METHOD, PROGRAM PRODUCT AND COMPUTER FOR ESTIMATING THE STATIC FLOW RATE OF A PIEZOELECTRIC INJECTOR

Abstract

Disclosed is a method for determining a static flow rate of a piezo-electric injector of an injection system. The piezo-electric injector includes a needle and a piezo-electric actuator designed to control a valve of the injector. The injection system includes an electric generator designed to send electric current pulses to the piezo-electric actuator of the injector, and a voltage sensor designed to measure voltage values at the terminals of the piezo-electric actuator. The method includes the following steps: sending during a phase of closure of the needle of an electric current pulse such that the piezo-electric actuator is positioned in contact with the valve, without giving rise to the opening thereof; measurement of a plurality of voltage values of the piezo-electric actuator; and determining a static flow rate of the piezo-electric injector on the basis of a plurality of voltage values measured of the piezo-electric actuator.

Claims

1. A method for determining a static flow rate of a piezo-electric injector of a combustion engine injection system, the piezo-electric injector comprising a needle and a piezo-electric actuator which is designed to control a valve of the injector, the injection system comprising an electric generator which is designed to send electric current pulses to the piezo-electric actuator of the injector, and a voltage sensor which is designed to measure voltage values at the terminals of the piezo-electric actuator, said method comprising: sending by the electric generator of an electric current pulse to the piezo-electric actuator, such that the piezo-electric actuator is positioned in contact with the valve, without giving rise to the opening thereof, the sending being carried out during a phase of closure of the needle; measurement by the voltage sensor of a plurality of voltage values of the piezo-electric actuator; and determining a static flow rate of the piezo-electric injector on the basis of a plurality of voltage values measured of the piezo-electric actuator.

2. The method as claimed in claim 1, wherein the step of determining the static flow rate comprises a first sub-step of calculation of a voltage variation between an instant where the piezo-electric actuator is in contact with the valve after the electric current pulse has been sent, and an instant after an instant of closure of the needle.

3. The method as claimed in claim 2, wherein the step of determining the static flow rate also comprises a second sub-step of calculation of a pressure variation in a control chamber of the injector on the basis of the voltage variation at the terminals of the electric actuator.

4. The method as claimed in claim 2, wherein the step of determining the static flow rate also comprises a third sub-step of determining the static flow rate of the injector, starting from the voltage variation and a table of static flow rate reference values of a piezo-electric injector.

5. The method as claimed in claim 1, wherein the method is implemented only when: a determined duration between an instant of closure of the valve and an instant of closure of the needle is greater than a predetermined threshold; and the temperature of the engine is between a first predetermined temperature and a second predetermined temperature; and the engine speed is between a first predetermined speed of rotation and a second predetermined speed of rotation.

6. The method as claimed in claim 1, wherein, when an absolute value of a difference between the determined static flow rate of the injector and a nominal static flow rate of an injector is greater than a predetermined threshold, the method comprises a supplementary step of generation of an alert.

7. The method as claimed in any one of the preceding claim 1, wherein the injection system also comprises a fuel supply rail, and wherein a pressure of the fuel in the fuel supply rail is controlled according to the static flow rate of the injector.

8. A non-volatile computer-readable medium on which is stored a computer program that, when executed by a computer, causes the computer to implement the method of claim 1.

9. A computer which is designed to control a combustion engine injection system comprising a piezo-electric injector, the injector comprising a needle and a piezo-electric actuator designed to control a valve of the injector, the injection system also comprising an electric generator which is designed to send electric current pulses to the piezo-electric actuator of the injector, a voltage sensor which is designed to measure voltage values at the terminals of the piezo-electric actuator, and a fuel supply rail, wherein the computer is also designed to control implementation of the steps of the method as claimed in claim 1.

10. A combustion engine, comprising an injection system, the injection system having a piezo-electric injector, the injector comprising a needle and a piezo-electric actuator which is designed to control a valve of the injector, the injection system also comprising an electric generator which is designed to send electric current pulses to the piezo-electric actuator of the injector, a voltage sensor which is designed to measure voltage values at the terminals of the piezo-electric actuator, and a fuel supply rail, the engine comprising the computer of claim 9.

11. The method as claimed in claim 3, wherein the step of determining the static flow rate also comprises a third sub-step of determining the static flow rate of the injector, starting from the voltage variation and a table of static flow rate reference values of a piezo-electric injector.

12. The method as claimed in claim 2, wherein the method is implemented only when: a determined duration between an instant of closure of the valve and an instant of closure of the needle is greater than a predetermined threshold; and the temperature of the engine is between a first predetermined temperature and a second predetermined temperature; and the engine speed is between a first predetermined speed of rotation and a second predetermined speed of rotation.

13. The method as claimed in claim 3, wherein the method is implemented only when: a determined duration between an instant of closure of the valve and an instant of closure of the needle is greater than a predetermined threshold; and the temperature of the engine is between a first predetermined temperature and a second predetermined temperature; and the engine speed is between a first predetermined speed of rotation and a second predetermined speed of rotation.

14. The method as claimed in claim 4, wherein the method is implemented only when: a determined duration between an instant of closure of the valve and an instant of closure of the needle is greater than a predetermined threshold; and the temperature of the engine is between a first predetermined temperature and a second predetermined temperature; and the engine speed is between a first predetermined speed of rotation and a second predetermined speed of rotation.

15. The method as claimed in claim 2, wherein, when an absolute value of a difference between the determined static flow rate of the injector and a nominal static flow rate of an injector is greater than a predetermined threshold, the method comprises a supplementary step of generation of an alert.

16. The method as claimed in claim 3, wherein, when an absolute value of a difference between the determined static flow rate of the injector and a nominal static flow rate of an injector is greater than a predetermined threshold, the method comprises a supplementary step of generation of an alert.

17. The method as claimed in claim 4, wherein, when an absolute value of a difference between the determined static flow rate of the injector and a nominal static flow rate of an injector is greater than a predetermined threshold, the method comprises a supplementary step of generation of an alert.

18. The method as claimed in claim 5, wherein, when an absolute value of a difference between the determined static flow rate of the injector and a nominal static flow rate of an injector is greater than a predetermined threshold, the method comprises a supplementary step of generation of an alert.

19. The method as claimed in claim 2, wherein the injection system also comprises a fuel supply rail, and wherein a pressure of the fuel in the fuel supply rail is controlled according to the static flow rate of the injector.

20. The method as claimed in claim 3, wherein the injection system also comprises a fuel supply rail, and wherein a pressure of the fuel in the fuel supply rail is controlled according to the static flow rate of the injector.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0035] Other characteristics, details and advantages will become apparent from reading the following detailed description and from analyzing the appended drawings, in which:

[0036] FIG. 1

[0037] FIG. 1 represents three instantaneous flow rate curves of injectors during a cycle of opening and closure of their respective needle.

[0038] FIG. 2

[0039] FIG. 2 represents an embodiment of an injection system for implementation of a method for determining a static flow rate of a piezo-electric injector.

[0040] FIG. 3

[0041] FIG. 3 represents an embodiment of a method for determining the static flow rate of a piezo-electric injector.

[0042] FIG. 4a

[0043] FIG. 4a represents a piezo-electric injector during an injection phase.

[0044] FIG. 4b

[0045] FIG. 4b represents an enlarged view of a valve, of a piezo-electric actuator, and of a control chamber of the piezo-electric injector of FIG. 4a.

[0046] FIG. 5

[0047] FIG. 5 represents three diagrams relating to elements of the piezo-electric injector during a cycle of opening and closure of its needle.

[0048] The diagram at the top represents both a voltage at the terminals of the piezo-electric actuator and opening of the valve controlled by this actuator during the cycle.

[0049] The diagram in the middle represents a pressure in a control chamber of the injector during the cycle.

[0050] The diagram at the bottom represents a course of the needle during the cycle.

[0051] FIG. 6

[0052] FIG. 6 also represents three diagrams relating to elements of the piezo-electric injectors during a cycle of opening and closure of its needle, and incorporating the method presented in [FIG. 3].

[0053] The diagram at the top represents both a voltage at the terminals of the piezo-electric actuator and opening of the valve controlled by this actuator during the cycle.

[0054] The diagram in the middle represents a pressure in a control chamber of the injector during the cycle.

[0055] The diagram at the bottom represents opening of the needle during the cycle.

[0056] FIG. 7

[0057] FIG. 7 represents an embodiment of a step of determining the static flow rate on the basis of a plurality of voltage values measured at the terminals of the piezo-electric actuator.

DESCRIPTION OF THE EMBODIMENTS

[0058] Reference is now made to [FIG. 2] which presents an embodiment of an injection system 2 for a combustion engine, for example a motor vehicle engine. This injection system 2 permits implementation of a method for determining a static flow rate of a piezo-electric injector represented in [FIG. 3].

[0059] The injection system 2 comprises a fuel supply rail 4 which is connected to a fuel tank (not represented) by means of a supply line. In addition, the fuel tank is also connected to a plurality of piezo-electric injectors 5 by return lines. The fuel which is present in the supply rail 4 is supplied by a high-pressure pump 9 at a determined pressure in order to assist good combustion of the fuel during the different injection phases. As a result, it follows a set pressure determined by an engine computer (not represented) which controls the high-pressure pump 9. The engine computer can for example be a processor, a microprocessor or a micro-controller. It can also have a memory comprising encoding instructions in order to control the implementation of the steps of the method for determining a static flow rate of a piezo-electric injector represented in [FIG. 3]. The injection system 2 also comprises an electric generator 8.

[0060] A piezo-electric injector 5 of the injection system 2 is more specifically represented in FIGS. 4a and 4b. It comprises a high-pressure fuel input 501, a low pressure fuel output 502 going towards the return line of the injector 5 and thus towards the tank, and a nose comprising a plurality of orifices 503 for injection of fuel into a combustion chamber (not represented) of the engine. The injector also comprises a needle 53, which is movable in a chamber of the nose of the injector 530 in fluid communication with the high-pressure fuel input 501, the needle 53 being movable between a first position, in which it closes the fuel injection orifices 503, and a second position, in which it opens up these orifices (position represented in FIGS. 4a and 4b), thus permitting the injection of fuel into the combustion chamber. The needle 53 is retained in the closed position by a return spring 535.

[0061] The injector 5 also comprises a control chamber 54 (see FIG. 4b) positioned at the end of the needle 53 opposite the nose of the injector. The control chamber 54 is in fluid communication with the high-pressure fuel input 501 via a narrowing 540, and in fluid communication with the low-pressure fuel output 502 towards the tank via a second narrowing 541 and a valve 52 which is positioned between the output 502 and the second narrowing 541.

[0062] In this case, it is the difference between a pressure P.sub.cc in the control chamber 54, and a pressure P.sub.a in the chamber of the nose of the injector 530 which makes it possible to open or close the needle 53 of the injector. When the needle 53 and the valve 52 of the injector 5 are closed, the pressure P.sub.cc in the control chamber 54 is equal to the pressure of the fuel in the fuel supply rail 4. In this respect, the difference between the pressures P.sub.cc and P.sub.a is zero, and it is therefore the addition of the force derived from the difference in cross-section on which the pressures P.sub.cc and P.sub.a are exerted, the force exerted by the return spring 535, and the weight of the needle, which keep the needle 53 of the injector closed.

[0063] The injector also comprises a piezo-electric actuator 51, which, when it receives a first electric pulse from the electric generator 8 of the injection system 2, is charged and elongated by the piezo-electric effect, such as to be supported on the valve 52. As represented in FIGS. 4a and 4b, the support on the valve 52 at a sufficient force makes it possible to permit circulation of fluid from the high-pressure fuel circuit of the injector to the low-pressure output 502. This gives rise to a decrease in the pressure P.sub.cc in the control chamber 54, and thus to displacement of the needle 53 upwards under the effect of the high-pressure P.sub.a which remains in the chamber of the nose of the injector 530, such as to open the injection orifices 503. Thus, the fuel can move from the supply rail 4 towards the combustion chamber via the injection orifices 503, and thus trigger injection into said combustion chamber. The objective is thus to open the needle 53 by charging the piezo-electric actuator 51 of the piezo-electric injector.

[0064] In order to close the needle 53, and thus interrupt the injection phase, the electric generator 8 sends a second electric pulse to the piezo-electric actuator 51 of the injector 5, such as to discharge it. As it discharges, the piezo-electric actuator 51 retracts, and is thus no longer supported on the valve 52 with sufficient force for the valve to remain open. Thus, the valve 52 closes, the balance of the pressures P.sub.cc in the control chamber 54 and P.sub.a in the chamber of the nose of the injector 530 is inverted, and the needle 53 re-closes.

[0065] However, the closure of the needle is not immediate, and there is therefore a certain period of inertia of the needle 53, between an instant t.sub.2 of closure of the valve 52, and an instant t.sub.3 of closure of the needle 53.

[0066] A cycle of opening and closure of the needle 53 of a piezo-electric injector 5 is represented during an injection cycle which makes the different elements of the piezo-electric injector 5 intervene, and illustrating the instants previously defined in [FIG. 5].

[0067] The top diagram thus represents a voltage V at the terminals of the piezo-electric actuator 51 of the injector, and an opening Oy of the valve 52 of the injector 5 according to the time t. The middle diagram also represents the pressure P.sub.cc in the control chamber 54 according to the time t. Finally, the bottom diagram represents the opening O.sub.a of the needle 53 of the piezo-electric injector 5 according to the time. It will be appreciated that the temporal references are the same in the three diagrams.

[0068] When the valve 52 opens at an instant t.sub.0, a decrease in the pressure P.sub.cc in the control chamber 54 is observed, since the chamber is put into fluid communication with the low-pressure output 502 of the injector 5. This results in the start of opening of the needle 53 at an instant t.sub.1 when the resulting force of the pressure P.sub.a on a section of the base of the needle 53 becomes greater than the addition of the forces exerted at the top of the needle 53, i.e. the addition of the force resulting from the pressure P.sub.cc being exerted on a section of the top of the needle, the force exerted by the return spring 535 and the force exerted as a result of the weight of the needle 53.

[0069] On the other hand, when the valve closes at the instant t.sub.2, an increase is observed in the pressure P.sub.cc in the control chamber 54, since the chamber no longer communicates with the low-pressure output 502 of the injector 5. The pressure level in the control chamber 54 is established at an intermediate value between the pressure when the valve 52 was open, and the pressure in the fuel supply rail 4, since, at this stage, the needle 53 is still open. This results in the start of closure of the needle 53, since the resultant of the forces being exerted in a closure direction (force exerted by the return spring 535, pressure P.sub.cc being exerted on the section of the top of the needle 53 in the control chamber 54, and gravitation force on the needle 53) becomes greater than the force resulting from the pressure P.sub.a on the section of the base of the needle 53 in the chamber of the nose of the injector 530.

[0070] The objective in this case is to present the conventional operation of a piezo-electric injector, in order to be able to describe the method for determining a static flow rate of a piezo-electric injector.

[0071] With reference to [FIG. 3], below an embodiment of the method for determining a static flow rate of a piezo-electric injector is presented. Reference will also be made to [FIG. 6] during the description of the method.

[0072] The method comprises a first step 110 of sending by the electric generator 8 of an electric current pulse to the piezo-electric actuator 51, such that the piezo-electric actuator 51 is positioned in contact with the valve 52 without giving rise to opening thereof. This step is carried out when the needle 53 of the piezo-electric injector 5 re-closes during an injection phase More specifically, the step is carried out at an instant t.sub.i position in time between the instant t.sub.2 of closure of the file 52, and the instant t.sub.3 of closure of the needle 53 during the injection phase. In this case, this step is carried out when the needle 53 of the piezo-electric injector re-closes, and the objective is thus to position the piezo-electric actuator 51 in contact with the valve 52, without however re-opening it. Opening of the valve 52 could lead to raising of the needle 53 by a new inversion of the pressures P.sub.cc and P.sub.a in the chambers, which would modify the operation of the injector.

[0073] The objective in the continuation of the method is to use the piezo-electric actuator 51 as a pressure variation sensor in the control chamber 54.

[0074] The method thus comprises a second step 120 of measurement by the voltage sensor (not represented) of a plurality of voltage values of the piezo-electric actuator 51. The plurality of voltage values can be measured continuously throughout the phase of injection of the piezo-electric injector 5, the static flow rate of which is to be estimated. Advantageously, the measurements of the voltage values of the plurality of voltage values can be carried out between the instant t.sub.i during which the electric current pulse is sent by the generator 8, and an instant t.sub.end after the instant t.sub.3 of closure of the needle 53 which is sufficiently far off to permit establishment of a stabilized pressure P.sub.cc in the control chamber 54 of the injector 5.

[0075] The method then comprises a third stage 130 of determining a static flow rate of the piezo-electric injector 5, on the basis of the plurality of voltage values measured of the piezo-electric actuator 51.

[0076] As represented in [FIG. 6], when the needle 53 of the injector 5 re-closes at the instant t.sub.3, the pressure P.sub.cc in the control chamber 54 increases since the fuel circuit coming from the supply rail 4 and going via the piezo-electric injector 5 becomes sealed once more, and thus once more becomes subject to the fuel pressure of the supply rail 4 provided by the high-pressure pump 9. As a result, the force which is exerted on the closed valve 52 increases, and when the piezo-electric actuator 51 is in contact with the valve 52, the voltage V of the actuator 51 thus increases in response to this pressure increase P.sub.cc in the control chamber 54. These phenomena are identified by circles in [FIG. 6].

[0077] In addition, in FIG. 6, three different piezo-electric injector responses are represented. The curves corresponding to a nominal injector are represented in a thick continuous line on each of the diagrams. The curves corresponding to a corroded injector are represented by broken lines on each of the diagrams, when the operation of the corroded injector differs from the operation of the nominal injector. The curves corresponding to a dirty injector are represented by dotted lines on each of the diagrams, when the operation of the dirty injector differs from the operation of the nominal injector.

[0078] FIG. 6 shows that there is a direct correlation between a variation dV of the voltage V at the terminals of the piezo-electric actuator 51, and a variation dP.sub.cc of the pressure P.sub.cc in the control chamber 54, when the needle 53 of the injector closes. In addition, it is known that there is also a correlation between a pressure variation dP.sub.cc in the control chamber 54 caused by the closure of the needle 53, and the static flow rate of the injector 5, taking into account the fact that, between the instants t.sub.2 and t.sub.3, the fuel flows only by means of the injection orifices 503, and that, after the instant t.sub.3, the system is sealed once more.

[0079] In this case, the greater the pressure variation dP.sub.cc in the control chamber 54 when the needle 53 closes, the greater the static flow rate of the piezo-electric injector 5 is. In fact, when the static flow rate of the injector is great and the needle 53 is open, the pressure difference (or difference of load) between the pressure accumulating at the nose of the injector 5, and in particular at the orifices 503 of the injector 5, and the pressure of the fuel expelled into the combustion chamber through said orifices, is low. This means that, before being expelled into the combustion chamber, the fuel does not accumulate significantly at the orifices 503, but exits from the nose of the injector 5 easily. This means in reality that the section of passage of fuel of the orifices 503 is large, so that the fuel does not accumulate at said orifices without being able to be expelled. In particular, this is the case of a corroded injector, the section of passage of which at the orifices 503 is larger than that of a nominal injector because of the corrosion.

[0080] As a result, as represented in [FIG. 6], when the needle 53 of the corroded injector opens at the instant t.sub.1, the decrease of pressure P.sub.cc in the control chamber 54 is greater than that of the nominal injector, since it is correlated with the decrease in pressure at the nose of the injector, as a result of the fluid communication which exists between the control chamber 54 and the nose of the injector. However, after the needle 53 opens, the accumulation of the fuel at the nose of the corroded injector is less great than the accumulation of fuel at the nose of the nominal injector, since the section of passage of the orifices of the corroded injector is larger than the section of passage of the orifices of a nominal injector. This means that the pressure at the nose of the corroded injector is less great than the pressure at the nose of the nominal injector after the needle has opened, since the fuel passes more easily from the nose to the combustion chamber. The decrease in pressure generated by the opening of the needle is thus greater in the nose of the corroded injector than in the nose of the nominal injector. It is thus understood that, when the needle 53 closes at the instant t.sub.3, the pressure variation dP.sub.cc in the control chamber 54, when the chamber returns to the fuel pressure level of the supply rail 4, is greater for the corroded injector than for the nominal injector.

[0081] As far as the dirty injector is concerned, the inverse reasoning applies. Thus, the section of passage of the orifices 503 of the dirty injector is less great than that of a nominal injector because of the dirt.

[0082] As a result, as represented in [FIG. 6], when the needle 53 of the dirty injector opens at the instant t.sub.1, the decrease in pressure P.sub.cc in the control chamber 54 is lower than that of the nominal injector, since it is correlated with the decrease in pressure at the nose of the injector, because of the fluid communication which exists between the control chamber 54 and the nose of the injector. However, the pressure at the nose of the dirty injector decreases less than the pressure at the nose of the nominal injector when the needle 53 opens. In fact, since the section of passage of the orifices of the dirty injector is smaller than the section of passage of the orifices of a nominal injector, the accumulation of fuel at the nose of the corroded injector is greater than the accumulation of fuel at the nose of the nominal injector. This therefore means that the pressure at the nose of the dirty injector is greater than the pressure at the nose of the nominal injector. The decrease in pressure generated by the opening of the needle is thus less great in the nose of the dirty injector than in the nose of the nominal injector. It is thus understood that, when the needle 53 closes at the instant t.sub.3, the pressure variation dP.sub.cc in the control chamber 54, when the chamber returns to the fuel pressure level of the supply rail 4, is less great for the dirty injector than for the nominal injector.

[0083] Thus, when the plurality of voltage values has been measured at the terminals of the piezo-electric actuator 51 of the injector, with the voltage variation dV being representative of the pressure variation dP.sub.cc of the control chamber 54, it is possible to determine the static flow rate of the piezo-electric injector 5.

[0084] With reference now to [FIG. 7], an embodiment of the step 130 of determination of the static flow rate of a piezo-electric injector 5 is now described.

[0085] The step 130 of determination can thus comprise a first sub-step 131 of calculation of a voltage variation dV between an instant t.sub.c where the piezo-electric actuator 51 is in contact with the valve 52 after sending 110 of the electric current pulse, and the instant t.sub.end after the instant t.sub.3 of closure of the needle 53. This step is implemented on the basis of the plurality of voltage values measured at the terminals of the piezo-electric actuator 51 of the piezo-electric injector 5. As previously explained, this voltage variation dV is representative of the pressure variation dP.sub.cc in the control chamber 54, by means of which it is possible to determine the static flow rate of the piezo-electric injector 5.

[0086] Optionally, in this embodiment, a second sub-step 132 of calculation of a pressure variation dP.sub.cc in the control chamber 54 of the injector 5 can be implemented. The calculation is carried out on the basis of the voltage variation dV determined when the first sub-step 131 is completed. In fact, the voltage variation dV of the piezo-electric actuator 51 corresponds to a force applied on said actuator as a result of the piezo-electric effect. Thus, when the surface area of the piezo-electric actuator 51 is known, as well as the force exerted on it by the support of the valve 52 as a result of the pressure in the control chamber 54, it is possible to calculate the pressure variation dP.sub.cc in the control chamber 54 of the piezo-electric injector 5. This therefore gives the pressure variation dP.sub.cc in the control chamber 54 after closure of the needle 53.

[0087] Finally, a third sub-step 133 of determining the static flow rate of the injector 5 is implemented on the basis of the voltage variation dV and a table of static flow rate reference values of an injector.

[0088] Thus, in the embodiment where the second sub-step 132 is not implemented, the reference table makes the voltage variation dV correspond directly with a static flow rate of a piezo-electric injector.

[0089] In the embodiment where the second sub-step 132 is implemented, the reference table makes the pressure variation dP.sub.cc in the control chamber 54 of the piezo-electric injector 5 correspond with a static flow rate of a piezo-electric injector.

[0090] Whether it is directly by the voltage variation dV of the electric actuator 51, or by the use of this voltage variation dV in order to deduce the pressure variation dP.sub.cc in the control chamber 54, it is thus possible to obtain the static flow rate of the piezo-electric injector 5.

[0091] Going back to the method presented in [FIG. 3], upon completion of the step 130 of determining the static flow rate of the injector 5, the method can comprise a supplementary step 140 of generation of an alert when an absolute value of a difference between the determined static flow rate of the injector 5 and a nominal static flow rate of an injector is greater than a predetermined threshold.

[0092] In addition, the method can also comprise control of the fuel pressure in the fuel supply rail 4 according to the static flow rate determined upon completion of the step 130 of determination, in order to regulate the quantity of fuel injected into the combustion chamber.

[0093] Advantageously, the method is implemented only when the following three conditions are fulfilled: [0094] when a determined duration between the instant t.sub.2 of closure of the valve 52 and the instant t.sub.3 of closure of the needle is greater than a predetermined threshold; and [0095] when the temperature of the engine is between a first predetermined temperature and a second predetermined temperature; and [0096] when the engine speed is between a first predetermined speed of rotation and a second predetermined speed of rotation.

[0097] The last two conditions make it possible to ensure that the injection system 2 is functioning sufficiently stably to be able to implement the method with good precision and good repeatability.

[0098] The method presented above thus makes it possible to estimate a static flow rate of a piezo-electric injector in a combustion engine. This estimation is based on voltage values at the terminals of the piezo-electric actuator of the injector positioned in contact with the valve. It can therefore be implemented without modifying the existing injection system and in particular without making it more complex. Since the method is not based on determining a predetermined instant of closure of the needle, it is free from effects which modify the temporality of closure of the needle which are not caused by the static flow rate, and in particular the effects associated with the multiple injection or with the control of the opening of the valve of the piezo-electric injector. Finally, when the static flow rate of the piezo-electric injector is determined, it is possible to trigger an alert or to control the quantity of fuel injected into the combustion chamber of the engine by controlling the pressure of said fuel in the supply rail.