CN106481446A - Method for being calculated to the pressure drop on the assembly stoping flowing - Google Patents
Method for being calculated to the pressure drop on the assembly stoping flowing Download PDFInfo
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- CN106481446A CN106481446A CN201610721263.0A CN201610721263A CN106481446A CN 106481446 A CN106481446 A CN 106481446A CN 201610721263 A CN201610721263 A CN 201610721263A CN 106481446 A CN106481446 A CN 106481446A
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
- F02D—CONTROLLING COMBUSTION ENGINES
- F02D41/00—Electrical control of supply of combustible mixture or its constituents
- F02D41/0002—Controlling intake air
- F02D41/0007—Controlling intake air for control of turbo-charged or super-charged engines
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
- F02B—INTERNAL-COMBUSTION PISTON ENGINES; COMBUSTION ENGINES IN GENERAL
- F02B37/00—Engines characterised by provision of pumps driven at least for part of the time by exhaust
- F02B37/12—Control of the pumps
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
- F02B—INTERNAL-COMBUSTION PISTON ENGINES; COMBUSTION ENGINES IN GENERAL
- F02B37/00—Engines characterised by provision of pumps driven at least for part of the time by exhaust
- F02B37/12—Control of the pumps
- F02B37/18—Control of the pumps by bypassing exhaust from the inlet to the outlet of turbine or to the atmosphere
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
- F02B—INTERNAL-COMBUSTION PISTON ENGINES; COMBUSTION ENGINES IN GENERAL
- F02B37/00—Engines characterised by provision of pumps driven at least for part of the time by exhaust
- F02B37/12—Control of the pumps
- F02B37/24—Control of the pumps by using pumps or turbines with adjustable guide vanes
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
- F02D—CONTROLLING COMBUSTION ENGINES
- F02D41/00—Electrical control of supply of combustible mixture or its constituents
- F02D41/02—Circuit arrangements for generating control signals
- F02D41/14—Introducing closed-loop corrections
- F02D41/1438—Introducing closed-loop corrections using means for determining characteristics of the combustion gases; Sensors therefor
- F02D41/1444—Introducing closed-loop corrections using means for determining characteristics of the combustion gases; Sensors therefor characterised by the characteristics of the combustion gases
- F02D41/1445—Introducing closed-loop corrections using means for determining characteristics of the combustion gases; Sensors therefor characterised by the characteristics of the combustion gases the characteristics being related to the exhaust flow
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
- F02D—CONTROLLING COMBUSTION ENGINES
- F02D41/00—Electrical control of supply of combustible mixture or its constituents
- F02D41/02—Circuit arrangements for generating control signals
- F02D41/14—Introducing closed-loop corrections
- F02D41/1438—Introducing closed-loop corrections using means for determining characteristics of the combustion gases; Sensors therefor
- F02D41/1444—Introducing closed-loop corrections using means for determining characteristics of the combustion gases; Sensors therefor characterised by the characteristics of the combustion gases
- F02D41/1446—Introducing closed-loop corrections using means for determining characteristics of the combustion gases; Sensors therefor characterised by the characteristics of the combustion gases the characteristics being exhaust temperatures
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
- F02D—CONTROLLING COMBUSTION ENGINES
- F02D41/00—Electrical control of supply of combustible mixture or its constituents
- F02D41/02—Circuit arrangements for generating control signals
- F02D41/14—Introducing closed-loop corrections
- F02D41/1438—Introducing closed-loop corrections using means for determining characteristics of the combustion gases; Sensors therefor
- F02D41/1444—Introducing closed-loop corrections using means for determining characteristics of the combustion gases; Sensors therefor characterised by the characteristics of the combustion gases
- F02D41/1448—Introducing closed-loop corrections using means for determining characteristics of the combustion gases; Sensors therefor characterised by the characteristics of the combustion gases the characteristics being an exhaust gas pressure
- F02D41/145—Introducing closed-loop corrections using means for determining characteristics of the combustion gases; Sensors therefor characterised by the characteristics of the combustion gases the characteristics being an exhaust gas pressure with determination means using an estimation
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
- F02D—CONTROLLING COMBUSTION ENGINES
- F02D41/00—Electrical control of supply of combustible mixture or its constituents
- F02D41/24—Electrical control of supply of combustible mixture or its constituents characterised by the use of digital means
- F02D41/2406—Electrical control of supply of combustible mixture or its constituents characterised by the use of digital means using essentially read only memories
- F02D41/2409—Addressing techniques specially adapted therefor
- F02D41/2416—Interpolation techniques
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
- F02D—CONTROLLING COMBUSTION ENGINES
- F02D41/00—Electrical control of supply of combustible mixture or its constituents
- F02D41/02—Circuit arrangements for generating control signals
- F02D41/14—Introducing closed-loop corrections
- F02D41/1401—Introducing closed-loop corrections characterised by the control or regulation method
- F02D2041/1433—Introducing closed-loop corrections characterised by the control or regulation method using a model or simulation of the system
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
- F02D—CONTROLLING COMBUSTION ENGINES
- F02D23/00—Controlling engines characterised by their being supercharged
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T10/00—Road transport of goods or passengers
- Y02T10/10—Internal combustion engine [ICE] based vehicles
- Y02T10/12—Improving ICE efficiencies
Abstract
The present invention relates to a kind of for the pressurizer especially being driven with waste gas turbine, stop flowing first assembly（4）And with this first assembly be arranged in parallel stop flowing the second assembly（5）Pressure drop above（）The method being determined, described turbine has the bypass line that variable turbine geometry and is provided with the cross section that can control, and methods described has steps of：There is provided for described first assembly（4）First flow function（）Critical first pressure fall（）With for described second assembly（5）Second flow function（）Critical second pressure fall（）；In standardized first and second flow functions（）And the first and second critical pressure drops（）On the basis of previously given pressure decreasing function；According to described pressure decreasing function by determining with method of approximation（S7‑S11）Described pressure drop（）.
Description
Technical field
The present invention relates generally to the calculating to the state parameter in the gas feeder system with the assembly stoping flowing, institute
State gas feeder system in particular for having the internal combustion engine of the pressurizer being driven with waste gas.Additionally, it is the present invention relates to right
The field of the manipulation carrying out in the superrcharger regulator of the pressurizer for internal combustion engine.
Background technology
In order to be adjusted to the boost pressure in the internal combustion engine of supercharging, especially in diesel engine, using with waste gas Lai
The pressurizer of driving, such as turbocharger.The efficiency of pressurizer or from exhaust enthalpy acquired mechanical output,
It is used to drive the share of compressor can be adjusted by means of superrcharger regulator.It is particularly useful for the effect to described pressurizer
Rate carries out variable pressurizer regulation, being driven with waste gas and can have the variable turbine geometric form that can control
Shape, the waste gate-valve that can control or combinations thereof.At present using different supercharging topology knots for motor vehicles
Structure, described supercharging topological structure is for example provided with the supercharging of single-stage, has the supercharging of two twin-stages of turbocharger connected
Or there is the supercharging of the twin-stage of two turbocharger in parallel（Classification supercharging）.
For pressurizer variable regulation for example can by have variable geometry turbine（VTG- adjusts
Section device, variable turbine geometry）To realize.Represent all types of turbines with VTG, its efficiency can be by running
In variable housing geometry changing.This for example can be carried out by variable guide vane.
It is currently mainly used multistage pressure charging system, for improving the dynamic ride characteristic of vehicle.For example, two superchargings
The series connection of device allows, using having the pressurizer of relatively low power and the pressurizer with higher power, wherein to be had
The pressurizer of relatively low power is accelerated and thus, it is possible to form horse quickly quickly due to relatively low the moment of inertia
Reach moment.For higher motor rotary speed, this pressurizer to be avoided by bypass due to higher mass flow,
Only to form described boost pressure with the pressurizer with higher power.Here, at present for VTG turbine
Always in described turbine, whirlpool no longer just can adjustably be opened by described VTG due to described higher mass flow when adjusting
Wheel bypass.
Current regulation strategy grasps all supercharging topological structure described above.A kind of scheme newly developed describes one
Plant the pressurizer of the single-stage with VTG turbine, described VTG turbine extraly has bypass line.Described bypass line is by institute
The pressurizer stating pressurizer with the past common single-stage makes a distinction.Bypath valve in this bypass line should be not
Run in the case of regulation.In other words, described bypass should only be opened in check situation, and for described supercharging
The regulation of device is then carried out by described VTG turbine in each moment.
For with exhaust-driven pressurizer and in the miscellaneous part of the gas feeder system in internal combustion engine,
Assembly working, stoping flowing can be arranged in parallel as choke valve in gas delivery mechanism.Because will often adjust
Save the state parameter of described gas feeder system, it is therefore necessary to understanding above arrangement entirely in parallel, from two resistances
The pressure drop producing in the assembly that fluid stopping is moved.
Content of the invention
According to the present invention, it is provided with as described in claim 1, for determining the supercharging dress especially being driven with waste gas
The method of the pressure drop above the assembly of prevention flowing that two of the turbine put are connected in parallel, wherein said turbine has can
The turbine geometry becoming and one carries the bypass line of the cross section that can control, and is provided with by claim institute arranged side by side
The device stated and regulating system.
Other designs are described in the dependent claims.
According in a first aspect, be provided with a kind of for the pressurizer especially being driven with waste gas turbine, resistance
First assembly and the pressure drop data stoping above the second assembly of flowing being arranged in parallel with this first assembly that fluid stopping is moved
The method being determined, described turbine has the bypass pipe that variable turbine geometry and carries the cross section that can control
Road, methods described has steps of：
- provide the critical first pressure of the first flow function for described first assembly to drop and for described second assembly
The critical second pressure fall of second flow function；
- previously given pressure drop on the basis of described first and second flow functions and the first and second critical pressure drops
Function；
- by described pressure drop being determined according to described pressure decreasing function with method of approximation.
Particularly with described turbine for having the turbo- pressurizer being driven with waste gas, there is variable turbine
Geometry and make the short circuit of described turbine bypass line novel for the regulation strategy that described turbine is manipulated
It is feasible.For such arrangement, it is not adjustably to run described bypass line, but can only control institute
State bypass line, and the regulation for described pressurizer is then entered by the regulation for turbine geometry in each moment
OK.For pressurizer that there is bypass line, being driven with waste gas, described use waste gas to adjust
It is necessary come the turbine geometry of the turbine of the pressurizer to drive to determine the pressure drop being arranged in parallel structure.Knowing
It may be determined that the power of described turbine in the case of pressure drop, the power of described turbine can be used for describing described supercharging dress
The dynamic characteristic put.Dividing of the mass flow of branch road being arranged in parallel structure described in flowing through is can determine from described pressure drop
Join and thereby determine that the EGT in the downstream of described turbine power and described turbine.Therefore, previously given effective
The track of supercharger speed can be calculated in the case of Turbine area and bypass area.
For pressurizer that there is bypass line, being driven with waste gas, opening the feelings of bypass line
Under condition, pressure drop is dependent only on effective Turbine area, and described effective Turbine area then depends on set turbine geometry
Shape.
Try to achieve the pressure drop or the pressure ratio that are arranged in parallel structure of assembly according to method described above, this
A little can be used, if described pressure drop will being calculated according to the effective cross-sectional area of these assemblies.
Using to there is variable turbine geometry and bypass conduit-free road, the pressurizer that driven with waste gas enters
In the case that the tradition of row is adjusted, the effect of described turbine bypass is ignored.In this case, although such scheme also may be used
Still to adjust desired boost pressure, but boost pressure undershoot and overshoot then occur at dynamic aspect, because institute
State and adjust the boost pressure deviation that only change due to bypass position can have been occurred and react.Know described simultaneously
In the case of the connection pressure drop that exists above of arrangement, the opening to pressure drop of described bypass line can be tried to achieve perspectively
Impact, and can correspondingly determine the regulation situation for described turbine geometry.Especially thus can suppress due to
The change of effective aperture cross-sectional in described bypass line and the boost pressure disturbance that causes, because the pre-control based on model
System can be reacted to the change of the effective aperture cross-sectional in described bypass line.
Especially can be with previously given others state parameter, especially mass flow, the temperature of the upstream of described assembly, institute
State pressure, effective first flow cross section and/or effective second flow cross section in the downstream of assembly, wherein pass through to use
Method of approximation determines described pressure drop according to described others state parameter.
Additionally, described method of approximation can be equivalent to interpolation, described interpolation uses previously given interpolating function.
Especially higher extreme value and low extreme value can be provided for the solution of described pressure decreasing function, method is：Make standardized
First flow function is equal to standardized second flow function and makes standardized second flow function be equal to standardized the
One flow function, wherein implements described interpolation between described higher extreme value and described low extreme value.
It can be stated that described interpolating function is chosen as with respect to itemDull letter
Number, whereinBe equivalent to the total mass flow rate flowing through the assembly being arranged in parallel, TUsBe equivalent to the temperature of entrance side, pDsQuite
In the output pressure of outlet side, R is equivalent to specific gas constant, A1Be equivalent to and flow through effective the first of described first assembly
Flow cross section and A2Be equivalent to effective second flow cross section flowing through described second assembly.
Additionally, described interpolating function can be equivalent to
Or for example can be equivalent to as an alternative
Wherein, function variable x and y is depended on for the weighting having numerical value to be interpolated and w is equivalent to described interpolating function
Width（Breite）Previously given constant scaling, tanh is tanh, and erf is equivalent to error function.
In one embodiment, when the output pressure especially only above described assembly is with respect to described input pressure
Ratio could use described method of approximation when being more than the first and second critical pressure drop as the data of actual pressure drop.
Furthermore, it is possible to the solution by means of iteration tries to achieve described pressure drop, method is：The result of described interpolation is used
Act on according toThe initial value of fixed-point iteration and according to slopeBy its interpolation
?WithBetween.
If additionally, described pressure drop is between first and second critical pressure drop, in order to try to achieve described pressure drop
Can be to use especially following form
Approximate function, whereinBe equivalent to regard to as described output pressure with respect to the pressure drop of the ratio of input pressure
Data（Angabe）, andLess marginal value that be equivalent to described first assembly, that there is flow function critical
First pressure ratio.
According to a further aspect, it is provided with a kind of device for implementing one of said method.Especially, described device is by structure
Make for：
- provide the critical first pressure of the first flow function for described first assembly to drop and be used for described second assembly
Second flow function critical second pressure fall；
- give in advance on the basis of described first and second flow function standardized and first and second critical pressure drop
Fixed described pressure decreasing function；
- by described pressure drop being determined according to described pressure decreasing function with method of approximation.
Brief description
Below by way of accompanying drawing, embodiment is explained in detail.Accompanying drawing illustrates：
Fig. 1 is the schematic diagram being arranged in parallel structure of two assemblies working as choke valve in gas delivery mechanism；
Fig. 2 is the flow chart for illustrating to the method for the pressure ratio being arranged in parallel structure for asking for Fig. 1；And
Fig. 3 is the chart for illustrating to the method for approximation of the pressure ratio being arranged in parallel structure for determining Fig. 1.
Specific embodiment
Schematically show in FIG be made up of pipeline be arranged in parallel structure 1, described pipeline be used for using first point
The gaseous medium of delivery is carried out on bye-pass 2 and second branched pipe road 3.Described two branch lines 2,3 are connected in parallel to each other and have respectively
There is an assembly, that is, be in stoping the first assembly 4 of flowing and being in described second point in described first branch line 2
The second assembly 5 stoping flowing in bye-pass 3.Described stop flowing assembly 4,5 for example can include simple regulating valve,
The variable regulating valve that can control or the turbine with the turbine geometry that can changeably adjust.
With mass flow, with temperature TUsAnd input pressure pUsConvey gaseous medium to the described structure that is arranged in parallel,
And with identical mass flow, output temperature TDsWith output pressure pDsDescribed gaseous medium is arranged in parallel from described
Derive in structure.The mass flow therefrom producing in described branch line 2,3 is equivalent to the first mass flowWith the second matter
Amount flow.
Especially in a kind of applicable cases in this applicable cases the first assembly 4 of VTG turbine be equivalent to waste gas Lai
The pressurizer driving can determine from described pressure drop and " flowing through and having effective first flow cross section A1First
Assembly 4 or flow through there is effective second flow cross section A2The second assembly 5 the first and second part mass flows、" aspect dividing condition, and from described Part I mass flowThe turbine power P that middle determination is exportedTrbAnd institute
State the EGT T after turbineDs.Described pressure drop here is defined as pressure ratio , thus in output pressure
The numeric ratio of described pressure drop when higher of the pressure reduction and input pressure between is little when described pressure reduction is less.
Flow chart with reference to Fig. 2 is described to the method for determining pressure ratio.
First with following mass flow equation formula as starting point：
Wherein、Be equivalent to the previously given flow function of described first and second part pipelines 2,3, described flow letter
Number is different.
In the case of being arranged in parallel the pressure in structure described in reducing, certainly face when gas flows through the assembly stoping flowing
The pressure on boundaryCompared with, it is possible that hypersonic flow.At that point, rating curveTypically become constant simultaneously
And there is numerical value.This two critical numerical value are depending on the ratio heat c of the gas flowing therethroughPNormal with specific gas
Number R.
Drawn by the conversion of described equation：
Wherein using standardized flow function, and wherein, wherein、It is in described critical first or second pressure ratio、In the case of flow through described first or second
The numerical value of the flow of assembly.Therefore, forThis situation, is suitable for.
For the pressure loss when flowing therethrough the turbine of the described pressurizer being driven with waste gas, can be false
If the association on the function between mass flow and pressure ratio is identical with the situation when flowing through other kinds of choke valve, wherein
Suitably to described critical numerical valueWithCalibrated.In general, in step sl for described first and
The previously given critical numerical value of two assembly 4,5、With、.
Additionally, providing described state parameter, especially mass flow in step s 2, assembly 4,5 upstream temperature
TUs, assembly 4,5 downstream pressure pDs, effective first flow cross section A1With effective second flow cross section A2.
It is provided with variable turbine geometry for having（There is flow functionCritical numerical value）And bypass pipe
For pressurizer turbine, being run with waste gas on road, there is the bypass valve that can adjust in described bypass line（Have
Flow functionCritical numerical value）, for turbine（First assembly）Critical pressure ratio and bypass valve（Second group
Part）Critical pressure ratio for, draw：
In following hypothesis：
Under, in step s3 situation can be divided into three kinds of situations：
Situation 1：
Situation 2：
Situation 3：
Described situation can be implemented as follows distinguish：
OnceMore than described two critical pressure ratios、One of, described functionJust strictly dull
Successively decrease.This point is derived from described two rating curvesMonotonic nature, described two rating curves exist
In precritical scope（Namely）Equally strictly monotone decreasing.In scopeWithInterior, described twoIt is consistently 1, thusIt is also constant.
Draw from fixed-point iteration：As long as initial valuePhysically meaningful（That is）,
So all rightIncludingContribution be all treating excess syndrome numerical value（reelwertig）.That is,Or being equal to more than being less than.
The solution assumed for described fixing point equationFor, can be according to described functionDullness pass
The trend subtracting draws to draw a conclusion：For arbitrarily havingPhysics initial valueFor,,
And for havingSituation for,.
Thus it now is possible to performance is distinguished, method is：AsUsing described critical first pressure ratio
With described critical second pressure ratioAnd thus can identify different in described situation is distinguished, be used for's
Scope.The numerical value of described iterative step it is thus determined that, be in above range which in the range of.
In the first case, described two rating curves are not dependent on.Thus in step s 4 can be easy
Ground calculates, becauseWithAll it is changed into 1.Here is suitable for：
This point is equally applicable to second situation, as long as assuming described rating curve in step s 5, in this flow
It is approximately oval shape in characteristic noncritical scope：
Method of approximation for the ellipse of described rating curve is common method of approximation.Can be in step by this above-mentioned formula
To solve as quadratic equation in a straightforward manner in S6.
There is not the solution on algebraically for the third situation, and therefore will select approximate scheme.Because above-mentioned
Function can be differentiated and strictly monotone decreasing, so not only can using the solution of iteration and can using interpolation
Solution.But, the solution of described interpolation has advantages below：The computing cost that it causes is less.
One limit superior and a limit inferior can be provided for described solution by aforesaid equation, method is：In step S7
Middle useTo replaceAnd use in following step S8To replace, thus in both
Pass through by putting forward in parantheses to obtain equation in situation：
Thus two approximate solutions can be provided for aforesaid equation in step s 9, in this two approximate solutions correspondingly one solutionOn accurate solution and one solutionUnder described accurate solution.This point figure 3 illustrates, and wherein curve K1 is equivalent to
And curve K2 is equivalent to：
.
Fixing point equation（Fixpunktgleichung）
Solution be equivalent to the first point of intersection S P1 and the fixing point equation of described curve K1 and standard straight-line
Solution be equivalent to second point of intersection S P2 of described curve K2 and standard straight-line.Described solutionNow can also be by described
Interpolation between point of intersection S P1 and SP2 is obtaining.
Now, in step slo using carrying out between described two limit in the case of suitable interpolation
Insert.Here, described interpolation should all the time can in the case of differentiating depend on described two、Cause
Number、And should so be selected, thus in described two front factor X1、X2It
In one limiting case more much smaller than another front factor, described interpolation is made to solve close to accurate always.Additionally, described interpolation letter
Number should depend on described two front factor X in strictly monotone ground1、X2Difference.Draw from these requirements：Described interpolating function exists
Described two front factor X1And X2The relatively large limiting case of spacing in there is numerical value 0 or numerical value 1, if described interpolation is led to
Cross following formula
If stating（Be equivalent to the solution of interpolation）.Therefore, it is necessary to select corresponding function in step s 11.These will
Ask and for example met by the interpolating function of following types：
.
Described function variable x and y determines, described ultimate valueWithWhich kind of entered in described interpolation with weight.Here,
W is equivalent to the scaling of the width of described interpolating function and can suitably be selected.The precision of this method of approximation can be used
Checking, method is numeral：Solution by interpolationIt is compared with accurate solution, described accurate solution for example can use iteration
Method is arbitrarily accurately determined in the case of the iterative step using sufficiently large number.
In addition it can be stated that result by described interpolationWith acting on the initial value of the method for suitable iteration, with
Just improve the precision of described solution.As an alternative, the fixing dot characteristics of aforesaid equation can with described function's
SlopeCombination in used（Be equivalent to described functionDerivative）.Pass throughTo determine
Adopted fixed-point iteration.BecauseAlways it is met in noncritical scope, so passing through
With
And withProvide limit superior and limit inferior for above-mentioned non trivial solution.Use described slope
To obtain the solution of aforesaid equationWith respect toWithBetweenRelative position scope（Maß）.It is bigger,Just it is closer to.It is closer to zero,Just it is closer to.IfThere is numerical value -1, thenJust substantially at center.
Therefore, again can be in described numerical value with suitable interpolationWithBetween carry out interpolation.Suitably mean
And meet above-mentioned requirements with the parametrization devious of interpolating function in this case：
.
Claims (13)
1. it is used for first assembly turbine, stoping flowing to the pressurizer especially being driven with waste gas（4）And with this
The second assembly stoping flowing that first assembly is arranged in parallel（5）Pressure drop above（）The method being determined, described
Turbine has the bypass line that variable turbine geometry and is provided with the cross section that can control, methods described have with
Lower step：
- provide for described first assembly（4）First flow function（）Critical first pressure fall（）With
For described second assembly（5）Second flow function（）Critical second pressure fall（）；
- in standardized first and second flow functions（）And the first and second critical pressures
Power drops（）On the basis of previously given pressure decreasing function；
- according to described pressure decreasing function by determining with method of approximation（S7-S11）Described pressure drop（）.
2. the method as described in claim 1, other state parameters wherein previously given, especially mass flow（）, assembly
（4、5）The temperature of upstream, assembly（4、5）The pressure in downstream, effective first flow cross section（A1）With effective second
Flow cross section（A2）One of or multiple state parameter, wherein according to other state parameters described by using method of approximation
To determine described pressure drop（）.
3. the method as described in claim 1 or 2, wherein said method of approximation is equivalent to a kind of interpolation, and this interpolation is using pre-
The interpolating function first giving.
4. the method as described in claim 3, wherein provides the higher extreme value of solution and the limit inferior for described pressure decreasing function
It is worth, method is：Make standardized first flow function（）Equal to standardized second flow function（）
And make described standardized second flow function（）Equal to described standardized first flow function（）, implement interpolation wherein between described higher extreme value and described low extreme value.
5. described interpolating function is wherein selected by the method as described in claim 4（S11）It is with respect to itemDull function, whereinBe equivalent to the total mass flow flowing through the assembly being arranged in parallel
Amount, T-phase is when in the temperature of entrance side, pDsBe equivalent to the output pressure of outlet side, R is equivalent to specific gas constant, A1Quite
In flowing through described first assembly（4）Effective first flow cross section and A2Be equivalent to and flow through described second assembly（5）'s
Effective second flow cross section A2.
6. the method as described in claim 5, wherein said interpolating function is equivalent to
Or, and x
Be equivalent to higher extreme value and low extreme value with y, and w is equivalent to the previously given scaling of the width of interpolating function.
7. the method as any one of claim 3 to 6, wherein using having functionMonotonicity and fixing point
The interpolation of the characteristic of iteration and this function pair pressure drop（）Required derivative.
8. the method as any one of claim 3 to 7, the wherein solution by means of iteration try to achieve described pressure drop（）, method is：According toBy the result of described interpolation with acting on the initial value of fixed-point iteration, and
And according to slopeIt is inserted in itWithBetween.
9. the method as any one of claim 1 to 8, wherein only works as assembly（4、5）Output pressure above is relatively
In input pressure ratio as actual pressure drop（）Data be more than critical the first and second pressure drops（）When, just using method of approximation.
10. the method as any one of claim 1 to 8, wherein, if described pressure drop is in critical first and
Two pressure drops（）Between, use especially following form to try to achieve described pressure drop
Approximate function, whereinBe equivalent to regard to as output pressure（pDs）With respect to input pressure（pUs）Ratio pressure
Fall（）Data, andBe equivalent to described first assembly（4）, the facing of the less marginal value with flow function
The first pressure ratio on boundary（）.
11. are used for implementing the device of one of the method as any one of claim 1 to 10.
12. computer programs, this computer program is designed to execute the method as any one of claim 1 to 10
All steps.
13. machine-readable storage mediums, save as described in claim 12 on this machine-readable storage medium
Computer program.
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| DE102015216255.9A DE102015216255A1 (en) | 2015-08-26 | 2015-08-26 | Method for calculating a pressure drop over two flow-inhibiting components connected in parallel in a gas guidance system, in particular in an exhaust-driven charging device for an internal combustion engine |
| DE102015216255.9 | 2015-08-26 |
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| CN102452387A (en) * | 2010-11-02 | 2012-05-16 | 福特全球技术公司 | Vehicle launch anticipation and adaptation |
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| EP2479409A1 (en) * | 2011-01-25 | 2012-07-25 | Peugeot Citroën Automobiles SA | Method for controlling the temperature of exhaust gases in order to optimise the regeneration of a particle filter |
| US20130074494A1 (en) * | 2011-09-25 | 2013-03-28 | John N. Chi | System and method for estimating engine exhaust manifold operating parameters |
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| DE102013109551A1 (en) * | 2012-09-04 | 2014-03-06 | General Electric Company | Methods and systems for preventing exhaust overheating |
| WO2014193333A1 (en) * | 2013-05-25 | 2014-12-04 | International Engine Intellectual Property Company, Llc | Upstream nox estimation |
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| US20120151999A1 (en) * | 2010-12-18 | 2012-06-21 | GM Global Technology Operations LLC | Method for ascertaining a flap position of an exhaust gas heat exchanger |
| EP2479409A1 (en) * | 2011-01-25 | 2012-07-25 | Peugeot Citroën Automobiles SA | Method for controlling the temperature of exhaust gases in order to optimise the regeneration of a particle filter |
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| CN106481446B (en) | 2020-08-25 |
| DE102015216255A1 (en) | 2017-03-02 |
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