CN107729628B - Three-phase electro-magnetic doubly-salient motor nonlinear inductance modeling method - Google Patents
Three-phase electro-magnetic doubly-salient motor nonlinear inductance modeling method Download PDFInfo
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- CN107729628B CN107729628B CN201710887246.9A CN201710887246A CN107729628B CN 107729628 B CN107729628 B CN 107729628B CN 201710887246 A CN201710887246 A CN 201710887246A CN 107729628 B CN107729628 B CN 107729628B
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Abstract
The invention provides a three-phase electro-magnetic doubly salient motor nonlinear inductance modeling method, which is characterized in that according to the law of influence of armature current and exciting current of an electro-magnetic doubly salient motor on inductance parameters, firstly, through the influence relation curve of the armature current on the inductance parameters under the condition of two exciting currents, the horizontal axis translation amount of the two curves is obtained, and the influence relation curve of the armature current in the full exciting current range on the inductance parameters is obtained corresponding to the difference value of the exciting currents of the two curves. The method simultaneously takes the influence of armature reaction and excitation magnetic field change into account, and is an accurate, simple and convenient nonlinear modeling method for the electrically excited doubly salient motor.
Description
Technical Field
The invention relates to the field of motor modeling, in particular to a three-phase electro-magnetic doubly salient motor inductance parameter modeling method.
Background
The electro-magnetic doubly salient motor is a novel reluctance motor developed based on a permanent-magnet doubly salient motor, a stator and a rotor are both in salient pole structures, the rotor is not provided with a winding, the structure is simple, the reliability is high, and the field windings are placed in stator slots, so that the air gap flux adjustment is flexible, and the electro-magnetic doubly salient motor is widely concerned in the fields of aviation, new energy and the like. The air gap field of the electric excitation doubly-salient motor has obvious edge effect and high local saturation phenomenon, and the armature reaction is complex, so that the electric excitation doubly-salient motor has the magnetizing function and the demagnetizing function, the waveforms of the inductance and the armature current are distorted, the modeling of the electric excitation doubly-salient motor is difficult, and the research on the nonlinear inductance modeling of the electric excitation doubly-salient motor is of great significance.
The research on inductance parameters of the electric excitation doubly salient motor is less at home and abroad, the adopted method mostly refers to an inductance parameter modeling method of the SRM, and the influence of armature reaction and excitation magnetic field change on the inductance parameters is not considered at the same time.
In the inductance nonlinear modeling process of the electric excitation doubly salient motor, inductance parameter changes caused by changes of an excitation magnetic field need to be considered in the modeling process. The invention provides a three-phase electro-magnetic doubly salient motor nonlinear inductance modeling method.
Disclosure of Invention
The invention aims to construct an inductance parameter modeling method easy to realize and realize modeling of an electro-magnetic doubly salient motor through characteristic research of phase winding inductance of the electro-magnetic doubly salient motor.
The technical scheme is as follows:
in order to achieve the purpose, the invention provides a three-phase electro-magnetic doubly salient motor nonlinear inductance modeling method which is characterized by comprising the following steps:
the technical scheme is as follows: in order to achieve the purpose, the invention provides a three-phase electro-magnetic doubly salient motor nonlinear inductance modeling method, which comprises the following steps:
a three-phase electro-magnetic doubly salient motor nonlinear inductance modeling method comprises the following steps:
1) a three-phase electro-magnetic doubly salient motor model is built in finite element software, and when a rotor is defined to be static relative to a stator, the position angle of the rotor is theta, and the theta is 0 at the alignment position of a phase A stator tooth and a rotor tooth; respectively obtain exciting currents of if1And if2Influence relation curve L of time armature current on inductance variationp1(ip) And Lp2(ip) (ii) a Wherein L isp1For the excitation current to be if1Armature current of ipSelf-inductance value of the phase winding, Lp2For the excitation current to be if2Armature current of ipSelf-inductance value of time phase winding;
2) calculating Lp1(ip) And Lp2(ip) The horizontal axis offset of (c) is: Δ Lp(ip)＝Lp1(ip)-Lp2(ip)；
3) Obtaining the offset of the transverse axis and the exciting current i according to the step 2)f1And if2And difference, and obtaining a relation coefficient between the horizontal axis offset and the exciting current difference of an influence relation curve of the armature current on the inductance variation, wherein the relation coefficient is as follows:
ΔLp(ip)/(if1-if2)
4) because a certain corresponding relation exists between the cross-axis offset of the influence relation curve of the armature current on the inductance variation and the exciting current difference, the influence of the armature current on the inductance variation under the condition of only two exciting currents needs to be obtainedThe influence relation curve of the armature current to the inductance variation in the full exciting current range can be obtained by responding to the relation curve; therefore, based on the relation coefficient obtained in step 3), as curve Lp1(ip) Or Lp2(ip) The curve is a reference curve, and an influence relation curve of the armature current to the inductance variation in the full excitation current range when theta is 0 can be obtained;
5) and rotating the stator of the motor to change the value of theta, and repeating the steps 1) to 4) for each value of theta to obtain a curve cluster of the phase winding inductance and the rotor position angle theta under the influence of all the exciting current and the armature current.
Has the advantages that: compared with the prior art, the invention has the following advantages:
1. according to the invention, the nonlinear inductance modeling can be completed only by obtaining the influence relation curve of two armature currents on the inductance variation;
2. the influence of armature reaction and excitation magnetic field change on the self-inductance of the excitation winding is fully calculated in the modeling process;
3. the modeling of the electric state and the power generation state of the doubly salient electro-magnetic motor can be realized.
Drawings
Fig. 1 is a two-dimensional structural view of an electro-magnetic double salient motor of an 12/8 pole structure according to an embodiment of the invention;
FIG. 2 is a finite element simulation flux linkage distribution plot at the time of alignment of phase A stator teeth and rotor teeth according to an embodiment of the present invention;
FIG. 3 is a schematic flow chart of the nonlinear inductance modeling provided by the present invention;
FIG. 4 is a flow chart of a calculation of nonlinear inductance modeling;
FIG. 5 is a plot of phase winding self-inductance versus rotor position angle θ for various phase current conditions provided by the present invention; the ordinate of fig. 4 is the self-inductance value of the phase winding corresponding to the a-phase armature winding;
fig. 6 is a graph of the relationship between the influence of the armature current on the inductance variation in the full field current range obtained based on multiple simulations;
fig. 7 is a graph showing the relationship between the armature current and the inductance variation in the full field current range, which is obtained by the nonlinear inductance modeling established according to the present invention.
A, B, C in fig. 1 respectively refer to a phase a stator tooth where a-phase armature winding is located, a phase B stator tooth where B-phase armature winding is located, and a phase C stator tooth where C-phase armature winding is located. In fig. 3, θ is an angle value obtained from the relative position of the stator and the rotor in terms of the mechanical angle, i.e., a rotor position angle. The ordinate of fig. 4 refers to the self-inductance of the phase winding corresponding to the a-phase armature winding. Kip in FIG. 5 is LpWhen the exciting current is a constant value, the normalized value of (A) is obtained by adding any of ipL of timepDifference between maximum and minimum, ratio ipWhen 0A is LpIs obtained as the difference between the maximum value and the minimum value of (c).
Detailed Description
The invention is described in detail below with reference to the accompanying drawings.
The motor structure of the invention is a three-phase electro-magnetic doubly salient motor as shown in figure 1, wherein a stator and a rotor of the motor are both salient pole structures, in order to place an excitation winding, each three-phase stator tooth is in a parallel structure, a groove outside the parallel tooth is used for placing the excitation winding, and a groove in the space between the parallel teeth is used for placing an armature winding. The structure of the electric excitation double salient pole motor determines that four inductance parameters exist, namely an armature winding self-inductance parameter, an armature winding and excitation winding mutual inductance parameter, an armature winding and armature winding mutual inductance parameter and an excitation winding self-inductance parameter.
Assuming that the rotor is currently in a position aligned with the a-phase stator teeth, the magnetic flux in the a-phase stator teeth all reaches the rotor teeth via the air gap between the stator and the rotor to form an a-phase magnetic field, and the distribution of the flux linkage is shown in fig. 2. The method comprises the following specific implementation steps:
1) building the three-phase electro-magnetic doubly salient motor model in finite element software, and defining that a rotor position angle theta is 0 when the rotor is at a position aligned with the A-phase stator teeth; respectively obtain exciting currents of if1And if2Influence relation curve L of time armature current on inductance variationp1(ip) And Lp2(ip) (ii) a Wherein L isp1For the excitation current to be if1Armature current of ipSelf-inductance value of the phase winding, Lp2For the excitation current to be if2Armature current of ipSelf-inductance value of time phase winding;
2) calculating Lp1(ip) And Lp2(ip) The horizontal axis offset of (c) is: Δ Lp(ip)＝Lp1(ip)-Lp2(ip)；
3) Obtaining the offset of the transverse axis and the exciting current i according to the step 2)f1And if2And difference, and obtaining a relation coefficient between the horizontal axis offset and the exciting current difference of an influence relation curve of the armature current on the inductance variation, wherein the relation coefficient is as follows:
ΔLp(ip)/(if1-if2)
4) because a certain corresponding relation exists between the offset of the transverse axis of the influence relation curve of the armature current on the inductance variation and the difference value of the exciting current, the influence relation curve of the armature current on the inductance variation in the full exciting current range can be obtained only by obtaining the influence relation curve of the armature current on the inductance variation under the condition of two exciting currents; therefore, based on the relation coefficient obtained in step 3), as curve Lp1(ip) Or Lp2(ip) The curve is a reference curve, and an influence relation curve of the armature current to the inductance variation in the full excitation current range when theta is 0 can be obtained;
5) and rotating the stator of the motor to change the value of theta, and repeating the steps 1) to 4) for each value of theta to obtain a curve cluster of the phase winding inductance and the rotor position angle theta under the influence of all the exciting current and the armature current.
The nonlinear inductance modeling method provided by the invention utilizes the characteristics of the phase winding inductance, has a simple principle, needs less data and is easy to realize. The method is very suitable for the modeling occasion of the doubly salient electro-magnetic motor requiring to fully take armature reaction and change of an excitation magnetic field into account.
The above embodiments are merely technical ideas of the present invention, and it should be noted that, for those skilled in the art, several modifications can be made without departing from the principle of the present invention, and these modifications should also be regarded as the protection scope of the present invention. The method provided by the invention is not only suitable for modeling the three-phase electro-magnetic doubly salient motor, but also suitable for modeling other phase electro-magnetic doubly salient motors.
Claims (1)
1. A three-phase electro-magnetic doubly salient motor nonlinear inductance modeling method is characterized by comprising the following steps:
1) a three-phase electro-magnetic doubly salient motor model is built in finite element software, and when a rotor is defined to be static relative to a stator, the position angle of the rotor is theta, and the theta is 0 at the alignment position of a phase A stator tooth and a rotor tooth; respectively obtain exciting currents of if1And if2Influence relation curve L of time armature current on inductance variationp1(ip) And Lp2(ip) (ii) a Wherein L isp1For the excitation current to be if1Armature current of ipSelf-inductance value of the phase winding, Lp2For the excitation current to be if2Armature current of ipSelf-inductance value of time phase winding;
2) calculating Lp1(ip) And Lp2(ip) The horizontal axis offset of (c) is: Δ Lp(ip)＝Lp1(ip)-Lp2(ip)；
3) Obtaining the offset of the transverse axis and the exciting current i according to the step 2)f1And if2And difference, and obtaining a relation coefficient between the horizontal axis offset and the exciting current difference of an influence relation curve of the armature current on the inductance variation, wherein the relation coefficient is as follows:
ΔLp(ip)/(if1-if2)
4) based on the relation coefficient obtained in step 3), using a curve Lp1(ip) Or Lp2(ip) The curve is a reference curve, and an influence relation curve of the armature current to the inductance variation in the full excitation current range when theta is 0 can be obtained;
5) and rotating the stator of the motor to change the value of theta, and repeating the steps 1) to 4) for each value of theta to obtain a curve cluster of the phase winding inductance and the rotor position angle theta under the influence of all the exciting current and the armature current.
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| US5825113A (en) * | 1995-07-05 | 1998-10-20 | Electric Power Research Institute, Inc. | Doubly salient permanent magnet machine with field weakening (or boosting) capability |
| CN201409069Y (en) * | 2009-05-14 | 2010-02-17 | 浙江大学 | Hybrid excitation doubly-salient motor |
| CN103236807A (en) * | 2013-04-23 | 2013-08-07 | 南京航空航天大学 | Electro-magnetic doubly salient motor rotor position identification method based on three-phase six-state start |
| CN106528958B (en) * | 2016-10-19 | 2019-10-11 | 南京航空航天大学 | A kind of three-phase electric excitation biconvex electrode electric machine excitation winding self-induction modeling method |
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