The invention relates to a method for a position angle sensorless
and rotational speed sensorless control of a synchronous machine, the method comprising
the steps of determining phase currents of a stator in the synchronous machine,
determining phase voltages of a stator in the synchronous machine and estimating
a position angle of a rotor in the synchronous machine.
Synchronous machines are generally used as motors in the applications
thereof, where extensive power is required as well as reliable behaviour at a broad
speed range. High-powered synchronous motors are controlled in a controlled manner
using cycloconverters or other types of frequency converters, which provide the
stator of the synchronous motor with the desired voltage.
In order to control a synchronous machine reliably, the rotor position
angle of the synchronous machine should be known as accurately as possible. The
position angle is previously typically defined using an apparatus intended to determine
the position angle, such as a resolver or a pulse sensor. However, a position angle
sensor is a mechanical component that wears when used and that should be mounted
and wired appropriately. As regards the use, the position angle sensor is a critical
object, since the motor operation becomes unusable if the resolver or pulse sensor
belonging thereto is broken or damaged.
Document WO-A1-9365137 discloses a method, in which the measured rotor
position angle is corrected. This correction is done by calculating a correction
term and adding it to the measured angle.
The rotor position angle of the synchronous motor can also be determined
without a position angle sensor. The determination can be based on a motor model
composed of the differential equations of the synchronous machine. Such a motor
model obtains as starting information the measurement data concerning the stator
currents fed into the motor stator and the rotor magnetization current. In addition,
the model requires motor parameters in order to function, such as values of motor
resistances and inductances. The motor model is also frequently used for controlling
the machine. If the rotor position angle obtained from the motor model is not the
correct one, errors are also caused to the flux estimates calculated from the flux
equations and used for controlling and adjusting the machine. Owing to the erroneously
calculated flux values, the machine cannot be optimally controlled.
When no sensors are used, the errors the motor model causes become
a problem. Due to the errors the operation of the motor model does not correspond
with the situation in an actual motor. The motor model fluxes in particular do not
correspond with the actual motor fluxes owing to the saturation of the actual inductances
and the other possibly inaccurate parameter values used in the model. This causes
the midpoint of the vector quantities to shift from the actual midpoint thereof
and also an erroneous rotor position angle of the model in relation to the actual
rotor position angle.
BRIEF DESCRIPTION OF THE INVENTION
It is an object of the invention to provide a method that avoids the
problems mentioned above and enables to control the synchronous machine more reliably
than before using the same measurements of the electric quantities as previously.
This object is achieved with the method of the invention, characterized in that
the method also comprises the steps of generating estimates for stator flux vector
components in the synchronous machine of the determined phase currents of the stator
in the synchronous machine and the estimated rotor angle using a current model of
the synchronous machine, generating estimates for the stator flux vector components
in the synchronous machine of the determined phase voltages, comparing the generated
stator flux vector estimates in order to achieve a quantity proportional to the
phase difference of the estimates, and adjusting the estimate of the rotor position
angle on the basis of the quantity proportional to the phase difference.
The invention is based on the idea that determining the stator fluxes
of the synchronous machine using different starting information allow comparing
said fluxes and thus to obtain a phase-locked system, which is able to find the
rotor position angle of the synchronous machine and provides the control with the
correct value of the terminal angle.
An advantage with the method of the invention is to achieve the reliability
of the quantities describing the electric state of the synchronous machine, whereby
the adjustment and control of the machine can reliably be based on the flux values.
In addition, the method allows controlling the synchronous machine reliably without
a mechanical sensor of the rotational speed.
BRIEF DESCRIPTION OF THE DRAWINGS
In the following, the method will be described in greater detail by
means of the preferred embodiments with reference to the accompanying drawings,
in which
Figure 1 is a block diagram showing a method of the invention.
DETAILED DESCRIPTION OF THE INVENTION
Figure 1 is a block diagram showing a method of the invention. A synchronous
machine is controlled using a control device, such as a cycloconverter or a frequency
converter, including power switches. The power switches in the control device provide
voltage or current in accordance with the control method to the terminals of the
machine stator in order to appropriately control the machine. In accordance with
the invention the quantities of the stator currents are measured. Typically synchronous
machines comprise a three-phase winding without a neutral conductor, whereby measuring
the current of two phases is enough to determine the currents of all three phases.
Furthermore, the voltages fed into the machine stator are determined.
The determination of the voltages can be implemented in connection with the control
device or by measuring the voltage directly from the terminals of the synchronous
machine stator. The measurement data concerning the currents and the voltages is
typically required irrespective of how the synchronous machine is controlled or
adjusted.
The determined stator voltages uu, uv, uw
are converted (1) into component form, whereby the three-phase stator voltage can
be presented as a combination of two components uα, uβ.
Converting an electric quantity such as a voltage into component form signifies
in practice that a space vector is formed of the quantity and that rectangular components
of the space vector are separated from one another. In other words, for instance
the two-axis model components bα and bβ of the
space vector quantity b can be determined so that component α
is the real part of vector b and component β is correspondingly
the imaginary part of vector b. Similarly the space vector can be
constructed from the two-axis model component b = bα
+ jbβ.
To convert the phase voltages from phase quantities into the two-axis
model components α and β can be carried out using the formula shown in
matrix form
The formula (1) also perceives the possible zero component u0 of the
voltage, which is nevertheless not required in the method.
The measurement data concerning the stator currents is fed as shown
in Figure 1 to a current model 2 formed of the synchronous machine. The current
model provides as outputs thereof stator currents iα and iβ
converted into two-component form. Converting the stator currents into two-component
form occurs in a similar way as described above in connection with stator voltages.
The voltage and current components α and β shown above are presented
in stator co-ordinates.
Since a stator resistance Rs is known from the parameters
of the synchronous machine, the effect of the resistive losses can be reduced from
the determined stator voltages. The size of the resistive losses can simply be calculated
by multiplying the stator current quantities by the stator resistance Rs.
These multiplications are carried out in multiplication blocks 3 and 4 in Figure
1.
Since the stator currents are converted into the same co-ordinates
as the stator voltages, the resistive losses caused by the currents can be reduced
from the stator voltages. Such a reduction occurs in the embodiment shown in Figure
1 in subtraction blocks 5 and 6. As a result of the subtraction the value of the
voltage is obtained that provides stator flux to the stator.
The stator flux components provided by the voltage are calculated
in accordance with the invention by integrating 7, 8 previously calculated voltages.
As is known in the art, the integral expression of the voltage forms a flux, whereby
the output of blocks 7 and 8 implements the expression
In block 7 in Figure 1 the stator flux α component ψα
and correspondingly in block 8 the stator flux β component ψβ
are calculated. As mentioned above, a space vector can easily be formed of said
quantity from the quantities in component form.
The size of the stator flux calculated as shown above is correct,
but as is known in the art it becomes inaccurate for instance because the midpoint
of the flux shifts or owing to an error occurring on the integral for computational
reasons. Since the flux is used as is known in the art for controlling the machine,
the flux value should be corrected to be as accurate as possible in order to ensure
a reliable control. In order to correct the midpoint of the flux, the restriction
of the amplitude of the voltage integral or another method can for instance be employed
with cycloconverters.
As mentioned previously, a current model 2 on the synchronous machine
is prepared. The current model allows determining the electric state of the synchronous
machine as accurately as possible using the determined current values as starting
information. The model prepared on the synchronous machine includes parameter values
of the inductances and resistances of the machine. The model is drawn up to describe
the state of the synchronous machine in static and dynamic states. Several inductance
values of the synchronous machine strongly depend on the rotor angle λ in
relation to the stator, whereby the current model prepared on the machine requires
the information about the rotor's position angle.
The measurement data concerning the stator currents are conveyed into
the current model in accordance with the invention and the estimates of the machine's
stator fluxes ψid and ψiq are obtained as the current
model outputs. Figure 1 shows how the flux values to be obtained from the current
model are presented in synchronous dq co-ordinates, i.e. a co-ordinate system that
rotates attached to the rotor of the synchronous machine. In such a case the flux
estimates are equal quantities, and are therefore simple to use for instance for
controlling the machine.
As shown in Figure 1, the flux estimates ψid and ψiq
shown in the dq co-ordinates are converted into the stator co-ordinates using a
conversion block 9. In order to convert the co-ordinates, information or an estimate
concerning the angle between the co-ordinates is required, or in this case the rotor
position λ in relation to the stator. Even though the conversion block 9
of the co-ordinates is shown as a block separated from the current model 2, the
conversion can be carried out as included in the current model, since the current
model obtains the same value or estimate from the position angle between the stator
and the rotor. The stator flux estimates ψiα, ψiβ
drawn up from the current model are obtained as outputs of the co-ordinates of the
conversion block 9.
After the conversion 9 of the co-ordinates is carried out, the stator
flux ψα, ψβ calculated on the basis of
the voltage integral and the stator flux ψiα, ψiβ
obtained on the basis of the current model are in the same co-ordinates, wherefore
these fluxes should correspond to one another. Fluxes determined in accordance with
the invention and particularly the phases thereof are compared with one another.
Calculating the cross product between the fluxes preferably compares the phases.
The stator fluxes shown in vector form are the following: ψs
= ψα + jψβ and ψsi
= ψiα + jψiβ, whereby the expression of
the cross product is simply ψs x ψsi
= ψαψiβ - ψβψiα,
The cross product between two vectors describes the angle difference between the
vectors, or in this case the phase difference of stator flux vectors calculated
in different ways. If the result of the cross product operation is zero, the vectors
are precisely parallel, which is the desired result.
The result of the cross product between the stator fluxes is fed in
accordance with the invention into the input of a controller 11. The controller
11 is typically a normal PID controller, whose parameter values can be determined
appropriately.
The output of the controller 11 is integrated using an integrator
12, whereby the integrator output λ is used as an estimate for the rotor
position angle. The estimate concerned is fed into the current model 2 and the conversion
element 9 of the co-ordinates as shown in Figure 1 in accordance with the invention.
The output of the controller 11 affects the output of the cross product element
10 through the current model 2 and the conversion element 9, and tends to zero said
output, in which case the stator fluxes calculated on the basis of the current model
and the voltage integral are co-phasal.
Since the position angle is the integral of the angular speed, an
estimate is obtained from the output of the controller 11 for the rotor's angular
speed Δλ. The angular speed can be utilized for instance for control
purposes in other connections.
A system like the one described implements the phase-locked system
using the provided cross product, the controller and the angle estimate λ
to be used for feedback. The size of the flux obtained using the voltage integral
is precisely accurate, but the exact direction of the rotor axis is not known until
the rotor angle is estimated in the method of the invention and the synchronous
machine can be controlled reliably for example on the basis of the fluxes.
It should be noted that the above description describes the implementation
and operation of the method on the basis of quantities in component form for the
sake of simplicity. However, it is apparent that the component form is one way to
present the vector quantity and therefore the invention is fully realizable even
by means of directly vector formed quantities.
It is obvious for those skilled in the art that as technology advances
the basic idea of the invention can be implemented in various ways. The invention
and the embodiments thereof are therefore not restricted to the above examples but
can be modified within the scope of the claims.
Anspruch[de]
Verfahren für eine sensorlose Positionswinkelsteuerung und eine sensorlose Drehzahlsteuerung
einer Synchronmaschine, wobei das Verfahren die Schritte umfasst:
das Bestimmen der Phasenströme (iu, iv, iw)
eines Stators in der Synchronmaschine,
das Bestimmen der Phasenspannungen (uu, uv, uw)
eines Stators in der Synchronmaschine,
das Schätzen eines Positionswinkels (λ) eines Rotors in der Synchronmaschine,
dadurch gekennzeichnet, dass das Verfahren außerdem die Schritte umfasst:
das Generieren von Schätzungen für Statorflussvektorkomponenten (ψiα,
ψiβ) in der Synchronmaschine aus den bestimmten Phasenströmen
(iu, iv, iw) des Stators in der Synchronmaschine
und dem geschätzten Rotorwinkel (λ) unter Verwendung eines Strommodels (2)
der Synchronmaschine,
das Generieren von Schätzungen für die Statorflussvektorkomponenten (ψα,
ψβ) in der Synchronmaschine aus den bestimmten Phasenspannungen
(uu, uv, uw),
das Vergleichen der generierten Statorflussvektorschätzungen (ψiα,
ψiβ; ψα, ψβ), um eine
Größe zu erhalten, die proportional zur Phasendifferenz der Schätzungen ist,
und
das Anpassen der Schätzung (λ) des Rotorpositionswinkels auf der Basis
der zur Phasendifferenz proportionalen Größe.
Verfahren nach Anspruch 1,
dadurch gekennzeichnet, dass der Vergleich der generierten Statorflussvektorschätzungen
(ψiα, ψiβ; ψα, ψβ)
einen Schritt umfasst, in dem ein Vektorprodukt der Schätzungen gebildet wird, um
eine Größe zu erhalten, die proportional zur Phasendifferenz der Schätzungen
ist.
Verfahren nach Anspruch 1 oder 2,
dadurch gekennzeichnet, dass die Generierung der Statorflussvektorkomponentenschätzungen
(ψα, ψβ) einen Schritt umfasst, in dem
die Schätzungen (ψα, ψβ) unter Verwendung
von Integration aus den bestimmten Phasenspannungen (uu, uv,
uw) generiert werden.
Verfahren nach einem der Ansprüche 1, 2 oder 3,
dadurch gekennzeichnet, dass die Generierung der Statorflussvektorkomponentenschätzungen
(ψα, ψβ) der bestimmten Phasenspannungen
(uu, uv, uw) einen Schritt umfasst, in dem die
ohmschen Verluste des Stators vor dem Generieren der Schätzungen aus den bestimmten
Phasenspannungen verringert werden.
Verfahren nach einem der vorhergehenden Ansprüche 1 bis 4,
dadurch gekennzeichnet, dass das Verfahren ferner die Schritte umfasst:
Leiten einer zur Phasendifferenz der Statorflussvektorschätzungen proportionalen
Größe zur PID-Steuereinheit, um eine Schätzung (Δλ) der Positionswinkeländerung
zu erhalten, und
Integrieren der Positionswinkeländerungsschätzung (Δλ), um eine
Schätzung (λ) des Rotorpositionswinkels zu erhalten.
Anspruch[en]
A method for a position angle sensorless and a rotational speed sensorless control
of a synchronous machine, the method comprising the steps of
determining phase currents (iu, iv, iw)
of a stator in the synchronous machine,
determining phase voltages (uu, uv, uw)
of a stator in the synchronous machine, and
estimating a position angle (λ) of a rotor in the synchronous
machine,characterized in that the method also comprises the steps of
generating estimates for stator flux vector components (ψiα,
ψiβ) in the synchronous machine from the determined phase currents
(iu, iv, iw) of the stator in the synchronous machine
and the estimated rotor angle (λ) using a current model (2) of the synchronous
machine,
generating estimates for the stator flux vector components (ψα,
ψβ) in the synchronous machine from the determined phase voltages
(uu, uv, uw),
comparing the generated stator flux vector estimates (ψiα,
ψiβ; ψα, ψβ) in order
to achieve a quantity proportional to the phase difference of the estimates, and
adjusting the estimate (λ) of the rotor position angle
on the basis of the quantity proportional to the phase difference.
A method as claimed in claim 1, characterized in that the comparison
of the generated stator flux vector estimates (ψiα, ψiβ;
ψα, ψβ) comprises a step, in which a cross
product between said estimates is formed in order to achieve a quantity proportional
to the phase difference of the estimates.
A method as claimed in claim 1 or 2, characterized in that the generation
of the stator flux vector component estimates (ψα, ψβ)
comprises a step, in which the estimates (ψα, ψβ)
are generated of the determined phase voltages (uu, uv, uw)
using integration.
A method as claimed in claim 1, 2 or 3, characterized in that the generation
of the stator flux vector component estimates (ψα, ψβ)
of the determined phase voltages (uu, uv, uw) comprises
a step, in which the resistive losses of the stator are reduced from the determined
phase voltages before generating the estimates.
A method as claimed in any one of preceding claims 1 to 4,characterized in
that the method further comprises the steps of
conducting a proportional quantity to the phase difference of
the stator flux vector estimates to the PID controller in order to obtain an estimate
(Δλ) of the position angle change, and
integrating the position angle change estimate (Δλ)
in order to obtain an estimate (λ) of the rotor position angle.
Anspruch[fr]
Procédé de régulation de l'angle de position et de la vitesse de rotation d'une
machine synchrone, sans capteurs, le procédé comprenant les étapes consistant à
:
déterminer des courants de phase (iu, iv, iw)
d'un stator dans la machine synchrone ;
déterminer des tensions de phase (uu, uv, uw)
d'un stator dans la machine synchrone ; et
estimer un angle de position (λ) d'un rotor dans la machine synchrone,caractérisé
en ce que procédé comprend également les étapes consistant à :
générer des estimations pour des composantes de vecteur de flux (Ψiα,
Ψiβ) du stator dans la machine synchrone à partir des courants de phase
(iu, iv, iw) déterminés du stator dans la machine
synchrone et de l'angle du rotor estimé (λ) en utilisant un modèle de courant
(2) de la machine synchrone ;
générer des estimations pour les composantes de vecteur de flux (Ψα,
Ψβ) du stator dans la machine synchrone à partir des tensions de phase
(uu, uv, uw) déterminées ;
comparer les estimations de vecteur de flux de stator produites (Ψiα,
Ψiβ ; Ψα, Ψβ) afin d'atteindre une quantité proportionnelle
à la différence de phase de l'estimation ; et
ajuster l'estimation (λ) de l'angle de position du rotor sur la base
de la quantité proportionnelle à la différence de phase.
Procédé selon la revendication 1, caractérisé en ce que la comparaison
des estimations de vecteur de flux de stator produites (Ψiα, Ψiβ
; Ψα, Ψβ) comprend une étape, dans laquelle un produit vectoriel
entre lesdites estimations est crée afin d'atteindre une quantité proportionnelle
à la différence de phase des estimations.
Procédé selon la revendication 1 ou 2, caractérisé en ce que la génération
des estimations pour les composantes de vecteur de flux (Ψα, Ψβ)
du stator comprend une étape, dans laquelle les estimations (Ψα, Ψβ)
sont produites sur la base des tensions de phase déterminées (uu, uv,
uw) en utilisant l'intégration.
Procédé selon la revendication 1, 2 ou 3, caractérisé en ce que la génération
des estimations pour les composantes de vecteur de flux (Ψα, Ψβ)
du stator sur la base des tensions de phase déterminées (uu, uv,
uw) comprend une étape, dans laquelle les pertes de résistance du stator
sont réduites par rapport aux tensions de phase déterminées avant la génération
des estimations.
Procédé selon l'une quelconque des revendications précédentes 1 à 4,caractérisé
en ce que le procédé comprend en outre les étapes consistant à :
diriger une quantité proportionnelle à la différence de phase des estimations
pour les composantes de vecteur de flux du stator vers le dispositif de commande
PID afin d'obtenir une estimation (Δλ) du changement de l'angle de
position ; et
intégrer l'estimation du changement de l'angle de position (Δλ)
afin d'obtenir une estimation (λ) de l'angle de position du rotor.