Synchronous motor (ABC system)


`в палитре`	`на схеме`

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:

ψ_f — rotor flux linkage,
Z_p — the number of motor pole pairs,
i_A, i_B, i_C — currents of phases A, B and C,
e_1A, e_1B and e_1C — 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 θ_e, 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 "U_phа, U_phв, U_phс", 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:

M_em — electromagnetic torque of the motor,
M_load — 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.

Входные порты

Parameter	Description	Communication line type
Wr	Rotor speed	Mathematical

Выходные порты

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

Свойства

Name	Parameter	Description	By default
Stator phase resistance, Ohm	Rs	Stator phase resistance	16
Stator phase inductance, H	Ls	Stator phase inductance	0.112
Rotor flux linkage, Wb	F	Rotor flux linkage	0.4
Number of motor poles	Zp	Number of motor poles	42
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
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
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]
Load EMF from file	read_from_ext_file	The file name of the ".dat" format is put in the "Value" column	E.dat

Параметры

The block has no parameters.

Примеры

Examples of block application: