheads and encoders on the inertia and time constant of the Faulhaber 2342024CR DC micromotor used in position control simulations with Simulink's Real-Time Windows Target. It is established that the motor's time constant can differ significantly from manufacturer specifications, with real measurements showing a time constant of 0.028 seconds compared to the datasheet value of 0.006 seconds. The inertia of the system is influenced by the addition of gear reducers and encoders, as the total inertia is calculated using the formula Jsystem = Jm + Jencoder + Jreducer + Jload / ratio^2, indicating that the load inertia is reduced by the square of the gear ratio.

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  • Understanding of DC motor dynamics and control systems
  • Familiarity with Simulink's Real-Time Windows Target
  • Knowledge of gear ratios and their effects on mechanical systems
  • Basic principles of inertia and time constant in motor systems
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  • Learn about encoder types and their influence on system dynamics
  • Study the calculation of inertia in multi-component systems
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Engineers and researchers in robotics, control systems, and motor design, particularly those working on DC motor applications and simulations.

etinios
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Hello,

I'm doing my thesis on dc motor position control, using the Simulink's Real Time windows target.The dc motor is Faulhaber 2342024CR(DC micromotor). First of all, I need to simulate the motor so as to have a full simulation of the whole system(motor,servoamplifier). The problem is that the values given by the manufacturer do not correspond to the real ones. Can anyone tell me if the inertia and the time constant of the motor change if the motor is combined with a gearhead and an encoder?The manufacturer says that these values vary but I have found a difference quite big:tm(time constant)=0.006sec(datasheet) and tm=0.028sec(real). Is it possible?How does the inertia change?Thanks you in advance!I am desperate!I cannot find the model:(
 
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etinios said:
Can anyone tell me if the inertia and the time constant of the motor change if the motor is combined with a gearhead and an encoder?The manufacturer says that these values vary but I have found a difference quite big:tm(time constant)=0.006sec(datasheet) and tm=0.028sec(real). Is it possible?How does the inertia change?Thanks you in advance!I am desperate!I cannot find the model:(

Yes, inertia is definitely affected by adding a gear reducer and encoder (and additional load if applicable).

Jm = motor inertia

Jsystem (measured at motor shaft) = Jm + Jencoder + Jreducer + Jload / ratio^2

Note that load inertia seen at the reducer input is reduced by the square of the gear ratio.

I expect that the time constant will increase proportionally with inertia.

Consider the system as a whole, not the motor alone.

Found the following from a quick search that you may find interesting:

http://www.control.com/thread/1001363524
 
Last edited:

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