Method for identifying magnetic saturation parameters of an asynchronous electric motor
10432121 ยท 2019-10-01
Assignee
Inventors
- Al Kassem Jebai (Vernon, FR)
- Francois Malrait (Jouy sur Eure, FR)
- Thomas DEVOS (Carrieres sous Poissy, FR)
- Alain Dutrey (Saint Germain en Laye, FR)
Cpc classification
H02P23/14
ELECTRICITY
H02P21/14
ELECTRICITY
International classification
H02P21/14
ELECTRICITY
H02P23/14
ELECTRICITY
H02P1/42
ELECTRICITY
Abstract
A method identifies magnetic saturation parameters of an asynchronous electric motor. The method consists in a monitoring and identification sequence including one or several iterations. The method includes applying at the input of the control law of a reference voltage or a reference flux trajectory or a reference range in order to obtain a magnetization current, building a real profile of magnetic saturation including estimate magnetization flux and measures magnetization current, and determining magnetic saturation parameters corresponding to the real profile already obtained.
Claims
1. A method of identifying the magnetic saturation parameters of an asynchronous electric motor (M), the method comprising implementing a sequence comprising one or more iterations, each iteration being defined with a rank i, with i ranging from 1 to n, each iteration of rank i when i is greater than or equal to 2 comprising the following steps: a) applying a trajectory to a reference voltage or to a reference flux, over a reference range (PLref_i) having a voltage or flux amplitude between a minimum value and a maximum value, b) acquiring the values of the currents (i.sub.a, i.sub.b and i.sub.c) in the phases of the electric motor and determining the corresponding magnetization current, c) estimating the magnetization flux p({circumflex over ()}), d) constructing an actual profile for the iteration of rank i comprising said estimated magnetization flux according to the measured magnetization current, e) determining the magnetic saturation parameters corresponding to the actual profile of the iteration of rank i, f) determining a deviation (E.sub.r .sub._.sub.i) between said actual profile for the iteration of rank i and a theoretical profile constructed from the magnetic saturation parameters obtained during the iteration of rank i1, and g) validating the magnetic saturation parameters obtained during the iteration of rank i when said deviation is less than a threshold (E.sub.rmax) and when the reference range (PLref_i) applied at the input has a sufficient amplitude.
2. The method according to claim 1, wherein when said deviation (E.sub.r.sub._.sub.i) is greater than said threshold (E.sub.rmax), the method further comprises the following step: comparing said deviation (E.sub.r.sub._.sub.i) of the iteration of rank i in relation to the deviation (E.sub.r.sub.
3. The method according to claim 1, further comprising, after step f), a step of verifying the reference range used in relation to a threshold range (PL_th).
4. The method according to claim 3, further comprising, after said step of verifying, a step of updating the magnetic saturation parameters with the magnetic saturation parameters calculated during the iteration of rank i when the applied reference range is less than said threshold range (PL_th).
5. The method according to claim 4, further comprising a step of modifying said reference range after said step of updating the magnetic saturation parameters and implementing the iteration of rank i+1 with a new reference range.
6. The method according to claim 1, wherein for the iteration of rank i=1, the magnetic saturation parameters are determined so that the estimated magnetization flux ({circumflex over ()}) is substantially equal to the nominal flux.
7. A system of identifying the magnetic saturation parameters of an asynchronous electric motor (M), the system being configured to implement a sequence comprising one or more iterations, each iteration being defined with a rank i, with i ranging from 1 to n, and for each iteration of rank i when i is greater than or equal to 2 the system comprises: a) a module for applying a trajectory to a reference voltage or to a reference flux, over a reference range, b) a module for acquiring the currents (i.sub.a,i.sub.b and i.sub.c) in the phases of the electric motor and determining the corresponding magnetization current, c) a module for estimating the magnetization flux ({circumflex over ()}), d) a module for constructing an actual profile for the iteration of rank i comprising said estimated magnetization flux according to the measured magnetization current, e) a module for determining the magnetic saturation parameters corresponding to the actual profile of the iteration of rank i, f) a module for determining a deviation (E.sub.r.sub._.sub.i) between said actual profile for the iteration of rank i and a theoretical profile constructed from the magnetic saturation parameters obtained during the iteration of rank i1, and g) a module for validating the magnetic saturation parameters obtained during the iteration of rank i when said deviation is less than a threshold (E.sub.rmax) and when the reference range (PLref_i) applied at the input has a sufficient amplitude.
8. The system according to claim 7, wherein when said deviation (E.sub.r.sub._.sub.i) is greater than said threshold (E.sub.rmax), said system comprises a module for comparing said deviation (E.sub.r.sub._.sub.i) of the iteration of rank i in relation to the deviation (E.sub.r.sub.
9. The system according to claim 7, further comprising a module for verifying the reference range used in relation to a threshold range (PL_th), executed when said deviation is less than a threshold (E.sub.rmax).
10. The system according to claim 9, further comprising a module for updating the magnetic saturation parameters with the magnetic saturation parameters calculated during the iteration of rank i when the applied reference range is less than said threshold range (PL_th).
11. The system according to claim 10, further comprising a module for modifying said reference range after said step of updating the magnetic saturation parameters and implementing the iteration of rank i+1 with a new reference range.
12. The system according to claim 7, wherein for the iteration of rank i=1, the magnetic saturation parameters are determined so that the estimated magnetization flux ({circumflex over ()}) is substantially equal to the nominal flux.
13. A variable speed drive, comprising the system of identifying as defined in claim 7.
Description
BRIEF DESCRIPTION OF THE FIGURES
(1) Other features and advantages will appear in the following detailed description, made in connection with the appended figures listed below:
(2)
(3)
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DETAILED DESCRIPTION OF AT LEAST ONE EMBODIMENT
(9) The invention applies to the control of an asynchronous type electric motor. It concerns the determination of the magnetic saturation characteristic of the motor. This characteristic is defined from multiple magnetic saturation parameters.
(10) In the rest of the description, the expression magnetic saturation profile takes the form of a curve connecting the magnetization current and magnetization flux (also called magnetizing flux).
(11) In the rest of the description, the following notations will be used:
(12) Advantageously the electric motor is a three-phase type.
(13) The method of identifying these magnetic saturation parameters is applicable to an asynchronous type electric motor controlled by an electronic control unit using a vector flux control (without speed sensor) or a scalar type control (U/F).
(14) The method of identifying of the invention works when the electric motor is in normal operation, whether under load or no-load.
(15) The duration of the method of identifying is very short, e.g. of the order of 60 sec approximately, which is totally transparent in some applications (pumping application, for example).
(16) The method may also be implemented in a parameter setting step (commissioning) before the normal operation of the motor within the framework of its application.
(17) The method may be implemented only once for identifying the magnetic saturation parameters of the electric motor. It may be re-implemented later, e.g. in case of wear of the motor.
(18) A variable speed drive conventionally comprises, but not restrictively: A rectifier stage connected to an electrical power source for receiving an AC voltage; the rectifier may be of a passive type such as a diode bridge or an active type based on controlled transistors; A DC power supply bus on which the rectified voltage is applied by the rectifier stage and notably comprising two bus lines and at least one bus capacitor connected between the two lines for stabilizing the bus voltage; An inverter stage (INV) connected at the output of the DC bus and intended to cut off the DC voltage supplied by the bus at a variable voltage to the electric motor; the inverter stage comprises multiple switching arms each comprising controlled power transistors for applying the variable voltage to the electric motor.
(19) The variable speed drive advantageously incorporates a control unit intended to ensure control of the transistors of the inverter stage. The control unit is based on a control law for determining the voltages to be applied to the electric motor; the control law may notably be of a vector or a scalar type.
(20) The method of identifying is implemented by said control unit.
(21) The system of identifying of the invention advantageously comprises said control unit as well as the software blocks or modules executed by said control unit for implementing the method of identifying of the invention. Suitable software modules will be executed for performing one or more of the steps in the method of identifying.
(22) The system of identifying advantageously comprises measurement means, notably current sensors intended to measure the currents i.sub.a, i.sub.b, i.sub.c present in the three phases of the motor M. An acquisition module present in the control unit is suitable for collecting all the measurements performed.
(23) With reference to
(24) With reference to
(25) The method of identifying of the invention is notably based on obtaining a variation of the magnetization flux in the electric motor.
(26) For a vector type flux control, this variation of magnetization flux is obtained by making the reference flux applied at the input of the control law follow a determined trajectory. By way of example, but not restrictively,
(27) For a scalar type control, this variation of flow magnetization is obtained by making the reference voltage applied at the input of the control law follow a determined trajectory. The frequency applied at the input is kept constant. By way of example, but not restrictively,
(28) For both possible types of control law, the system of identifying also comprises a block B7, B15 for identifying the magnetic saturation parameters.
(29) In the case of the vector type control law, the identifying block B7 receives at the input the magnetization current i.sub.d (corresponding to the current measured on the d-axis), the estimated flux {circumflex over ()}, the current reference
(30) In the case of the scalar type control law, the identifying block receives at the input the magnetization current, the estimated flux and the motor voltages on the d-axis and on the q-axis.
(31) For both control modes (scalar or vector), the magnetic saturation parameters are identified in the manner described below.
(32) It consists in implementing an observation and identification sequence comprising one or more iterations, each iteration being defined by a rank i, with i ranging from 1 to n.
(33) An observation and identification sequence of rank i, when i is greater than or equal to 2, may include the following steps: A step of applying a voltage reference or a flux reference at the input of the control law, according to a reference range, along the predefined trajectory, so as to obtain a variation of the magnetization flux. The trajectory creation block B6 or B13 is then executed. A step of measuring the currents in the three phases of the motor and of determining the current on the d-axis (magnetization current). A step of estimating the magnetization flux. The block B2 or B14 is then executed. A step of constructing the actual profile expressing over the course of time the variation of the estimated magnetization flux according to the determined magnetization current. The block B7 or B15 is then executed. A step of identifying the magnetic saturation parameters for the iteration in progress based on said actual profile constructed. The block B7 or B15 is executed. A step of determining a deviation between the actual profile constructed and a theoretical profile obtained by taking into account the magnetic saturation parameters determined during the preceding iteration i1. For the iteration in progress, the magnetic saturation parameters are not yet determined. The block B7 or B15 is executed. If this deviation is less than a predefined threshold a decision step will then be executed. If this deviation is greater than said predefined threshold, two cases are possible: If the deviation determined in this iteration i is less than the deviation obtained during the preceding iteration i1, the magnetic saturation settings are updated with the parameters obtained for the iteration in progress. A new iteration i+1 is then launched. If the deviation determined during this iteration i is greater than the deviation obtained during the preceding iteration i1, the magnetic saturation parameters are reinitialized with those obtained during the iteration i2. A new iteration i+1 is then launched.
(34) A first step may consist in initializing the magnetic saturation parameters with the parameters of a linear magnetic saturation model. In general, these parameters are applied by default in the absence of a more precise method of identifying parameters.
(35) For simplifying the principle of the method of identifying, for the iteration of rank 1, a first observation and identification sequence may initially be implemented for obtaining a first set of parameters (different from the linear parameters defined above). The reference range used in the flux or voltage trajectory during this first sequence makes it possible to obtain a magnetic saturation curve located around the nominal flux.
(36) The decision step consists in ensuring that the reference range applied at the input is sufficient. The same determined set of magnetic saturation parameters must be able to apply over a relatively extended portion of the magnetic saturation curve.
(37) The successive iterations make it possible to extend the reference range as long as a set of magnetic saturation parameters remains valid for characterizing the magnetic saturation curve.
(38) Thus, during the decision step, two cases may arise: If the reference range is not sufficient, a new iteration is launched with a new reference range wider than that of the iteration that has just finished. It will therefore be necessary to extend the voltage or flux reference range applied at the input for scanning a wider area of the magnetic saturation curve. If the reference range is sufficient, an optional validation sequence may be performed.
(39) This optional validation sequence consists in making sure that the magnetic saturation parameters present in memory at the end of the last iteration performed do make it possible to obtain a theoretical magnetic saturation profile which exhibits a deviation less than said predefined threshold in relation to the actual magnetic saturation profile.
(40)
(41) In a more detailed way, within the framework of a flux vector control law, the method offers the particular features described below.
(42) With reference to
(43) It relies notably on an estimate of the magnetization flux performed by the flux observer block B2.
(44) The speed of the motor is estimated from the measured currents (speed observer block B3). The current (current control and flux observer block B2) and the speed (speed control block B1) are controlled by using PI (proportional-integral) action controllers.
(45) During the identification of the magnetic saturation parameters, the motor (under no-load or under load) is controlled at a constant speed by the vector control law. It may notably be considered that the motor turns at half its nominal speed (for avoiding voltage limitation).
(46) In the course of each iteration, the block B6 causes the flux reference
(47) This trajectory is, for example, the following: First phase ph1 of preparation at constant flux; Second phase ph2 of reducing the flux in a ramp to bring it down to a minimum value P.sub.0. Third phase ph3 of stabilizing at the minimum value P.sub.0. Fourth phase ph4 of increasing the flux from the minimum value P.sub.0 at instant T.sub.0 until reaching the maximum value P.sub.1 at instant T.sub.1. The step of identifying the magnetic saturation parameters starts at instant T.sub.0 and ends at instant T.sub.1. The object is then to scan the whole area of the magnetic saturation curve located between P.sub.0 and P.sub.1. The block B7 for identifying the magnetic saturation parameters then implements, between T.sub.0 and T.sub.1, a recursive non-linear least square type resolution algorithm which makes it possible to estimate the saturation parameters. A fifth phase ph5 of reducing the flux.
(48) It should be noted that, in the case of a scalar type control, the same phases ph1 to ph5 apply in the case of applying a voltage trajectory, between a minimum value U.sub.0 and a maximum value U.sub.1, as represented in
(49) A modification of the reference range PLref_i will therefore consist in modifying the minimum and/or the maximum flux or voltage value, notably for extending this reference range.
(50) A step of comparing the applied reference range PLref_i with a minimum threshold PL_th will be, for example, implemented for deciding whether or not the applied reference range is sufficient in the course of each iteration.
(51) The control law makes it possible to estimate the flux in the flux observer block B2. Estimating the flux is a prerequisite for the magnetic saturation identification algorithm. There are multiple methods for estimating the flux. By way of example and without loss of generality, at medium and high speed (in this case), the flux may be approximated by using the following relationship:
(52)
With:
(53)
which is the amplitude of the motor voltage where u.sub.a, u.sub.b and u.sub.c are the voltages applied by the variable speed drive to the motor. .sub.s (rd/s) is the electrical pulsation of the voltages applied by the variable speed drive to the motor.
(54) The magnetic saturation model used is represented by a mathematical relationship between the magnetization current i.sub.d and the magnetization flux :
(55)
(56) where L.sub.0, and are the magnetic saturation parameters and is the magnetic saturation function.
(57) At each iteration, it is from such a magnetic saturation model that the magnetic saturation parameters are determined. The set of magnetic saturation parameters will make it possible to obtain the theoretical profile that best approximates the actual profile.
(58) The current measurement i.sub.d and the estimated flux {circumflex over ()} are used in real time by the block B7 for identifying the magnetic saturation parameters for estimating the saturation parameters by using the recursive non-linear least square type resolution algorithm. The object is then to find the parameters of the saturation function (described in the model) which best approximate the estimated magnetization flux-magnetization current relationship which is obtained experimentally:
i.sub.d=({circumflex over ()})
(59) At the end of each identifying step, the algorithm determines the values of the saturation parameters L.sub.0, and which are based on the data (flux and current) obtained during the iteration in progress. These parameters will be used in the next iteration.
(60) In this embodiment, the acceptance deviation between the actual profile determined for the iteration in progress and the theoretical profile obtained from the magnetic saturation parameters obtained during the preceding iteration, is based on the following quantity Er:
(61)
(62) where: (t)=|{circumflex over ()}(t)
(63) In other words, the quantity E.sub.r represents the distance or the deviation between the actual saturation profile obtained during the iteration in progress and the theoretical profile obtained with the saturation parameters determined during the preceding iteration.
(64) The quantity E.sub.r is determined on line in real-time by integrating (t) and i(t). During each iteration, a value of E.sub.r is obtained which corresponds to the magnetic saturation parameters obtained in the preceding step. It is only at the end of each iteration that a new value of E.sub.r is obtained.
(65) At each iteration, the acceptance criterion of the magnetic saturation parameters is:
E.sub.r<E.sub.rmax
(66) where E.sub.rmax is a predefined threshold (set at 2%, for example). This threshold is stored in memory.
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(69) It should be understood that the same particular features and the same principles apply in the case of a scalar type control law.
(70) In the case of a scalar type control, identifying the magnetic saturation parameters is based on the magnetization current (Im) which does not directly correspond to the current measured on the d-axis.
(71) Described below are two examples of the use of the magnetic saturation curve (high speed, energy saving), showing the utility of identifying the magnetic saturation parameters for a wide range of operation.
(72) High Speed Operation:
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(75) Operation in Energy-saving Mode:
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(78) This curve may be used in normal operation of the motor to compensate for the effects of magnetic saturation. This makes it possible to improve the motor control performance: reduction in energy consumption and in total current consumed for the same operating point (torque, speed) and maximization of the torque achievable for a given maximum current.
(79) It is clear from the foregoing that part of the ingenuity of the invention consists in validating the magnetic saturation parameters determined during the iteration in progress by taking into account the actual magnetic saturation profile that they are supposed to best approximate. It would be possible to wait until the end of identifying the magnetic saturation parameters for the iteration in progress, then to construct the theoretical profile from these parameters and compare it to the actual profile for comparison. But this solution is not effective. In the solution of the invention, the comparison of the actual profile and the theoretical profile, obtained from the magnetic saturation parameters of the preceding iteration, may be performed in parallel with identifying the magnetic saturation parameters for the iteration in progress. The duration of processing is therefore optimized.
(80) It emerges from this that the invention which consists in determining the magnetic saturation parameters that best approximate the magnetic saturation curve of the motor, over a sufficiently wide range, offers many advantages, including: Improving the stability and performance of the electric motor running at very high speed; Improving the maximum torque supplied by the electric motor; Reducing the current consumption by the electric motor; Increasing the energy efficiency of the electric motor.