CN107329939A - Combustion engine compressor inlet stator hydraulic control system oil cylinder leadage coefficient evaluation method - Google Patents

Combustion engine compressor inlet stator hydraulic control system oil cylinder leadage coefficient evaluation method Download PDF

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CN107329939A
CN107329939A CN201710515462.0A CN201710515462A CN107329939A CN 107329939 A CN107329939 A CN 107329939A CN 201710515462 A CN201710515462 A CN 201710515462A CN 107329939 A CN107329939 A CN 107329939A
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CN107329939B (en
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武鑫
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North China Electric Power University
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/18Complex mathematical operations for evaluating statistical data, e.g. average values, frequency distributions, probability functions, regression analysis
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06Power analysis or power optimisation

Abstract

The present invention proposes the evaluation method of oil cylinder inside and outside leadage coefficient in the import adjustable guide vane hydraulic control system of gas turbine blower a kind of.It is primarily based on flow continuity equation, it is considered to oil cylinder inside and outside leak model, sets up oil cylinder mathematical modeling;For application model parameter evaluation method, oil cylinder mathematical modeling is rewritten as matrix form;Recurrence Ridge Regression Modeling Method appraising model parameter is further used, to reduce the mean square error of estimation parameter.Dynamic estimation is carried out to oil cylinder inside and outside leadage coefficient in import adjustable guide vane hydraulic control system by the inventive method, its is real-time, computing is convenient, estimation result precision is high, error is small, efficiently solves the technical barrier that oil cylinder leadage coefficient estimation is carried out in gas turbine blower import adjustable guide vane hydraulic control system running.

Description

Combustion engine compressor inlet stator hydraulic control system oil cylinder leadage coefficient evaluation method
Technical field
Let out the present invention relates to oil cylinder inside and outside in a kind of import adjustable guide vane hydraulic control system of gas turbine blower The evaluation method of the coefficient of leakage, it is adaptable to Mobile state analysis is entered to the leadage coefficient of oil cylinder during hydraulic work system and estimated Calculate.
Background technology
Gas compressor in gas turbine is by import adjustable guide vane, multistage movable vane and stator blade composition.Wherein the first order uses hydraulic pressure The import adjustable guide vane of servo-drive system regulation, when gas turbine is in load operation, by adjusting import adjustable guide vane opening Angle, adjusts charge flow rate, makes gas turbine Effec-tive Function.But the internal leakage at oil cylinder piston can reduce holding for hydraulic system Loading capability, the External leakage of each chamber of oil cylinder can increase the response sluggishness of hydraulic system, increase guide vane opening angle accumulated error, Even result in gas turbine and occur tripping fault.Therefore, the failure strong influence combustion of import adjustable guide vane hydraulic control system Economy, stability and the security of gas-turbine operation.
Influence of the leakage rate of leakage position and these positions for analysis oil cylinder to gas turbine operation is, it is necessary to oil Cylinder inside and outside leadage coefficient is estimated;Prior art mainly estimates whether the relative leakage amount or detection oil cylinder of each leakage point let out Leakage, its calculating process is complex, it is difficult to quantitative evaluation leadage coefficient, and estimation result error is larger;It would therefore be highly desirable to design one Plant convenience of calculation, the evaluation method of the accurate oil cylinder inside and outside leadage coefficient of result.
The content of the invention
Based in place of the deficiencies in the prior art, the invention provides a kind of import adjustable guide vane liquid of gas turbine blower The evaluation method of oil cylinder inside and outside leadage coefficient in regulating system is pressed, in gas turbine blower import adjustable guide vane hydraulic regulation System operation is separated and recognized to the inside and outside leadage coefficient of oil cylinder, is let out so as to solve quantitative evaluation oil cylinder inside and outside The technical barrier of leakage, provides data for the analysis of import adjustable guide vane hydraulic control system leakage failure and supports.
Technical proposal that the invention solves the above-mentioned problems comprises the following steps:
1) flow continuity equation is based on, the mathematical modeling of oil cylinder in import adjustable guide vane hydraulic control system is set up:
Q in formulaAFor oil cylinder chamber A flow, QBFor oil cylinder chamber B flow, AAFor oil cylinder chamber A piston area, ABFor oil cylinder Chamber B piston area, PAFor oil cylinder chamber A pressure, PBFor oil cylinder chamber B pressure, L is piston total kilometres, xpFor piston displacement, βeFor effective modulus of elasticity, CipFor the internal leakage coefficient of oil cylinder piston, CepAFor oil cylinder chamber A External leakage coefficient, CepBFor Oil cylinder chamber B External leakage coefficient;Oil cylinder inside and outside leak model is contained in this model;
2) rewrite step 1) in mathematical modeling be matrix form:
[Q]=Φ θ+ε
ε is estimation error in formula,
θ=[1/ βe Cip CepA CepB]T,
3) it is based on step 2), using recurrence Ridge Regression Modeling Method, calculating parameter vector θ estimateIt is as follows:
K (t)=D (t) Φ+(t)
D (t)=[I-K (t) Φ (t)] D (t-1)/λ
T >=1, Φ in formula+T[ΦΦT+αI]-1, ФTFor Ф transposed matrix, I is unit matrix, and α is inclined constant (0 ≤ α < ∞), λ is learning rate.
Further, the step 1) in oil cylinder mathematical model parameter βe、Cip、CepA、CepBEstimate by step 3) Obtain.
The technical effects of the invention are that:Flow continuity equation is primarily based on, import adjustable guide vane hydraulic regulation system is set up The mathematical modeling of oil cylinder in system, this model contains the leak model of oil cylinder inside and outside leadage coefficient;Then by oil cylinder mathematical modulo Type is rewritten as matrix form, consequently facilitating application model parameter evaluation method;In order to reduce the mean square error of estimation parameter, enter one Step ground uses recurrence Ridge Regression Modeling Method appraising model parameter.It is transducible to the import of gas turbine blower by the inventive method Oil cylinder inside and outside leadage coefficient carries out dynamic estimation in leaf hydraulic control system, and its is real-time, and computing is convenient, estimation result essence Degree is high, and error is small, efficiently solves and oil is carried out in gas turbine blower import adjustable guide vane hydraulic control system running The technical barrier of cylinder leadage coefficient estimation.
Brief description of the drawings
Fig. 1 show oil cylinder inside and outside leadage coefficient evaluation method flow chart;
Fig. 2 show hydraulic system displacement output and stress when oil cylinder displacement reduces;
Fig. 3 show oil cylinder inside and outside leadage coefficient estimation result when oil cylinder displacement reduces;
Hydraulic system displacement output and stress when Fig. 4 show oil cylinder displacement increase;
Oil cylinder inside and outside leadage coefficient estimation result when Fig. 5 show oil cylinder displacement increase.
Embodiment
As shown in figure 1, oil cylinder leadage coefficient in a kind of import adjustable guide vane hydraulic control system of gas turbine blower Evaluation method, comprise the following steps:
1) 2 group oil cylinder displacements and stress change are collected on import adjustable guide vane hydraulic control system simulated experiment platform, with And setting inside and outside leadage coefficient reference value it is different when, the displacement of hydraulic system piston, stress, pressure, data on flows.
Based on flow continuity equation, it is considered to oil cylinder inside and outside leak model, import adjustable guide vane hydraulic control system is set up The mathematical modeling of middle oil cylinder:
Q in formulaAFor oil cylinder chamber A flow, QBFor oil cylinder chamber B flow, AAFor oil cylinder chamber A piston area, ABFor oil cylinder Chamber B piston area, PAFor oil cylinder chamber A pressure, PBFor oil cylinder chamber B pressure, L is piston total kilometres, xpFor piston displacement, βeFor effective modulus of elasticity, CipFor the internal leakage coefficient of oil cylinder piston, CepAFor oil cylinder chamber A External leakage coefficient, CepBFor Oil cylinder chamber B External leakage coefficient.
2) for application model parameter evaluation method, the mathematical modeling of oil cylinder is rewritten as matrix form:
[Q]=Φ θ+ε
ε is estimation error in formula,
θ=[1/ βe Cip CepA CepB]T,
3) estimate the mean square error of parameter for reduction and avoid matrix Φ ill-condition to estimation parameter vector θ shadow Ring, based on step 2), using recurrence Ridge Regression Modeling Method, calculating parameter vector θ estimateIt is as follows:
K (t)=D (t) Φ+(t)
D (t)=[I-K (t) Φ (t)] D (t-1)/λ
T >=1, Φ in formula+T[ΦΦT+αI]-1, ФTFor Ф transposed matrix, I is unit matrix, and α is inclined constant (0 ≤ α < ∞), λ is learning rate.
α values in Ridge Regression Modeling Method are set as 0.015, and learning rate λ is set as 1.2.
Step 1 of the present invention) in oil cylinder mathematical model parameter βe、Cip、CepA、CepBEstimate by step 3) obtain.
In order to verify the validity and accuracy of oil cylinder inside and outside leadage coefficient evaluation method under the conditions of different operating, not Under same oil cylinder displacement and stress condition, the different inside and outside leadage coefficient reference values of setting, the displacement of collection hydraulic pressure system piston, Stress, pressure, data on flows, using leadage coefficient evaluation method of the present invention, calculate oil cylinder inside and outside leadage coefficient.
As Figure 2-3, when oil cylinder displacement reduction and piston stress change, one group of inside and outside leadage coefficient ginseng of setting Value is examined, the displacement of collection hydraulic pressure system piston, stress, pressure, data on flows, using leadage coefficient evaluation method, are obtained in oil cylinder External leakage coefficient estimate result, its inside and outside leakage coefficient estimate result is corresponding with reference value.
As illustrated in figures 4-5, when oil cylinder displacement increase and piston stress change, another group of inside and outside leadage coefficient is set Reference value, the displacement of collection hydraulic pressure system piston, stress, pressure, data on flows, using leadage coefficient evaluation method, obtain oil cylinder Inside and outside leadage coefficient estimation result, its inside and outside leakage coefficient estimate result is corresponding with reference value.As can be seen here, this hair Estimation result is accurately and reliably in actual applications for bright inside and outside leakage coefficient estimate method.
Further, the oil cylinder inside and outside leadage coefficient estimated is compared with the reference value set, obtains estimation Stable state absolute maximum error and stable state absolute average error.
The oil cylinder inside and outside leadage coefficient absolute error value of table 1
As shown in Table 1, estimated value stable state absolute maximum error≤6.9% of the inventive method, and stable state is definitely averagely missed Difference≤3.49%.It can be seen that, this method can effectively estimate that oil cylinder inside and outside is leaked in import adjustable guide vane hydraulic control system Coefficient value, is particularly suitable for use in hydraulic control system running and carries out oil cylinder leadage coefficient estimation.
It the above is only the preferred embodiment of the present invention, protection scope of the present invention is not limited to reality shown in this article Example is applied, all technical schemes belonged under thinking of the present invention belong to protection scope of the present invention.It should be pointed out that being led for this technology For the those of ordinary skill in domain, some modifications and retouching without departing from the principles of the present invention also should be regarded as the present invention's Protection domain.

Claims (2)

1. the evaluation method of oil cylinder leadage coefficient in a kind of import adjustable guide vane hydraulic control system of gas turbine blower, its Comprise the following steps that:
1) it is based on flow continuity equation, it is considered to oil cylinder inside and outside leak model, sets up in import adjustable guide vane hydraulic control system The mathematical modeling of oil cylinder:
<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>Q</mi> <mi>A</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>A</mi> <mi>A</mi> </msub> <msub> <mi>x</mi> <mi>p</mi> </msub> </mrow> <msub> <mi>&amp;beta;</mi> <mi>e</mi> </msub> </mfrac> <msub> <mover> <mi>P</mi> <mo>&amp;CenterDot;</mo> </mover> <mi>A</mi> </msub> <mo>+</mo> <msub> <mi>A</mi> <mi>A</mi> </msub> <msub> <mover> <mi>x</mi> <mo>&amp;CenterDot;</mo> </mover> <mi>p</mi> </msub> <mo>+</mo> <msub> <mi>C</mi> <mrow> <mi>i</mi> <mi>p</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>P</mi> <mi>A</mi> </msub> <mo>-</mo> <msub> <mi>P</mi> <mi>B</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>C</mi> <mrow> <mi>e</mi> <mi>p</mi> <mi>A</mi> </mrow> </msub> <msub> <mi>P</mi> <mi>A</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <msub> <mi>Q</mi> <mi>B</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>A</mi> <mi>B</mi> </msub> <mrow> <mo>(</mo> <mi>L</mi> <mo>-</mo> <msub> <mi>x</mi> <mi>p</mi> </msub> <mo>)</mo> </mrow> </mrow> <msub> <mi>&amp;beta;</mi> <mi>e</mi> </msub> </mfrac> <msub> <mover> <mi>P</mi> <mo>&amp;CenterDot;</mo> </mover> <mi>B</mi> </msub> <mo>-</mo> <msub> <mi>A</mi> <mi>B</mi> </msub> <msub> <mover> <mi>x</mi> <mo>&amp;CenterDot;</mo> </mover> <mi>p</mi> </msub> <mo>-</mo> <msub> <mi>C</mi> <mrow> <mi>i</mi> <mi>p</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>P</mi> <mi>A</mi> </msub> <mo>-</mo> <msub> <mi>P</mi> <mi>B</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>C</mi> <mrow> <mi>e</mi> <mi>p</mi> <mi>B</mi> </mrow> </msub> <msub> <mi>P</mi> <mi>B</mi> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>
Q in formulaAFor oil cylinder chamber A flow, QBFor oil cylinder chamber B flow, AAFor oil cylinder chamber A piston area, ABFor oil cylinder chamber B's Piston area, PAFor oil cylinder chamber A pressure, PBFor oil cylinder chamber B pressure, L is piston total kilometres, xpFor piston displacement, βeTo have Imitate modulus of elasticity, CipFor the internal leakage coefficient of oil cylinder piston, CepAFor oil cylinder chamber A External leakage coefficient, CepBFor oil cylinder chamber B External leakage coefficient;
2) rewrite step 1) in mathematical modeling be matrix form:
[Q]=Φ θ+ε
ε is estimation error in formula,
<mrow> <mo>&amp;lsqb;</mo> <mi>Q</mi> <mo>&amp;rsqb;</mo> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>Q</mi> <mi>A</mi> </msub> <mo>-</mo> <msub> <mi>A</mi> <mi>A</mi> </msub> <msub> <mover> <mi>x</mi> <mo>&amp;CenterDot;</mo> </mover> <mi>p</mi> </msub> </mtd> </mtr> <mtr> <mtd> <mo>-</mo> <msub> <mi>Q</mi> <mi>B</mi> </msub> <mo>+</mo> <msub> <mi>A</mi> <mi>B</mi> </msub> <msub> <mover> <mi>x</mi> <mo>&amp;CenterDot;</mo> </mover> <mi>p</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> </mrow>
θ=[1/ βe Cip CepA CepB]T,
<mrow> <mi>&amp;Phi;</mi> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>A</mi> <mi>A</mi> </msub> <msub> <mi>x</mi> <mi>p</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>P</mi> <mo>&amp;CenterDot;</mo> </mover> <mi>A</mi> </msub> </mrow> </mtd> <mtd> <mrow> <msub> <mi>P</mi> <mi>A</mi> </msub> <mo>-</mo> <msub> <mi>P</mi> <mi>B</mi> </msub> </mrow> </mtd> <mtd> <msub> <mi>P</mi> <mi>A</mi> </msub> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>A</mi> <mi>B</mi> </msub> <mrow> <mo>(</mo> <mi>L</mi> <mo>-</mo> <msub> <mi>x</mi> <mi>p</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>P</mi> <mo>&amp;CenterDot;</mo> </mover> <mi>B</mi> </msub> </mrow> </mtd> <mtd> <mrow> <msub> <mi>P</mi> <mi>B</mi> </msub> <mo>-</mo> <msub> <mi>P</mi> <mi>A</mi> </msub> </mrow> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <msub> <mi>P</mi> <mi>B</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>;</mo> </mrow>
3) it is based on step 2), using recurrence Ridge Regression Modeling Method, calculating parameter vector θ estimateIt is as follows:
<mrow> <mover> <mi>&amp;theta;</mi> <mo>^</mo> </mover> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mover> <mi>&amp;theta;</mi> <mo>^</mo> </mover> <mrow> <mo>(</mo> <mi>t</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>+</mo> <mi>K</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>{</mo> <mo>&amp;lsqb;</mo> <mi>Q</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>-</mo> <mi>&amp;Phi;</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <mover> <mi>&amp;theta;</mi> <mo>^</mo> </mover> <mrow> <mo>(</mo> <mi>t</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>}</mo> </mrow>
K (t)=D (t) Φ+(t)
D (t)=[I-K (t) Φ (t)] D (t-1)/λ
T >=1, Φ in formula+T[ΦΦT+αI]-1, ФTFor Ф transposed matrix, I is unit matrix, and α is inclined constant (0≤α < ∞), λ is learning rate.
2. oil cylinder leakage system in the import adjustable guide vane hydraulic control system of gas turbine blower according to claim 1 Several evaluation methods, it is characterised in that:The step 1) in oil cylinder mathematical model parameter βe、Cip、CepA、CepBEstimate by Step 3) obtain.
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Cited By (3)

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CN108843654A (en) * 2018-07-04 2018-11-20 上海交通大学 A kind of valve control cylinder mode leakage judgment means and method based on Subspace Identification
CN111753465A (en) * 2020-06-05 2020-10-09 长江三峡通航管理局 Method for diagnosing leakage fault in buffering oil cylinder of anti-collision buffering hydraulic system of ship lift
CN113408219A (en) * 2021-07-01 2021-09-17 中国航发沈阳发动机研究所 Method for calculating fuel leakage of broken gas turbine pipeline

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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108843654A (en) * 2018-07-04 2018-11-20 上海交通大学 A kind of valve control cylinder mode leakage judgment means and method based on Subspace Identification
CN111753465A (en) * 2020-06-05 2020-10-09 长江三峡通航管理局 Method for diagnosing leakage fault in buffering oil cylinder of anti-collision buffering hydraulic system of ship lift
CN111753465B (en) * 2020-06-05 2022-08-16 长江三峡通航管理局 Method for diagnosing leakage fault in buffering oil cylinder of anti-collision buffering hydraulic system of ship lift
CN113408219A (en) * 2021-07-01 2021-09-17 中国航发沈阳发动机研究所 Method for calculating fuel leakage of broken gas turbine pipeline
CN113408219B (en) * 2021-07-01 2023-09-22 中国航发沈阳发动机研究所 Method for calculating breaking oil leakage of gas turbine pipeline

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