CN106097151A - A kind of method reducing power plant's data uncertainty based on data harmonization - Google Patents
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Abstract
A kind of method reducing power plant's data uncertainty based on data harmonization, belongs to power plant's data and processes and modeling field.Its technical step includes: 1) suitable measurand and unmeasured variable in selecting system, and evaluates the uncertainty of measured value；2) construct the constraint equation of power plant thermal system, set up full working scope accurate model；3) the redundant measurement information in digging system, builds data harmonization problem；4) choose the data of steady-state operation from power plant data base, bring data harmonization problem into and calculate；5) uncertainty and the uncertainty of measured value of coordination value are contrasted.The method does not increase any extra cost, utilize restriction relation and the redundant measurement information of power plant system, reduce the impact of random error in measurement data, reduce the uncertainty of measurand, provide more excellent estimates of parameters, provide Data Source more accurately for power plant's modeling and performance monitoring.The method low cost, effective, be easily achieved and promote.
Description
Technical field
A kind of method reducing power plant's data uncertainty based on data harmonization, belongs to power plant's data and processes and modeling neck
Territory.
Background technology
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, its safe and reliable operation is particularly important.Performance monitoring technique is by extensively
It is applied to power plant to ensure its safe operation.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 that mistake occurs.But, due to the reason such as aging of measuring instruments,
The initial data that power plant's measurement obtains always comprises measurement error.Therefore, it is possible to reduce at the data of power plant's data uncertainty
Reason method is particularly important.Data coordinating method based on the metrical information of redundancy in system, the constraint of equipment in coupling system
Relation, reduces the impact of random error in measurement data, reduces measurand and the uncertainty of unmeasured variable, be given more excellent
System thermal force parameter estimated value.Data coordinating method is applied to chemical field the earliest, for improving the essence of quality control process
Degree.When data coordinating method is applied to power plant field, it is required for the feature of power plant system, in conjunction with electric power factory equipment model, enters
One step research reduces the data processing method of power plant's data uncertainty.
Summary of the invention
It is an object of the invention to provide a kind of method reducing power plant's data uncertainty based on data harmonization, it is possible to subtract
In few measurement data, the impact of random error, reduces measurand and the uncertainty of unmeasured variable, provides more excellent system
Thermal parameter estimated value, thus improve the effect of power plant's performance monitoring.
The technical scheme is that
A kind of method reducing power plant's data uncertainty based on data harmonization, is characterized in that the method includes as follows
Step:
1) according to the redundant measurement information in power plant system, the measurand x participating in therrmodynamic system EQUILIBRIUM CALCULATION FOR PROCESS is chosen1,
x2,…xnAnd unmeasured variable u1,u2,…up, it is designated as x and u respectively, wherein, n is total number of measurand, and p is unmeasured change
Total number of amount；
2) analyzed by semi-static information, choose the measurement data steady state operating condition from power plant data base, surveyed
Quantitative change amount x1,x2,…xnMeasured value y1,y2,…yn, it is designated as y；
3) calculate the standard deviation of each measurand measured value according to the following formula, evaluate the uncertainty of measurand, depend on
Secondary it is designated as σ1,σ2,…σn；
Wherein, i represents ith measurement variable, and i takes 1,2,3 ... n；N is the number of all operating modes；J represents jth group operating mode
Under measurement data, j takes 1,2,3 ... N；xi,jRepresent ith measurement variable measured value under jth group operating mode,Represent i-th
Individual measurand meansigma methods under all Test Cycles；
4) according to the model of equipment in power plant system, the constraint equation of power plant system is built；Constraint equation includes that equation is about
Bundle equation group f and inequality constraints equation group g two class；
F (x, u)=0 (2)
g(x,u)≤0 (3)
5) combine the measured value of measurand, the uncertainty of measured value, Constrained equations f and g, utilize object function
It is calculated the coordination value x of measurand x*Estimated value u with 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*；Uncertainty σ of measurement of comparison value y and coordination value
x*Uncertainty σ*。
Method of the present invention be technically characterized in that 1) redundant measurement information includes spatial redundancy and time redundancy two
Class；Spatial redundancy refers to that same measurand is measured by multiple measuring instruments, and time redundancy refers to that instrument is when difference
In same measurand has been carried out repetitive measurement；2) step 1) described in the measurement of participation therrmodynamic system EQUILIBRIUM CALCULATION FOR PROCESS
Variable includes flow, pressure, temperature, liquid level and power；3) constraint equation of power plant system comprises mass balance equation, energy is put down
Weighing apparatus equation, heat transfer characteristic equation, pressure drop equation, efficiency equation and steam turbine through-current capability equation.
In technical scheme, it is further characterized in that:
Step 5) described in object functionComprise the object function of least squares formalism or the target letter of strong robustness
Number；Shown in the object function of least squares formalism such as equation (6), the object function of strong robustness includes the mesh shown in equation (7)
Scalar functions:
Wherein, xi *Represent x*Middle i-th element, yiRepresent i-th element in y；Σ represents uncertain by measurand
The covariance matrix that degree is constituted；Subscript T represents the transposition of matrix；Subscript-1 represents inverse of a matrix；Represent from the 1st to the
The summation of n measurand；cFRepresent the weight parameter set.
The present invention has the following advantages and the technique effect of salience:
The inventive method is not on the premise of changing measuring instruments and equipment, based on the measurement letter of redundancy in power plant system
Breath, the restriction relation of equipment in coupling system, calculated by data harmonization and reduce the impact of random error in measurement data, fall
Low measurand and the uncertainty of unmeasured variable, provide more excellent system thermal force parameter estimated value, thus improve power plant's property
The effect that can monitor.This method low cost, reliability is high, effective, simple and convenient.
Accompanying drawing explanation
Fig. 1 is the steps flow chart schematic diagram of the inventive method.
Fig. 2 is the power plant model schematic diagram in embodiment.
Fig. 3 be in embodiment coordinate before and after condensing water flow comparison diagram.
Fig. 4 be embodiment is coordinated before and after the comparison diagram of uncertainty of temperature survey variable.
Fig. 5 be embodiment is coordinated before and after the comparison diagram of uncertainty of pressure measxurement variable.
Fig. 6 is relatively to coordinate the percentage ratio that the uncertainty of front unmeasured variable estimated value reduces in embodiment after coordination.
Detailed description of the invention
Below in conjunction with the accompanying drawings to the principle of the present invention be embodied as being further described.
1) according to the measuring point information of the power plant system shown in Fig. 2, it can be determined that system exists flow, pressure and temperature and becomes
The spatial redundancy metrical information of amount.Choose the measurand x participating in therrmodynamic system EQUILIBRIUM CALCULATION FOR PROCESS1,x2,…x99And unmeasured variable
u1,u2,…u82, including flow, temperature and pressure, it is designated as x and u respectively, wherein measurand has 99, and unmeasured variable is altogether
There are 82；
2) according to the choosing method of steady state data, the measurement data steady state operating condition is chosen from power plant data base.Surely
The choosing method of state data includes, according to VGB-S-009-S-O-00 standard, and the maximum change that output is interior at continuous 15 minutes
Change speed and should be less than 3%, or output, the isoparametric standard deviation of main steam flow should be less than 0.001.By measurand
x1,x2,…x99Measured value y1,y2,…y99It is designated as y；
3) calculate the standard deviation of each measurand measured value according to the following formula, evaluate the uncertainty of measurand, depend on
Secondary it is designated as σ1,σ2,…σ99；
Wherein, i represents ith measurement variable, and i takes 1,2,3 ... 99；N is the number of all operating modes；J represents jth group operating mode
Under measurement data, j takes 1,2,3 ... N；xi,jRepresent ith measurement variable measured value under jth group operating mode,Represent i-th
Individual measurand meansigma methods under all Test Cycles；
4) according to the model of equipment in power plant system, the constraint equation of power plant system is built, including mass balance equation, energy
Amount equilibrium equation and the characteristic equation of equipment；Constraint equation is divided into equality constraint equation group f and inequality constraints equation group g two
Class；Equality constraint equation totally 109, do not have inequality constraints equation in the present embodiment；
F (x, u)=0 (2)
g(x,u)≤0 (3)
In system, the number of unmeasured variable is 82, and the number of equality constraint equation is 109, therefore, and redundancy R of system
For 109-82=27.
5) combine the measured value of measurand and the uncertainty of measured value, meet Constrained equations (2) and the base of (3)
On plinth, carry out data harmonization calculating, utilize object functionIt is calculated the coordination value x of measurand*With estimating of unmeasured variable
Evaluation u*；
Wherein, x*For x1 *,x2 *,…x109 *；u*For u1 *,u2 *,…u82 *；
Object functionComprise the object function of least squares formalism or the object function of strong robustness；A conventional young waiter in a wineshop or an inn
Take advantage of shown in the object function such as equation (5) of form, be mathematically represented as solving satisfied one group of equation and inequality constraints condition
The optimization problem of the least square solution of equation group:
The object function of strong robustness comprises the object function shown in equation (6):
Wherein, xi *Represent x*Middle i-th element, yiRepresent i-th element in y；Σ represents uncertain by measurand
The covariance matrix that degree is constituted；Subscript T represents the transposition of matrix；Subscript-1 represents inverse of a matrix；Represent from the 1st to the
The summation of 109 measurands；cFRepresent the weight parameter set.
6) coordination value x is evaluated according to equation (1)*Uncertainty σ*；Uncertainty σ of measurement of comparison value y and coordination value
x*Uncertainty σ*。
Embodiment 1:
Below as a example by a 1000MW fired power generating unit therrmodynamic system, the present invention will be described.As in figure 2 it is shown, this electricity
The key equipment of factory's therrmodynamic system includes: boiler (Boiler), electromotor (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), low-pressure feed heater (LPFW5, LPFW6, LPFW7 and LPFW8), remove
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 is chosen, finally from these equipment
The number of measurand is 99, and the number of unmeasured variable is 82.
According to the measured value of above-mentioned measurand, calculate each measurement according to the equation (1) described in detailed description of the invention
The standard deviation of the measured value of variable, evaluates the uncertainty of measurand measured value.Owing to measurand number is more, here
The most specifically list measured value and the uncertainty of each measurand.
Mass balance equation, energy-balance equation and the characteristic equation of level group according to turbine system, sets up about survey
The equality constraint equation group of quantitative change amount and unmeasured variable, the number of constraint equation is 109, is designated as f successively1,f2,…f109.By
More in equation number, be given the most one by one, only enumerate the typical equality constraint equation of part.
The typical constraint equation of table 1. therrmodynamic system
The m of table 1, p, T, h represent flow, pressure, temperature, enthalpy respectively, and h_ins represents the enthalpy of isentropic procedure, KA generation
The table coefficient of heat transfer, eta represents the isentropic efficiency of level group, and Q represents heat exchange amount, and LMTD represents logarithmic mean temperature difference (LMTD), and dP represents pressure drop,
Subscript sat represents saturation history, and subscript LKG represents gas leakage.
Present case have chosen the data of steady-state operation from power plant PI data base, and choosing method is, according to VGB-S-009-
S-O-00 standard, output should be less than 3%, and output, main steam flow at continuous 15 minutes interior maximum rate of changes
The standard deviation of amount should be less than 0.001.
The Constrained equations of measured value, the uncertainty of measured value and system according to above-mentioned measurand, builds also
Solve data harmonization problem.In an embodiment, the object function choosing least squares formalism calculates, i.e. detailed description of the invention
In equation (5).Calculate coordination value and the estimated value of unmeasured variable obtaining measurand after terminating.According to specific embodiment party
Equation (1) in formula evaluates the uncertainty of coordination value, and the uncertainty of measurement of comparison value and the uncertainty of coordination value.
According to the result before and after data harmonization, draw Fig. 3-Fig. 6.Fig. 3 represents before and after coordinating in embodiment and condenses current
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 condense after coordinating
The uncertainty of the coordination value of discharge is ± 3.7kg/s, reduces 24% than before.
Fig. 4 represents the comparison diagram of the uncertainty of temperature survey variable before and after coordinating in embodiment.From this figure permissible
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%.It addition, the outlet temperature of feed-water heater
Uncertainty also reduces 10%～30%.
Fig. 5 be embodiment is coordinated before and after the comparison diagram of uncertainty of pressure measxurement variable.It can be seen that condensing in figure
Device outlet pressure (Cond_p_out1), feed pump outlet pressure (FWP_p_out1), boiler export pressure (Boiler_p_
Out1), low pressure (LP) cylinder second level outlet pressure (LPT2_p_out1), the uncertainty of 6# steam pumping pressure (EP6_p_out1) are divided
Do not reduce 91.7%, 60.3%, 8.2%, 9.1% and 6.1%.
Fig. 6 is in embodiment compared with before coordination, the percentage that after coordination, the uncertainty of unmeasured variable estimated value reduces
Ratio.It can be seen that compared with before coordination, after coordination, the uncertainty of unmeasured variable estimated value substantially reduces, and part in figure
The uncertainty of variable reduces by more than 30%.
Result above absolutely proves, the inventive method can significantly reduce the uncertain of measurand and unmeasured variable
Degree, and provide more excellent system thermal force parameter estimated value.
Claims (5)
1. the method reducing power plant's data uncertainty based on data harmonization, it is characterised in that the method is as follows
Carry out:
1) according to the redundant measurement information in power plant system, the measurand x participating in therrmodynamic system EQUILIBRIUM CALCULATION FOR PROCESS is chosen1, x2...
xnAnd unmeasured variable u1, u2... up, it is designated as x and u respectively, wherein, n is total number of measurand, and p is unmeasured variable
Total number；
2) analyzed by semi-static information, choose the measurement data steady state operating condition from power plant data base, obtain measuring change
Amount x1, x2... xnMeasured value y1, y2... yn, it is designated as y；
3) calculate the standard deviation of each measurand measured value according to the following formula, evaluate the uncertainty of measurand, remember successively
For σ1, σ2... σn；
Wherein, i represents ith measurement variable, and i takes 1,2,3...n；N is the number of all operating modes；J represents under jth group operating mode
Measurement data, j takes 1,2,3...N；xI, jRepresent ith measurement variable measured value under jth group operating mode,Represent i-th to survey
Quantitative change amount meansigma methods under all Test Cycles；
4) according to the model of equipment in power plant system, the constraint equation of power plant system is built；Constraint equation includes equality constraint side
Journey group f and inequality constraints equation group g two class；
F (x, u)=0 (2)
G (x, u)≤0 (3)
5) combine the measured value of measurand, the uncertainty of measured value, Constrained equations f and g, utilize object functionCalculate
Obtain the coordination value x of measurand x*Estimated value u with 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*；Uncertainty σ of measurement of comparison value y and coordination value x*'s
Uncertainty σ*。
A kind of method reducing power plant's data uncertainty based on data harmonization the most according to claim 1, its feature
It is: redundant measurement information includes spatial redundancy and time redundancy two class；Spatial redundancy refers to that multiple measuring instruments is to same
Measurand measures, and time redundancy refers to that instrument has carried out repetitive measurement to same measurand in different time.
A kind of method reducing power plant's data uncertainty based on data harmonization the most according to claim 1, its feature
Be: step 1) described in the measurand of participation therrmodynamic system EQUILIBRIUM CALCULATION FOR PROCESS include flow, pressure, temperature, liquid level and merit
Rate.
A kind of method reducing power plant's data uncertainty based on data harmonization the most according to claim 1, its feature
It is: the constraint equation of power plant system comprises mass balance equation, energy-balance equation, heat transfer characteristic equation, pressure drop equation, effect
Rate equation and steam turbine through-current capability equation.
A kind of method reducing power plant's data uncertainty based on data harmonization the most according to claim 1, its feature
Be: step 5) described in object functionComprise the object function of least squares formalism or the object function of strong robustness；
Shown in the object function of least squares formalism such as equation (6), the object function of strong robustness includes the target letter shown in equation (7)
Number:
Wherein, xi *Represent x*Middle i-th element, yiRepresent i-th element in y；Σ represents and is made up of the uncertainty of measurand
Covariance matrix；Subscript T represents the transposition of matrix；Subscript-1 represents inverse of a matrix；Represent and survey from the 1st to n-th
The summation of quantitative change amount；cFRepresent the weight parameter set.
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| CN114488798A (en) * | 2022-01-10 | 2022-05-13 | 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 |
| 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 |
| CN116559756A (en) * | 2023-07-03 | 2023-08-08 | 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 |
| 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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