Synchronous motor (ABC system)

in the palette on the schematic

The model is used together with the elements of the EC - Dynamics (ECD) 2.0 and Mechanics libraries.

The motor model is built on the basis of the equation for the electromagnetic torque:


where:
  • ψf — rotor flux linkage,
  • Zp — the number of motor pole pairs,
  • iA, iB, iC — currents of phases A, B and C,
  • e1A, e1B and e1C — unit functions of the EMF shape of phases A, B and C.

The unit function of the EMF shape is a function of the field angle θe, having a unit amplitude and repeating the phase EMF in shape. The models of the motor windings for the "Star” (Y) scheme are built on the elements of the EC - Dynamics (ECD) 2.0 library.

Connection of the model to external elements is carried out as follows:

The input of the model, as a rule, is supplied with voltage signals "Uphа, Uphв, Uphс", from the model of a three-phase bridge inverter built on the elements of the EC - Dynamics (ECD) 2.0 library.

The output signal of the motor electromagnetic torque "Mem" should be applied to the model of the mechanical part of the electrical drive, built on the elements of the Mechanic section. In general, the motion of the motor rotor is described with the equation:


where:
  • Mem — electromagnetic torque of the motor,
  • Mload — torque created by the load,
  • J — the total moment of inertia applied to the rotor (the sum of the moment of inertia of the load and the moment of inertia of the rotor).

The model of the mechanical part of the electrical drive converts the signal of the electromagnetic torque into the value of the angular speed of the rotor "Wr", supplied to the corresponding input of the motor model.

Inputs

Parameter Description Communication line type
Wr Rotor speed Mathematical

Outputs

Parameter Description Communication line type
Mem Electromagnetic torque of the motor Mathematical
Qr Angular position of the rotor Mathematical
Qe Electrical angle of the field Mathematical
Uabc EMF in phases A, B and C Mathematical
Iabc Currents in phases A, B and C Mathematical

Non-directional ports

Parameter Description Communication line type
A Phase A input voltage Electrical
B Phase B input voltage Electrical
C Phase C input voltage Electrical

Properties

Name Parameter Description By default Data type
Stator phase resistance, Ohm Rs Stator phase resistance 16 Вещественное
Stator phase inductance, H Ls Stator phase inductance 0.112 Вещественное
Rotor flux linkage, Wb F Rotor flux linkage 0.4 Вещественное
Number of motor poles Zp Number of motor poles 42 Вещественное
Initial electric angle of the rotor, rad. Q0 The initial electric angle of the rotor relative to the positive axis of the phase "A" 0 Вещественное
Shape of EMF EMF

Shape of the phase EMF

Depending on the selected value, the shape of the motor EMF will change:
  • "trapeze" — trapezoidal shape;
  • "sine" — sinusoidal shape;
  • "fourier" — the form is set in the column "Formula" of the occurring property "Fourier coefficients" by the coefficients of the 1st, 3rd, 5th, 7th and 9th harmonics of the unit function of the form;
  • "file" — the form is set by the file "*.dat", which should be written in the project folder in the form:

    Fm = [

    [0, 0.785, 1.57, 2.355, 3.925, 4.71, 5.495, 6.28],

    [0, -0.75, -1, -0.75, 0.75, 1, 0.75, 0.0]

    ];

    The file name (*.dat) is put in the "Value" column of the "Load EMF from file" property that occurs.

    The first row specifies the values of the angle in radians, the second one specifies the corresponding values of the unit function of the form. Recommended value of approximation points: 6...40

 sine Перечисление
Fourier coefficients (odd sin) FC Coefficients of the 1st, 3rd, 5th, 7th and 9th harmonics of the unit function of the form [1.085, 0.043, -0.075, -0.043, -0.011] Массив
Load EMF from file read_from_ext_file The file name of the ".dat" format is put in the "Value" column E.dat Имя файла

Parameters

The block has no parameters.

Examples

Examples of block application: