CN109655275A - A kind of gas turbine cycle heat-economy diagnostic method based on sensitivity coefficient method - Google Patents
A kind of gas turbine cycle heat-economy diagnostic method based on sensitivity coefficient method Download PDFInfo
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Abstract
The present invention relates to a kind of gas turbine cycle heat-economy diagnostic method based on sensitivity coefficient method, includes the following steps；According to the parameter for influencing gas turbine proficiency characteristic, establish the state space description equation of description unit efficiency characteristic, the efficiency characteristic state of unit at a time is represented by using each state variable as the n-dimensional space of reference axis, and the efficiency characteristic of gas turbine is indicated with efficiency；According to the state space description equation and state parameter of acquisition, each parameter is calculated one by one to the sensitivity coefficient of efficiency change, is judged that the maximum parameter rejecting for influencing efficiency change influences small parameter on efficiency, is simplified state space description equation.The present invention can not only qualitatively judge gas turbine heat economy problems, and it can more timely and accurately judge to influence the major parameter of its variation, it avoids false data or wrong data from accidentally instructing to operations staff's bring, while can be provided for running optimizatin, the condition monitoring and fault diagnosis etc. of gas turbine monitoring information system and can refer to model.
Description
Technical field
The invention belongs to technical field of gas turbine, and in particular to a kind of gas turbine cycle heat based on sensitivity coefficient method
Thermo-economics Diagnostic Method.
Background technique
As Chinese large-sized power generation is put into operation the increase of number of units with gas turbine, under the premise of guaranteeing unit safety operation,
Its heat-economy is diagnosed, unit on-road efficiency is improved to the maximum extent, is the important goal of electricity power enterprise.Currently, analysis is large-scale
Power generation gas turbine heat Thermo-economics Diagnostic Method is all the diagnosis direction of " calculating economy variation by Parameters variation ", that is, is concentrated
In the research that state parameter variation variation influences circulation heat-economy (thermal efficiency), it is based primarily upon two class methods: first is that base
In the heat balance method of of the first law of thermodynamics, such as traditional thermal efficiency method, equivalent turbine exhaust steam method method, Circulating Function Method etc., this alanysis
The essence of method is the conservation of energy；Second is that the utilizability method based on the second law of thermodynamics.The existing document utilization above method from
Different aspect, different angle analyze influence of the gas turbine parameter to unit economy, construct combined cycle unit heat economy
Property with state parameter variation functional relation etc..Although gas turbine follows when these analysis methods can determine state parameter variation
The size of ring unit heat economy variation, but it is only applicable to performance monitoring or design optimization, the unit being currently running more is closed
The heart is how to will lead to the changed particular state parameter of heat-economy to find out, that is, realizes and " sentenced by heat-economy variation
The diagnostic method of the disconnected major parameter for influencing its variation ", existing method all concentrate on the method for small deviations based on parameter objectives value,
The relationship obtained between set state parameter error and gas turbine cycle heat-economy causes heat-economy to become to qualitatively judge
The parameter of change.
In short, the heat-economy diagnostic method of existing " being changed by Parameters variation to economy ", has reasonability, but right
In excavating unit energy-saving potential, unit on-road efficiency is improved to the maximum extent, it is also necessary to more effective analysis and diagnosis method.
Therefore, it is necessary to between the state parameter deviation and combined cycle unit heat-economy of gas turbine cycle unit
Effectively analysis, and the diagnostic method of " changing judgement by heat-economy influences the major parameter of its variation " is established on this basis.
For this method to unit operation level is improved to the maximum extent, improving business efficiency has highly important value.
Summary of the invention
In view of the above problems, a kind of heat-economy diagnostic method for gas turbine cycle provided by the invention, this hair
Bright purpose is to provide the diagnostic method of the gas turbine cycle heat-economy based on sensitivity coefficient method, and this method can be to unit
Therrmodynamic system parameter carries out quantitative analysis to the contribution degree of heat economy performance change, to determine which is to influence heat-economy variation
Major parameter.The optimization method includes the following steps:
Step (1): according to the parameter for influencing gas turbine proficiency characteristic, the state space of description unit efficiency characteristic is established
Descriptive equation, the efficiency characteristic state of unit at a time are represented by using each state variable as the n-dimensional space of reference axis.It should
Space is determined by the topological structure of gas turbine engine systems, service condition and the method for operation.State space description establishing equation, then
Each unit status parameter and the efficiency characteristic of unit also determine therewith.
The state parameter includes fuel characteristic f, atmospheric temperature Ta, atmospheric pressure pa, compressor inlet temperature T1 *, pressure
Compressor intake pressureCompressor delivery temperatureCompressor delivery pressureCombustor exit pressureTurbine import
TemperatureTurbine exhaust temperatureTurbine outlet pressureCompressor air inlet machine crushing εc, turbine exhaust crushing εt, combustion chamber
Crushing εb, compressor compression efficiency ηc, turbine expansion efficiency etat, burner efficiency ηb；The efficiency characteristic of gas turbine can use its group
It is indicated at the combination of the efficiency of component.
The efficiency of gas turbine is represented by three of them component compressor, combustion chamber and combustion gas turbine three component efficiencies
Combination, the i.e. efficiency eta of gas turbinegtParameter, with compressor efficiency ηc, burner efficiency ηb, combustion gas turbine ηtThe group of efficiency
Conjunction form indicates:
Wherein: the ratio between the mass flow of x=1+f, combustion gas and air, when f is compressor sucking unit mass air, burning
The fuel quantity that room is added, referred to as fuel fuel air ratio；
Wherein:
WhereinBe expressed as average specific heat capacity at constant pressure of the air in compression process, etc.
Average specific heat capacity at constant pressure in expansion process of blower outlet air stagnation temperature, combustion gas and when constant entropy expansion, are saturating when entropic spueezing
It clears the combustion gas stagnation temperature of mouth；QnetIt is expressed as the low heat valve of fuel；
Wherein:It is the warm ratio of gas turbine,It is the pressure ratio of compressor,
Wherein:
So gas turbine proficiency characteristic states spatial description equation may be expressed as:
ηgt=f (τ, π, ηc,ηt,ηb,εc,εb,εt)
Step (2): the state space description equation that is (1) obtained according to step and it includes state parameter, according to thermodynamics
Proportionate relationship between each Parameters variation of theoretical calculation and efficiency change calculates each parameter to the sensitivity of efficiency change one by one
Coefficient, rejecting influence small parameter on efficiency, simplify state space description equation；
η=f (x will be expressed as with the efficiency function of state space description equation1,x2,...,xi,xn)。
Step (3): when all parameter factors all change, respectively by x1,x2,...,xiBecome x '1,x′2,...,x′i,
Variable quantity is respectively Δ x1,Δx2,...,ΔxiWhen, x '1=x1+Δx1,x′2=x2+Δx2,...,x′i=xi+Δxi, then imitate
Corresponding change also occurs for rate η, becomes η ' from η, with the variation delta η=η '-η for indicating η that the variation of all factors indicates jointly.
Step (4): efficiency change is linearized using the Taylor expansion of the function of many variables:
In formulaFor xiTo the partial derivative of η；ΔxiFor xiVariable quantity.
If only xiFactor changes, and other factors do not change, i.e. Δ xi≠0,Δxj=0, j ≠ i, then efficiency eta
Variable quantity be denoted as Δ ηi, it is Δ xiTo the influence value of η, it is expressed asObviously,
Step (5): the sensitivity coefficient to efficiency change of each parameter is calculated.Define the variable quantity and factor x of ηiChange
The ratio between change amount is η to xiInfluence coefficient Ai, thenIt is meant that i-th of factor xiBecome
Change one percentage point, efficiency will be caused to change AiPercentage point.AiBeing positive indicates Δ ηiWith Δ xiChange direction it is identical.|Ai| more
Greatly, show factor xiInfluence to efficiency is bigger.
Step (6): A is utilizediCalculate a in step (4)i:
Step (7): parameters are calculated and change the size influenced on efficiency:
Step (8): by comparing Δ ηiSize judgement influence its variation maximum parameter xi。
The invention has the advantages that:
The present invention can not only qualitatively judge gas turbine heat economy problems, and can more timely and accurately judge to influence
Its major parameter changed avoids false data or wrong data from accidentally instructing to operations staff's bring, while can be combustion gas
The offers such as running optimizatin, the condition monitoring and fault diagnosis of turbine monitoring information system can refer to model.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to embodiments, to the present invention
It is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, it is not used to
Limit the present invention.
The present invention provides a kind of gas turbine cycle heat-economy diagnostic method based on sensitivity coefficient method, the optimization side
Method includes the following steps:
Step (1): according to the parameter for influencing gas turbine proficiency characteristic, the state space of description unit efficiency characteristic is established
Descriptive equation, the efficiency characteristic state of unit at a time are represented by using each state variable as the n-dimensional space of reference axis.It should
Space is determined by the topological structure of gas turbine engine systems, service condition and the method for operation.State space description establishing equation, then
Each unit status parameter and the efficiency characteristic of unit also determine therewith.
The state parameter includes fuel characteristic f, atmospheric temperature Ta, atmospheric pressure pa, compressor inlet temperature T1 *, pressure
Compressor intake pressureCompressor delivery temperatureCompressor delivery pressureCombustor exit pressureTurbine import temperature
DegreeTurbine exhaust temperatureTurbine outlet pressureCompressor air inlet machine crushing εc, turbine exhaust crushing εt, combustion chamber
Crushing εb, compressor compression efficiency ηc, turbine expansion efficiency etat, burner efficiency ηb；The efficiency characteristic of gas turbine can use its group
It is indicated at the combination of the efficiency of component.
The efficiency of gas turbine is represented by three of them component compressor, combustion chamber and combustion gas turbine three component efficiencies
Combination, the i.e. efficiency eta of gas turbinegtParameter, with compressor efficiency ηc, burner efficiency ηb, combustion gas turbine ηtThe group of efficiency
Conjunction form indicates:
Wherein: the ratio between the mass flow of x=1+f, combustion gas and air, when f is compressor sucking unit mass air, burning
The fuel quantity that room is added, referred to as fuel fuel air ratio；
Wherein:
WhereinBe expressed as average specific heat capacity at constant pressure of the air in compression process, etc.
Average specific heat capacity at constant pressure in expansion process of blower outlet air stagnation temperature, combustion gas and when constant entropy expansion, are saturating when entropic spueezing
It clears the combustion gas stagnation temperature of mouth；QnetIt is expressed as the low heat valve of fuel；
Wherein:It is the warm ratio of gas turbine,It is the pressure ratio of compressor,
Wherein:
So gas turbine proficiency characteristic states spatial description equation may be expressed as:
ηgt=f (τ, π, ηc,ηt,ηb,εc,εb,εt)
Step (2): the state space description equation that is obtained according to step (1) and it includes state parameter, according to heating power
Theory calculates the proportionate relationship between each Parameters variation and efficiency change, and rejecting influences small parameter on efficiency, simplifies shape
State space descriptive equation.
Step (3): η=f (x will be expressed as with the efficiency function of state space description equation1,x2,...,xi,xn)；
When all factors all change, respectively by x1,x2,...,xiBecome x '1,x′2,...,x′i, variable quantity is respectively
Δx1,Δx2,...,ΔxiWhen, x '1=x1+Δx1,x′2=x2+Δx2,...,x′i=xi+Δxi, then efficiency eta also occurs accordingly
Variation, becomes η ' from η, with the variation delta η=η '-η for indicating η that the variation of all factors indicates jointly.
Step (4): efficiency change is linearized using the Taylor expansion of the function of many variables:
In formulaFor xiTo the partial derivative of η；ΔxiFor xiVariable quantity.
If only xiFactor changes, and other factors do not change, i.e. Δ xi≠0,Δxj=0, j ≠ i, then efficiency eta
Variable quantity be denoted as Δ ηi, it is Δ xiTo the influence value of η, it is expressed asObviously,
Step (5): the sensitivity coefficient to efficiency change of each parameter is calculated.Define the variable quantity and factor x of ηiChange
The ratio between change amount is η to xiInfluence coefficient Ai, thenIt is meant that i-th of factor xiBecome
Change one percentage point, efficiency will be caused to change AiPercentage point.AiBeing positive indicates Δ ηiWith Δ xiChange direction it is identical.|Ai| more
Greatly, show factor xiInfluence to efficiency is bigger.
Step (6): A is utilizediCalculate a in step (4)i:
Step (7): parameters are calculated and change the size influenced on efficiency:
Step (8): by comparing Δ ηiSize judgement influence its variation maximum parameter xi。
The present invention realizes gas turbine cycle unit " changing judgement by heat-economy influences the major parameter of its variation "
Heat-economy diagnosis.Method using for operating states of the units feature space and its variable as foundation, according to combined-cycle operation
Characteristic calculates state parameter using thermodynamic method and becomes to gas turbine heat economic performance from therrmodynamic system structure and mechanism
The influence degree of change, to other parameters effect and to overall thermal economic performance variation contribution degree；Utilize Taylor's formula
Coupled relation between each parameter is decoupled, is calculated using sensitivity coefficient standard measure and obtains Parameters variation to thermal efficiency of cycle
Influence and its influence order, it is that judging causes heat-economy to change maximum for which state parameter.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention
Made any modifications, equivalent replacements, and improvements etc., should all be included in the protection scope of the present invention within mind and principle.
Claims (4)
1. a kind of gas turbine cycle heat-economy diagnostic method based on sensitivity coefficient method, which is characterized in that including walking as follows
It is rapid:
Step 1: according to the parameter for influencing gas turbine proficiency characteristic, the state space description of description unit efficiency characteristic is established
Equation, the efficiency characteristic state of unit at a time are represented by using each state variable as the n-dimensional space of reference axis；Combustion gas wheel
The efficiency characteristic of machine can be indicated with the combination of the efficiency of its building block；
Step 2: according to the state space description equation of acquisition and it includes state parameter, calculate each Parameters variation and effect
Proportionate relationship between rate variation calculates each parameter to the sensitivity coefficient of efficiency change one by one, judges to influence efficiency change
Maximum parameter rejecting influences small parameter on efficiency, simplifies state space description equation with this.
2. a kind of gas turbine cycle heat-economy diagnostic method based on sensitivity coefficient method as described in claim 1, special
Sign is that the state parameter in step 1 specifically includes fuel characteristic f, atmospheric temperature Ta, atmospheric pressure pa, compressor inlet temperature
DegreeCompressor intake pressureCompressor delivery temperatureCompressor delivery pressureCombustor exit pressureThoroughly
Flat inlet temperatureTurbine exhaust temperatureTurbine outlet pressureCompressor air inlet machine crushing εc, turbine exhaust crushing εt, combustion
Burn the crushing ε of roomb, compressor compression efficiency ηc, turbine expansion efficiency etat, burner efficiency ηb。
3. a kind of gas turbine cycle heat-economy diagnostic method based on sensitivity coefficient method as claimed in claim 2, special
Sign is, establishes state space description equation, specific as follows,
The efficiency of gas turbine is represented by the group of three three of them component compressor, combustion chamber and combustion gas turbine component efficiencies
It closes, i.e. the efficiency eta of gas turbinegtParameter, with compressor compression efficiency ηc, burner efficiency ηb, combustion gas turbine expansion effect
Rate ηtCombining form indicate:
Wherein: the ratio between the mass flow of x=1+f, combustion gas and air, when f is compressor sucking unit mass air, combustion chamber institute
The fuel quantity of addition, referred to as fuel fuel air ratio；
Wherein:
Wherein cpa、T2 * s、cpg、T4 * sIt is expressed as pressure when average specific heat capacity at constant pressure of the air in compression process, isentropic Compression
The combustion of turbine outlet when average specific heat capacity at constant pressure in expansion process of mechanism of qi outlet air stagnation temperature, combustion gas and constant entropy expansion
Gas stagnation temperature；QnetIt is expressed as the low heat valve of fuel；
Wherein:It is the warm ratio of gas turbine,It is the pressure ratio of compressor,
Wherein:
So gas turbine proficiency characteristic states spatial description equation may be expressed as:
ηgt=f (τ, π, ηc,ηt,ηb,εc,εb,εt)
4. a kind of gas turbine cycle heat-economy diagnostic method based on sensitivity coefficient method as described in claim 1, special
Sign is, simplifies state space description equation in the following manner,
1) η=f (x is expressed as with the efficiency function of state space description equation1,x2,...,xi,xn)；When all parameter factors all
It changes, respectively by x1,x2,...,xiBecome x '1,x′2,...,x′i, variable quantity is respectively Δ x1,Δx2,...,ΔxiWhen,
That is x '1=x1+Δx1,x′2=x2+Δx2,...,x′i=xi+Δxi, then corresponding change also occurs for efficiency eta, becomes η ' from η, uses
Indicate the variation delta η=η '-η for the η that all factor variations indicate jointly；
2) efficiency change is linearized using the Taylor expansion of the function of many variables:
In formulaFor xiTo the partial derivative of η；ΔxiFor xiVariable quantity；
As only xiFactor changes, and other factors do not change, i.e. Δ xi≠0,Δxj=0, j ≠ i, the then variable quantity of efficiency eta
It is denoted as Δ ηi, it is Δ xiTo the influence value of η, it is expressed asObviously,
3) it calculates the sensitivity coefficient to efficiency change of each parameter: defining the variable quantity and factor x of ηiThe ratio between variable quantity be η
To xiInfluence coefficient Ai, then
4): utilizing AiCalculate a in step 2)i,
5): it calculates parameters and changes the size influenced on efficiency:By comparing Δ ηiIt is big
Small judgement influences the maximum parameter x of its variationi。
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