CN106097151B - A method of the reduction power plant data uncertainty based on data harmonization - Google Patents
A method of the reduction power plant data uncertainty based on data harmonization Download PDFInfo
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- CN106097151B CN106097151B CN201610473979.3A CN201610473979A CN106097151B CN 106097151 B CN106097151 B CN 106097151B CN 201610473979 A CN201610473979 A CN 201610473979A CN 106097151 B CN106097151 B CN 106097151B
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Abstract
A method of the reduction power plant data uncertainty based on data harmonization belongs to power plant's data processing and modeling field.Its technical step includes: 1) suitable measurand and unmeasured variable in selecting system, and evaluates the uncertainty of measured value；2) constraint equation for constructing power plant thermal system, establishes full working scope accurate model；3) the redundant measurement information in digging system constructs data harmonization problem；4) data that steady-state operation is chosen from power plant's database, bring data harmonization problem into and are calculated；5) uncertainty of coordination value and the uncertainty of measured value are compared.This method does not increase any extra cost, using the constraint relationship and redundant measurement information of power plant system, the influence of random error in measurement data is reduced, the uncertainty of measurand is reduced, more preferably estimates of parameters is provided, provides more accurate data source for power plant's modeling and performance monitoring.This method is at low cost, effect is good, is easily achieved and promotes.
Description
Technical field
A method of the reduction power plant data uncertainty based on data harmonization belongs to power plant's data processing and modeling neck
Domain.
Background technique
In longer period of time, thermal power generation is still occupied an leading position in China's power generation.Power plant is by multiple phases
The complicated series-parallel system that the subsystem of mutual correlation is constituted, safe and reliable operation are particularly important.Performance monitoring technique is extensive
Its safe operation is ensured applied to power plant.Accurate on-line measurement data are the important foundations of power plant's performance monitoring, measure number
According to error may cause thermal parameter value even monitoring result there is mistake.However, due to aging of measuring instrumentss etc.,
The initial data that power plant's measurement obtains always includes measurement error.Therefore, at the data that can reduce power plant's data uncertainty
Reason method is particularly important.Metrical information of the data coordinating method based on redundancy in system, in conjunction with the constraint of devices in system
Relationship reduces the influence of random error in measurement data, reduces the uncertainty of measurand and unmeasured variable, provides more excellent
System thermal parameter estimated value.Data coordinating method is applied to chemical field earliest, for improving the essence of quality control process
Degree.When data coordinating method is applied to power plant field, the characteristics of needs for power plant system, in conjunction with electric power factory equipment model, into
The data processing method of one step research reduction power plant's data uncertainty.
Summary of the invention
The method for reduction power plant's data uncertainty based on data harmonization that the object of the present invention is to provide a kind of, can subtract
The influence of random error, reduces the uncertainty of measurand and unmeasured variable, provides more preferably system in few measurement data
Thermal parameter estimated value, to improve the effect of power plant's performance monitoring.
The technical scheme is that
A method of the reduction power plant data uncertainty based on data harmonization, it is characterized in that this method includes as follows
Step:
1) according to the redundant measurement information in power plant system, the measurand x for participating in therrmodynamic system EQUILIBRIUM CALCULATION FOR PROCESS is chosen1,
x2,…xnAnd unmeasured variable u1,u2,…up, it is denoted as x and u respectively, wherein n is the total number of measurand, and p is unmeasured change
The total number of amount；
2) it is analyzed by semi-static information, chooses the measurement data under steady state operating condition from power plant's database, surveyed
Quantitative change amount x1,x2,…xnMeasured value y1,y2,…yn, it is denoted as y；
3) standard deviation of each measurand measured value is calculated according to the following formula, to evaluate the uncertainty of measurand, according to
It is secondary to be denoted as σ1,σ2,…σn；
Wherein, i represents ith measurement variable, i takes 1,2,3 ... n；N is the number of all operating conditions；J represents jth group operating condition
Under measurement data, j takes 1,2,3 ... N；xi,jMeasured value of the ith measurement variable under jth group operating condition is represented,Represent i-th
Average value of a measurand under all Test Cycles；
4) according to the model of equipment in power plant system, the constraint equation of power plant system is constructed；Constraint equation include equation about
Two class of beam equation group f and inequality constraints equation group g；
F (x, u)=0 (2)
g(x,u)≤0 (3)
5) measured value of measurand, the uncertainty of measured value, Constrained equations f and g are combined, objective function is utilized
The coordination value x of measurand x is calculated*With the estimated value u of unmeasured variable u*；
Wherein, x*For x1 *,x2 *,…xn *；u*For u1 *,u2 *,…up *；
6) coordination value x is evaluated according to equation (1)*Uncertainty σ*；The uncertainty σ and coordination value of measurement of comparison value y
x*Uncertainty σ*。
Method of the present invention is technically characterized in that 1) redundant measurement information includes spatial redundancy and time redundancy two
Class；Spatial redundancy refers to that multiple measuring instrumentss measure the same measurand, and time redundancy refers to instrument when different
It is interior that multiple measurement has been carried out to the same measurand；2) measurement of the participation therrmodynamic system EQUILIBRIUM CALCULATION FOR PROCESS described in step 1)
Variable includes flow, pressure, temperature, liquid level and power；3) constraint equation of power plant system is flat comprising mass balance equation, energy
Weigh equation, heat transfer characteristic equation, pressure drop equation, efficiency equation and steam turbine through-current capability equation.
In technical solution of the present invention, it is further characterized in that:
Objective function described in step 5)The target letter of objective function or strong robustness comprising least squares formalism
Number；Shown in the objective function of least squares formalism such as equation (6), the objective function of strong robustness includes mesh shown in equation (7)
Scalar functions:
Wherein, xi *Represent x*In i-th of element, yiRepresent i-th of element in y；Σ is represented by the uncertain of measurand
Spend the covariance matrix constituted；Subscript T represents the transposition of matrix；Subscript -1 represents inverse of a matrix；It represents from the 1st to the
The summation of n measurand；cFRepresent the weight parameter of setting.
The present invention has the following advantages that and the technical effect of high-lighting:
The method of the present invention is not under the premise of changing measuring instrumentss and equipment, the measurement letter based on redundancy in power plant system
Breath, in conjunction with the constraint relationship of devices in system, the influence of random error in measurement data is reduced by data harmonization calculating, is dropped
The uncertainty of low measurand and unmeasured variable provides more preferably system thermal parameter estimated value, to improve power plant's property
The effect that can be monitored.This method is at low cost, high reliablity, and effect is good, simple and convenient.
Detailed description of the invention
Fig. 1 is the step flow diagram of the method for the present invention.
Fig. 2 is the power plant model schematic diagram in embodiment.
Fig. 3 is to coordinate front and back condensing water flow comparison diagram in embodiment.
Fig. 4 is the comparison diagram for coordinating the uncertainty of front and back temperature measurand in embodiment.
Fig. 5 is the comparison diagram for coordinating the uncertainty of front and back pressure measurement variable in embodiment.
Fig. 6 is the percentage that the uncertainty of unmeasured variable estimated value before relatively coordinating after coordinating in embodiment reduces.
Specific embodiment
The principle of the present invention and specific implementation are further described with reference to the accompanying drawing.
1) the measuring point information of power plant system according to Fig.2, it can be determined that there are the changes of flow, pressure and temperature in system
The spatial redundancy metrical information of amount.Choose the measurand x for participating in therrmodynamic system EQUILIBRIUM CALCULATION FOR PROCESS1,x2,…x99And unmeasured variable
u1,u2,…u82, including flow, temperature and pressure, it is denoted as x and u respectively, wherein measurand shares 99, and unmeasured variable is total
There are 82；
2) according to the choosing method of steady state data, the measurement data under steady state operating condition is chosen from power plant's database.Surely
The choosing method of state data includes, according to VGB-S-009-S-O-00 standard, maximum change of the output power in continuous 15 minutes
Changing rate should be less than 3% or the standard deviation of the parameters such as output power, main steam flow should be less than 0.001.By measurand
x1,x2,…x99Measured value y1,y2,…y99It is denoted as y；
3) standard deviation of each measurand measured value is calculated according to the following formula, to evaluate the uncertainty of measurand, according to
It is secondary to be denoted as σ1,σ2,…σ99；
Wherein, i represents ith measurement variable, and i takes 1,2,3 ... 99；N is the number of all operating conditions；J represents jth group operating condition
Under measurement data, j takes 1,2,3 ... N；xi,jMeasured value of the ith measurement variable under jth group operating condition is represented,Represent i-th
Average value of a measurand under all Test Cycles；
4) according to the model of equipment in power plant system, the constraint equation of power plant system, including mass balance equation, energy are constructed
Measure the characteristic equation of equilibrium equation and equipment；Constraint equation is divided into equality constraint equation group f and inequality constraints equation group g two
Class；Equality constraint equation totally 109 in the present embodiment, do not have inequality constraints equation；
F (x, u)=0 (2)
g(x,u)≤0 (3)
The number of unmeasured variable is 82 in system, and the number of equality constraint equation is 109, therefore, the redundancy R of system
For 109-82=27.
5) in conjunction with the uncertainty of the measured value of measurand and measured value, in the base for meeting Constrained equations (2) and (3)
On plinth, data harmonization calculating is carried out, objective function is utilizedThe coordination value x of measurand is calculated*With unmeasured variable
Estimated value u*；
Wherein, x*For x1 *,x2 *,…x109 *；u*For u1 *,u2 *,…u82 *；
Objective functionThe objective function of objective function or strong robustness comprising least squares formalism；Common minimum two
Shown in the objective function such as equation (5) for multiplying form, it is mathematically represented as solving one group of equation of satisfaction and inequality constraints condition
The optimization problem of the least square solution of equation group:
The objective function of strong robustness includes objective function shown in equation (6):
Wherein, xi *Represent x*In i-th of element, yiRepresent i-th of element in y；Σ is represented by the uncertain of measurand
Spend the covariance matrix constituted；Subscript T represents the transposition of matrix；Subscript -1 represents inverse of a matrix；It represents from the 1st to the
The summation of 109 measurands；cFRepresent the weight parameter of setting.
6) coordination value x is evaluated according to equation (1)*Uncertainty σ*；The uncertainty σ and coordination value of measurement of comparison value y
x*Uncertainty σ*。
Embodiment 1:
Below by taking a 1000MW fired power generating unit therrmodynamic system as an example, the present invention will be described.As shown in Fig. 2, the electricity
The key equipment of factory's therrmodynamic system include: boiler (Boiler), generator (Gen), steam turbine high-pressure cylinder (HPT1, HPT2), in
Cylinder pressure (IPT1, IPT2), low pressure (LP) cylinder (LPT1, LPT2, LPT3, LPT4 and LPT5), condenser (Cond), condensate pump (CWP),
High-pressure feed-water heater (HPFW1, HPFW2, HPFW3), removes low-pressure feed heater (LPFW5, LPFW6, LPFW7 and LPFW8)
Oxygen device (DA), feed pump (FWP), high steam pipeline (HPIPE), reheaing steam pipe (IPIPE), steam pumping pipeline (EP1,
EP2,EP3,EP4,EP5,EP6,EP7,EP8).Suitable measurand and unmeasured variable are chosen from these equipment, finally
The number of measurand is 99, and the number of unmeasured variable is 82.
According to the measured value of above-mentioned measurand, each measurement is calculated according to equation described in specific embodiment (1)
The standard deviation of the measured value of variable, to evaluate the uncertainty of measurand measured value.Since measurand number is more, here
No longer specifically list the measured value and uncertainty of each measurand.
According to the characteristic equation of the mass balance equation of turbine system, energy-balance equation and grade group, establish about survey
The equality constraint equation group of quantitative change amount and unmeasured variable, the number of constraint equation are 109, are successively denoted as f1,f2,…f109.By
It is more in equation number, it no longer provides one by one here, only enumerates the typical equality constraint equation in part.
The typical constraint equation of 1. therrmodynamic system of table
The m of table 1, p, T, h respectively represent flow, pressure, temperature, enthalpy, and h_ins represents the enthalpy of isentropic procedure, KA generation
The table coefficient of heat transfer, eta represent the isentropic efficiency of grade group, and Q represents heat exchange amount, and LMTD represents logarithmic mean temperature difference (LMTD), and dP represents pressure drop,
Subscript sat represents saturation process, and subscript LKG represents gas leakage.
Present case has chosen the data of steady-state operation from power plant's PI database, and choosing method is, according to VGB-S-009-
S-O-00 standard, maximum rate of change of the output power in continuous 15 minutes should be less than 3%, and output power, main steam flow
The standard deviation of amount should be less than 0.001.
According to the measured value of above-mentioned measurand, the Constrained equations of the uncertainty of measured value and system, building is simultaneously
Solve data harmonization problem.In embodiment, the objective function for choosing least squares formalism is calculated, i.e. specific embodiment
In equation (5).The coordination value of measurand and the estimated value of unmeasured variable are obtained after calculating.According to specific embodiment party
Equation (1) in formula evaluates the uncertainty of coordination value, and the uncertainty of the uncertainty of measurement of comparison value and coordination value.
According to before and after data harmonization as a result, drawing Fig. 3-Fig. 6.Fig. 3, which is represented, coordinates front and back condensation water flow in embodiment
The comparison diagram of amount.It can be seen that the uncertainty of the measured value of condensing water flow is ± 4.8kg/s before coordinating, and condensed after coordinating
The uncertainty of the coordination value of water flow is ± 3.7kg/s, and 24% is reduced than before.
Fig. 4 represents the comparison diagram for coordinating the uncertainty of front and back temperature measurand in embodiment.It can be with from the figure
See, the uncertainty of the outlet temperature (EP1_T_out1-EP8_T_out1) of steam pumping pipeline reduces 29.2% respectively,
28.9%, 29.3%, 29.3%, 29.3%, 34.2%, 39.9% and 16.6%.In addition, the outlet temperature of feed-water heater
Uncertainty also reduces 10%~30%.
Fig. 5 is the comparison diagram for coordinating the uncertainty of front and back pressure measurement variable in embodiment.As can be seen that condensing in figure
Device outlet pressure (Cond_p_out1), water supply pump discharge pressure (FWP_p_out1), boiler export pressure (Boiler_p_
Out1), low pressure (LP) cylinder second level outlet pressure (LPT2_p_out1), 6# steam pumping pressure (EP6_p_out1) uncertainty point
91.7%, 60.3%, 8.2%, 9.1% and 6.1% is not reduced.
Fig. 6 is the percentage that the uncertainty of unmeasured variable estimated value reduces after coordination in embodiment compared with before coordination
Than.In figure as can be seen that compared with before coordination, the uncertainty of unmeasured variable estimated value is substantially reduced after coordination, and part
The uncertainty of variable reduces by 30% or more.
Result above absolutely proves, the uncertain of measurand and unmeasured variable can be significantly reduced in the method for the present invention
Degree, and provide more preferably system thermal parameter estimated value.
Claims (4)
1. a kind of method of reduction power plant's data uncertainty based on data harmonization, it is characterised in that this method is as follows
It carries out:
1) according to the redundant measurement information in power plant system, the measurand x for participating in therrmodynamic system EQUILIBRIUM CALCULATION FOR PROCESS is chosen1,x2,…
xnAnd unmeasured variable u1,u2,…up, it is denoted as x and u respectively, wherein n is the total number of measurand, and p is unmeasured variable
Total number；
2) it is analyzed by semi-static information, chooses the measurement data under steady state operating condition from power plant's database, obtained measurement and become
Measure x1,x2,…xnMeasured value y1,y2,…yn, it is denoted as y；
3) standard deviation of each measurand measured value is calculated according to the following formula, to evaluate the uncertainty of measurand, is successively remembered
For σ1,σ2,…σn；
Wherein, i represents ith measurement variable, i takes 1,2,3 ... n；N is the number of all operating conditions；J is represented under jth group operating condition
Measurement data, j take 1,2,3 ... N；xi,jMeasured value of the ith measurement variable under jth group operating condition is represented,Represent i-th of survey
Average value of the quantitative change amount under all Test Cycles；
4) according to the model of equipment in power plant system, the constraint equation of power plant system is constructed；Constraint equation includes equality constraint side
Two class of journey group f and inequality constraints equation group g；
F (x, u)=0 (2)
g(x,u)≤0 (3)
5) measured value of measurand, the uncertainty of measured value, Constrained equations f and g are combined, objective function is utilizedIt calculates
Obtain the coordination value x of measurand x*With the estimated value u of unmeasured variable u*；
Wherein, x*Foru*For
The objective functionThe objective function of objective function or strong robustness comprising least squares formalism；Least square shape
Shown in the objective function of formula such as equation (6), the objective function of strong robustness includes objective function shown in equation (7):
Wherein, xi *Represent x*In i-th of element, yiRepresent i-th of element in y；∑ representative is made of the uncertainty of measurand
Covariance matrix；Subscript T represents the transposition of matrix；Subscript -1 represents inverse of a matrix；It represents and is surveyed from the 1st to n-th
The summation of quantitative change amount；cFRepresent the weight parameter of setting；
6) coordination value x is evaluated according to equation (1)*Uncertainty σ*；The uncertainty σ and coordination value x of measurement of comparison value y*'s
Uncertainty σ*。
2. a kind of method of reduction power plant's data uncertainty based on data harmonization according to claim 1, feature
Be: redundant measurement information includes two class of spatial redundancy and time redundancy；Spatial redundancy refers to multiple measuring instrumentss to same
Measurand measures, and time redundancy refers to that instrument has carried out multiple measurement to the same measurand in different time.
3. a kind of method of reduction power plant's data uncertainty based on data harmonization according to claim 1, feature
Be: the measurand of participation therrmodynamic system EQUILIBRIUM CALCULATION FOR PROCESS described in step 1) includes flow, pressure, temperature, liquid level and function
Rate.
4. a kind of method of reduction power plant's data uncertainty based on data harmonization according to claim 1, feature
Be: the constraint equation of power plant system includes mass balance equation, energy-balance equation, heat transfer characteristic equation, pressure drop equation, effect
Rate equation and steam turbine through-current capability equation.
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| CN109190138B (en) * | 2018-06-22 | 2023-03-31 | 中南大学 | Method and device for coordinating evaporation process data in alumina production based on mutual information |
| CN109538311B (en) * | 2018-09-21 | 2020-08-04 | 浙江大学 | Real-time monitoring method for control performance of steam turbine in high-end power generation equipment |
| CN112650740B (en) * | 2020-12-24 | 2023-04-18 | 华电电力科学研究院有限公司 | Method and system for reducing uncertainty of online monitoring carbon emission data |
| CN114488798B (en) * | 2022-01-10 | 2024-01-12 | 国能蚌埠发电有限公司 | Method for monitoring performance and optimizing operation of secondary reheating unit based on data coordination |
| CN116559756B (en) * | 2023-07-03 | 2023-12-01 | 宁德时代新能源科技股份有限公司 | Uncertainty analysis method, device and system of charge and discharge measurement system |
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