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CN107482984A - Motor initial position angle automatic Calibration angle compensation process and system - Google Patents

Motor initial position angle automatic Calibration angle compensation process and system Download PDF

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Publication number
CN107482984A
CN107482984A CN201610891993.5A CN201610891993A CN107482984A CN 107482984 A CN107482984 A CN 107482984A CN 201610891993 A CN201610891993 A CN 201610891993A CN 107482984 A CN107482984 A CN 107482984A
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Prior art keywords
angle
initial position
motor
motor initial
position angle
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CN201610891993.5A
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CN107482984B (en
Inventor
孙阳阳
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Borgward Automotive China Co Ltd
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Borgward Automotive China Co Ltd
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Priority to CN201610891993.5A priority Critical patent/CN107482984B/en
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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
    • H02P6/00Arrangements for controlling synchronous motors or other dynamo-electric motors using electronic commutation dependent on the rotor position; Electronic commutators therefor
    • H02P6/14Electronic commutators
    • H02P6/16Circuit arrangements for detecting position
    • H02P6/18Circuit arrangements for detecting position without separate position detecting elements
    • H02P6/182Circuit arrangements for detecting position without separate position detecting elements using back-emf in windings

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Control Of Motors That Do Not Use Commutators (AREA)
  • Control Of Ac Motors In General (AREA)

Abstract

The present invention proposes that a kind of motor initial position angle automatic Calibration angle compensation process and system, method comprise the following steps:Obtain motor initial position angle;The power-factor angle of A phases is obtained according to power input to a machine, AB line voltages and A phase currents;Electric angle frequency is obtained according to the rotating speed of motor, and the internal power factor angle of A phases is obtained according to electric angle frequency and power-factor angle;And motor initial position angle is compensated according to internal power factor angle, to obtain final motor initial position angle.The method of the present invention can improve motor initial position angle measurement accuracy and moment of torsion control precision, while improve the operating efficiency of motor.

Description

Motor initial position angle automatic Calibration angle compensation process and system
Technical field
The present invention relates to technical field of motors, more particularly to a kind of motor initial position angle automatic Calibration angle compensation process And system.
Background technology
Permagnetic synchronous motor is influenceed when producing assembling by motor assembly technology, the setting angle that motor rotation becomes and electricity Angular deviation be present between machine rotor electrical angle, this angular deviation is referred to as the initial angle of motor.The initial angle of motor can be with Obtained before electric machine controller matches motor by test calibration.
Current motor initial position angle automatic calibration method is become between zero degree using A phase currents zero crossing and rotation Deviation, calculate motor initial position angle.But because the influence of motor internal parameter, is deposited between electric machine phase current and phase voltage In power-factor angle, therefore, there is angular deviation in the motor initial position angle calculated using A phase currents zero crossing, can reduce electricity Machine initial position angle measurement accuracy, moment of torsion control precision and operating efficiency.
The content of the invention
It is contemplated that at least solves one of above-mentioned technical problem.
Therefore, it is an object of the present invention to propose a kind of motor initial position angle automatic Calibration angle compensation process, This method can improve motor initial position angle measurement accuracy and moment of torsion control precision, while improve the operating efficiency of motor.
It is another object of the present invention to propose a kind of motor initial position angle automatic Calibration angle compensation system.
To achieve these goals, the embodiment of first aspect present invention discloses a kind of motor initial position angle and marked automatically Determine angle compensation process, comprise the following steps:Obtain motor initial position angle;According to power input to a machine, AB line voltages and A Phase current obtains the power-factor angle of A phases;Electric angle frequency is obtained according to the rotating speed of motor, and according to the electric angle frequency and described Power-factor angle obtains the internal power factor angle of A phases;And according to the internal power factor angle to the motor initial position angle Compensate, to obtain final motor initial position angle.
Motor initial position angle automatic Calibration angle compensation process according to embodiments of the present invention, it is initial that motor is obtained first Position angle, the power-factor angle of A phases is then obtained according to power input to a machine, AB line voltages and A phase currents, according to motor Rotating speed obtains electric angle frequency, and obtains the internal power factor angle of A phases according to electric angle frequency and power-factor angle, finally according to internal strength Rate factor angle compensates to motor initial position angle, to obtain final motor initial position angle, at the beginning of improving motor Beginning position angle measurement accuracy and moment of torsion control precision, while improve the operating efficiency of motor.
In addition, motor initial position angle automatic Calibration angle compensation process according to the above embodiment of the present invention can also have There is technical characteristic additional as follows:
In some instances, the power-factor angle is obtained by equation below:
Wherein, P is the power input to a machine, UABFor the AB line voltages, I is the A phase currents,For the work( Rate factor angle.
In some instances, the internal power factor angle is obtained by equation below:
Wherein, ψ is the internal power factor angle, and U is A phase voltage virtual values, and φ is the power-factor angle, and I is the A Phase current, XqFor quadrature axis reactance.
In some instances, the motor initial position angle is compensated by equation below:
θ=θ1+ ψ,
Wherein, θ1For the motor initial position angle, θ is final motor initial position angle.
In some instances, the motor initial position angle is obtained by equation below:
θ1=360- θrdc,
Wherein, the θrdcBecome the electrical angle sent for motor rotation.
To achieve these goals, the embodiment of second aspect of the present invention discloses a kind of motor initial position angle and marked automatically Determine angle compensation system, including:Acquisition module, the acquisition module are used to obtain motor initial position angle;Computing module, it is described Computing module is used to obtain the power-factor angle of A phases according to power input to a machine, AB line voltages and A phase currents, and according to electricity The rotating speed of machine obtains electric angle frequency, and obtains the internal power factor angle of A phases according to the electric angle frequency and the power-factor angle; And compensating module, the compensating module are used to mend the motor initial position angle according to the internal power factor angle Repay, to obtain final motor initial position angle.
Motor initial position angle automatic Calibration angle compensation system according to embodiments of the present invention, it is initial that motor is obtained first Position angle, the power-factor angle of A phases is then obtained according to power input to a machine, AB line voltages and A phase currents, according to motor Rotating speed obtains electric angle frequency, and obtains the internal power factor angle of A phases according to electric angle frequency and power-factor angle, finally according to internal strength Rate factor angle compensates to motor initial position angle, to obtain final motor initial position angle, at the beginning of improving motor Beginning position angle measurement accuracy and moment of torsion control precision, while improve the operating efficiency of motor.
In addition, motor initial position angle automatic Calibration angle compensation system according to the above embodiment of the present invention can also have There is technical characteristic additional as follows:
In some instances, the computing module obtains the power-factor angle by equation below:
Wherein, P is the power input to a machine, UABFor the AB line voltages, I is the A phase currents,For the work( Rate factor angle.
In some instances, the computing module obtains the internal power factor angle by equation below:
Wherein, ψ is the internal power factor angle, and U is A phase voltage virtual values, and φ is the power-factor angle, and I is the A Phase current, XqFor quadrature axis reactance.
In some instances, the compensating module is compensated by equation below to the motor initial position angle:
θ=θ1+ ψ,
Wherein, θ1For the motor initial position angle, θ is final motor initial position angle.
In some instances, the acquisition module obtains the motor initial position angle by equation below:
θ1=360- θrdc,
Wherein, the θrdcBecome the electrical angle sent for motor rotation.
The additional aspect and advantage of the present invention will be set forth in part in the description, and will partly become from the following description Obtain substantially, or recognized by the practice of the present invention.
Brief description of the drawings
The above-mentioned and/or additional aspect and advantage of the present invention will become in the description from combination accompanying drawings below to embodiment Substantially and it is readily appreciated that, wherein:
Fig. 1 is the flow chart of motor initial position angle automatic Calibration angle compensation process according to embodiments of the present invention;
Fig. 2 is the phase deviation schematic diagram of motor phase back-emf and A phase currents according to an embodiment of the invention;
Fig. 3 is electrical angle of motor rotor and emf phase oscillogram according to an embodiment of the invention;
Fig. 4 is motor initial position angle Computing Principle schematic diagram according to an embodiment of the invention;And
Fig. 5 is the structured flowchart of motor initial position angle automatic Calibration angle compensation system according to embodiments of the present invention.
Embodiment
Embodiments of the invention are described below in detail, the example of the embodiment is shown in the drawings, wherein from beginning to end Same or similar label represents same or similar element or the element with same or like function.Below with reference to attached The embodiment of figure description is exemplary, is only used for explaining the present invention, and is not considered as limiting the invention.
In the description of the invention, it is to be understood that term " " center ", " longitudinal direction ", " transverse direction ", " on ", " under ", The orientation or position relationship of the instruction such as "front", "rear", "left", "right", " vertical ", " level ", " top ", " bottom ", " interior ", " outer " are Based on orientation shown in the drawings or position relationship, it is for only for ease of the description present invention and simplifies description, rather than instruction or dark Show that the device of meaning or element there must be specific orientation, with specific azimuth configuration and operation, thus it is it is not intended that right The limitation of the present invention.In addition, term " first ", " second " are only used for describing purpose, and it is not intended that instruction or hint are relative Importance.
In the description of the invention, it is necessary to illustrate, unless otherwise clearly defined and limited, term " installation ", " phase Even ", " connection " should be interpreted broadly, for example, it may be being fixedly connected or being detachably connected, or be integrally connected;Can To be mechanical connection or electrical connection;Can be joined directly together, can also be indirectly connected by intermediary, Ke Yishi The connection of two element internals.For the ordinary skill in the art, with concrete condition above-mentioned term can be understood at this Concrete meaning in invention.
Motor initial position angle automatic Calibration angle compensation process according to embodiments of the present invention is described below in conjunction with accompanying drawing And system.
Fig. 1 is the flow of motor initial position angle automatic Calibration angle compensation process according to an embodiment of the invention Figure.As shown in figure 1, this method comprises the following steps:
Step S1:Obtain motor initial position angle.
First, A phase currents I is gathered and by revolving the electrical angle for becoming sensor motor rotation change and sending by current sensor θrdc, as I=0, read rotation and become the electrical angle sent, as initial position angle θ1.In the case of theory, phase back-emf Zero crossing and rotation, which become the electrical angle of motor rotor zero degree that sends, to be overlapped, such as shown in Fig. 3, and abscissa x is time transverse axis, A Point is A phase back-emf zero crossings position, and B points become zero point (i.e. zero degree) position for reading electrical angle for rotation.And then utilize A phases electricity The deviation between zero point and rotation change zero degree is flowed through, calculates motor initial position angle θ1, schematic diagram calculation is as shown in Figure 4.
More specifically, in one embodiment of the invention, the motor initial position angle is obtained by equation below:
θ1=360- θrdc,
Wherein, θrdcBecome the electrical angle sent for motor rotation.
Step S2:The power-factor angle of A phases is obtained according to power input to a machine, AB line voltages and A phase currents.Wherein, For example, pass through the input power of power analyzer motor in real time, AB line voltages and A phase currents.
Specifically, power-factor angle is obtained by equation below:
Wherein, P is power input to a machine, UABFor AB line voltages, I is A phase currents,For power-factor angle.
Step S3:Electric angle frequency is obtained according to the rotating speed of motor, and A phases are obtained according to electric angle frequency and power-factor angle Internal power factor angle.
Specifically, existing motor initial position angle automatic calibration method is to become zero using A phase currents zero crossing and rotation Deviation between angle, calculate motor initial position angle.However, if going calculating using phase back-emf zero crossing, can more Accurately.Because the influence of motor internal parameter, phase difference between motor phase back-emf and phase current be present, thus it is, it is necessary to real When calculate internal power factor angle, with compensate with phase current carry out initial position angle automatic Calibration when angular error.At some In example, internal power factor angle ψ is motor phase back-emf E0With phase current IAPhase deviation, such as shown in Fig. 2.
More specifically, internal power factor angle is obtained by equation below:
Wherein, ψ is internal power factor angle, and U is A phase voltage virtual values, and U=UAB/ sqrt (3), φ are power-factor angle, I is A phase currents, XqFor quadrature axis reactance, and quadrature axis reactance X is calculated by electric angle frequencyq
Step S4:Motor initial position angle is compensated according to internal power factor angle, it is initial with the motor for obtaining final Position angle.
Specifically, motor initial position angle is compensated by equation below:
θ=θ1+ ψ, (3)
Wherein, θ1For motor initial position angle, θ is final motor initial position angle.
Generally speaking, the main calculating stream of the motor initial position angle automatic Calibration angle compensation process of the embodiment of the present invention Journey can be summarized as:The deviation become first using A phase currents zero crossing and rotation between zero degree, calculates motor initial position angle θ1.Again in motor bench, under permanent moment of torsion perseverance rotating speed, input power P, the AB line electricity of power analyzer motor in real time is utilized Press UABWith A phase current I, by above-mentioned formula (1), power-factor angle can be calculatedThen the motor speed meter of collection is passed through Electric angle frequency is calculated, quadrature axis reactance X is calculatedqWith d-axis reactance Xd, then by above-mentioned formula (2), be calculated internal power because Number angle ψ.Finally, by above-mentioned formula (3), it is compensated rear final initial position angle θ.So as to both improve initial position angle Measurement accuracy and moment of torsion control precision, also improve the operating efficiency of motor.Further, above-mentioned algorithm flow can be weighed repeatedly It is multiple to calculate, final motor initial position angle θ average value can be drawn, final electricity can be improved by being averaged after repeatedly calculating Machine initial position angle θ precision.
To sum up, motor initial position angle automatic Calibration angle compensation process according to embodiments of the present invention, electricity is obtained first Machine initial position angle, the power-factor angle of A phases is then obtained according to power input to a machine, AB line voltages and A phase currents, according to The rotating speed of motor obtains electric angle frequency, and obtains the internal power factor angle of A phases, last root according to electric angle frequency and power-factor angle Motor initial position angle is compensated according to internal power factor angle, to obtain final motor initial position angle, so as to improve Motor initial position angle measurement accuracy and moment of torsion control precision, while improve the operating efficiency of motor.
Further embodiment of the present invention additionally provides a kind of motor initial position angle automatic Calibration angle compensation system.
Fig. 5 is the structural frames of motor initial position angle automatic Calibration angle compensation system according to an embodiment of the invention Figure.As shown in figure 5, motor initial position angle automatic Calibration angle compensation system 100 according to an embodiment of the invention, bag Include:Acquisition module 110, computing module 120 and compensating module 130.
Wherein, acquisition module 110 is used to obtain motor initial position angle.
Specifically, acquisition module 110 obtains motor initial position angle by equation below:
θ1=360- θrdc,
Wherein, θrdcBecome the electrical angle sent for motor rotation.
Computing module 120 is used to obtain the power factor of A phases according to power input to a machine, AB line voltages and A phase currents Angle, and electric angle frequency is obtained according to the rotating speed of motor, and the internal power factor of A phases is obtained according to electric angle frequency and power-factor angle Angle.
Specifically, computing module 120 obtains power-factor angle by equation below:
Wherein, P is power input to a machine, UABFor AB line voltages, I is A phase currents,For power-factor angle.
Specifically, computing module 120 obtains internal power factor angle by equation below:
Wherein, ψ is internal power factor angle, and U is A phase voltage virtual values, and U=UAB/ sqrt (3), φ are power-factor angle, I is A phase currents, XqFor quadrature axis reactance, and quadrature axis reactance X is calculated by electric angle frequencyq
Compensating module 130 is used to compensate motor initial position angle according to internal power factor angle, final to obtain Motor initial position angle.
Specifically, compensating module 130 is compensated by equation below to motor initial position angle:
θ=θ1+ ψ,
Wherein, θ1For motor initial position angle, θ is final motor initial position angle.
It should be noted that the specific reality of the motor initial position angle automatic Calibration angle compensation system of the embodiment of the present invention Existing mode is similar with the specific implementation of the motor initial position angle automatic Calibration angle compensation process of the embodiment of the present invention, tool Body refers to the description of method part, and in order to reduce redundancy, here is omitted.
Motor initial position angle automatic Calibration angle compensation system according to embodiments of the present invention, it is initial that motor is obtained first Position angle, the power-factor angle of A phases is then obtained according to power input to a machine, AB line voltages and A phase currents, according to motor Rotating speed obtains electric angle frequency, and obtains the internal power factor angle of A phases according to electric angle frequency and power-factor angle, finally according to internal strength Rate factor angle compensates to motor initial position angle, to obtain final motor initial position angle, at the beginning of improving motor Beginning position angle measurement accuracy and moment of torsion control precision, while improve the operating efficiency of motor.
In the description of this specification, reference term " one embodiment ", " some embodiments ", " example ", " specifically show The description of example " or " some examples " etc. means specific features, structure, material or the spy for combining the embodiment or example description Point is contained at least one embodiment or example of the present invention.In this manual, to the schematic representation of above-mentioned term not Necessarily refer to identical embodiment or example.Moreover, specific features, structure, material or the feature of description can be any One or more embodiments or example in combine in an appropriate manner.
Although an embodiment of the present invention has been shown and described, it will be understood by those skilled in the art that:Not In the case of departing from the principle and objective of the present invention a variety of change, modification, replacement and modification can be carried out to these embodiments, this The scope of invention is by claim and its equivalent limits.

Claims (10)

1. a kind of motor initial position angle automatic Calibration angle compensation process, it is characterised in that comprise the following steps:
Obtain motor initial position angle;
The power-factor angle of A phases is obtained according to power input to a machine, AB line voltages and A phase currents;
Electric angle frequency is obtained according to the rotating speed of motor, and obtained according to the electric angle frequency and the power-factor angle in A phases Power-factor angle;And
The motor initial position angle is compensated according to the internal power factor angle, to obtain final motor initial position Angle.
2. motor initial position angle automatic Calibration angle compensation process according to claim 1, it is characterised in that by such as Lower formula obtains the power-factor angle:
Wherein, P is the power input to a machine, UABFor the AB line voltages, I is the A phase currents,For the power because Number angle.
3. motor initial position angle automatic Calibration angle compensation process according to claim 2, it is characterised in that by such as Lower formula obtains the internal power factor angle:
<mrow> <mi>&amp;Psi;</mi> <mo>=</mo> <mi>arctan</mi> <mo>=</mo> <mfrac> <mrow> <mi>U</mi> <mi> </mi> <mi>sin</mi> <mi>&amp;phi;</mi> <mo>+</mo> <msub> <mi>IX</mi> <mi>q</mi> </msub> </mrow> <mrow> <mi>U</mi> <mi>cos</mi> <mi>&amp;phi;</mi> </mrow> </mfrac> <mo>,</mo> </mrow>
Wherein, ψ is the internal power factor angle, and U is A phase voltage virtual values, and φ is the power-factor angle, and I is A phases electricity Stream, XqFor quadrature axis reactance.
4. motor initial position angle automatic Calibration angle compensation process according to claim 3, it is characterised in that by such as Lower formula compensates to the motor initial position angle:
θ=θ1+ ψ,
Wherein, θ1For the motor initial position angle, θ is final motor initial position angle.
5. motor initial position angle automatic Calibration angle compensation process according to claim 4, it is characterised in that by such as Lower formula obtains the motor initial position angle:
θ1=360- θrdc,
Wherein, the θrdcBecome the electrical angle sent for motor rotation.
A kind of 6. motor initial position angle automatic Calibration angle compensation system, it is characterised in that including:
Acquisition module, the acquisition module are used to obtain motor initial position angle;
Computing module, the computing module are used to obtain the work(of A phases according to power input to a machine, AB line voltages and A phase currents Rate factor angle, and electric angle frequency is obtained according to the rotating speed of motor, and A is obtained according to the electric angle frequency and the power-factor angle The internal power factor angle of phase;And
Compensating module, the compensating module are used to mend the motor initial position angle according to the internal power factor angle Repay, to obtain final motor initial position angle.
7. motor initial position angle automatic Calibration angle compensation system according to claim 6, it is characterised in that the meter Calculate module and the power-factor angle is obtained by equation below:
Wherein, P is the power input to a machine, UABFor the AB line voltages, I is the A phase currents,For the power because Number angle.
8. motor initial position angle automatic Calibration angle compensation system according to claim 7, it is characterised in that the meter Calculate module and the internal power factor angle is obtained by equation below:
<mrow> <mi>&amp;Psi;</mi> <mo>=</mo> <mi>arctan</mi> <mo>=</mo> <mfrac> <mrow> <mi>U</mi> <mi> </mi> <mi>sin</mi> <mi>&amp;phi;</mi> <mo>+</mo> <msub> <mi>IX</mi> <mi>q</mi> </msub> </mrow> <mrow> <mi>U</mi> <mi> </mi> <mi>cos</mi> <mi>&amp;phi;</mi> </mrow> </mfrac> <mo>,</mo> </mrow>
Wherein, ψ is the internal power factor angle, and U is A phase voltage virtual values, and φ is the power-factor angle, and I is A phases electricity Stream, XqFor quadrature axis reactance.
9. motor initial position angle automatic Calibration angle compensation system according to claim 8, it is characterised in that the benefit Module is repaid to compensate the motor initial position angle by equation below:
θ=θ1+ ψ,
Wherein, θ1For the motor initial position angle, θ is final motor initial position angle.
10. motor initial position angle automatic Calibration angle compensation system according to claim 9, it is characterised in that described Acquisition module obtains the motor initial position angle by equation below:
θ1=360- θrdc,
Wherein, the θrdcBecome the electrical angle sent for motor rotation.
CN201610891993.5A 2016-10-12 2016-10-12 Motor initial position angle automatic Calibration angle compensation process and system Expired - Fee Related CN107482984B (en)

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Cited By (5)

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Publication number Priority date Publication date Assignee Title
CN109347393A (en) * 2018-10-22 2019-02-15 北京新能源汽车股份有限公司 Method, device and equipment for testing initial position angle of motor
CN109586250A (en) * 2018-12-03 2019-04-05 中冶南方(武汉)自动化有限公司 Detection and protection method for initial angle deviation of rotary transformer
CN110932637A (en) * 2019-12-27 2020-03-27 浙江大学台州研究院 Rotor position identification method in stationary state of permanent magnet synchronous motor
CN112803857A (en) * 2021-01-06 2021-05-14 杭州湘滨电子科技有限公司 Motor initial angle calibration system and method for EPS
CN113037158A (en) * 2021-03-01 2021-06-25 潍柴动力股份有限公司 AC-DC axis decoupling control method and device for permanent magnet synchronous motor electric driving system

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CN104167971A (en) * 2014-08-22 2014-11-26 徐州中矿大传动与自动化有限公司 Detection device and method of initial position of rotor of electrically excited synchronous motor
CN104852663A (en) * 2015-05-11 2015-08-19 上海吉亿电机有限公司 Permanent magnet secondary synchronization reluctance motor rotor initial N/S pole exact identification method

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JP2010051078A (en) * 2008-08-20 2010-03-04 Sanyo Electric Co Ltd Motor control device
CN103560724A (en) * 2013-09-27 2014-02-05 南车株洲电力机车研究所有限公司 Method for determining initial position of synchronous motor
CN104167971A (en) * 2014-08-22 2014-11-26 徐州中矿大传动与自动化有限公司 Detection device and method of initial position of rotor of electrically excited synchronous motor
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Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109347393A (en) * 2018-10-22 2019-02-15 北京新能源汽车股份有限公司 Method, device and equipment for testing initial position angle of motor
CN109347393B (en) * 2018-10-22 2020-06-30 北京新能源汽车股份有限公司 Method, device and equipment for testing initial position angle of motor
CN109586250A (en) * 2018-12-03 2019-04-05 中冶南方(武汉)自动化有限公司 Detection and protection method for initial angle deviation of rotary transformer
CN109586250B (en) * 2018-12-03 2020-05-08 中冶南方(武汉)自动化有限公司 Detection and protection method for initial angle deviation of rotary transformer
CN110932637A (en) * 2019-12-27 2020-03-27 浙江大学台州研究院 Rotor position identification method in stationary state of permanent magnet synchronous motor
CN110932637B (en) * 2019-12-27 2021-05-18 浙江大学台州研究院 Rotor position identification method in stationary state of permanent magnet synchronous motor
CN112803857A (en) * 2021-01-06 2021-05-14 杭州湘滨电子科技有限公司 Motor initial angle calibration system and method for EPS
CN112803857B (en) * 2021-01-06 2023-02-14 杭州湘滨电子科技有限公司 Motor initial angle calibration system and method for EPS
CN113037158A (en) * 2021-03-01 2021-06-25 潍柴动力股份有限公司 AC-DC axis decoupling control method and device for permanent magnet synchronous motor electric driving system

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