CN108712128B - Phase comparison method of alternating current servo system capable of overcoming influence of friction force - Google Patents

Phase comparison method of alternating current servo system capable of overcoming influence of friction force Download PDF

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CN108712128B
CN108712128B CN201810578197.5A CN201810578197A CN108712128B CN 108712128 B CN108712128 B CN 108712128B CN 201810578197 A CN201810578197 A CN 201810578197A CN 108712128 B CN108712128 B CN 108712128B
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magnetic pole
rotation
equal
phase
encoder
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CN108712128A (en
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扶文树
储建华
赵海峰
王刚
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Nanjing College of Information Technology
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P21/00Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
    • H02P21/14Estimation or adaptation of machine parameters, e.g. flux, current or voltage
    • H02P21/18Estimation of position or speed

Abstract

The invention provides a method for overcoming frictionThe phase comparison method of the force-influenced alternating current servo system comprises the following steps: establishing an alpha beta coordinate system of a phase coordinate system for compensating the influence of friction force, and setting a magnetic pole N in front of a phase to be positioned above an alpha axis; the readings of the position encoder are recorded by rotation in different directions of rotation, whereby the ideal pair of phase positions x, which compensate for the effect of friction forces, is calculated0. The phase comparison method of the alternating current servo system for overcoming the influence of the friction force utilizes a twice phase comparison method, compensates the influence of the friction force and makes up for the defects of the existing phase comparison technology.

Description

Phase comparison method of alternating current servo system capable of overcoming influence of friction force
Technical Field
The invention relates to a phase alignment method, in particular to a phase alignment method of an alternating current servo system, which overcomes the influence of friction.
Background
The opposite phase is a debugging step before the AC servo system leaves a factory, and aims to enable the servo to accurately acquire the magnetic pole position of the motor rotor at the beginning of normal operation. The current phase-contrast technology adopted by servo manufacturers neglects the influence of friction force, and the servo driver in the prior art cannot accurately acquire the initial position of the magnetic pole of the motor during operation, so that the overall operation performance of the servo is influenced. In the vector control scheme of the alternating current servo system, the actual currents of two channels of a d axis and a q axis in a current loop are converted from actual phase currents through CLARK and PARK, and the mathematical expression of the conversion is as follows:
Figure BDA0001687697180000011
in the formula (1), iuAnd ivActual currents of the U and V phases, θeAs electrical angle of the motor, idAnd iqThe actual currents for the d and q axes. SVPWM (space vector pulse width modulation) in the vector control scheme is based on an alpha beta coordinate system, and voltage under dq coordinate system needs to be instructed
Figure BDA0001687697180000012
And
Figure BDA0001687697180000013
command voltage converted to alpha-beta coordinate system by inverse PARK conversion
Figure BDA0001687697180000014
And
Figure BDA0001687697180000015
the conversion equation is as follows:
Figure BDA0001687697180000016
in the formula (2), the reaction mixture is,
Figure BDA0001687697180000017
and
Figure BDA0001687697180000018
respectively, a voltage command in a dq coordinate system,
Figure BDA0001687697180000019
and
Figure BDA00016876971800000110
are respectively a voltage command in an alpha beta coordinate system, thetaeIs the electrical angle of the motor. It can be seen that the error of the electrical angle directly affects id、iqAnd
Figure BDA00016876971800000111
and (4) calculating.
The actual alternating current permanent magnet synchronous motor is simplified into a two-pole electromagnetic structure as shown in fig. 1, three-phase stator coils are respectively U1U2, V1V2 and W1W2, U1, V1 and W1 are the starting ends of the coils, U2, V2 and W2 are the tail ends of the coils, U, V and W are respectively the axes of the three-phase stator coils to form a uvw shaft of the motor, and two poles of a rotor permanent magnet are respectively S and N. In the opposite phase state, the direction of the current in the stator coils is as shown in fig. 1. Neglecting the influence of the friction force of a rotating pair of the motor, under the action of the magnetic flux of the stator coil, the axis of the SN of the permanent magnet is coincided with the u axis, and the N pole points to the positive direction of the u axis. Such a phase-contrast state in which the friction force is ignored is referred to as an ideal phase-contrast state, and is a phase-contrast state that the phase-contrast technique desires to obtain, and in this case, the electrical angle θ of the motor is 0.
The essence of the phase alignment is to provide a reference position for the servo to calculate the electrical angle during operation, in the phase alignment state of fig. 1, the reading of the encoder is reset to 0 by a software method, and during the servo operation, the motor rotates to the electrical angle of any position:
Figure BDA00016876971800000112
in the formula (3), θ is the electrical angle of the motor, Vmax is the maximum reading of the encoder, p is the pole pair number of the motor, x is the reading of the encoder, and mod is a modulus function.
However, the conventional phase correlation technique does not consider the influence of friction force, and the process is performed in an α β coordinate system. The implementation process is as follows: setting up
Figure BDA0001687697180000021
Starting SVPWM, rotating the magnetic pole counterclockwise from the initial position to the position shown in FIG. 2 or FIG. 3, and recording the reading x of the position encoder at the moment, wherein UNIs the voltage corresponding to the rated current of the motor, T is the time variable of the phase comparison process, the value range of T is more than or equal to 0 and less than or equal to T, and T is the duration time of the phase comparison process. As shown in FIGS. 2 and 3, due to the influence of the frictional force, the axis of SN is angularly deviated from the α -axis by θ in the phase-opposition state1、θ2The motor rotor is kept in a static state under the action of electromagnetic torque and friction torque. The friction torques in fig. 2 and 3 are equal and opposite according to the symmetry of the motor rotating pair, so that theta1=θ2. At this time, the electrical angle θe=θ1=θ2The error that will be produced by the calculation of the electromechanical angle is δ θe=θ1=θ2. The software flow of the implementation is shown in fig. 4.
Disclosure of Invention
The invention aims to provide a phase comparison method of an alternating current servo system overcoming the influence of friction force,
in order to solve the above technical problem, the present invention provides a phase alignment method for an ac servo system that overcomes the influence of friction, comprising the following steps:
step 1, establishing a phase coordinate system for compensating the influence of friction force as an alpha beta coordinate system, and setting a phase-front magnetic pole N to be positioned above an alpha axis;
and 2, starting phase comparison, and specifically comprising the following steps:
step 2.1, setting
Figure BDA0001687697180000022
Starting SVPWM, the magnetic pole rotates clockwise from the initial position to reach the position that the magnetic pole N just passes through the alpha-axis positive half shaft, wherein UNIs the voltage corresponding to the rated current of the motor, T is the time variable of the rotation in the step, and the value range is that T is more than or equal to 0 and less than or equal to T1,T1The duration of the rotation in this step;
step 2.2, setting
Figure BDA0001687697180000023
Starting SVPWM, the magnetic pole rotates anticlockwise from the position reached in step 2.1 to reach the position where the magnetic pole N just passes through the positive half shaft of the beta shaft, wherein UNIs the voltage corresponding to the rated current of the motor, T is the time variable of the rotation in the step, and the value range is that T is more than or equal to 0 and less than or equal to T2,T2The duration of the rotation in this step;
step 2.3, setting
Figure BDA0001687697180000024
Starting SVPWM, rotating the magnetic pole clockwise from the position reached in step 2.2 to the position where the magnetic pole N just passes through the positive half shaft of the alpha shaft, and recording the reading x of the position encoder at the moment1Wherein U isNT is a voltage corresponding to the rated current of the motor, and is a time variable of the rotation in the step, and the value range of T is more than or equal to 0 and less than or equal to T3,T3The duration of the rotation in this step;
step 2.4, setting
Figure BDA0001687697180000025
Starting SVPWM, the magnetic pole rotates clockwise from the position reached in step 2.3, and reaches the position where the magnetic pole N just reaches the negative half shaft of the beta shaft, wherein UNIs the voltage corresponding to the rated current of the motor, T is the time variable of the rotation in the step, and the value range is that T is more than or equal to 0 and less than or equal to T4,T4The duration of the rotation in this step;
step 2.5, setting
Figure BDA0001687697180000031
Starting SVPWM, rotating the magnetic pole anticlockwise from the position reached in step 2.4 to reach the position where the magnetic pole N just passes through the alpha-axis positive half shaft, and recording the reading x of the position encoder at the moment2Wherein U isNT is a voltage corresponding to the rated current of the motor, and is a time variable of the rotation in the step, and the value range of T is more than or equal to 0 and less than or equal to T5,T5The duration of the rotation in this step;
step 2.6, let the maximum reading of the encoder be VmaxX through step 2.3 and step 2.51、x2Calculating an ideal pair phase position x that compensates for the effect of friction0
Further, in step 2.6, the ideal pair phase position x is calculated which compensates for the friction influence0The formula of (1) is: (1) when 0 point of the encoder is at x1And x2And x is0At 0 point and x2In between, then x0=(x1+x2+Vmax+ 1)/2; (2) when 0 point of the encoder is at x1And x2And x is0At 0 point and x1In between, then x0=(x1+x2-Vmax-1)/2; (3) when 0 point of the encoder is not in x1And x2In between, then x0=(x1+x2)/2。
The invention has the beneficial effects that: the method of the invention can overcome the influence of friction in the prior art and improve the calculation precision of the electrical angle.
Drawings
FIG. 1 is an ideal phase alignment;
FIG. 2 is a phase comparison state obtained by the prior art;
FIG. 3 is another phase comparison state obtained by the prior art phase comparison technique;
FIG. 4 is a software flow of a prior art phase contrast technique;
FIG. 5 is a schematic illustration of the phase alignment process of the present invention to compensate for the effects of friction;
fig. 6 is a software flow of the phase comparison method of the present invention.
Detailed Description
As shown in fig. 5 and 6, the phase comparison method of the ac servo system overcoming the influence of friction force disclosed by the present invention comprises the following steps:
step 1, establishing a phase coordinate system for compensating the influence of friction force as an alpha beta coordinate system, and setting a phase-front magnetic pole N to be positioned above an alpha axis;
and 2, starting phase comparison, and specifically comprising the following steps:
step 2.1, setting
Figure BDA0001687697180000032
Starting SVPWM, the magnetic pole rotates clockwise from the initial position to the position where the magnetic pole N just passes through the positive half axis of the alpha axis, namely the position shown in the figure 5 (1), wherein UNIs the voltage corresponding to the rated current of the motor, T is the time variable of the rotation in the step, and the value range is that T is more than or equal to 0 and less than or equal to T1,T1The duration of the rotation in this step;
step 2.2, setting
Figure BDA0001687697180000041
Starting SVPWM, the magnetic pole rotates anticlockwise from the position reached in step 2.1, and reaches the position where the magnetic pole N just passes through the positive half shaft of the beta axis, namely the position shown in figure 5 (2), wherein UNIs the voltage corresponding to the rated current of the motor, T is the time variable of the rotation in the step, and the value range is that T is more than or equal to 0 and less than or equal to T2,T2The duration of the rotation in this step;
and 2. step 2.3, setting
Figure BDA0001687697180000042
Starting SVPWM, the magnetic pole rotates clockwise from the position reached in step 2.2 to the position where the magnetic pole N just passes through the positive half shaft of the alpha shaft, namely the position shown in the graph (3) in FIG. 5, and the reading x of the position encoder at this time is recorded1Wherein U isNT is a voltage corresponding to the rated current of the motor, and is a time variable of the rotation in the step, and the value range of T is more than or equal to 0 and less than or equal to T3,T3The duration of the rotation in this step;
step 2.4, setting
Figure BDA0001687697180000043
Starting SVPWM, the magnetic pole rotates clockwise from the position reached in step 2.3 to the position where the magnetic pole N just reaches the negative half axis of the beta axis, i.e. the position shown in the diagram (4) in FIG. 5, where U isNIs the voltage corresponding to the rated current of the motor, T is the time variable of the rotation in the step, and the value range is that T is more than or equal to 0 and less than or equal to T4,T4The duration of the rotation in this step;
step 2.5, setting
Figure BDA0001687697180000044
Starting SVPWM, the magnetic pole rotates anticlockwise from the position reached in step 2.4, the position where the magnetic pole N just passes through the positive half shaft of the alpha shaft is reached, namely the position shown in the figure (5) in figure 5, and the reading x of the position encoder at the moment is recorded2Wherein U isNT is a voltage corresponding to the rated current of the motor, and is a time variable of the rotation in the step, and the value range of T is more than or equal to 0 and less than or equal to T5,T5The duration of the rotation in this step;
step 2.6, let the maximum reading of the encoder be VmaxX through step 2.3 and step 2.51、x2Calculating an ideal pair phase position x that compensates for the effect of friction0
Wherein in step 2.6, an ideal pair phase position x is calculated which compensates for the influence of friction0The formula of (1) is: (1) when 0 point of the encoder is at x1And x2And x is0At 0 point and x2In between, then x0=(x1+x2+Vmax+ 1)/2; (2) when 0 point of the encoder is at x1And x2And x is0At 0 point and x1In between, then x0=(x1+x2-Vmax-1)/2; (3) when 0 point of the encoder is not in x1And x2In between, then x0=(x1+x2)/2。
The phase alignment method of the alternating current servo system capable of overcoming the influence of the friction force, disclosed by the invention, can overcome the influence of the friction force in the existing phase alignment technology, and improves the calculation precision of the electrical angle.

Claims (1)

1. A phase comparison method of an alternating current servo system overcoming the influence of friction force is characterized by comprising the following steps:
step 1, establishing an alpha beta coordinate system of a phase coordinate system for compensating the influence of friction force, and setting a forward magnetic pole N to be positioned above an alpha axis;
and 2, starting phase comparison, and specifically comprising the following steps:
step 2.1, setting
Figure FDA0003057853790000011
Starting SVPWM, the magnetic pole rotates clockwise from the initial position to reach the position that the magnetic pole N just passes through the alpha-axis positive half shaft, wherein UNIs the voltage corresponding to the rated current of the motor, T is the time variable of the rotation in the step, and the value range is that T is more than or equal to 0 and less than or equal to T1,T1The duration of the rotation in this step;
step 2.2, setting
Figure FDA0003057853790000012
Starting SVPWM, the magnetic pole rotates anticlockwise from the position reached in step 2.1 to reach the position where the magnetic pole N just passes through the positive half shaft of the beta shaft, wherein UNIs the voltage corresponding to the rated current of the motor, T is the time variable of the rotation in the step, and the value range is that T is more than or equal to 0 and less than or equal to T2,T2For the continuation of the rotation of this stepTime;
step 2.3, setting
Figure FDA0003057853790000013
Starting SVPWM, rotating the magnetic pole clockwise from the position reached in step 2.2 to the position where the magnetic pole N just passes through the positive half shaft of the alpha shaft, and recording the reading x of the position encoder at the moment1Wherein U isNT is a voltage corresponding to the rated current of the motor, and is a time variable of the rotation in the step, and the value range of T is more than or equal to 0 and less than or equal to T3,T3The duration of the rotation in this step;
step 2.4, setting
Figure FDA0003057853790000014
Starting SVPWM, the magnetic pole rotates clockwise from the position reached in step 2.3, and reaches the position where the magnetic pole N just reaches the negative half shaft of the beta shaft, wherein UNIs the voltage corresponding to the rated current of the motor, T is the time variable of the rotation in the step, and the value range is that T is more than or equal to 0 and less than or equal to T4,T4The duration of the rotation in this step;
step 2.5, setting
Figure FDA0003057853790000015
Starting SVPWM, rotating the magnetic pole anticlockwise from the position reached in step 2.4 to reach the position where the magnetic pole N just passes through the alpha-axis positive half shaft, and recording the reading x of the position encoder at the moment2Wherein U isNT is a voltage corresponding to the rated current of the motor, and is a time variable of the rotation in the step, and the value range of T is more than or equal to 0 and less than or equal to T5,T5The duration of the rotation in this step;
step 2.6, let the maximum reading of the encoder be VmaxX through step 2.3 and step 2.51、x2Calculating an ideal pair phase position x that compensates for the effect of friction0
In step 2.6, assume x2>x1Calculating the ideal pair phase position x which compensates for the effect of friction0The formula of (1) is: (1) when 0 point of the encoder is at x1And x2And x is0At 0 point and x2In between, then x0=(x1+x2+Vmax+ 1)/2; (2) when 0 point of the encoder is at x1And x2And x is0At 0 point and x1In between, then x0=(x1+x2-Vmax-1)/2; (3) when 0 point of the encoder is not in x1And x2In between, then x0=(x1+x2)/2。
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