Method for evaluating uncertainty of total sulfur measurement result

Abstract

The invention relates to a total sulfur measurement result uncertainty evaluation method and electronic equipment, and the evaluation method sequentially comprises the following steps: establishing a measurement model according to the measurement principle of coulometric titration, and determining the source of uncertainty; evaluating the uncertainty component according to the uncertainty source; according to the evaluation result of the uncertainty component, synthesizing standard uncertainty; expanding the obtained standard uncertainty to obtain an uncertainty evaluation result of the total sulfur measurement result; the uncertainty sources comprise repeatability uncertainty u (rep), weighing uncertainty u (m), power consumption uncertainty u (Q) and instrument calibration uncertainty u (calibration). The evaluation method provided by the invention can comprehensively evaluate the uncertainty of the total sulfur content result measured by the coulometric titration method, the uncertainty source analysis is more comprehensive, and the uncertainty evaluation difficulty is reduced.

Description

Technical Field

[0001] The invention relates to the field of measurement technology, and in particular to a method for measuring total sulfur content, and in particular to a method for evaluating the uncertainty of total sulfur measurement results. Background Art

[0002] The uncertainty of a measurement result characterizes the dispersion of values ​​that can be reasonably assigned to the measured value. In addition to giving the best estimate of the measured value, the parameter associated with the measurement result should also give the uncertainty of the measurement result.

[0003] The total sulfur content in coal is one of the important indicators for evaluating coal quality. There are many methods for determining the total sulfur in coal. For example, GB / T214-2007 stipulates that the total sulfur content in coal should be determined by the Ashkar method, coulometric titration method and high-temperature combustion neutralization method. Among them, the coulometric titration method for determining the total sulfur content in coal is simple and fast, and is currently one of the most commonly used methods in coal quality analysis. With the continuous development of coal trade and increasingly stringent environmental emission requirements, the evaluation of the uncertainty of measurement results has become more and more widely used. The evaluation of the uncertainty of the determination of total sulfur in coal by coulometric titration has important practical significance.

[0004] Establishing a measurement model is the key to measurement uncertainty. The methods for establishing a measurement model in the prior art include: ① Establishing a measurement model according to the calculation formula of GB / T214, but in actual operation, the coulomb sulfur meter does not display the measurement results according to the standard formula, but directly displays the mass fraction of total sulfur in the coal; ② Establishing a measurement model according to the instrument display results, but it is often easy to omit the uncertainty components that affect the measurement results.

[0005] Therefore, it is necessary to provide a method for evaluating the uncertainty of total sulfur measurement results with accurate evaluation results. Summary of the invention

[0006] The present invention provides an evaluation method for the uncertainty of total sulfur measurement results and an electronic device. The evaluation method provided by the present invention can comprehensively evaluate the uncertainty of the total sulfur content measurement result by coulometric titration method, the uncertainty source analysis is more comprehensive, and the difficulty of uncertainty evaluation is reduced.

[0007] In a first aspect, the present invention provides a method for evaluating the uncertainty of total sulfur measurement results, the evaluation method comprising the following steps performed in sequence:

[0008] (1) Establish a measurement model based on the determination principle of coulometric titration and determine the sources of uncertainty;

[0009] (2) Evaluate the uncertainty components according to the sources of uncertainty;

[0010] (3) Based on the evaluation results of the uncertainty components, synthesize the standard uncertainty;

[0011] (4) expanding the standard uncertainty obtained in step (3) to obtain the uncertainty assessment result of the total sulfur measurement result;

[0012] The sources of uncertainty in step (1) include repeatability uncertainty u(rep), weighing uncertainty u(m), power consumption uncertainty u(Q) and instrument calibration uncertainty u(calibration).

[0013] Preferably, the measurement model in step (1) is:

[0014]

[0015] Wherein, Q is the power consumption of the measurement, the unit is C; f is the error correction coefficient of the measurement system; m is the mass of the measurement object, the unit is mg.

[0016] Preferably, the uncertainty components are evaluated according to the repeatability uncertainty u(rep) as:

[0017]

[0018] Where m is the number of repeated measurements.

[0019] Preferably, the uncertainty components are evaluated according to the weighing uncertainty u(m), in accordance with a uniform distribution.

[0020] Preferably, the weighing accuracy is F m ,but:

[0021] Preferably, the uncertainty component is evaluated according to the uncertainty of power consumption u(Q) as follows:

[0022]

[0023] Wherein, FQ refers to the maximum value of the integral linear error of the Coulomb integrator.

[0024] Preferably, the uncertainty components are evaluated according to the instrument calibration uncertainty u(calibration) as follows: according to the uncertainty u of the standard value of the total sulfur on the air-dried basis of the standard substance rel (S1 t，ad ) and the uncertainty u introduced by linear regression rel (Regression) Determine the instrument calibration uncertainty u rel (Calibration):

[0025]

[0026] Preferably, according to the uncertainty u of the standard value of total sulfur on an air-dried basis of the standard substance rel (S1t，ad )for:

[0027]

[0028] Among them, c(S t，d )=100-M ad , M ad is the air-dried basis moisture of the sample tested; c(M ad ) is -0.01;

[0029] Preferably,

[0030] Preferably, the standard uncertainty u c (S t，ad ) is: u c (S t，ad )=u rel (S t，ad )×S t，ad ;

[0031] in,

[0032] Preferably, the expansion in step (4) refers to: c (S t，ad ) is based on the expanded uncertainty U(S t，ad );

[0033] Among them, U(S t，ad )=k×u c (S t，ad ), k is the inclusion factor.

[0034] In a second aspect, the present invention provides an electronic device, the electronic device comprising:

[0035] at least one processor; and

[0036] a memory communicatively connected to the at least one processor; wherein,

[0037] The memory stores a computer program that can be executed by the at least one processor, and the computer program is executed by the at least one processor so that the at least one processor can execute the method for evaluating the uncertainty of the total sulfur measurement result described in the first aspect.

[0038] Compared with the prior art, the present invention has the following beneficial effects:

[0039] The evaluation method provided by the present invention can comprehensively evaluate the uncertainty of the result of measuring the total sulfur content by the coulometric titration method, the analysis of the uncertainty source is more comprehensive, and the difficulty of evaluating the uncertainty is reduced. BRIEF DESCRIPTION OF THE DRAWINGS

[0040] In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the following briefly introduces the drawings required for use in the description of the embodiments. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work.

[0041] Figure 1 It is a structural schematic diagram of an electronic device for implementing the method for evaluating the uncertainty of total sulfur measurement results according to an embodiment of the present invention. DETAILED DESCRIPTION

[0042] In order to enable those skilled in the art to better understand the scheme of the present invention, the technical scheme in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work should fall within the scope of protection of the present invention.

[0043] It should be noted that the terms "currently", "preliminary", etc. in the specification and claims of the present invention and the above-mentioned drawings are used to distinguish similar objects, and are not necessarily used to describe a specific order or sequence. It should be understood that the data used in this way can be interchanged where appropriate, so that the embodiments of the present invention described herein can be implemented in an order other than those illustrated or described herein. In addition, the terms "including" and "having" and any variations thereof are intended to cover non-exclusive inclusions, for example, a process, method, system, product or device that includes a series of steps or units is not necessarily limited to those steps or units that are clearly listed, but may include other steps or units that are not clearly listed or inherent to these processes, methods, products or devices.

[0044] Certain embodiments of the present invention provide a method for evaluating the uncertainty of total sulfur measurement results, the evaluation method comprising the following steps performed in sequence:

[0045] (1) Establish a measurement model based on the determination principle of coulometric titration and determine the sources of uncertainty;

[0046] (2) Evaluate the uncertainty components according to the sources of uncertainty;

[0047] (3) Based on the evaluation results of the uncertainty components, synthesize the standard uncertainty;

[0048] (4) expanding the standard uncertainty obtained in step (3) to obtain the uncertainty assessment result of the total sulfur measurement result;

[0049] The sources of uncertainty in step (1) include repeatability uncertainty u(rep), weighing uncertainty u(m), power consumption uncertainty u(Q) and instrument calibration uncertainty u(calibration).

[0050] In some embodiments, the measurement model in step (1) is:

[0051]

[0052] Wherein, Q is the power consumption of the measurement, the unit is C; f is the error correction coefficient of the measurement system; m is the mass of the measurement object, the unit is mg.

[0053] In some embodiments, the uncertainty components are evaluated based on the repeatability uncertainty u(rep) as:

[0054]

[0055] Where m is the number of repeated measurements.

[0056] In certain embodiments, the uncertainty components are evaluated according to the weighing uncertainty u(m), which is performed according to a uniform distribution.

[0057] In some embodiments, the weighing accuracy is F m ,but:

[0058] In some embodiments, the uncertainty component is evaluated according to the uncertainty of power consumption u(Q) as follows:

[0059] In some embodiments, FQ refers to the maximum value of the integral linearity error of the Coulomb integrator.

[0060] In some embodiments, the uncertainty component is evaluated based on the instrument calibration uncertainty u(calibration) as follows: Based on the uncertainty u of the standard value of the total sulfur on an air-dried basis of the reference material rel (S1 t，ad ) and the uncertainty u introduced by linear regression rel (Regression) Determine the instrument calibration uncertainty u rel (Calibration):

[0061]

[0062] In some embodiments, the uncertainty u of the standard value of total sulfur on an air-dried basis of the standard substance is rel (S1 t，ad )for:

[0063]

[0064] Among them, c(S t，d )=100-M ad , M ad is the air-dried basis moisture of the sample tested; c(M ad ) is -0.01;

[0065] In certain embodiments,

[0066] In some embodiments, the standard uncertainty u c (S t，ad ) is: u c (S t，ad )=u rel (S t，ad )×S t，ad ;

[0067] in,

[0068] In some embodiments, the expansion in step (4) refers to: c (S t，ad ) is based on the expanded uncertainty U(S t，ad );

[0069] Among them, U(S t，ad )=k×u c (S t，ad ), k is the inclusion factor.

[0070] An embodiment of the present invention provides an electronic device, the electronic device comprising:

[0071] at least one processor; and

[0072] a memory communicatively connected to the at least one processor; wherein,

[0073] The memory stores a computer program executable by the at least one processor, and the computer program is executed by the at least one processor so that the at least one processor can execute the method for evaluating the uncertainty of total sulfur measurement results described in at least one embodiment.

[0074] Example

[0075] This embodiment provides a method for evaluating the uncertainty of total sulfur measurement results, and the evaluation method includes the following steps performed in sequence:

[0076] (1) Establish a measurement model based on the determination principle of coulometric titration and determine the sources of uncertainty;

[0077] The measurement model is: Where f is 1.06;

[0078] Uncertainty sources include repeatability uncertainty u(rep), weighing uncertainty u(m), power consumption uncertainty u(Q) and instrument calibration uncertainty u(calibration);

[0079] (2) Evaluate the uncertainty components according to the sources of uncertainty:

[0080] The repeatability uncertainty u(rep) is evaluated as follows: according to the method specified in GB / T 214-2007, the standard sample is measured 10 times (the total sulfur content in the standard sample is 1.02%), repeated twice, and the average of the two measured values ​​is taken as the measurement result;

[0081]

[0082] The weighing uncertainty u(m) is evaluated as follows: According to GB / T 214-2007, the weighing accuracy is 0.0002g, and the uniform distribution is used.

[0083] The uncertainty of power consumption u(Q) is evaluated as follows: According to GB / T 214-2007, the linear error of the coulomb integrator should be less than 0.1%. Based on uniform distribution,

[0084] The instrument calibration uncertainty u(calibration) is evaluated as follows: Based on the uncertainty u of the standard value of the total sulfur on the air-dried basis of the standard substance rel (S1 t，ad ) and the uncertainty u introduced by linear regression rel (Regression) Determine the instrument calibration uncertainty u rel (calibration);

[0085] The instrument was measured using a multi-point method, and the results are shown in the following table:

[0086]

[0087] According to the uncertainty of the total sulfur standard value of the standard substance on an air-dried basis, u rel (S1 t，ad )for:

[0088] Among them, c(S t，d )=100-M ad ; S t，ad =S t，d ×(100-M ad )

[0089] According to the ZBM097A certificate of standard material, it contains factor k = 2, then

[0090] According to GB / T 2001-2013, the repeatability limit of moisture determination is r = 0.20%, then

[0091] Then u rel (S1 t，ad )=1.796%;

[0092] According to the table data, the standard value is taken as the x-axis and the measured value is taken as the y-axis, and the linear regression equation y=1.0034x-0.0054, R 2 =0.9994, the error equation is v i =y i -(1.0034xi-0.0054), number of measurements n = 9, experimental standard deviation of y When testing the sample, the average value of the two measurements is x0, which is 1.02%.

[0093] u rel (Regression) = 0.0146 ÷ 0.93 = 1.57%;

[0094]

[0095] (3) Based on the evaluation results of the uncertainty components, synthesize the standard uncertainty;

[0096] The standard uncertainty is:

[0097]

[0098] u c (S t，ad ) = 2.45% × 1.02% = 0.025%;

[0099] (4) expanding the standard uncertainty obtained in step (3) to obtain the uncertainty assessment result of the total sulfur measurement result;

[0100] When expanding, the inclusion probability p = 95%, the inclusion factor k = 2, then the standard uncertainty u c (S t，ad ) is based on the expanded uncertainty U(S t，ad )=k×u c (S t，ad ) = 2 × 0.025% = 0.05%;

[0101] Get the uncertainty evaluation result:

[0102] S t，ad =1.02%, U(S t，ad )=0.05%, k=2.

[0103] Figure 1 A schematic diagram of the structure of an electronic device 10 that can be used to implement an embodiment of the present invention is shown. The electronic device is intended to represent various forms of digital computers, such as laptop computers, desktop computers, workstations, personal digital assistants, servers, blade servers, mainframe computers, and other suitable computers. The electronic device can also represent various forms of mobile devices, such as personal digital processing, cellular phones, smart phones, wearable devices (such as helmets, glasses, watches, etc.) and other similar computing devices. The components shown herein, their connections and relationships, and their functions are merely examples and are not intended to limit the implementation of the present invention described and / or required herein.

[0104] like Figure 1 As shown, the electronic device 10 includes at least one processor 11, and a memory connected to the at least one processor 11, such as a read-only memory (ROM) 12, a random access memory (RAM) 13, etc., wherein the memory stores a computer program that can be executed by at least one processor, and the processor 11 can perform various appropriate actions and processes according to the computer program stored in the read-only memory (ROM) 12 or the computer program loaded from the storage unit 18 to the random access memory (RAM) 13. In the RAM 13, various programs and data required for the operation of the electronic device 10 can also be stored. The processor 11, the ROM 12, and the RAM 13 are connected to each other through a bus 14. An input / output (I / O) interface 15 is also connected to the bus 14.

[0105] A number of components in the electronic device 10 are connected to the I / O interface 15, including: an input unit 16, such as a keyboard, a mouse, etc.; an output unit 17, such as various types of displays, speakers, etc.; a storage unit 18, such as a disk, an optical disk, etc.; and a communication unit 19, such as a network card, a modem, a wireless communication transceiver, etc. The communication unit 19 allows the electronic device 10 to exchange information / data with other devices through a computer network such as the Internet and / or various telecommunication networks.

[0106] The processor 11 may be a variety of general and / or special processing components with processing and computing capabilities. Some examples of the processor 11 include, but are not limited to, a central processing unit (CPU), a graphics processing unit (GPU), various special artificial intelligence (AI) computing chips, various processors running machine learning model algorithms, a digital signal processor (DSP), and any appropriate processor, controller, microcontroller, etc. The processor 11 executes the various methods and processes described above, such as the method for evaluating the uncertainty of the total sulfur measurement result.

[0107] In some embodiments, the method for evaluating the uncertainty of the total sulfur measurement result can be implemented as a computer program, which is tangibly contained in a computer-readable storage medium, such as a storage unit 18. In some embodiments, part or all of the computer program can be loaded and / or installed on the electronic device 10 via the ROM 12 and / or the communication unit 19. When the computer program is loaded into the RAM 13 and executed by the processor 11, one or more steps of the method for evaluating the uncertainty of the total sulfur measurement result described above can be performed. Alternatively, in other embodiments, the processor 11 can be configured to execute the method for evaluating the uncertainty of the total sulfur measurement result by any other appropriate means (for example, by means of firmware).

[0108] Various implementations of the systems and techniques described above herein can be implemented in digital electronic circuit systems, integrated circuit systems, field programmable gate arrays (FPGAs), application specific integrated circuits (ASICs), application specific standard products (ASSPs), systems on chips (SOCs), load programmable logic devices (CPLDs), computer hardware, firmware, software, and / or combinations thereof. These various implementations can include: being implemented in one or more computer programs that can be executed and / or interpreted on a programmable system including at least one programmable processor, which can be a special purpose or general purpose programmable processor that can receive data and instructions from a storage system, at least one input device, and at least one output device, and transmit data and instructions to the storage system, the at least one input device, and the at least one output device.

[0109] Computer programs for implementing the methods of the present invention may be written in any combination of one or more programming languages. These computer programs may be provided to a processor of a general-purpose computer, a special-purpose computer, or other programmable data processing device, so that when the computer program is executed by the processor, the functions / operations specified in the flow chart and / or block diagram are implemented. The computer program may be executed entirely on the machine, partially on the machine, partially on the machine and partially on a remote machine as a stand-alone software package, or entirely on a remote machine or server.

[0110] In the context of the present invention, a computer-readable storage medium may be a tangible medium that may contain or store a computer program for use by or in combination with an instruction execution system, device or equipment. A computer-readable storage medium may include, but is not limited to, electronic, magnetic, optical, electromagnetic, infrared, or semiconductor systems, devices or equipment, or any suitable combination of the foregoing. Alternatively, a computer-readable storage medium may be a machine-readable signal medium. A more specific example of a machine-readable storage medium may include an electrical connection based on one or more lines, a portable computer disk, 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 portable compact disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing.

[0111] To provide interaction with a user, the systems and techniques described herein may be implemented on an electronic device having: a display device (e.g., a CRT (cathode ray tube) or LCD (liquid crystal display) monitor) for displaying information to the user; and a keyboard and a pointing device (e.g., a mouse or trackball) through which the user can provide input to the electronic device. Other types of devices may also be used to provide interaction with the user; for example, the feedback provided to the user may be any form of sensory feedback (e.g., visual feedback, auditory feedback, or tactile feedback); and input from the user may be received in any form (including acoustic input, voice input, or tactile input).

[0112] The systems and techniques described herein may be implemented in a computing system that includes backend components (e.g., as a data server), or a computing system that includes middleware components (e.g., an application server), or a computing system that includes frontend components (e.g., a user computer with a graphical user interface or a web browser through which a user can interact with implementations of the systems and techniques described herein), or a computing system that includes any combination of such backend components, middleware components, or frontend components. The components of the system may be interconnected by any form or medium of digital data communication (e.g., a communication network). Examples of communication networks include: a local area network (LAN), a wide area network (WAN), a blockchain network, and the Internet.

[0113] A computing system may include a client and a server. The client and the server are generally remote from each other and usually interact through a communication network. The client and server relationship is generated by computer programs running on the corresponding computers and having a client-server relationship with each other. The server may be a cloud server, also known as a cloud computing server or cloud host, which is a host product in the cloud computing service system to solve the defects of difficult management and weak business scalability in traditional physical hosts and VPS services.

[0114] It should be understood that the various forms of processes shown above can be used to reorder, add or delete steps. For example, the steps described in the present invention can be executed in parallel, sequentially or in different orders, as long as the desired results of the technical solution of the present invention can be achieved, and this document does not limit this.

[0115] The above specific implementations do not constitute a limitation on the protection scope of the present invention. It should be understood by those skilled in the art that various modifications, combinations, sub-combinations and substitutions can be made according to design requirements and other factors. Any modification, equivalent substitution and improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims

1. A method for evaluating the uncertainty of total sulfur measurement results, characterized in that: The evaluation method comprises the following steps: (1) Establish a measurement model based on the determination principle of coulometric titration and determine the sources of uncertainty; (2) Evaluate the uncertainty components according to the sources of uncertainty; (3) Based on the evaluation results of the uncertainty components, synthesize the standard uncertainty; (4) expanding the standard uncertainty obtained in step (3) to obtain the uncertainty assessment result of the total sulfur measurement result; The sources of uncertainty in step (1) include repeatability uncertainty u(rep), weighing uncertainty u(m), power consumption uncertainty u(Q) and instrument calibration uncertainty u(calibration).

2. The evaluation method according to claim 1, characterized in that: The measurement model in step (1) is: Wherein, Q is the power consumption of the measurement, the unit is C; f is the error correction coefficient of the measurement system; m is the mass of the measurement object, the unit is mg.

3. The evaluation method according to claim 1 or 2, characterized in that: According to the repeatability uncertainty u(rep), the uncertainty components are evaluated as follows: Where m is the number of repeated measurements.

4. The evaluation method according to any one of claims 1 to 3, characterized in that: The uncertainty components are evaluated according to the weighing uncertainty u(m) and are carried out in accordance with uniform distribution; Preferably, the weighing accuracy is F m ,but:

5. The evaluation method according to any one of claims 1 to 4, characterized in that: According to the uncertainty of power consumption u(Q), the uncertainty component is evaluated as follows: Among them, F Q It refers to the maximum value of the integral linear error of the Coulomb integrator.

6. The evaluation method according to any one of claims 1 to 5, characterized in that: The uncertainty components are evaluated based on the instrument calibration uncertainty u(calibration) as follows: Based on the uncertainty u of the standard value of the total sulfur on an air-dried basis of the standard substance rel (S1 t，ad ) and the uncertainty u introduced by linear regression rel (Regression) Determine the instrument calibration uncertainty u rel (Calibration):

7. The evaluation method according to claim 6, characterized in that: According to the uncertainty of the total sulfur standard value of the standard substance on an air-dried basis, u rel (S1 t，ad )for: Among them, c(S t,d )=100-M ad , M ad is the air-dried basis moisture of the sample tested; c(M ad ) is -0.01; Preferably, 8. The evaluation method according to any one of claims 1 to 7, characterized in that: The standard uncertainty u c (S t,ad ) is: u c (S t,ad )=u rel (S t,ad )×S t,ad ; in, 9. The evaluation method according to any one of claims 1 to 8, characterized in that: The expansion in step (4) means: c (S t,ad ) is based on the expanded uncertainty U(S t,ad ); Among them, U(S t,ad )=k×u c (S t,ad ), k is the inclusion factor.

10. An electronic device, characterized in that: The electronic device comprises: at least one processor; and a memory communicatively connected to the at least one processor; wherein, The memory stores a computer program executable by the at least one processor, and the computer program is executed by the at least one processor so that the at least one processor can execute the method for evaluating the uncertainty of total sulfur measurement results as described in any one of claims 1-9.

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