7-Variable Speed Driver

3. Basic equations

DefinitionDC Motor

The equivalent diagram gives the equations of the shunt DC machine:

, ,

  • : number of pairs of poles

  • number of winding paths;

  • : number of active drivers;

  • : useful flow by poles in Webers;

  • : speed of rotation in rps;

  • : speed constant;

  • : power absorbed in W;

  • : electromagnetic power in W;

  • : electromagnetic torque in Nm

From these equations we can write the speed as:

DefinitionAC Motor

Equivalent diagram:

A phase of an asynchronous machine brought back to primary allows us to define the following equivalent schema:

The equations of the asynchronous machine give us: and

  • : frequency of the supply network;

  • : number of pairs of poles;

  • : synchronism speed in rps;

  • : speed of rotation in rps;

  • : sliding of the machine;

The power transmitted to the rotor is given by the relations:

and

From there we can write:

The study of this relationship shows that the maximum torque is

and

  • : electromagnetic torque;

  • : number of pairs of poles;

  • : rotor resistance;

  • : pulsation of the network;

  • : rotor reactance;

  • : supply voltage;

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