The invention relates to a method and device for measuring a thrust margin of a turbomachine.
A field of application of the invention is aircraft turbomachines, such as for example aircraft turbojets or aircraft turboprops.
The main characteristic of a turbomachine is its thrust.
It is therefore fundamental to measure its thrust precisely.
In the prior art, calibrating bench accessories is done in very distant periods and is usually declared done with precision of +/−0.25% in terms of thrust margin.
The document FR-A-1 416 112 describes a device for calibrating a thrust measuring bench of a rocket engine.
The document FR-A-2 535 847 describes a test cell for aircraft engines, providing aerodynamic correction of the measured thrust.
The document US-A-201610 202 131 describes the mechanical structure of a thrustmeasuring sensor.
The inventors noticed that reception tests for verification of the functions of the turbomachine are conducted on different test benches, which impacts thrust measurements. A certification process imposes calculation of a thrust margin from the measured thrust.
It was determined that there was dispersion of the thrust margin due to test conditions. Dispersion of the thrust margin results from the complexity of the test conditions such as: CTA (Complementary technical adaptations), benches and sites. Therefore, it has been noted that measuring the thrust margin is influenced particularly by some large components such as the secondary nacelle and the bench. Also, measuring the thrust margin can be influenced by the fact that the different parts of the turbomachine come from different providers.
The invention aims to provide a measuring method and device for taking thrust measurements from different test benches with different equipments and to ensure that these measurements are comparable.
For this purpose, a first subject matter of the invention is a method for measuring a thrust margin of a turbomachine, in which
data are acquired comprising the thrust margin which is determined as a function of a specified thrust and a measured thrust, the measured thrust being determined on a measuring bench, which comprises at least one bench equipment and which contains the turbomachine,
characterized in that
a time evolution of the thrust margin is modelled by at least one linear or affine function, which is calculated for at least one determined time interval of the thrust margin,
at least one bias of the bench equipment is calculated relative to the at least one linear or affine function having been calculated,
the thrust margin is corrected by subtracting from it the at least one bias of the bench equipment in the at least one determined time interval.
Thanks to the invention, the thrust margin is made independent of the test conditions and its dispersion is reduced. The invention allows better control of the production by reducing the uncertainty on the measurement of the thrust. Also, the invention identifies the production efficacy trends of each provider, which alerts the provider whenever the produced thrust of the turbomachine decreases and approaches the limit margin.
According to an embodiment of the invention, the linear or affine function is calculated in approaching a prescribed point or passing through a prescribed point, the prescribed point having been calculated as a function of the thrust margin on the determined time interval.
According to an embodiment of the invention, the prescribed point is calculated as being an average point of the thrust margin and in the middle of the determined time interval.
According to an embodiment of the invention, the midpoint of the thrust margin is calculated as being in the middle of the thrust margin and in the middle of the determined time interval.
According to an embodiment of the invention, the prescribed point has a determined time value in the at least one time interval and a thrust margin value,
the linear or affine function is calculated as minimizing, on the at least one time interval, the difference between the thrust margin and the linear or affine function, relative to the difference between the thrust margin value of the prescribed point and the value of the linear or affine function taken at the determined time value of the prescribed point.
According to an embodiment of the invention, the linear or affine function φj(ti) is calculated as minimizing, on the at least one time interval, the following expression:
where yi is the thrust margin,
τi(i) is a binary function indicative of each time interval (INTO,
tptMoy is the determined time value of the prescribed point in the at least one time interval,
ptMoy is the thrust margin value of the prescribed point in the at least one time interval.
According to an embodiment of the invention, the at least one bias is calculated as minimizing, on the at least one time interval, the thrust margin from which the bias and the linear or affine function are subtracted, which is calculated at the measuring instant or measuring day corresponding to the thrust margin.
According to an embodiment of the invention, the at least one bias bk is calculated as minimizing, on the at least one time interval, the following expression:
where yi is the thrust margin,
δk(i) is a binary function indicative of the at least one item of equipment k of the measuring bench,
φj(ti) is the linear or affine function.
According to an embodiment of the invention, the function γj(ti) indicative of the origin of data from the data source j or from the provider j of the at least one bench equipment k is considered, and the bias or the biases bk is calculated as minimizing, on the at least one time interval, the following expression:
where yi is the thrust margin,
δk(i) is a binary function indicative of the at least one bench equipment k,
φj(ti) is the linear or affine function,
γj(ti) is the function indicative of the origin of data from the data source j or from the provider j of the at least one bench equipment k.
According to an embodiment of the invention, the at least one time interval corresponds to at least one production time interval and/or to at least one time interval, during which the at least one bench equipment is present on the measuring bench, and/or to the intersection between the at least one production time interval and the at least one time interval, during which the at least one bench equipment is present on the measuring bench.
A second subject matter of the invention is a device for measuring a thrust margin of a turbomachine, the device comprising a measuring bench, which comprises at least one bench equipment and on which the turbomachine is intended to be mounted, the measuring bench comprising means to acquire data comprising the thrust margin of the turbomachine,
characterized in that the device also comprises an automatic calculation unit configured to
model a time evolution of the thrust margin by at least one linear or affine function, which is calculated for at least one determined time interval of the thrust margin,
calculate at least one bias of the bench equipment relative to the at least one linear or affine function having been calculated,
correct the thrust margin by subtracting from it the at least one bias of the bench equipment in the at least one determined time interval.
The invention will be better understood from the following description given solely by way of nonlimiting example in reference to the appended drawings, in which:
In
The measuring device performs the steps described hereinbelow of the measuring method according to the invention.
During a measuring step, the thrust margin of the turbomachine TUR is acquired on the measuring bench BM. The measuring bench BM comprises means to acquire data comprising the thrust margin y, y1 of the turbomachine TUR. For example, for this to occur, measuring data are acquired, comprising a measured thrust PST of the turbomachine TUR, by the acquisition means of the measuring bench BM. For each test, the thrust PST is measured in the conditions of the day ti of the test. According to an embodiment, the thrust PST of the turbomachine TUR, measured by the measuring bench BM, can have been further corrected to be put under standard conditions, for example according to a procedure CFM, and being called standard thrust PST.
Then the thrust margin y is calculated as a function of a specified thrust PSP and of the measured thrust PST or standard thrust PST. This calculation is performed by calculation means, such as for example the automatic calculation unit UC described hereinbelow. The specified thrust PSP is imposed for example according to a specification.
The thrust margin y (or receiving thrust margin y) is formulated to measure the difference of the measured thrust PST or standard thrust PST relative to the specified thrust PSP.
The thrust margin y (or yi hereinbelow) can be for example calculated as follows
The invention utilizes an average time model MOD of the thrust margin yi, this model MOD being linear or affine per time intervals INTl. Each time interval INTI can cover a duration of several days. The thrust margin yi is given in several measuring instants or measuring days, designated by ti.
By way of example,
By way of example,
By way of example,
A time evolution of the thrust margin y or yi is modelled by at least one linear or affine function ϕ or φj(ti), which is calculated for at least one determined time interval INTI of the thrust margin y or yi.
At least one bias bk of the bench equipment k is calculated relative to the at least one linear or affine function ϕ or φj(ti) having been calculated.
The thrust margin y or yi is corrected by subtracting from this thrust margin y or yi the at least one bias bk of the bench equipment k in the at least one determined time interval INTI.
For given production, a model MOD is applied according to which there is a linear or affine function ϕ, φj(ti) of the thrust margin yi depending on the time ti between the instants corresponding to an identified time interval INT) of a component k of the bench BM. There can be several components k of the bench BM, which can be or comprise for example the bench BM and the nacelle.
Each input or measurement is defined by a triplet (y, t, k), where y is the thrust margin, having been measured as described hereinabove, t is the test date, and k the component of the bench BM used between two maintenance events.
According to an embodiment of the invention, a binary function δk(i) is constructed for each component k of the bench BM, this function δk(i) being equal to 1 if the observation is made on the component k of the bench BM and being equal to 0 if not. This binary function δk(i) is therefore a binary function indicative of the component k of the bench BM.
According to an embodiment of the invention, the following model MOD is resolved
where yi is the measuring margin, having been calculated from the measuring bench BM,
the index i is the index of each datum observed of this measuring margin yi at an instant or day ti, the number of i being finite and designating each measuring bench BM,
ϕ, φj(ti) is a linear (or affine) function per time intervals INTI on the time ti, which represents the time evolution of the thrust margin yi,
bk is the bias introduced by the component k of the bench BM,
ε is the measuring error.
The function ϕ, φj(ti) is therefore constituted by rectilinear segments as a function of time ti.
According to an embodiment, the linear or affine function ϕ, φj(ti) per time intervals INTI on ti is continuous, and it can change in slope, when passing from one time interval INTI to the following time interval INTI.
There can be initial indetermination of thresholds of the thrust margin, which causes that the model MOD is positioned by an additive constant. According to an embodiment, an initial condition is taken on the average bias
where Nk is the number of measurements taken with the component k of the bench BM.
For example,
This resolves this initial indetermination of the thresholds of the thrust margin.
According to an embodiment, there can be different sets of linear or affine functions ϕ, φj(ti) per time intervals INTI on ti, hereinbelow called ϕj, for which the trends are specific but for which the biases bk must remain identical, such as for example in the case of different providers of components k for similar tests. The functions ϕj for each trend can be defined by keeping the bias bk and considering the indicative functions γj(ti) of sources j of data, for example indicating the provider j of components k. The indicative function γj(ti) is equal to one for the data source j or for the provider j of the component k and is equal to zero for the other sources j of data or for the other providers j of the component k. The linear or affine function ϕ per time intervals INTI on ti can be specific to a source of data j or provider j and can consider the indicative function γj(ti) indicating the origin of data from the data source j or from the provider j of the component k, for example according to the following equation:
The thrust margin yi is equal to:
This adds a new indetermination by the initial values of the functions ϕj.
According to an embodiment, the linear or affine function or functions ϕ, φj(ti) is calculated per time intervals INTI on ti.
According to an embodiment, a resolution technique comprises a first resolution step, during which the evolution (linear or affine function ϕ, φj(ti) per time intervals INTI on ti) of the thrust margin yi is described, independently of the absolute level resulting from one or more components k of the bench BM.
According to an embodiment, for example during this first resolution step, each measurement yi of the thrust margin is associated with one or more first time intervals INTI where the test conditions are constant, called constant time intervals INTI. There are for example L first time intervals INTI or L constant time intervals INTI, for I being a whole number varying from 1 to L, where L is a natural nonzero integer number.
According to an embodiment of the invention, the at least one first time interval INTI corresponds to at least one second production time interval IPR and/or to at least one use time interval ITC of the component k on the measuring bench BM.
According to an embodiment, a second production time interval IPR or second production time intervals IPR is defined. Over each of these second production time intervals IPR the evolution (linear or affine function ϕ, φj(ti) per time interval on ti) of the thrust margin is considered different. This is illustrated by way of example in
According to an embodiment, a third time interval ITC of the component k of the bench BM or third time intervals ITC of the component k of the bench BM is defined as the time interval or the time intervals where the component k is present on the bench BM and has been utilized for taking measurements yi. The example of
According to an embodiment, the first time interval INTI or constant time interval INTI is defined as being the intersection between a second time production interval IPR and a third time interval ITC of the component k.
According to an embodiment, the linear or affine function ϕ, φj(ti) is calculated in approaching a prescribed point pt or passing through a prescribed point pt. The prescribed point pt is calculated on the determined first time interval INTI or constant time interval INTI, as a function of the thrust margin y or yi present on the interval. The prescribed point pt has a determined time value tptMoy (according to the axis of times t in abscissa in
An example of several average points pt is illustrated in
According to an embodiment, the prescribed point pt is calculated as being an average point of the thrust margin y or yi, whereof the determined time value tptMoy is located substantially in the middle of the first time interval INTI or constant time interval INTI determined.
According to an embodiment, the average point of the thrust margin y or yi is calculated as being in the middle of the thrust margin y or yi and in the middle of the first time interval INTI or constant time interval INTI determined.
Hereinbelow a first calculation step of the linear or affine function ϕ, φj(ti) is described.
According to an embodiment, the value φj(tptmoy) of the linear or affine function ϕ, φj(ti) is calculated at the determined time value tptMoy of the prescribed point pt.
According to an embodiment, the linear or affine function ϕ, φj(ti) is calculated as minimizing, on the first time interval INTI or constant time interval INTI determined, the difference between the thrust margin y or yi and this linear or affine function ϕ, φj(ti), relatively to the difference between the thrust margin value ptmoy of the prescribed point pt and the value φj(tptmoy) of the linear or affine function ϕ, φj(ti) taken at the determined time value tptMoy of the prescribed point pt, that is, minimizing the difference (yi−ptMoy)−(φj(ti)−φj(tptMoy)) on the first time interval INTI or determined constant time interval INTI.
For this to occur, according to an embodiment the linear or affine function ϕ, φj(ti) is calculated on the first time interval INTI or determined constant time interval INTI as minimizing the following expression:
where τI(i) is a binary function for each first time interval INTI or determined constant time interval INTI, which is equal to one for the measurements of thrust margins yi taken during this interval INTI and 0 for the measurements of thrust margins yi taken outside this interval INTI. The binary function τI(i) is therefore a binary function indicative of the first time interval INTI or determined constant time interval INTi. This is how the time evolution (thrust margin measured yi−average pt) is characterized, which is independent of the measuring conditions.
According to an embodiment, the linear function ϕ, φj(ti) is calculated as minimizing the following expression on the first time interval INTI or constant time interval INTI determined:
According to an embodiment, the linear or affine function ϕ, φj(ti) is calculated as being equal to {circumflex over (φ)}f having the following expression:
where Argmin designates the minimum argument on the linear or affine functions φj.
There can be initial indetermination of thresholds, which causes that the model MOD is positioned by an additive constant.
When the linear or affine function ϕ, φj(ti) has been calculated during the first step, the bias or the biases bk is calculated during a second step, described hereinbelow.
According to an embodiment, the bias or the biases bk is calculated as minimizing, on the first time interval INTI or determined constant time interval INTI, the thrust margin yi from which are subtracted the bias bk and the linear or affine function ϕ, φj(ti) which is calculated at the measuring instant ti or measuring day ti corresponding to the thrust margin yi, that is, minimizing the difference
on the first time interval INTI or determined constant time interval INTI.
For this to occur, according to an embodiment the bias or the biases bk is calculated as minimizing the following expression on the first time interval INTI or determined constant time interval INTI:
According to an embodiment, the function γj(ti) indicative of the origin of data from the data source j or from the provider j of the component k is considered, and the bias or the biases bk is calculated as minimizing the following expression, on the first time interval INTI or determined constant time interval INTI:
According to an embodiment, the bias or the biases bk is calculated as being equal to {circumflex over (b)}k having the following expression:
where Argmin designates the minimum argument on the bias or the biases bk.
After the second step, the thrust margin yi is corrected to calculate the unbiased thrust margin yidebiased which is equal to the thrust margin yi from which the bias or the biases bk valid in the time interval or time intervals INTI or an average of biases bk in the time interval or time intervals INTI was subtracted.
According to an embodiment, the unbiased thrust margin yidebiased is calculated as being equal to
where
According to an embodiment, the corrected thrust margin, that is the unbiased thrust margin yidebiased is calculated, as being equal to
In
Described hereinbelow in reference to
According to an embodiment of the invention, the operator OP retrieves the measuring data corresponding to the most recent production periods. These data have been automatically archived in a database BDD.
According to an embodiment of the invention, a manmachine interface IHM (viewing screen or other) proposes an interface for viewing the thrust measurements for extracting the engines whereof the fans come from a given provider and which are measured by a specific bench BM. This interface IHM for example superposes such displays by using different colours per provider and by bench BM/nacelle, for example according to
According to an embodiment of the invention, the operator utilizes the interface IHM for identifying the time intervals INTI during which the bench equipments are constant and stores them in the database BDD. For this it uses for example logbooks for maintenance and viewing of curves of time evolution of thrust measurements. The instants delimiting the time intervals INTI are for example selected by mouse clicks and are stored automatically. Once the instants of maintenance of benches are stored, the interface IHM shows them on the curves.
According to an embodiment of the invention, for each provider k the operator OP defines initial instants of change in trend, that is, the passages P12 between production time intervals IPR1 and IPR2, for example by manual initialisation. For this it uses for example logbooks for maintenance and viewing of curves of time evolution of thrust measurements. The interface IHM for example views these initial instants of change in trend P12, for example by slightly different viewing (for example of vertical continuous lines instead of dotted lines for changes in configuration).
According to an embodiment of the invention, an automatic calculation unit UC, such as for example one or more calculators and/or one or more computers and/or one or more processors and/or one or more servers and/or one or more machines, which can be programmed in advance by a preregistered software, executes automatic modelling by the linear or affine model MOD per time intervals of the thrust margin yi for a sample ECH of a certain number n, the automatic correction of the thrust margin yi and the steps of the measuring method described hereinabove. This automatic calculation unit UC supplies the corrected thrust margin yidebiased.
According to an embodiment of the invention, this corrected thrust margin yidebiased is stored in the database BDD or in another memory, for example in association with the instants or days ti when the thrust measurement was taken. For example, the automatic calculation unit UC calculates the production trends of providers k and identifies the biases bk of the benches/nacelles as described hereinabove. The corrected thrust margin yidebiased and/or the calculated biases bk are for example stored in the database BDD or in another memory, for example in association with the instants or days ti when the thrust measurement was taken, and/or are for example displayed and/or communicated on the interface IHM and/or sent to the exterior on at least one output port. A transmission device can be provided for sending these biases bk to the operators OP of benches who can correct their measurements.
Iterations of the steps described hereinabove can be made by optimizing the position and number of instants of change in trend.
Calculation of the biases corresponds to optimisation of the likelihood of the linear or affine model MOD by pieces. It is therefore possible to automatically select the instants P12 of change in production trend by optimisation methods.
According to an embodiment of the invention, according to a first possible approach of choice of instants P12 of change in production trend, a local approach consists of locally modifying these initial instants of change in trend P12 by a gradient descent from a definition for each provider k of the initial instants of change in trend P12 such as described hereinabove. This does not change the number of points P12 of change in trend, but optimizes the model MOD of slopes.
According to an embodiment of the invention, according to a second possible approach of choice of instants P12 in change in production trend, an overall approach via stochastic optimisation is used. This method consists of randomly drawing a population of selection of instants P12 (a list of lists of instants P12) and calculating the quality of models produced. The best models of instants P12 are kept and a new population of instants P12 to be tested is generated automatically from the latter by local mutation (a few steps of gradient descent or random local variations of positions P12 with decreasing variance) and by combination of lists (intersection). After a few iterations, the surviving lists correspond to the best models. This gives a mechanism of “genetic” type for identifying the best instants P12 of change in trend as well as their number.
As shown in these
The invention ensures the independence of the processing of the evolution of the thrust margin and quantification of biases of bench components. Also, the invention determines the evolution of the thrust margin associated with fans made by different providers and quantifies the biases introduced by the bench components without interaction between these 2 processing events. The invention almost certainly attributes a thrust result diverging relative to the specification of the engine either to a deviation of the manufactured fans or to a particular feature of the test system. The invention controls calibration of the benches BM and their accessories k precisely and continuously based on operational measures. The invention also characterizes trends in quality of fans provided by different manufacturers. The invention makes thrust measurements more robust relative to evolutions of test conditions. The invention enables better control of production by reducing uncertainty on the thrust measurement.
Of course, the embodiments, features and examples hereinabove can be combined with each other or be selected independently of each other.
Number | Date | Country | Kind |
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17 58238 | Sep 2017 | FR | national |