CN113128025A - Optimization method of transformer winding fluid temperature field simulation model - Google Patents

Optimization method of transformer winding fluid temperature field simulation model Download PDF

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CN113128025A
CN113128025A CN202110297323.1A CN202110297323A CN113128025A CN 113128025 A CN113128025 A CN 113128025A CN 202110297323 A CN202110297323 A CN 202110297323A CN 113128025 A CN113128025 A CN 113128025A
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fluid
radiator
temperature field
simulation model
transformer
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CN113128025B (en
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张磊
黎大健
赵坚
王佳琳
饶夏锦
余长厅
张玉波
芦宇峰
颜海俊
苏毅
潘绍明
李锐
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Electric Power Research Institute of Guangxi Power Grid Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00Details relating to the application field
    • G06F2113/08Fluids
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F2119/08Thermal analysis or thermal optimisation

Abstract

The invention provides an optimization method of a transformer winding fluid temperature field simulation model, which simplifies the fluid state in a radiator of a transformer into equivalent self-cooling fluid pressure of a pipeline port by using an empirical formula according to test data of a product and material characteristics of fluid, and provides a corresponding relation between the equivalent self-cooling fluid pressure and temperature rise, fluid density and specific gravity; in the coupling calculation process of the fluid temperature field in the transformer winding, the flow distribution and the hot point temperature rise of the fluid in the winding are accurately calculated by utilizing the equivalent self-cooling fluid pressure, so that the computer resources are saved, the calculation time is shortened, the simulation model is simplified, and the calculation accuracy of the fluid temperature field is improved.

Description

Optimization method of transformer winding fluid temperature field simulation model
Technical Field
The invention relates to the technical field of simulation calculation of transformer fluid and temperature rise, in particular to an optimization method of a transformer winding fluid temperature field simulation model.
Background
For an auto/blow cooled transformer, heat is transferred to the adjacent oil medium through the outer surface of the windings in the area of the transformer body where heat is lost. The oil is heated, has a reduced density, flows upward along the periphery of the body by buoyancy, and enters the radiator. The cold oil coming out from the lower part of the radiator and entering the oil tank of the body replaces the floating oil, the hot oil on the upper part of the radiator dissipates its heat along the wall of the radiator, the density of the oil is increased again and flows downwards, and the circulation is carried out to form a closed fluid field. The oil flow distribution and flow rate are determined by the winding surface heat load, the winding heat dissipation structure and the fluid characteristics.
The temperature rise simulation calculation of the transformer is actually a three-field coupling problem calculation of electromagnetically generated heat-fluid-temperature field. The fluid field of the transformer has two main parts: one is a loss heating area, namely a transformer body; the other is a heat dissipation area which comprises various types of cooling heat dissipation devices such as a cooler, a finned radiator and the like; the two areas are connected by a pipeline. The heating and radiating oil circuit structure of the transformer is very complex, theoretically, a complete full-field simulation model of the heating and radiating structure should be established, and the heat exchange coefficient of the radiating device and an external cooling medium should be accurately set. If a full-field modeling method is adopted, a fluid model is very complex, is influenced by factors such as grid section fraction and long solving time, is extremely difficult to solve, cannot ensure the calculation precision, and is still difficult to realize the electromagnetic-fluid-temperature field coupling solving of the full field at present.
Disclosure of Invention
In order to solve the technical problems, the invention combines the traditional empirical method, the test data of the product and the material characteristics of the fluid, simplifies the fluid state of the cooling area into the centralized parameters of the pipeline port, and concentrates the limited computer resources on the simulation model calculation of the transformer body winding. The purpose is to optimize the winding structure, improve the calculation precision, and ensure that the temperature rise and the hot spot of the winding do not exceed the standard, which is the most key technology for controlling the temperature rise of the whole transformer.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
according to test data of a product and material characteristics of fluid, simplifying the fluid state in a radiator of a transformer into centralized parameters of a pipeline port by using an empirical formula, and using the centralized parameters for coupling calculation of a fluid temperature field of a transformer winding to obtain a hot spot distribution diagram and a flow distribution diagram of the winding fluid.
Further, the transformer comprises a self-cooled transformer.
Further, the heat sink includes a fin type heat sink.
Further, the fluid includes mineral oil, natural ester vegetable oil, and synthetic ester oil.
Furthermore, the pipeline port is a connecting pipeline port of the transformer body and the radiator.
Further, the lumped parameter comprises an equivalent self-cooling fluid pressure.
Further, the test data of the product includes ambient temperature, outlet fluid temperature rise of the heat sink, inlet fluid temperature rise of the heat sink, height of the winding, height of the heat sink, and height difference between the center of the heat sink and the center of the winding.
Further, the material properties of the fluid include a fluid density and a thermal volume expansion coefficient of the fluid at an average temperature.
Preferably, the reducing the fluid state in the radiator of the transformer to the centralized parameter of the pipeline port by using the empirical formula specifically includes the following steps:
the first step is as follows: calculating the fluid temperature difference between the inlet and the outlet of the radiator, wherein the calculation formula is as follows:
Δθco=Δθoic-Δθooc
wherein, Delta thetacoIs the temperature difference of the fluid at the inlet and outlet of the radiator, Delta thetaoicFor fluid temperature rise at radiator inlet, Delta thetaoocThe temperature of the fluid at the outlet of the radiator is raised;
the second step is that: solving the logarithmic mean temperature difference of the fluid to the air in the radiator, wherein the calculation formula is as follows:
Figure BDA0002984832890000031
wherein, Delta thetao-aIs the log mean temperature difference of the fluid to air in the radiator;
the third step: calculating the logarithmic mean temperature difference Delta thetao-aThe calculation formula of the height difference between the characteristic point of (1) and the center of the radiator is as follows:
Figure BDA0002984832890000032
wherein h is2Is a logarithmic mean temperature difference Delta thetao-aHeight difference between the characteristic point of (a) and the center of the heat sink, hrIs the height of the heat sink;
the fourth step: calculating the area of a radiator temperature loop, wherein the calculation formula is as follows:
S=h1Δθco+hr(Δθoic-Δθo-a-0.5Δθco)
wherein S is the area of the temperature loop of the radiator, h1The height difference between the radiator and the winding;
the fifth step: calculating the equivalent self-cooling fluid pressure of a pipeline port in the optimized simulation model, wherein the calculation formula is as follows:
p=ρkkS
where p is the equivalent auto-cooling fluid pressure of the pipeline port, ρkIs the density of the fluid at average temperature, betakIs the coefficient of thermal volume expansion of the fluid at the average temperature, and g is the coefficient of gravity.
Further, the coupling calculation refers to solving the temperature field by taking the centralized parameters as the power boundary conditions of the transformer winding fluid temperature field; comparing the solving result with the fluid temperature rise at the inlet of the radiator, the fluid temperature rise at the outlet of the radiator and the fluid temperature difference between the inlet and the outlet of the radiator to judge whether the mutual verification exists; if mutual verification is available, the solution result of the fluid temperature field is judged to be accurate, and a hot spot distribution diagram and a fluid flow distribution diagram inside the winding are given; and if the two can not be verified mutually, recalculating the equivalent self-cooling fluid pressure of the pipeline port, and solving the fluid temperature field of the transformer winding again.
The invention provides an optimization method of a transformer winding fluid temperature field simulation model, which simplifies the fluid state in a radiator of a transformer into the equivalent self-cooling fluid pressure of a pipeline port by using an empirical formula according to the test data of a product and the material characteristics of fluid, and provides the corresponding relation between the equivalent self-cooling fluid pressure in the radiator and the temperature rise, the fluid density and the specific gravity; in the coupling calculation process of the fluid temperature field, the flow distribution and the hot point temperature rise of the fluid in the winding are accurately calculated by utilizing the equivalent self-cooling fluid pressure, so that the computer resources are saved, the calculation time is shortened, the simulation model is simplified, and the calculation accuracy of the fluid temperature field is improved.
Drawings
FIG. 1 is a parameter diagram of an optimization method of a transformer winding fluid temperature field simulation model;
FIG. 2 is an equivalent self-cooling fluid pressure diagram.
Description of the parameters: h iswWinding height (in m), hrHeight of the heat sink (in m), h1Height difference (m), h, between the center of the heat sink and the center of the winding2The difference in height (m), θ, between the log mean temperature difference of oil to air in the radiator and the center of the radiatoraAmbient temperature (in ℃), Δ θoocRadiator outlet oil temperature rise (in K), Delta thetaoicRadiator inlet oil temperature rise (in K), Δ θcoRadiator inlet and outlet oil temperature difference (in K), delta thetao-aLogarithmic mean temperature difference of oil to air in radiator (in K), p-equivalent self-cooling fluid pressure (in Nm)-2)。
Detailed Description
The embodiments of the present disclosure are described in detail below with reference to the accompanying drawings.
The embodiments of the present disclosure are described below with specific examples, and other advantages and effects of the present disclosure will be readily apparent to those skilled in the art from the disclosure in the specification. It is to be understood that the described embodiments are merely illustrative of some, and not restrictive, of the embodiments of the disclosure. The disclosure may be embodied or carried out in various other specific embodiments, and various modifications and changes may be made in the details within the description without departing from the spirit of the disclosure. It is to be noted that the features in the following embodiments and examples may be combined with each other without conflict. 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.
Example one
The technical solution of the present invention is further described in detail with reference to the accompanying drawings and examples.
The test model used in this embodiment is a 40MVA 110kV self-cooled transformer, the radiator of the transformer is a finned radiator, the radiator is installed beside the oil tank of the transformer, the cooling fluid used in the transformer is mineral oil, and the specific simulation model optimization steps are as follows:
first, as shown in fig. 1, the experimental data and the material properties of the fluid according to the present example are as follows:
height difference h between the center of the radiator and the center of the winding10.463m, height h of the heat sinkr=1.96m;
Ambient temperature θ measured in the temperature rise testaInlet mineral oil temperature rise Δ θ of radiator 20 ℃oic60K, outlet mineral oil temperature rise delta theta of radiatorooc=40K;
When the average temperature of the mineral oil is raised to 70 ℃, the thermal volume expansion coefficient beta of the mineral oilk=7.95×10-4DEG C, mineral oil density ρk=852kg/m-3
And secondly, simplifying the fluid state in the radiator into the equivalent self-cooling fluid pressure of the transformer body and the port of the radiator connecting pipeline by using an empirical formula, wherein the specific calculation steps are as follows:
temperature difference between inlet and outlet oil of radiator:
Δθco=Δθoic-Δθooc=(60-40)=20K
calculating the logarithmic mean temperature difference of oil to air in the finned radiator according to the temperature rise data:
Figure BDA0002984832890000051
the difference in the logarithmic mean temperature difference of the oil to the air in the radiator and the height of the center of the radiator:
Figure BDA0002984832890000061
area of radiator temperature circuit:
S=h1Δθco+hr(Δθoic-Δθo-a-0.5Δθco)=10.63m℃
according to the properties of the mineral oil, when the average temperature is highBeta at a temperature of 70 DEG Ck=7.95×10-4℃,ρk=852kg/m-3The equivalent self-cooling fluid pressure p as shown in fig. 2 is calculated:
p=8520×7.95×10-4×10.63=72Nm-2
third, p is 72Nm-2Solving the temperature field as the power boundary condition of the transformer winding fluid temperature field, and combining the solved result with delta thetaoic=60K、Δθooc40K and Δ θcoComparing the two items of the obtained result with 20K to judge whether the two items are mutually verified; if mutual verification is available, the solution result of the fluid temperature field is judged to be accurate, and a hot spot distribution diagram and a flow distribution diagram of the winding fluid are given; and if the two can not be mutually verified, recalculating the equivalent self-cooling fluid pressure p of the pipeline port, and then carrying out the solution of the fluid temperature field of the transformer winding again.
The invention provides an optimization method of a transformer winding fluid temperature field simulation model, which simplifies the fluid state in a radiator of a transformer into the equivalent self-cooling fluid pressure of a pipeline port by using an empirical formula according to the test data of a product and the material characteristics of fluid, and provides the corresponding relation between the equivalent self-cooling fluid pressure in the radiator and the temperature rise, the fluid density and the specific gravity; in the coupling calculation process of the fluid temperature field, the flow distribution and the hot point temperature rise of the fluid in the winding are accurately calculated by utilizing the equivalent self-cooling fluid pressure, so that the computer resources are saved, the calculation time is shortened, the simulation model is simplified, and the calculation accuracy of the fluid temperature field is improved.
In the description of the present invention, it is to be understood that the terms "intermediate", "length", "upper", "lower", "front", "rear", "vertical", "horizontal", "inner", "outer", "radial", "circumferential", and the like, indicate orientations and positional relationships that are based on the orientations and positional relationships shown in the drawings, are used for convenience in describing the present invention and for simplicity in description, and do not indicate or imply that the referenced devices or elements must have a particular orientation, be constructed and operated in a particular orientation, and therefore, are not to be construed as limiting the present invention.
In the present invention, unless otherwise expressly stated or limited, the first feature may be "on" the second feature in direct contact with the second feature, or the first and second features may be in indirect contact via an intermediate. "plurality" means at least two, e.g., two, three, etc., unless specifically limited otherwise.
The above description is for the purpose of illustrating embodiments of the invention and is not intended to limit the invention, and it will be apparent to those skilled in the art that any modification, equivalent replacement, or improvement made without departing from the spirit and principle of the invention shall fall within the protection scope of the invention.

Claims (10)

1. The optimization method of the transformer winding fluid temperature field simulation model is characterized in that according to test data of products and material characteristics of fluid, the fluid state in a radiator of a transformer is simplified into centralized parameters of pipeline ports by an empirical formula, and the centralized parameters are used for coupling calculation of a transformer winding fluid temperature field to obtain a hot spot distribution map and a flow distribution map of winding fluid.
2. The method of optimizing a transformer winding fluid temperature field simulation model according to claim 1, wherein the transformer comprises a self-cooled transformer.
3. The method of optimizing a transformer winding fluid temperature field simulation model according to claim 1, wherein the heat sink comprises a finned heat sink.
4. The method of optimizing a simulation model of a temperature field of a transformer winding fluid according to claim 1, wherein the fluid comprises mineral oil, natural ester vegetable oil, and synthetic ester oil.
5. The optimization method of the transformer winding fluid temperature field simulation model according to claim 1, wherein the pipeline port is a connection pipeline port of the transformer body and the radiator.
6. The method of optimizing a simulation model of a transformer winding fluid temperature field according to claim 1, wherein the lumped parameters comprise an equivalent self-cooling fluid pressure.
7. The method for optimizing a simulation model of a transformer winding fluid temperature field according to claim 1, wherein the test data of the product comprises an ambient temperature, an outlet fluid temperature rise of a radiator, an inlet fluid temperature rise of a radiator, a height of a winding, a height of a radiator, and a height difference between a center of the radiator and a center of the winding.
8. The method of optimizing a transformer winding fluid temperature field simulation model according to claim 1, wherein the material properties of the fluid include fluid density and thermal volume expansion coefficient of the fluid at an average temperature.
9. The method for optimizing a simulation model of a transformer winding fluid temperature field according to claim 1, wherein the step of simplifying the state of the fluid in the radiator of the transformer to the lumped parameters of the pipeline ports using an empirical formula comprises the steps of:
the first step is as follows: calculating the fluid temperature difference between the inlet and the outlet of the radiator, wherein the calculation formula is as follows:
Δθco=Δθoic-Δθooc
wherein, Delta thetacoIs the temperature difference of the fluid at the inlet and outlet of the radiator, Delta thetaoicFor fluid temperature rise at radiator inlet, Delta thetaoocThe temperature of the fluid at the outlet of the radiator is raised;
the second step is that: solving the logarithmic mean temperature difference of the fluid to the air in the radiator, wherein the calculation formula is as follows:
Figure FDA0002984832880000021
wherein, Delta thetao-aFor fluid to air in radiatorsThe logarithmic mean temperature difference of (d);
the third step: calculating the logarithmic mean temperature difference Delta thetao-aThe calculation formula of the height difference between the characteristic point of (1) and the center of the radiator is as follows:
Figure FDA0002984832880000022
wherein h is2Is a logarithmic mean temperature difference Delta thetao-aHeight difference between the characteristic point of (a) and the center of the heat sink, hrIs the height of the heat sink;
the fourth step: calculating the area of a radiator temperature loop, wherein the calculation formula is as follows:
S=h1Δθco+hr(Δθoic-Δθo-a-0.5Δθco)
wherein S is the area of the temperature loop of the radiator, h1The height difference between the radiator and the winding;
the fifth step: calculating the equivalent self-cooling fluid pressure of a pipeline port in the optimized simulation model, wherein the calculation formula is as follows:
p=ρkkS
where p is the equivalent auto-cooling fluid pressure of the pipeline port, ρkIs the density of the fluid at average temperature, betakIs the coefficient of thermal volume expansion of the fluid at the average temperature, and g is the coefficient of gravity.
10. The optimization method of the transformer winding fluid temperature field simulation model according to claim 1, wherein the coupling calculation refers to solving of the temperature field by using a centralized parameter as a power boundary condition of the transformer winding fluid temperature field; comparing the solving result with the fluid temperature rise at the inlet of the radiator, the fluid temperature rise at the outlet of the radiator and the fluid temperature difference between the inlet and the outlet of the radiator to judge whether the mutual verification exists; if mutual verification is available, the solution result of the fluid temperature field is judged to be accurate, and a hot spot distribution diagram and a fluid flow distribution diagram inside the winding are given; and if the two can not be verified mutually, recalculating the equivalent self-cooling fluid pressure of the pipeline port, and solving the fluid temperature field of the transformer winding again.
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