CN115905784A - Method for calculating cooling air quantity based on hearth internal temperature - Google Patents

Method for calculating cooling air quantity based on hearth internal temperature Download PDF

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CN115905784A
CN115905784A CN202111117315.0A CN202111117315A CN115905784A CN 115905784 A CN115905784 A CN 115905784A CN 202111117315 A CN202111117315 A CN 202111117315A CN 115905784 A CN115905784 A CN 115905784A
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temperature
furnace
cooling air
parameter
determining
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泥卫东
程鹏
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Sino Environment Protection Engineering Technology Co ltd
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Sino Environment Protection Engineering Technology Co ltd
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Abstract

Embodiments of the present disclosure provide methods, apparatus, devices, and computer-readable storage media for calculating an amount of cooling air based on a temperature inside a furnace. The method comprises obtaining a furnace wall measurement temperature; determining the core temperature from a predetermined functional relationship between the furnace wall temperature and the core temperature; and determining the required cooling air quantity according to the central temperature and a pre-established regression model. In this way, accurate measurement of the cooling air quantity is realized, and the economic cost is greatly saved.

Description

Method for calculating cooling air quantity based on hearth internal temperature
Technical Field
Embodiments of the present disclosure relate generally to the field of precombustor ventilation cooling, and more particularly, to methods, apparatuses, devices, and computer-readable storage media for calculating cooling air amount based on furnace interior temperature.
Background
In the process of cooperatively treating the solid waste in the cement kiln, the retention time required by combustion of the solid waste can be effectively increased by applying the pre-combustion furnace, the burnout rate of the solid waste is improved, and the influence on the cement kiln system is reduced.
The working temperature in the pre-combustion furnace can reach 1100 ℃, and if the temperature of internal parts in the furnace is too high, a series of problems of thermal stability and thermal strength can be caused, the service life of high-temperature parts is shortened, and the operation safety is threatened.
In industry, various refractory materials are generally used as heat insulation layers, and air is used as a cooling medium to carry out convection cooling on high-temperature components. However, since the highest temperature region of the high-temperature component is located inside the furnace, the temperature of the high-temperature component cannot be directly measured, and therefore, the cooling air volume corresponding to the highest temperature region can only be given by a technician according to experience, and the value of the cooling air volume is often much higher than an actually required value, which causes resource waste.
Disclosure of Invention
According to an embodiment of the present disclosure, a solution for calculating the amount of cooling air based on the temperature inside the furnace is provided.
In a first aspect of the present disclosure, a method of calculating an amount of cooling air based on a temperature inside a furnace is provided. The method comprises the following steps:
obtaining a furnace wall measurement temperature;
determining the central temperature according to a predetermined functional relationship between the furnace wall temperature and the central temperature;
and determining the required cooling air quantity according to the central temperature and a pre-established regression model.
Further, the functional relationship is determined by:
acquiring a plurality of groups of temperature measurement experiment data; the temperature measurement experimental data comprise furnace wall temperature experimental data and furnace center temperature experimental data;
and fitting the multiple groups of temperature measurement experimental data through a preset function, and predicting the functional relation between the actual furnace wall measurement temperature and the furnace center temperature.
Further, the preset function is a cubic function.
Further, the regression model is constructed by:
obtaining a plurality of test parameters, analyzing the test parameters, and determining a parameter X with the highest influence on the temperature in the furnace;
and establishing a regression model describing the functional relation between the parameter X and the temperature based on the parameter X.
Further, the analyzing the plurality of test parameters and determining the parameter X having the highest influence on the temperature in the furnace comprises:
performing thermal field and flow field simulation on the plurality of test parameters;
and performing visual analysis and/or variance analysis on the simulation result, and determining a parameter X with the highest influence on the temperature in the furnace.
Further, the establishing a regression model describing a functional relationship between the parameter X and the temperature based on the parameter X includes:
and establishing a regression model for describing the functional relation between the parameter X and the temperature by taking the parameter X as a variable.
In a second aspect of the present disclosure, an apparatus for calculating an amount of cooling air based on a temperature inside a furnace is provided. The device includes:
the acquisition module is used for acquiring the measured temperature of the furnace wall;
a determination module for determining the core temperature from a predetermined functional relationship between the furnace wall temperature and the core temperature;
and the calculation module is used for determining the required cooling air quantity according to the central temperature and a pre-established regression model.
In a third aspect of the disclosure, an electronic device is provided. The electronic device includes: a memory having stored thereon a computer program and a processor implementing the method as described above when executing the program.
In a fourth aspect of the present disclosure, a computer-readable storage medium is provided, having stored thereon a computer program which, when executed by a processor, performs the method according to the first aspect of the present disclosure.
According to the method for calculating the cooling air amount based on the internal temperature of the hearth, the measured temperature of the furnace wall is obtained; determining the center temperature according to a predetermined functional relationship between the furnace wall temperature and the center temperature: and the required cooling air quantity is determined according to the central temperature and a pre-established regression model, so that the accurate measurement of the cooling air quantity is realized, and the economic cost is greatly saved.
It should be understood that what is described in this summary section is not intended to define key or essential features of the embodiments of the disclosure, nor is it intended to be used to limit the scope of the disclosure. Other features of the present disclosure will become apparent from the following description.
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The above and other features, advantages and aspects of embodiments of the present disclosure will become more apparent upon consideration of the following detailed description, taken in conjunction with the accompanying drawings. In the drawings, like or similar reference characters designate like or similar elements, and wherein:
FIG. 1 shows a flow chart of a method of calculating an amount of cooling air based on a temperature inside a furnace according to an embodiment of the present disclosure;
FIG. 2 illustrates a discrete schematic of cooling air quantity versus temperature in accordance with an embodiment of the present disclosure;
FIG. 3 shows a fitted schematic of cooling air quantity versus temperature according to an embodiment of the present disclosure
FIG. 4 shows a discrete schematic of furnace wall temperature versus core temperature according to an embodiment of the disclosure;
FIG. 5 shows a fitted schematic of furnace wall temperature and core temperature according to an embodiment of the present disclosure;
FIG. 6 shows a block diagram of an apparatus for calculating an amount of cooling air based on a temperature inside a furnace according to an embodiment of the present disclosure;
FIG. 7 illustrates a block diagram of an exemplary electronic device capable of implementing embodiments of the present disclosure.
Detailed Description
To make the objects, technical solutions and advantages of the embodiments of the present disclosure more clear, the technical solutions of the embodiments of the present disclosure will be described clearly and completely with reference to the drawings in the embodiments of the present disclosure, and it is obvious that the described embodiments are some, but not all embodiments of the present disclosure. All other embodiments, which can be derived by a person skilled in the art from the embodiments disclosed herein without making any creative effort, shall fall within the protection scope of the present disclosure.
In addition, the term "and/or" herein is merely an association relationship describing an associated object, and means that there may be three relationships, e.g., a and/or B, which may mean: a exists alone, A and B exist simultaneously, and B exists alone. In addition, the character "/" herein generally indicates that the former and latter associated objects are in an "or" relationship.
FIG. 1 shows a flow chart of a method 100 of calculating an amount of cooling air based on a temperature inside a furnace according to an embodiment of the present disclosure. The method 100 comprises:
and S110, acquiring the furnace wall measured temperature.
Wherein, in the present disclosure, the furnace wall generally refers to the wall of a cement kiln pre-combustion furnace, i.e., the temperature of the end of the high temperature component within the furnace, e.g., the axis extending out of the furnace wall;
the core temperature generally refers to the temperature of the middle of a high temperature component in the precombustor (located in the furnace, requiring cooling), for example, the temperature of the middle of the shaft of a high temperature component requiring cooling air cooling.
It should be noted that the core temperature is different from the core temperature in the furnace; the furnace core temperature is typically 1100 degrees.
In some embodiments, the real-time measured temperature of the furnace wall may be obtained by a temperature sensor or the like.
S120, determining the central temperature according to the function relation of the furnace wall temperature and the central temperature which is determined in advance.
In some embodiments, the functional relationship may be determined by:
obtaining multiple groups of wall temperature experimental data and central temperature experimental data, such as 10 groups, by means of computer simulation, historical data analysis, big data analysis and/or manual experience;
as shown in FIG. 2, a cubic function y = ax + bx + cx was selected based on the tendency of the experimental data of the furnace wall temperature and the experimental data of the center temperature 2 +dx 3 Fitting the experimental data to obtain parameters a = -67.252, b =2.754, c = -0.00375, and d =2.064E-6;
further, based on the above parameters, a regression equation is obtained:
y=0.000002064x 3 -0.00375x 2 +2.754x-67.252
based on the regression equation, the functional relationship of the wall temperature to the center temperature is predicted, i.e., discrete data of the wall temperature to the center temperature are fitted to a curve as in FIG. 3.
In some embodiments, a (predicted) core temperature is determined based on the furnace wall temperature obtained in step S110 and a functional relationship between the furnace wall temperature and the core temperature; for example, when the measured temperature of the end portion of the high-temperature part in the furnace (e.g., the shaft extending out of the furnace wall) is 200 degrees, the temperature of the high-temperature part in the precombustion furnace (e.g., the middle portion of the shaft to be cooled by the cooling air) is 350 degrees.
In fig. 2 and 3, the end temperature is equal to the furnace wall temperature, that is, the temperature can be directly measured.
And S130, determining the amount of the required cooling air according to the central temperature and a pre-established regression model.
In some embodiments, the regression model may be established by:
obtaining a plurality of test parameters which have great influence on the temperature of the pre-combustion furnace, preferably, the test parameters can be selected from cooling air flow (A), refractory material thickness (B) and refractory material heat conductivity coefficient (C); the test parameters can be determined through product specifications, manual experience and/or historical data;
the three measurement parameters are taken as influence factors of an orthogonal experiment, and each factor can be set to three levels to obtain an orthogonal experiment factor level table shown in table 1:
Figure BDA0003275780030000061
TABLE 1
Further, an L9 (34) orthogonal table is selected to carry out 3-factor 3-level orthogonal test, the central temperature (high-temperature component temperature) is used as a performance index for measuring the quality of the design scheme, and the primary and secondary sequence of the influence of each factor on the performance index is found out;
specifically, the thermal field and the flow field of the parameters can be simulated by adopting fluent software to obtain the result of the simulation
The simulation results shown in table 2;
Figure BDA0003275780030000071
TABLE 2
Furthermore, by referring to the mean value of each horizontal test index value corresponding to each factor, the maximum influence of the cooling air quantity on the temperature of the high-temperature part, the second order of the heat conductivity coefficient of the refractory material and the minimum influence of the thickness of the refractory material can be obtained through visual analysis;
furthermore, the influence of each test parameter on the temperature of the high-temperature component can be judged by an analysis of variance method, referring to table 3, the F ratio of the factor a is 2.519, which is much higher than the factor B (0.080) and the factor C (0.401), so the influence of the cooling air amount on the test result is the most significant and can be marked as "+; the influence of the thermal conductivity of the refractory material is secondary, and the influence of the thickness of the refractory material is minimal (consistent with the result of visual analysis);
Figure RE-GDA0003433509280000072
note: * Indicating significant difference (p < 0.05)
TABLE 3
Further, according to the test result, the cooling air quantity is taken as a variable; the thickness of the refractory material is 150mm; the value of the thermal conductivity coefficient of the refractory material is 2.5W (m.K) -1 (ii) a Establishing a regression model for researching the functional relation between the cooling effect and the regression model;
obtaining a change trend chart of the cooling air quantity and the central temperature as shown in fig. 4 through historical data, computer simulation and other modes, and selecting a function y = ax according to the change trend b Fitting the data;
in particular, for y = ax b Carrying out logarithmic transformation to obtain lny = lna + blnx; let lny = y ', lna = a ', lnx = x '; transforming the original equation into a linear equation of y ' = a ' + bx '; and identifying the parameters a and b by using a least square method through the following formula:
Figure BDA0003275780030000081
i.e., a =7.212; b = -0.352, and reducing a linear regression equation y '=7.212-0.352x' into a curve equation of y with respect to x according to an inverse process of linear transformation to obtain:
y=1355.456x -0.352
and fitting the curve equation with the measured point data in the figure 4 to obtain a curve as shown in the figure 5.
In some embodiments, based on the curve, a desired amount of cooling air corresponding to the center temperature is determined.
An application scenario according to a specific embodiment of the present invention is given below:
0Cr25Ni20 (heat-resistant stainless steel) stainless steel has good high temperature resistance, high strength and creep strength at high temperature, and the maximum service temperature is 1200 ℃. However, when the temperature exceeds 800 ℃, the part begins to soften, and the allowable stress (the maximum stress value borne by the component) begins to continuously decrease, so that the temperature of the part is ensured not to be higher than 800 ℃ under the working condition. The curve (model) obtained according to the present disclosure can quickly find that the cooling air amount x is 4.4726m when y =800 ℃ 3 H (optimum value of cooling air amount).
According to the embodiment of the disclosure, the following technical effects are achieved:
the temperature of each point of a high-temperature component in the furnace is indirectly monitored in real time through the measured temperature (capable of being directly measured) of the fireplace, meanwhile, the cooling air amount corresponding to the central temperature can be accurately and quickly obtained according to the central temperature, the economic cost is saved, meanwhile, the working efficiency is greatly improved, and the method has important significance on the design and the actual operation of the pre-combustion furnace.
It should be noted that for simplicity of description, the above-mentioned method embodiments are described as a series of acts or combination of acts, but those skilled in the art will recognize that the present disclosure is not limited by the order of acts, as some steps may occur in other orders or concurrently in accordance with the disclosure. Further, those skilled in the art should also appreciate that the embodiments described in the specification are exemplary embodiments and that the acts and modules referred to are not necessarily required for the disclosure.
The above is a description of embodiments of the method, and the following is a further description of the embodiments of the apparatus.
FIG. 6 shows a block diagram of an apparatus 600 for calculating an amount of cooling air based on a temperature inside a furnace according to an embodiment of the present disclosure. As shown in fig. 6, the apparatus 600 includes:
an obtaining module 610 for obtaining a furnace wall measurement temperature;
a determination module 620 for determining the core temperature from a predetermined functional relationship between the furnace wall temperature and the core temperature;
a calculating module 630, configured to determine the required cooling air amount according to the central temperature and a pre-established regression model.
It can be clearly understood by those skilled in the art that, for convenience and simplicity of description, the specific working process of the described module may refer to the corresponding process in the foregoing method embodiment, and details are not described herein again.
FIG. 7 shows a schematic block diagram of an electronic device 700 that may be used to implement embodiments of the present disclosure. As shown, device 700 includes a Central Processing Unit (CPU) 701 that can perform various appropriate actions and processes in accordance with computer program instructions stored in a Read Only Memory (ROM) 702 or computer program instructions loaded from a storage unit 708 into a Random Access Memory (RAM) 703. In the RAM 703, various programs and data required for the operation of the device 700 can also be stored. The CPU 701, ROM 702, and RAM 703 are connected to each other via a bus 704. An input/output (I/O) interface 705 is also connected to bus 704.
A number of components in the device 700 are connected to the I/O interface 705, including: an input unit 706 such as a keyboard, a mouse, or the like; an output unit 707 such as various types of displays, speakers, and the like; a storage unit 708 such as a magnetic disk, optical disk, or the like; and a communication unit 709 such as a network card, modem, wireless communication transceiver, etc. The communication unit 709 allows the device 700 to exchange information/data with other devices via a computer network, such as the internet, and/or various telecommunication networks.
The processing unit 701 performs the various methods and processes described above, such as the method 100. For example, in some embodiments, the method 100 may be implemented as a computer software program tangibly embodied in a machine-readable medium, such as the storage unit 708. In some embodiments, part or all of the computer program can be loaded onto and/or installed onto the device 700 via the ROM 702 and/or the communication unit 709. When the computer program is loaded into the RAM 703 and executed by the CPU 701, one or more steps of the method 100 described above may be performed. Alternatively, in other embodiments, the CPU 701 may be configured to perform the method 100 in any other suitable manner (e.g., by way of firmware).
The functions described herein above may be performed, at least in part, by one or more hardware logic components. For example, without limitation, exemplary types of hardware logic components that may be used include: a Field Programmable Gate Array (FPGA), an Application Specific Integrated Circuit (ASIC), an Application Specific Standard Product (ASSP), a system on a chip (SOC), a load programmable logic device (CPLD), and the like.
Program code for implementing the methods of the present disclosure may be written in any combination of one or more programming languages. These program codes may be provided to a processor or controller of a general purpose computer, special purpose computer, or other programmable data processing apparatus, such that the program codes, when executed by the processor or controller, cause the functions/acts specified in the flowchart and/or block diagram to be performed. The program code may execute entirely on the machine, partly on the machine, as a stand-alone software package partly on the machine and partly on a remote machine or entirely on the remote machine or server.
In the context of this disclosure, a machine-readable medium may be a tangible medium that can contain, or store a program for use by or in connection with an instruction execution system, apparatus, or device. The machine-readable medium may be a machine-readable signal medium or a machine-readable storage medium. A machine-readable medium may include, but is not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any suitable combination of the foregoing. More specific examples of a machine-readable storage medium would include an electrical connection based on one or more wires, a portable computer diskette, a hard disk, a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a compact disc read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing.
Further, while operations are depicted in a particular order, this should be understood as requiring that such operations be performed in the particular order shown or in sequential order, or that all illustrated operations be performed, to achieve desirable results. Under certain circumstances, multitasking and parallel processing may be advantageous. Likewise, while several specific implementation details are included in the above discussion, these should not be construed as limitations on the scope of the disclosure. Certain features that are described in the context of separate embodiments can also be implemented in combination in a single implementation. Conversely, various features that are described in the context of a single implementation can also be implemented in multiple implementations separately or in any suitable subcombination.
Although the subject matter has been described in language specific to structural features and/or methodological acts, it is to be understood that the subject matter defined in the appended claims is not necessarily limited to the specific features or acts described above. Rather, the specific features and acts described above are disclosed as example forms of implementing the claims.

Claims (10)

1. A method of calculating an amount of cooling air based on a temperature inside a furnace, comprising:
obtaining a furnace wall measured temperature;
determining the central temperature according to a predetermined functional relationship between the furnace wall temperature and the central temperature;
and determining the required cooling air quantity according to the central temperature and a pre-established regression model.
2. The method of claim 1, wherein the functional relationship is determined by:
acquiring a plurality of groups of temperature measurement experiment data; the temperature measurement experimental data comprises furnace wall temperature experimental data and furnace center temperature experimental data;
and fitting the multiple groups of temperature measurement experimental data through a preset function, and predicting the functional relation between the actual furnace wall measurement temperature and the furnace center temperature.
3. The method of claim 2, wherein the predetermined function is a cubic function.
4. The method of claim 3, wherein the regression model is constructed by:
obtaining a plurality of test parameters, analyzing the test parameters, and determining a parameter X with the highest influence on the temperature in the furnace;
and establishing a regression model describing the functional relation between the parameter X and the temperature based on the parameter X.
5. The method of claim 4, wherein said analyzing said plurality of test parameters and determining a parameter X that has the highest impact on furnace temperature comprises:
performing thermal field and flow field simulation on the plurality of test parameters;
and (3) carrying out visual analysis and/or variance analysis on the simulation result, and determining the parameter X with the highest influence on the temperature in the furnace.
6. The method of claim 5, wherein establishing a regression model describing a functional relationship between the parameter X and temperature based on the parameter X comprises:
and establishing a regression model for describing the functional relationship between the parameter X and the temperature by taking the parameter X as a variable.
7. An apparatus for calculating an amount of cooling air based on a temperature inside a furnace, comprising:
the acquisition module is used for acquiring the measured temperature of the furnace wall;
the determining module is used for determining the central temperature according to a predetermined functional relation between the furnace wall temperature and the central temperature;
and the calculation module is used for determining the required cooling air quantity according to the central temperature and a pre-established regression model.
8. The apparatus of claim 7, wherein the functional relationship is determined by:
acquiring a plurality of groups of temperature measurement experimental data; the temperature measurement experimental data comprise furnace wall temperature experimental data and furnace center temperature experimental data;
and fitting the multiple groups of temperature measurement experimental data through a preset function, and predicting the functional relation between the actual furnace wall measurement temperature and the furnace center temperature.
9. An electronic device comprising a memory and a processor, the memory having stored thereon a computer program, wherein the processor, when executing the program, implements the method of any of claims 1-6.
10. A computer-readable storage medium, on which a computer program is stored, which program, when being executed by a processor, is adapted to carry out the method of any one of claims 1 to 6.
CN202111117315.0A 2021-09-23 2021-09-23 Method for calculating cooling air quantity based on hearth internal temperature Pending CN115905784A (en)

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