CN116486949A - Method for calculating thickness of inner layer of oxide layer of martensitic heat-resistant steel under high-pressure steam - Google Patents
Method for calculating thickness of inner layer of oxide layer of martensitic heat-resistant steel under high-pressure steam Download PDFInfo
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- CN116486949A CN116486949A CN202310431335.8A CN202310431335A CN116486949A CN 116486949 A CN116486949 A CN 116486949A CN 202310431335 A CN202310431335 A CN 202310431335A CN 116486949 A CN116486949 A CN 116486949A
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- 229910000831 Steel Inorganic materials 0.000 title claims abstract description 42
- 239000010959 steel Substances 0.000 title claims abstract description 42
- 229910000734 martensite Inorganic materials 0.000 title claims abstract description 35
- 238000000034 method Methods 0.000 title claims abstract description 22
- 238000004364 calculation method Methods 0.000 claims description 10
- 230000003647 oxidation Effects 0.000 abstract description 16
- 238000007254 oxidation reaction Methods 0.000 abstract description 16
- 239000002184 metal Substances 0.000 abstract 1
- 229910052751 metal Inorganic materials 0.000 abstract 1
- 238000004088 simulation Methods 0.000 abstract 1
- 238000005259 measurement Methods 0.000 description 3
- 238000005260 corrosion Methods 0.000 description 2
- 230000007797 corrosion Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 239000000463 material Substances 0.000 description 2
- 239000004165 Methyl ester of fatty acids Substances 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000015572 biosynthetic process Effects 0.000 description 1
- 238000011156 evaluation Methods 0.000 description 1
- 238000004880 explosion Methods 0.000 description 1
- 238000010438 heat treatment Methods 0.000 description 1
- 230000007774 longterm Effects 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 230000001590 oxidative effect Effects 0.000 description 1
- 238000012887 quadratic function Methods 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
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- G—PHYSICS
- G16—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
- G16C—COMPUTATIONAL CHEMISTRY; CHEMOINFORMATICS; COMPUTATIONAL MATERIALS SCIENCE
- G16C60/00—Computational materials science, i.e. ICT specially adapted for investigating the physical or chemical properties of materials or phenomena associated with their design, synthesis, processing, characterisation or utilisation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
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- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
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- G—PHYSICS
- G16—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
- G16C—COMPUTATIONAL CHEMISTRY; CHEMOINFORMATICS; COMPUTATIONAL MATERIALS SCIENCE
- G16C20/00—Chemoinformatics, i.e. ICT specially adapted for the handling of physicochemical or structural data of chemical particles, elements, compounds or mixtures
- G16C20/10—Analysis or design of chemical reactions, syntheses or processes
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- G—PHYSICS
- G16—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
- G16C—COMPUTATIONAL CHEMISTRY; CHEMOINFORMATICS; COMPUTATIONAL MATERIALS SCIENCE
- G16C20/00—Chemoinformatics, i.e. ICT specially adapted for the handling of physicochemical or structural data of chemical particles, elements, compounds or mixtures
- G16C20/30—Prediction of properties of chemical compounds, compositions or mixtures
Abstract
The invention discloses a method for calculating the thickness of an inner layer of an oxide layer of a martensitic heat-resistant steel component under high-pressure steam. The method is characterized in that a formula is subjected to mathematical correction by means of a metal oxidation kinetic model and combining a large amount of actual operation of a power plant and laboratory simulation experiment data, and a method for calculating the thickness of an inner layer of an oxide layer of 9% Cr martensitic heat-resistant steel under high-pressure steam is obtained by using linear fitting, curve fitting and other methods. According to the invention, the thickness of the inner layer of the oxide layer of the 9% Cr martensitic heat-resistant steel under high-pressure steam can be conveniently and rapidly calculated according to the steam pressure and the running time, the result is accurate, the residual life of the high-temperature part can be evaluated without pipe cutting and measuring in the actual power plant running, the safe running of a unit is ensured, the cost is reduced, and the method has important industrial application value.
Description
Technical Field
The invention belongs to the technical field of martensitic heat-resistant steel, and particularly relates to a method for calculating the thickness of an inner layer of an oxide layer of martensitic heat-resistant steel under high-pressure steam.
Background
The martensitic heat-resistant steel comprises 9-12% Cr heat-resistant steel such as T/P91, T/P92, E911, T/P93 (9 Cr-3W-3 Co), T/P122, etc. The martensitic heat-resistant steel has excellent high-temperature creep strength, good heat conductivity and low linear expansion coefficient, and is widely applied to manufacturing important high-temperature parts such as main steam pipes, headers, superheaters, reheaters and the like of super (supercritical) units. With the increase of the working steam pressure of the unit, the high-temperature and high-pressure steam oxidation resistance of the martensitic heat-resistant steel becomes one of key factors affecting the service life of high-temperature components. In the long-term operation process of the high-temperature component, the effective wall thickness of the pipe wall is reduced due to the increase of the thickness of the oxide layer, and the stress of the pipe wall is correspondingly increased; meanwhile, the oxidation layer causes the heat conduction performance of the pipe wall to be poor, so that the average running temperature of the pipe wall is improved, the pipe wall is in an overtemperature service state for a long time, and when the pipe wall is developed to a certain degree, the pipe explosion accident finally occurs. Therefore, the service life of the part is estimated, early warning is achieved, and in order to reduce accidents, it is very necessary to predict the thickness of oxide layers of the parts serving under high-temperature and high-pressure steam, such as a superheater, a reheater and the like.
The oxide layer thickness is calculated by means of an oxidation kinetics model of heat-resistant steel under high-temperature high-pressure steam. The current steam oxidation kinetic model of the martensitic heat-resistant steel is mostly obtained based on experimental results of an oxidation weight increasing method, and the thickness of an oxide layer cannot be directly calculated. While there are few documents reporting a model of the high pressure steam oxidation kinetics of martensitic heat-resistant steel based on the increase in thickness of the oxide layer, the oxide layer comprises an inner layer and an outer layer, and these documents do not distinguish between the thickness of the outer layer and the thickness of the inner layer. The applicant found that only an increase in the thickness of the inner layer of the oxide layer resulted in a reduction in the wall thickness of the tube, affecting the life of the tube, and therefore the prediction of the thickness of the inner layer of the oxide layer was of more practical value.
Another major disadvantage with respect to oxidation kinetics of heat resistant steels is that current research is limited to the effect of time variation on oxide layer thickness at a fixed vapor pressure, without taking into account the effect of vapor pressure variation. In practice, the steam pressure in the superheater and reheater sections of the unit varies greatly, and there is a large difference in oxidation rate. Therefore, if the influence of the steam pressure variation is not considered, the accuracy of the prediction result will be seriously affected.
Disclosure of Invention
The invention aims to solve the problems in the prior art, and provides a method for calculating the thickness of the inner layer of the oxide layer of the 9% Cr martensitic heat-resistant steel pipe, which can conveniently and rapidly calculate the thickness of the inner layer of the oxide layer of the 9% Cr martensitic heat-resistant steel under high-pressure steam according to the operation time and the pressure, has accurate results, can realize the evaluation of the residual life of a high-temperature part without pipe cutting and measurement in the actual power plant operation, ensures the safe operation of a unit, reduces the cost and has important industrial application value.
In order to achieve the above purpose, the technical scheme provided by the invention is as follows:
the method for calculating the thickness of the inner layer of the oxide layer of the martensitic heat-resistant steel under high-pressure steam is provided, wherein the martensitic heat-resistant steel is 9% Cr heat-resistant steel, and the calculation formula of the thickness of the inner layer of the oxide layer under high-pressure steam is as follows:
Y=a+bt+cp+dt 2 +hpt+ip 2
wherein Y is the thickness of the inner layer of the oxide layer, and the unit is mu m; p is steam pressure in MPa; t is time, and the unit is h; a, b, c, d, h, i are fitting coefficients.
According to the scheme, the steam pressure range under the high-pressure steam is 5.0-25.0 MPa.
According to the scheme, the operation time under the high-pressure steam ranges from 1,000 to 150,000 hours.
According to the scheme, the temperature range of the high-pressure steam under the high-pressure steam is 550-650 ℃.
According to the scheme, the value of the fitting coefficient a is 22.21.
According to the scheme, the value of the fitting coefficient b is 0.0009334.
According to the scheme, the value of the fitting coefficient c is-0.8198.
According to the scheme, the value of the fitting coefficient d is-7.655×10 -10 。
According to the scheme, the fitting coefficient h has a value of 1.79×10 -5 。
The fitting coefficient i has a value of 0.1152 according to the scheme described above.
The application of the calculation method in the aspect of evaluating the service life of the martensitic heat-resistant steel pipe operated under high-pressure steam in a power plant is provided.
The thickness of the inner layer of the oxide layer of the 9% Cr martensitic heat-resistant steel of the high-temperature component can be calculated through the formula, so that the oxidation corrosion thinning degree of the inner wall of the high-temperature component can be reflected, the residual service life of the component can be evaluated, and the safe operation of a unit can be ensured.
The invention has the beneficial effects that:
1. the thickness of the inner layer of the oxidation layer of the martensitic heat-resistant steel under the condition of supercritical (ultra) high-pressure steam is researched firstly, the thickness of the oxidation layer of the martensitic heat-resistant steel with 9 percent Cr under the condition of high-temperature high-pressure steam can be conveniently and rapidly calculated according to the operation time and the steam pressure, the practical value is higher, the result is more accurate, the pipe cutting measurement is not needed in the actual power plant operation, the cost is saved, and the thickness of the inner layer of the oxidation layer of the pipe is calculated under the condition of not influencing the operation; the thickness of the inner layer of the oxide layer can reflect the oxidation corrosion thinning degree of the inner wall of the martensitic heat-resistant steel pipe so as to evaluate the residual life of the component, ensure the safe operation of the unit and have important industrial application value.
2. The calculation method provided by the invention takes account of two factors of steam pressure and operation time, which have great influence on the thickness of the oxide layer, and the error can be controlled within 8%, so that the calculation result has high accuracy and important reference value.
Drawings
FIG. 1 is a graph of the thickness Y of the inner layer of the oxide layer versus the selected pressure p and time t in an embodiment of the present invention.
FIG. 2 is a three-time fitting prediction graph of the actual data of the thickness Y of the inner layer of the oxide layer and the selected pressure p and time t in the embodiment of the invention.
Detailed Description
The technical scheme of the invention is further explained by the specific examples.
Relationship between oxide layer inner layer thickness Y and vapor pressure p
In order to explore the influence of pressure p and time t on the formation of a high-temperature heating surface oxide layer of a power station boiler, experimental data of the inner layer thickness of the 9% Cr martensitic heat-resistant steel oxide layer under different times t and different pressures p are screened, and the results are shown in the following table:
TABLE 1 inner layer thickness of 9% Cr martensitic heat resistant steel oxide layer at different times and different steam pressures
Time t/h | Steam pressure p/Mpa | Thickness of inner layer of oxide layer Y/. Mu.m |
1169.916 | 5.0 | 35.422 |
1466.175 | 15.0 | 48.916 |
1767.934 | 20.0 | 69.157 |
1228.343 | 25.0 | 107.108 |
10018.521 | 5.0 | 42.169 |
10031.581 | 15.0 | 58.193 |
10048.766 | 20.0 | 79.277 |
10084.509 | 25.0 | 123.133 |
50267.199 | 5.0 | 75.060 |
50004.621 | 15.0 | 102.892 |
50034.178 | 20.0 | 139.157 |
50081.607 | 25.0 | 197.349 |
100222.328 | 5.0 | 117.229 |
100264.946 | 15.0 | 169.518 |
100308.250 | 20.0 | 222.651 |
100064.232 | 25.0 | 273.253 |
150177.458 | 5.0 | 159.398 |
150242.071 | 15.0 | 238.675 |
150270.941 | 20.0 | 274.096 |
122611.575 | 25.0 | 287.590 |
The data are plotted to obtain a plot of the thickness Y of the oxide layer inner layer shown in fig. 1 versus the selected pressure p and time t.
It can be found that a binary quadratic function relationship exists between the thickness Y, the pressure p and the time t, and the following formula is obtained through three-dimensional nonlinear surface fitting:
Y=a+bt+cp+dt 2 +hpt+ip 2 (1)
step 1: solving coefficients i, h and c containing p terms
When a specific time t is selected, the term containing t is a constant value, the equation (1) is converted into a parabolic equation about p, and the coefficients i, h and c containing p terms can be obtained by fitting after substituting data.
i=0.1152±0.03315
h=1.79×10 -5 ±4.74×10 -6
c=-0.8198±1.0842
Step 2: solving for coefficients d, b containing t terms
Similarly, when a specific pressure p is selected, the term containing p is a constant value, the equation (1) is converted into a parabolic equation about t, and the coefficient d and b containing the term t can be obtained by fitting after substituting the data.
d=-7.655×10 -10 ±7.7735×10 -10
b=0.0009334±0.0001543
Step 3: after 5 coefficients are determined, the coefficient a is finally determined. Substituting the obtained coefficient into formula (1), and substituting all data into the obtained product to perform three-dimensional nonlinear surface fitting to obtain a coefficient a=22.21±9.65. Therefore, formula (1) is rewritten as:
Y=22.21 + 0.0009334t + (-0.8198p)+(-7.655×10 -10 t 2 )+1.79×10 -5 tp+ 0.1152p 2 (2)
step 4: the fitting was repeated for fig. 1, and the error rate of each coefficient in equation (2) was verified. And (3) constructing a curved surface graph by using the expression of the formula (2), substituting all data into the graph, and if the data points basically fall on the curved surface, basically conforming the predicted result of the formula (2) to the actual result. As each coefficient value has a certain fluctuation range, 3 times of fitting are performed, so that the accuracy is improved, and the error is reduced. Finally, a three-time repeated fitting prediction graph of the actual data shown in fig. 2 is obtained. It can be found that the data points under different working conditions basically fall on 3 predicted curved surfaces (boundaries), the average error rate is 5%, and the relation between the thickness Y and the pressure p and the time t under the actual working conditions basically accords with the function change rule described by the formula (2), and then each coefficient is determined as follows:
a=22.21
b=0.0009334
c=-0.8198
d=-7.655×10 -10
h=1.79×10 -5
i=0.1152
finally, the fitting formula of the thickness Y of the inner layer of the oxide layer and the steam pressure p is obtained as follows:
Y=22.21 + 0.0009334t + (-0.8198p)+(-7.655×10 -10 t 2 )+1.79×10 -5 tp+ 0.1152p 2 (3)
in the above formula, the unit of time t is h, the unit of vapor pressure p is MPa, and the unit of thickness Y of the oxide layer inner layer is μm.
Example 1
The calculation method related by the invention is compared with the T91 oxidation experimental result.
After the T91 steel is oxidized for about 1,457 hours under the steam pressure of 25MPa and measured by Nishimura et al, the thickness of the inner layer of the oxide layer is about 71 mu m, experimental conditions are substituted into a formula (3) provided by the embodiment of the invention, the thickness of the inner layer of the oxide layer is about 75.7171 mu m, and the error percentage is 6.6%.
Example 2
The calculation method related by the invention is compared with the T92 oxidation experimental result.
The Muraki et al measured that the thickness of the inner layer of the oxide layer was about 119 μm after oxidizing the T92 steel for about 31,010h at a steam pressure of 25MPa, and calculated by substituting experimental conditions into the formula (3) provided in the embodiment of the present invention, the thickness of the inner layer of the oxide layer was about 115.8006 μm, and the error percentage was 2.6%.
Example 3
The calculation method is applied to an actual power plant environment.
The steam pressure of an ultra-supercritical unit used in a certain power plant is 19.2MPa, a pipeline is made of T91 material, the thickness of an inner layer of an oxide layer in the pipeline is measured to be 65 mu m after the pipeline runs for about 8 and 911h, and the running parameters are substituted into a formula (3) provided by the embodiment of the invention to calculate the thickness of the inner layer of the oxide layer to be 60.2564 mu m, and the error percentage is 7.2%.
Example 4
The calculation method is applied to an actual power plant environment.
A certain power station boiler superheater pipeline is made of a T91 material, the steam pressure is 10MPa, the thickness of an inner layer of an oxide layer in a pipe is measured to be about 32 mu m after the operation is carried out for about 4,000 hours, the operation parameters are substituted into a formula (3) provided by the embodiment of the invention, the thickness of the inner layer of the oxide layer is calculated to be about 29.9694 mu m, and the error percentage is 6.3%.
The above examples all show that the thickness of the inner layer of the 9% Cr martensitic steel oxide layer calculated by the method of the invention is in good agreement with the actual measurement result, and the error is within 8%.
The technical scheme of the invention is not limited to the embodiments, and all technical schemes obtained by adopting equivalent substitution modes fall within the scope of the invention.
Claims (10)
1. A method for calculating the thickness of an inner layer of an oxide layer of martensitic heat-resistant steel under high-pressure steam is characterized by comprising the following steps: the martensitic heat-resistant steel is 9% Cr heat-resistant steel, and the calculation formula of the thickness of the inner layer of the oxide layer under high-pressure steam is as follows:
Y=a+bt+cp+dt 2 +hpt+ip 2
wherein Y is the thickness of the inner layer of the oxide layer, and the unit is mu m; p is steam pressure in MPa; t is time, and the unit is h; a, b, c, d, h, i are fitting coefficients.
2. The method for calculating the thickness of the inner layer of the oxide layer of the martensitic heat-resistant steel under high-pressure steam according to claim 1, characterized in that: the steam pressure ranges from 5.0MPa to 25.0MPa, and the time ranges from 1,000 h to 150,000h.
3. The method for calculating the thickness of the inner layer of the oxide layer of the martensitic heat-resistant steel under high-pressure steam according to claim 1, characterized in that: the temperature range of the high-pressure steam is 550-650 ℃.
4. The method for calculating the thickness of the inner layer of the oxide layer of the martensitic heat-resistant steel under high-pressure steam according to claim 1, characterized in that: the value of the fitting coefficient a is 22.21.
5. The method for calculating the thickness of the inner layer of the oxide layer of the martensitic heat-resistant steel under high-pressure steam according to claim 1, characterized in that: the value of the fitting coefficient b is 0.0009334.
6. The method for calculating the thickness of the inner layer of the oxide layer of the martensitic heat-resistant steel under high-pressure steam according to claim 1, characterized in that: the value of the fitting coefficient c is-0.8198.
7. The method for calculating the thickness of the inner layer of the oxide layer of the martensitic heat-resistant steel under high-pressure steam according to claim 1, characterized in that: the value of the fitting coefficient d is-7.655 multiplied by 10 -10 。
8. The method for calculating the thickness of the inner layer of the oxide layer of the martensitic heat-resistant steel under high-pressure steam according to claim 1, characterized in that: the value of the fitting coefficient h is 1.79×10 -5 。
9. The method for calculating the thickness of the inner layer of the oxide layer of the martensitic heat-resistant steel under high-pressure steam according to claim 1, characterized in that: the fitting coefficient i value is 0.1152.
10. Use of the calculation method of claim 1 for assessing the life of martensitic heat-resistant steel components operating under high pressure steam in a power plant.
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