Method and device for determining water hammer time constant of self-adaptive water turbine
By constructing a time-varying water hammer time constant calculation formula for the water hammer time constant of the turbine, the adaptive water hammer time constant is calculated, which solves the problem of real-time accuracy of the water hammer time constant under different water heads and guide vane openings in the prior art, and realizes the adaptability and real-time nature of the water hammer time constant.
Patent Information
- Application Number
- CN202510212176.1
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-02-25
- Publication Date
- 2025-06-24
AI Technical Summary
The prior art is difficult to accurately determine the water hammer time constant of the turbine under different water heads and guide vane openings, resulting in the gap between the water hammer time constant and the actual operation of the unit in the power system stable calculation model.
By constructing a time-varying water hammer time constant calculation formula for the water hammer time, the adaptive water hammer time constant is calculated using real-time flow rate, the length of the water diversion pipeline and the cross-sectional area of the water diversion pipe to ensure that the water hammer time constant is consistent with the actual operating conditions of the unit.
The adaptability of the water hammer time constant is achieved, ensuring the real-time accuracy of the water hammer time constant of the water turbine under different water heads and guide vane openings, and avoiding the gap between the water hammer time constant and the actual operation of the unit in the power system stable calculation model.
Smart Images

Figure CN120197346A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of power systems, and more particularly, to a method and device for determining the self-adaptive water hammer time constant of a water turbine. Background Art
[0002] For large Francis hydro-generating units, the theoretical value of the water hammer time constant of the water turbine is calculated under the rated head and the flow rate with the guide vane fully open. However, the unit does not actually operate under such conditions all the time. More realistically, it operates at non-rated heads and different guide vane openings. The real-time value of the water hammer time constant of the unit is closely related to the head height and the position of the guide vane opening. The water hammer time constant at the same operating point is very different at high heads and low heads. Summary of the Invention
[0003] Aiming at the deficiencies of the prior art, the present invention provides a method and device for determining the self-adaptive water hammer time constant of a water turbine.
[0004] According to one aspect of the present invention, a method for determining the self-adaptive water hammer time constant of a water turbine is provided, including:
[0005] Calculating the real-time flow rate at any head and guide vane opening under any operating condition according to the first flow regulation equation of the water turbine and the real-time parameters;
[0006] Constructing a calculation formula for the water hammer time constant of the water turbine with time-varying parameters;
[0007] Calculating the self-adaptive water hammer time constant of the water turbine under time-varying parameters according to the real-time flow rate, the length of the water turbine penstock, and the cross-sectional area of the penstock.
[0008] Optionally, the first flow regulation equation is:
[0009]
[0010] In the formula, Q is the flow rate per unit time of the water turbine, α0 is the outflow angle at the guide vane outlet, β2 is the outlet angle of the runner blade, b0 is the guide vane height, η r is the runner efficiency, η g is the hydraulic efficiency, A2 is the flow area at the outlet edge of the runner blade, g is the acceleration due to gravity, H is the working head of the water turbine, ω is the angular velocity at the outlet of the guide vane, and r is the radius at the outlet of the guide vane.
[0011] Optionally, the calculation formula for the water hammer time constant of the water turbine is:
[0012]
[0013] In the formula, L is the length of the water turbine penstock; A is the cross-sectional area of the penstock; Hr is the arbitrary water head; Q r is the flow rate at an arbitrary guide vane opening; g is the acceleration due to gravity.
[0014] According to another aspect of the present invention, there is provided a device for determining the self - adaptive water hammer time constant of a water turbine, comprising:
[0015] A first calculation module, configured to calculate the real - time flow rate at an arbitrary water head and guide vane opening under any working condition according to the first flow rate regulation equation of the water turbine and real - time parameters;
[0016] A construction module, configured to construct a calculation formula for the water hammer time constant of the water turbine with time - varying parameters;
[0017] A second calculation module, configured to calculate the self - adaptive water hammer time constant of the water turbine under time - varying parameters according to the real - time flow rate, the length of the water intake pipeline of the water turbine, and the cross - sectional area of the intake pipeline.
[0018] According to still another aspect of the present invention, there is provided a computer - readable storage medium storing a computer program for executing the method according to any one of the above aspects of the present invention.
[0019] According to still another aspect of the present invention, there is provided an electronic device, comprising: a processor; a memory for storing executable instructions of the processor; the processor is configured to read the executable instructions from the memory and execute the instructions to implement the method according to any one of the above aspects of the present invention.
[0020] Thus, the present invention provides a method for determining the self - adaptive water hammer time constant of a water turbine. The time - variability of the water hammer time constant ensures the consistency between the water hammer time constant of the water turbine at any water head and guide vane opening and the actual operating conditions of the unit, avoiding the gap between the water hammer time constant in the power system stability calculation model and the actual operation of the unit, making the water hammer time constant self - adaptive. It can effectively solve the problem that the water hammer time constant of the water turbine unit in the power system simulation model has different values at different water heads and guide vane openings, and ensure that the water hammer time constant in the model for stability calculation has self - adaptability under the full water head and the full stroke of the guide vane. BRIEF DESCRIPTION OF THE DRAWINGS
[0021] By referring to the following drawings, the exemplary embodiments of the present invention can be more fully understood:
[0022] Figure 1 is a schematic flow chart of a method for determining the self - adaptive water hammer time constant of a water turbine provided by an exemplary embodiment of the present invention;
[0023] Figure 2It is a schematic diagram of a simulation model of the water hammer time constant of an adaptive water turbine provided by an exemplary embodiment of the present invention;
[0024] Figure 3 It is a schematic structural diagram of a device for determining the water hammer time constant of an adaptive water turbine provided by an exemplary embodiment of the present invention;
[0025] Figure 4 It is the structure of an electronic device provided by an exemplary embodiment of the present invention. Detailed implementation manners
[0026] Next, exemplary embodiments of the present invention will be described in detail with reference to the accompanying drawings. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all the embodiments of the present invention. It should be understood that the present invention is not limited by the exemplary embodiments described herein.
[0027] It should be noted that: unless otherwise specifically stated, the relative arrangements of components and steps, numerical expressions and values set forth in these embodiments do not limit the scope of the present invention.
[0028] Those skilled in the art can understand that terms such as "first" and "second" in the embodiments of the present invention are only used to distinguish different steps, devices or modules, etc., and neither represent any specific technical meaning nor indicate an inevitable logical order between them.
[0029] It should also be understood that in the embodiments of the present invention, "a plurality" may refer to two or more, and "at least one" may refer to one, two or more.
[0030] It should also be understood that for any component, data or structure mentioned in the embodiments of the present invention, without clear limitation or contrary indication in the context, it can generally be understood as one or more.
[0031] In addition, the term "and / or" in the present invention is only a description of the association relationship of associated objects, indicating that there can be three relationships. For example, A and / or B can represent: A exists alone, A and B exist simultaneously, and B exists alone. In addition, the character " / " in the present invention generally represents an "or" relationship between the associated objects before and after.
[0032] It should also be understood that the present invention emphasizes the differences between the various embodiments, and their similarities or similarities can be referred to each other. For the sake of brevity, they will not be described one by one.
[0033] At the same time, it should be understood that for the convenience of description, the dimensions of the various parts shown in the drawings are not drawn according to the actual proportional relationship.
[0034] The following description of at least one exemplary embodiment is merely illustrative and is in no way a limitation on the present invention, its application, or its use.
[0035] Techniques, methods, and devices known to those of ordinary skill in the relevant art may not be discussed in detail, but where appropriate, the techniques, methods, and devices should be considered as part of the specification.
[0036] It should be noted that like reference numerals and letters in the following figures indicate like items, so once an item is defined in one figure, it need not be further discussed in subsequent figures.
[0037] Embodiments of the present invention can be applied to electronic devices such as terminal devices, computer systems, servers, etc., which can operate with many other general-purpose or special-purpose computing system environments or configurations. Examples of well-known terminal devices, computing systems, environments, and / or configurations suitable for use with terminal devices, computer systems, servers, etc. include, but are not limited to: personal computer systems, server computer systems, thin clients, thick clients, handheld or laptop devices, microprocessor-based systems, set-top boxes, programmable consumer electronics, network personal computers, minicomputer systems, mainframe computer systems, and distributed cloud computing technology environments including any of the above systems, and so on.
[0038] Terminal devices, computer systems, servers, etc. can be described in the general context of computer system-executable instructions (such as program modules) executed by a computer system. Generally, program modules can include routines, programs, object programs, components, logic, data structures, etc., which perform specific tasks or implement specific abstract data types. The computer system / server can be implemented in a distributed cloud computing environment where tasks are executed by remote processing devices linked through a communication network. In a distributed cloud computing environment, program modules can be located on local or remote computing system storage media including storage devices.
[0039] Exemplary method
[0040] Figure 1 is a schematic flowchart of a method for determining the self-adaptive water turbine water hammer time constant provided by an exemplary embodiment of the present invention. This embodiment can be applied to an electronic device, such as Figure 1 As shown, the method 100 for determining the self-adaptive water turbine water hammer time constant includes the following steps:
[0041] Step 101, calculate the real-time flow rate at any water head and guide vane opening under any working condition according to the first flow rate regulation equation of the water turbine and real-time parameters;
[0042] Step 102: Construct a calculation formula for the water turbine water hammer time constant with deformed parameters during parameter construction.
[0043] Step 103: Calculate the adaptive water hammer time constant under time-varying parameters of the water turbine according to the real-time flow rate, the length of the water turbine water intake pipeline, and the cross-sectional area of the water intake pipe.
[0044] Specifically, based on the adaptive water turbine water hammer time constant modeling method, the present invention can satisfy the adaptive change of the water hammer time constant of the water turbine at different water heads and different guide vane openings, which is beneficial to improving the real-time accuracy of the model for power system stability calculation.
[0045] To solve the problem that the water hammer time constant in the current stability calculation model of hydropower units is inconsistent with the changes in water head and guide vane opening, the purpose of the present invention is to provide a method for determining the adaptive water turbine water hammer time constant, which can automatically correct the water hammer time constant of the simulation model of the hydropower unit in the power system stability calculation to a suitable value as the water head and guide vane opening of the unit change.
[0046] The present invention utilizes the relationship between the water hammer time constant and the water head, flow rate, and guide vane opening in the simulation model of the hydropower unit, and introduces a real-time water hammer time constant into the model to achieve the time-varying property of the unit water hammer time constant.
[0047] The most crucial point of the adaptive water turbine water hammer time constant modeling method in the present invention is to introduce a time-varying parameter variable into the water hammer time constant calculation formula instead of a fixed quantity in theoretical calculation, that is, the functional relationship of the water head, guide vane opening, water intake pipe length, and water intake pipe cross-sectional area. The time-varying property of the water hammer time constant ensures the consistency of the water turbine water hammer time constant with the actual operating conditions of the unit at any water head and guide vane opening, avoids the gap between the water hammer time constant in the power system stability calculation model and the actual operation of the unit, and makes the water hammer time constant have self-adaptability.
[0048] First, for the calculation formula of the water turbine water hammer time constant T w the following formula with parameter time-varying property is proposed:
[0049]
[0050] In the formula, L is the length of the water turbine water intake pipeline, unit: m; A is the cross-sectional area of the water intake pipe, unit: m 2 ; H r is any water head, unit: m; Q r is the flow rate at any guide vane opening, unit: m 3 / sec; g is the acceleration due to gravity, m / sec 2 .
[0051] The first flow regulation equation of the water turbine:
[0052]
[0053] Wherein, Q is the flow rate of the water turbine per unit time, α0 is the outflow angle at the outlet of the guide vane, β2 is the outlet angle of the runner blade, b0 is the height of the guide vane, η r is the runner efficiency, η g is the hydraulic efficiency, A2 is the flow area at the outlet edge of the runner blade, g is the acceleration due to gravity, H is the working head of the water turbine, ω is the angular velocity at the outlet of the guide vane, and r is the radius at the outlet of the guide vane.
[0054] Under the condition that the rotational speed and the height of the guide vane of the water turbine remain unchanged, the flow rate of the water turbine is only related to the water head, the outlet angle of the guide vane, and the outlet angle of the runner blade (assuming that the runner efficiency and the hydraulic efficiency are constant).
[0055] Q = f(α0, β2, H)
[0056] For the water turbine unit that has been built and generating electricity, the length and cross-sectional area of the penstock are constant. Therefore, the water hammer time constant T w is only related to the flow rate and the water head.
[0057] T w = f(Q, H)
[0058] That is, the water hammer time constant T w is related to the water head, the outlet angle of the guide vane, and the outlet angle of the runner blade.
[0059] T w = f(α0, β2, H)
[0060] Secondly, according to the parameter information such as the water head and the guide vane opening, the flow rate Q at any water head and guide vane opening is calculated r .
[0061] Finally, according to the calculation formula of the water hammer time constant of the water turbine with time-varying parameters, the adaptive water hammer time constant T under time-varying parameters is calculated w .
[0062] As shown in the reference Figure 2 , the method provided by the present invention is introduced into the simulation calculation model of the water turbine unit based on the principle of adaptive control. Its adaptive control characteristic is to automatically and real-time change the water hammer time constant of the water turbine according to the change of the water head of the water turbine and the size of the guide vane opening, so that the water hammer time constant in the simulation calculation model of the water turbine unit body remains real-time.
[0063] The excellent effect of the technical solution provided by the present invention is that it can effectively solve the problem that the water hammer time constant of the water turbine unit in the power system simulation model has self-adaptability under the full water head and the full stroke of the guide vane in real time to ensure the stability of the calculation model at different water heads and guide vane openings.
[0064] Thus,
[0065] Exemplary device
[0066] Figure 3 is a schematic structural diagram of a device for determining the adaptive water hammer time constant of a water turbine provided by an exemplary embodiment of the present invention. As Figure 3 shown, the device 300 includes:
[0067] A first calculation module 310, configured to calculate the real-time flow rate at any water head and guide vane opening under any operating condition according to the first flow rate regulation equation of the water turbine and real-time parameters;
[0068] A construction module 320, configured to construct a calculation formula for the water hammer time constant of the water turbine with time-varying parameters;
[0069] A second calculation module 330, configured to calculate the adaptive water hammer time constant of the water turbine under time-varying parameters according to the real-time flow rate, the length of the water turbine water inlet pipe, and the cross-sectional area of the water inlet pipe.
[0070] Optionally, the first flow rate regulation equation is:
[0071]
[0072] In the formula, Q is the flow rate per unit time of the water turbine, α0 is the outflow angle at the outlet of the guide vane, β2 is the outlet angle of the runner blade, b0 is the height of the guide vane, η r is the runner efficiency, η g is the hydraulic efficiency, A2 is the flow-through area at the outlet edge of the runner blade, g is the acceleration due to gravity, H is the working head of the water turbine, ω is the angular velocity at the outlet of the guide vane, and r is the radius at the outlet of the guide vane.
[0073] Optionally, the calculation formula for the water hammer time constant of the water turbine is:
[0074]
[0075] In the formula, L is the length of the water turbine water inlet pipe; A is the cross-sectional area of the water inlet pipe; H r is any water head; Q r is the flow rate at any guide vane opening; g is the acceleration due to gravity.
[0076] Exemplary electronic device
[0077] Figure 4 is the structure of an electronic device provided by an exemplary embodiment of the present invention. As Figure 4 shown, the electronic device 40 includes one or more processors 41 and a memory 42.
[0078] The processor 41 may be a central processing unit (CPU) or other forms of processing units with data processing capabilities and / or instruction execution capabilities, and may control other components in the electronic device to perform desired functions.
[0079] The memory 42 may include one or more computer program products, and the computer program products may include various forms of computer-readable storage media, such as volatile memory and / or non-volatile memory. The volatile memory may include, for example, random access memory (RAM) and / or cache memory, etc. The non-volatile memory may include, for example, read-only memory (ROM), hard disk, flash memory, etc. One or more computer program instructions may be stored on the computer-readable storage media, and the processor 41 may run the program instructions to implement the methods of the software programs of the various embodiments of the present invention described above and / or other desired functions. In one example, the electronic device may further include: an input device 43 and an output device 44, and these components are interconnected through a bus system and / or other forms of connection mechanisms (not shown).
[0080] In addition, the input device 43 may further include, for example, a keyboard, a mouse, and so on.
[0081] The output device 44 may output various information to the outside. The output device 44 may include, for example, a display, a speaker, a printer, and a communication network and its connected remote output devices, and so on.
[0082] Of course, for simplicity, Figure 4 only some of the components related to the present invention in the electronic device are shown, and components such as buses, input / output interfaces, etc. are omitted. In addition, according to specific application scenarios, the electronic device may further include any other appropriate components.
[0083] Exemplary computer program product and computer-readable storage medium
[0084] In addition to the above methods and devices, embodiments of the present invention may also be computer program products, which include computer program instructions that, when run by a processor, cause the processor to execute the steps in the methods according to various embodiments of the present invention described in the "Exemplary Methods" section above in this specification.
[0085] The computer program product can be written in any combination of one or more programming languages for executing the program code of the operations of the embodiments of the present invention. The programming languages include object-oriented programming languages such as Java, C++, etc., and also include conventional procedural programming languages such as the "C" language or similar programming languages. The program code can be executed entirely on the user's computing device, partially on the user's device, executed as an independent software package, partially on the user's computing device and partially on a remote computing device, or entirely on a remote computing device or server.
[0086] In addition, an embodiment of the present invention can also be a computer-readable storage medium, on which computer program instructions are stored. When the computer program instructions are run by a processor, the processor is caused to execute the steps in the methods according to various embodiments of the present invention described in the "Exemplary Method" section above of this specification.
[0087] The computer-readable storage medium can adopt any combination of one or more readable media. The readable medium can be a readable signal medium or a readable storage medium. The readable storage medium can, for example, include but is not limited to an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any combination of the above. More specific examples (a non-exhaustive list) of the readable storage medium include: an electrical connection having one or more wires, a portable 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 above.
[0088] The basic principles of the present invention have been described above in conjunction with specific embodiments. However, it should be noted that the advantages, advantages, effects, etc. mentioned in the present invention are only examples and not limitations. It cannot be considered that these advantages, advantages, effects, etc. are essential for each embodiment of the present invention. In addition, the above-disclosed specific details are only for the purposes of illustration and facilitating understanding, and are not limitations. The above details do not limit the present invention to necessarily adopt the above specific details for implementation.
[0089] Each embodiment in this specification is described in a progressive manner. The key point of each embodiment is to illustrate the differences from other embodiments. The same or similar parts among the embodiments can be referred to each other. For the system embodiment, since it basically corresponds to the method embodiment, the description is relatively simple, and the relevant parts can be referred to the partial description of the method embodiment.
[0090] The block diagrams of the devices, systems, equipment, and systems involved in the present invention are only illustrative examples and are not intended to require or imply that they must be connected, arranged, and configured in the manner shown in the block diagrams. As those skilled in the art will recognize, these devices, systems, equipment, and systems can be connected, arranged, and configured in any manner. Words such as "including", "comprising", "having", etc. are open-ended terms that mean "including but not limited to" and can be used interchangeably with each other. The word "or" and "and" used herein refer to the phrase "and / or" and can be used interchangeably with it, unless the context clearly indicates otherwise. The word "such as" used herein refers to the phrase "such as but not limited to" and can be used interchangeably with it.
[0091] The methods and systems of the present invention can be implemented in many ways. For example, the methods and systems of the present invention can be implemented by software, hardware, firmware, or any combination of software, hardware, and firmware. The above order of the steps for the methods is for illustrative purposes only, and the steps of the methods of the present invention are not limited to the specific order described above, unless otherwise specifically stated. In addition, in some embodiments, the present invention can also be implemented as a program recorded in a recording medium, and these programs include machine-readable instructions for implementing the methods according to the present invention. Therefore, the present invention also covers a recording medium storing a program for executing the methods according to the present invention.
[0092] It should also be noted that in the systems, equipment, and methods of the present invention, each component or each step can be decomposed and / or recombined. These decompositions and / or recombinations should be regarded as equivalent solutions of the present invention. The above description of the disclosed aspects is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these aspects will be readily apparent to those skilled in the art, and the general principles defined herein can be applied to other aspects without departing from the scope of the present invention. Therefore, the present invention is not intended to be limited to the aspects shown herein, but rather to the broadest scope consistent with the principles and novel features disclosed herein.
[0093] The above description has been given for purposes of illustration and description. In addition, this description is not intended to limit the embodiments of the present invention to the forms disclosed herein. Although multiple example aspects and embodiments have been discussed above, those skilled in the art will recognize certain variations, modifications, changes, additions, and sub-combinations thereof.
Claims
1. A method for determining an adaptive water hammer time constant of a hydraulic turbine, characterized in that: include: According to the first flow regulation equation of the turbine and the real-time parameters, the real-time flow under any working condition and any water head and guide vane opening is calculated; The calculation formula of the water hammer time constant of the turbine is deformed when constructing the parameters; According to the real-time flow, the length of the water turbine diversion pipe and the cross-sectional area of the water turbine diversion pipe, an adaptive water hammer time constant under the time-varying parameters of the water turbine is calculated.
2. The method according to claim 1, characterized in that The first flow rate regulation equation is: Where, Q is the flow rate per unit time of the turbine, α0 is the outflow angle at the guide vane outlet, β2 is the outlet angle of the runner blade, b0 is the guide vane height, η r is the blade efficiency, η g is the hydraulic efficiency, A2 is the flow area at the outlet of the runner blade, g is the gravitational acceleration, H is the working water head of the turbine, ω is the angular velocity at the outlet of the water guide blade, and r is the radius of the outlet of the water guide blade.
3. The method according to claim 1, characterized in that The calculation formula of the turbine water hammer time constant is: Where, L is the length of the water diversion pipe of the turbine; A is the cross-sectional area of the water diversion pipe; H r is any water head; Q r is the flow rate at any guide vane opening; g is the acceleration due to gravity.
4. An adaptive device for determining a water hammer time constant of a hydraulic turbine, characterized in that: include: A first calculation module is used to calculate the real-time flow rate under any working condition and any water head and guide vane opening according to the first flow regulation equation of the turbine and the real-time parameters; A construction module for constructing a calculation formula for a water hammer time constant of a hydraulic turbine with deformation during parameter construction; The second calculation module is used to calculate the adaptive water hammer time constant under the time-varying parameters of the turbine according to the real-time flow, the length of the turbine water diversion pipe and the cross-sectional area of the water diversion pipe.
5. The device according to claim 4, characterized in that The first flow rate regulation equation is: Where, Q is the flow rate per unit time of the turbine, α0 is the outflow angle at the guide vane outlet, β2 is the outlet angle of the runner blade, b0 is the guide vane height, η r is the blade efficiency, η g is the hydraulic efficiency, A2 is the flow area at the outlet of the runner blade, g is the gravitational acceleration, H is the working water head of the turbine, ω is the angular velocity at the outlet of the water guide blade, and r is the radius of the outlet of the water guide blade.
6. The device according to claim 4, characterized in that The calculation formula of the turbine water hammer time constant is: Where, L is the length of the water diversion pipe of the turbine; A is the cross-sectional area of the water diversion pipe; H r is any water head; Q r is the flow rate at any guide vane opening; g is the acceleration due to gravity.
7. A computer-readable storage medium, characterized in that: The storage medium stores a computer program, and the computer program is used to execute the method according to any one of claims 1 to 3.
8. An electronic device, characterized in that: The electronic device comprises: processor; a memory for storing instructions executable by the processor; The processor is used to read the executable instructions from the memory and execute the instructions to implement the method described in any one of claims 1 to 3.