EP2510313A1 - Verfahren zur kalkulation einer winkelposition, messvorrichtung und sensorlager - Google Patents
Verfahren zur kalkulation einer winkelposition, messvorrichtung und sensorlagerInfo
- Publication number
- EP2510313A1 EP2510313A1 EP09813821A EP09813821A EP2510313A1 EP 2510313 A1 EP2510313 A1 EP 2510313A1 EP 09813821 A EP09813821 A EP 09813821A EP 09813821 A EP09813821 A EP 09813821A EP 2510313 A1 EP2510313 A1 EP 2510313A1
- Authority
- EP
- European Patent Office
- Prior art keywords
- signal
- signals
- following equation
- generating
- sensor
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Withdrawn
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01D—MEASURING NOT SPECIALLY ADAPTED FOR A SPECIFIC VARIABLE; ARRANGEMENTS FOR MEASURING TWO OR MORE VARIABLES NOT COVERED IN A SINGLE OTHER SUBCLASS; TARIFF METERING APPARATUS; MEASURING OR TESTING NOT OTHERWISE PROVIDED FOR
- G01D5/00—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable
- G01D5/12—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable using electric or magnetic means
- G01D5/244—Mechanical means for transferring the output of a sensing member; Means for converting the output of a sensing member to another variable where the form or nature of the sensing member does not constrain the means for converting; Transducers not specially adapted for a specific variable using electric or magnetic means influencing characteristics of pulses or pulse trains; generating pulses or pulse trains
- G01D5/24471—Error correction
- G01D5/2448—Correction of gain, threshold, offset or phase control
Definitions
- the invention relates to a method for estimating the angular position of a rotating device with respect to a stationary device, to a measuring device, and to a sensor bearing.
- the system comprises an annular encoder comprised of a plurality of magnetic poles fixed to one of the rotating or the non-rotating elements and at least three magnetic field sensors configured to receive a signal originating from the encoder.
- the sensors are mounted to the other of the non-rotating or rotating elements in an angularly distributed manner.
- the system further comprises a computation unit which calculates, utilizing the output signals form the sensors, signals, particularly voltages, equalling the sine and the cosine of the angular position, i.e. orthogonal signals based on the angular position. Utilizing these signals, the angular position can be calculated.
- the object of the invention is achieved by means of a method for estimating the angular position of a rotating device with respect to a stationary device, comprising the steps of: generating first and second signals which represent the angular position of the rotating device with respect to the stationary device, the first and second signals being phase shifted by approximately 90°;
- generating a scaled first signal by multiplying the first signal by a first scaling factor; generating a third signal by adding the scaled first signal to the second signal; the first scaling factor being chosen such that the phase shift between the first and the third signals is 90° with better accuracy than the phase shift between the first and second signals; and estimating the angular position of the rotating device with respect to the stationary device by utilizing the first and third signals.
- two signals namely the first and second signals are first generated.
- the first and second signals are phase shifted by approximately 90°, are particularly sinusoidal signals, and comprise information about the angular position of the rotating device with respect to the stationary.
- the first and second signals may preferably be generated by generating sensor signals by rotating a plurality of poles, particularly magnetic poles, with the rotating device about a plurality N of angularly distributed sensors fixed to the stationary device; and generating the first and second signals by processing the sensor signals.
- plurality of sensors may be fixed to the rotating device and the plurality of poles may be fixed to the stationary device.
- the object of the invention is also achieved by means of a measuring device configured to estimate the angular position of a rotating device with respect to a stationary device, comprising:
- a plurality of poles particularly magnetic poles, configured to be attached to one of the rotating device or to the stationary device;
- a plurality N of angularly distributed sensors configured to be attached to the other of the rotating device or to the stationary device and to generate sensor signals while the rotating device rotates around the stationary device;
- an electronic computing device configured to generate first and second signals which represent the angular position of the rotating device with respect to the stationary device, the first and second signals being phase shifted by approximately 90°;
- the first scaling factor being chosen such that the phase shift between the first and the third signals is 90° comprising better accuracy than the phase shift between the first and second signals;
- the third signal is generated by adding to the second signal the scaled version of the first signal.
- the relevant first scaling factor is chosen such that the phase shift between the first and the third signals is ideally exactly 90° or at least 90° with an improved accuracy compared to the phase shift between the original first and second signals. Then, utilizing the first and third signals for the angular position estimate results in its improved accuracy.
- the first signal is generated according to the following equation:
- N is the number of sensors
- Ui(t) is the output signal of the i-th sensor
- O is the dc-Offset of the output voltage of the i-th sensor
- a t is the amplitude of the output voltage of the i-th sensor
- ⁇ , ⁇ is the phase shift of the output voltage of the i-th sensor with respect to a reference angle. It is also possible to generate the first signal according to the following equation:
- phase shift of the output voltages of the i-th sensor with respect to the reference angle can be estimated as:
- first and second signals are based on the aforementioned equations, then the first and second signals can be rearranged according to the following equations:
- the signals ⁇ O ( . ⁇ cos( ?,. ) and ⁇ O ( . ⁇ sin( , ) represent each a non-rotating vector, i.e.
- the rotating vectors would be exactly phase-shifted by 90° and would have the same amplitude. Since the sensors are likely to comprise non-ideal behaviour, the rotating vectors are not exactly phase shifted by 90° and may differ in amplitude. This is illustrated in Fig. 1, wherein the vectors S 1 ⁇ S 2 represent the first and the second signals based on real-sensor signals and S 3 represents the third signal which is phase shifted by 90° with respect to the first signal with better accuracy.
- Real, i.e. non-ideal sensor response may be caused, for instance, by production process variations.
- the angular positions are likely to be non-ideal because of positioning tolerances.
- the first scaling factor may particularly be estimated according to the following equation:
- the third signal is generated utilizing the second signal and a scaled version of the first signal.
- the third signal can be estimated by adding a scaled version of the vector representing the first signal to the vector representing the second signal, wherein the scaling factor is chosen such that the relevant vectors are phase-shifted by 90° having better accuracy.
- this vector is also a rotating vector turning at the angular velocity, ⁇ .
- the first and second signals Sj, ⁇ 3 ⁇ 4 may have amplitudes 15 / 1, I 3 ⁇ 4l and phases / , ⁇ 2 .
- the phase shift between these two signals is ⁇ , different from 90°.
- the difference between 90° and ⁇ is denoted as ⁇ .
- the correction signal, "D" is: ⁇ ⁇
- the scaled first signal, Si ' can be estimated as or with ⁇ ' ⁇ radian:
- a scaled second signal may be generated by multiplying the second signal by a second scaling factor; a fourth signal may be generated by adding the scaled second signal to the first signal; the first and second scaling factors being chosen such that the phase shift between the third and the fourth signals is 90° having better accuracy than the phase shift between the first and second signals; and the angular position of the rotating device with respect to the stationary device is utilized by utilizing the third and the fourth signals.
- the third signal may be estimated according to the following equation:
- Di is the second scaling factor particularly estimated according to the following equation:
- one of the first or second signals or both, the first and the second signals are corrected. Consequently, depending on the embodiment and particularly with reference to Fig. 2, the third or fourth signals may be estimated, if only one of the first or second signals is corrected, as following: ⁇
- the third and the fourth signals may be estimated as following:
- Figs. 1, 2 are phasor diagrams
- Fig. 3 is a measuring device for estimating the angular position of a rotating device with respect to a stationary device
- Fig. 4 is an alternative circuit of the measuring device of fig. 3;
- Fig. 5 is an electric motor comprising the measuring device;
- Fig. 6 is a bearing comprising the measuring device.
- Fig. 3 shows a measuring device for measuring the angular position ⁇ of a rotating device with respect to a stationary device.
- the measuring device comprises a plurality of sensors 1, for instance five magnetic field sensors 1 which preferably are regularly distributed circumferentially around a coder annulus 2. Two adjacent sensors 1 are displaced by an angle, ⁇ .
- the sensors 1 are, for instance, Hall-effect probes.
- the coder annulus 2 which can rotate with respect to the sensors 1, comprises a North pole 3 occupying an angular sector of 180° and a South pole 4 occupying an angular sector of 180°.
- the coder annulus 2 may be manufactured by magnetizing a magnetic alloy, a plasto- ferrite, or an elasto-ferrite, and generates a magnetic field, B.
- the sensors 1 detect the magnetic field and generate, in response to detecting the magnetic field, electric signals, particularly electric voltages, U t), as output signals. If the coder annulus 2 rotates with constant angular velocity, ⁇ , with respect to the sensors 1, then the electric signals generated by the sensors 1 are sinusoidal. Since for the example embodiment two adjacent sensors 1 are displaced by the angle, ⁇ p, the signals generated by two adjacent sensors 1 are phase shifted by ⁇ .
- the measuring device further comprises a computational circuit 5 whose input signals are the signals generated by the sensors 1.
- the computational circuit 5 may be a digital device first digitizing the signals from the sensors 1 or may be an analog device.
- computational circuit 5 may comprise discrete electric devices and/or integrated devices, for instance, a microcontroller or a microprocessor.
- the computational device 5 may be powered, for instance, by an appropriate voltage source 6.
- the computational circuit 5 comprises a first computing device 7 and a second computing device 8.
- the input signals for the computing devices 7 and 8 are the output signals of the sensors 1, i.e. the voltages Ui(t).
- the first computing device 7 is configured to generate an output signal S c (t):
- the output signal S c (t) of the first computing device 7 is also one of the output signals of the computational device 5.
- the second computing device 8 is configured to generate an output signal S s (t):
- N is the number of sensors 1, £/,(3 ⁇ 4) is the output signal (output voltage) of the i-th sensor 1 , O, is the dc-Offset of the output voltage of the i-th sensor 1 , A t is the amplitude of the output voltage of the i-th sensor 1, and ⁇ , is the phase shift of the output voltage of the i-th sensor 1 with respect to the reference angle.
- the computational circuit 5 may include filters, particularly high pass or band pass filters, which may be configured to remove or at least attenuate dc components of the signals U t (t) coming from the sensors 1.
- the angular position, ⁇ , of the coder annulus 2 with respect to the rotating sensors 1 with reference to the reference angle can be estimated utilizing the Arctan function which may be implemented in a device 11 whose input signals are the signals S c (t), S s (t). Due to, for instance, real device behavior of the sensors 1, the signals S c (t), S s (t) may have a phase shift differing from 90°. The deviation of this phase shift from 90° is denoted as ⁇ .
- At least one of the signals S c (t), S s (t) is compensated by adding a signal, C, which is derived from the other of the signals S c (t), S s (t).
- the output signal S s (t) of the second computing device 8 is compensated by a signal C c (t) which is derived from the output signal S c (t) of the first computing device 7.
- the signal C c (t) is generated by a gain device 9 having an adjustable gain D.
- the signal C c (t) is added to the output signal S s (t) of the second computing device 8 by a summation device 10.
- the output signal S Stmo d(t) of the summation device 10, which is another output signal of the computational device 5 is:
- the gain D is calibrated such that the phase shift between the signals S c (t), S s>mo d(t) is 90° within a sufficient accuracy, for instance, depending on the application.
- An example of the calibration procedure will be explained below.
- the gain D can be obtained according to the following equation:
- the output signals S c (t), S s,mod (t) of the computational device 5 can be fed to the device 11 which can, for instance, calculate the angular position ⁇ by subjecting the signals S c (t), S s .m od (t) to an Arctan function.
- Fig. 4 shows an alternative computational device 5a which is configured to compute the signals S c (t), S s,m0d (t) utilizing the output signals Ui(t) of the sensors 1.
- the computational device 5a of fig. 4 comprises the first computing device 7 configured to calculate the output signal S c (t) and the gain device 9.
- the computational device 5 a comprises a third computing device 8a whose input signals are the output signals Ui(t) of the sensors 1 and the output signal C c (t) of the gain device 9.
- the third computing device 8a is configured to internally compute the signal S s,mod (t)-
- Figure 5 shows an exemplary application of the measuring device.
- Figure 5 shows an electric motor 12 comprising a rotating shaft 13.
- the shaft 13 rotates with respect to stationary parts of the electric motor 12, for instance its stator 14.
- the code annulus 2 is mounted on the shaft 13 and thus rotates with the shaft 13 with the angular velocity, ⁇ , relative to the stator 14.
- the sensors 1, which may be placed on a printed circuit board not explicitly shown in the figures, are fixed to the stator 14 or other stationary parts of the electric motor 12.
- the computational device 5 or 5a and the device 1 1 may also be fixed to the circuit board.
- the angular position ⁇ of the shaft 13 with respect to the stationary parts of the electric motor 12 can be measured utilizing the measuring devices of figures 3 or 4.
- Figure 6 shows another exemplary application of the measuring device.
- Figure 6 shows a sensor bearing 15 which comprises inner and outer braces.
- the inner brace or rotating ring 16 of the bearing 15 supports the annulus coder 2 and the outer brace or stationary ring 17 supports the sensors 1 including the computational device 5, 5a and the device 1 1.
- the bearing 15 can be used in various applications, for instance, to support an electric motor shaft. Consequently, the angular position ⁇ of the rotating ring 16 with respect to the stationary ring 17 can be measured utilizing the measuring devices of figures 3 or 4.
- the signal S s (t) is modified utilizing the signal the signal S c (t). It is also possible to modify the signal the signal S c (t) utilizing the signal S s (t) or to modify both signals S c (t), S s (t).
- the measuring device may be calibrated as following:
- the measuring device is mounted on the electric motor 12. After one turn of the shaft 13 at constant angular velocity, co, of, for instance, 100 rpm, and using, for instance, a reference annulus coder, the output signals S c (t), S s (t) are obtained, i.e. their amplitudes A c , A s and the phase shift with respect to each other. Utilizing these values, the gain D can be calculated.
- the coder annulus can comprise a plurality of pairs of poles, the poles being for instance magentic or optical poles.
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Measurement Of Length, Angles, Or The Like Using Electric Or Magnetic Means (AREA)
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
PCT/IB2009/008058 WO2011070391A1 (en) | 2009-12-10 | 2009-12-10 | Method for estimating the angular position, measuring device and sensor bearing |
Publications (1)
Publication Number | Publication Date |
---|---|
EP2510313A1 true EP2510313A1 (de) | 2012-10-17 |
Family
ID=43216511
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
EP09813821A Withdrawn EP2510313A1 (de) | 2009-12-10 | 2009-12-10 | Verfahren zur kalkulation einer winkelposition, messvorrichtung und sensorlager |
Country Status (2)
Country | Link |
---|---|
EP (1) | EP2510313A1 (de) |
WO (1) | WO2011070391A1 (de) |
Families Citing this family (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2014060040A1 (en) * | 2012-10-19 | 2014-04-24 | Aktiebolaget Skf | A system for shifting an analogical output signal of a sensor device, a sensor-bearing unit and a shifting method |
US9562790B2 (en) | 2013-01-07 | 2017-02-07 | Aktiebolaget Skf | System for delivering at least one shifted analogical output signal |
US10838023B2 (en) | 2019-01-25 | 2020-11-17 | Aktiebolaget Skf | High performance magnetic ring and sensor arrangement |
DE102020208675A1 (de) | 2020-07-10 | 2022-01-13 | Aktiebolaget Skf | Verfahren zum Positionieren einer Magnetvorrichtung |
Family Cites Families (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPH06167354A (ja) * | 1992-11-27 | 1994-06-14 | Sony Magnescale Inc | スケールの内挿処理装置 |
JP2000304570A (ja) * | 1999-04-21 | 2000-11-02 | Sony Corp | 位相調整回路、スケール信号発生回路および位置測定装置 |
EP1471332A1 (de) * | 2003-04-17 | 2004-10-27 | Dialog Semiconductor GmbH | Digitale Schnittstelle für einen Winkelsensor |
FR2902516A1 (fr) * | 2006-11-22 | 2007-12-21 | Siemens Vdo Automotive Sas | Dispositif et procede de conditionnement pour un capteur de position angulaire du type produisant au moins deux signaux periodiques dephases. |
JP4568298B2 (ja) * | 2007-03-16 | 2010-10-27 | オークマ株式会社 | 位置検出装置 |
-
2009
- 2009-12-10 WO PCT/IB2009/008058 patent/WO2011070391A1/en active Application Filing
- 2009-12-10 EP EP09813821A patent/EP2510313A1/de not_active Withdrawn
Non-Patent Citations (1)
Title |
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See references of WO2011070391A1 * |
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WO2011070391A1 (en) | 2011-06-16 |
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