CN104732080B - A kind of approximate evaluation method of three-core cable packed layer Transient Thermal Circuit model - Google Patents
A kind of approximate evaluation method of three-core cable packed layer Transient Thermal Circuit model Download PDFInfo
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Abstract
The invention discloses a kind of approximate evaluation method of three-core cable packed layer Transient Thermal Circuit model, by the way that packed layer at three between core is symmetrically divided into two parts along cable radius direction, it is adiabatic between separated two parts packed layer, again respectively to along each section packed layer wicking surface circumferencial direction carry out according to equal thickness, etc. thermal capacitance, thickness compare successively, thermal capacitance successively than etc. four kinds of methods Transient Thermal Circuit model layers, that is, construct a core be layered in packed layer transmit heat Transient Thermal Circuit model.The inventive method is simple and easy to apply, can be widely used for the measurement and monitoring of three-core cable temperature.
Description
Technical field
The present invention relates to the technical field of power system, a kind of three-core cable packed layer Transient Thermal Circuit model is referred in particular to
Approximate evaluation method.
Background technology
At present, the evaluation mechanism of distribution network cable operation conditions is compared with for major network cable and imperfection.Large size city distribution electricity
It is relatively low that cable is faced with current-carrying capacity setting value, and operational management with being not so good as major network cable in terms of maintenance the problems such as, so as to cause distribution
Or cable does not make full use of its transport capacity, or being just abandoned the code current-carrying capacity setting upper limit, longtime running is in overload
In the case of.Overloading, flow operation is serious, and cable accelerated ageing easily causes cable fault, is the big prestige of Reliability of Power Supplying Net Work one
The side of body.GPRS distribution network cable operation conditions, realizes the real-time monitoring of distribution network cable, reliable distribution three-core cable conductor temperature meter
It is crucial at last.
The method for calculating distribution three-core cable conductor temperature both at home and abroad at present can be divided mainly into two major classes：Analytical algorithm sum
Value-based algorithm.Wherein analytical algorithm is mainly Re Lufa.
Re Lufa is according to, from conductor to cable surface characteristics of heat transfer, setting up thermal circuit model inside cable.Model is by representing
The elements such as thermal resistance, thermal capacitance, the thermal source of cable layers of material characteristic are constituted.Each layer during representing cable steady state heat transfer with thermal resistance
Inhibition of the material to cable radiation processes.The degree of accuracy of model parameter determines the accuracy of this method.Therefore three are calculated
Core cable filling layer thermal resistance is significant to calculating conductor temperature.
Have in IEC standard the calculation formula of correlation for thermal resistance, IEC standard be mainly by rule of thumb data to three-core cable
Layers of material thermal resistance carries out Equivalent Calculation, the Transient Thermal Circuit model of three-core cable is not studied, also not to error
Deployment analysis is produced, is theoretically unsound.
The content of the invention
It is an object of the invention to overcome the deficiencies of the prior art and provide a kind of three-core cable packed layer simple and easy to apply is temporary
The approximate evaluation method of state thermal circuit model, can be widely used for the measurement and monitoring of three-core cable temperature.
To achieve the above object, technical scheme provided by the present invention is：A kind of three-core cable packed layer Transient Thermal Circuit mould
The approximate evaluation method of type, it is characterised in that comprise the following steps：
1) packed layer between the every adjacent both threads core of three-core cable is symmetrically divided into two parts along cable radius direction, this
It is adiabatic between two parts, i.e., packed layer is being divided into transmission or exchange on two-part symmetry axis without heat；
2) to by step 1) separate after each section packed layer along wicking surface circumferencial direction be layered；
3) according to etc. thermal capacitance be that every layer of thermal capacitance value be equal, equal thickness i.e. per thickness degree equal, heat capacity ratio i.e. internal layer to outer layer
Thermal capacitance ratio is 1:2:... n, thickness ratio are internal layer to outer layer thickness ratio 1:2:... these four methods of n, build the temporary of packed layer
State thermal circuit model；
4) by being carried out to three-core cable packed layer after approximate processing, temperature rise that can be by being layered medial surface temperature later is approximate
Instead of the temperature rise of flood；
5) when heat is transmitted in core surface on packed layer, be considered as layering heat transfer, i.e. heat when packed layer is transmitted, be by
First layer reaches the second layer, then reaches third layer by the second layer, gradually analogizes, according to step 2) in subdivision situation carry out successively
Heat transfer.
In step 2) in, under stable thermal field, it is assumed that it is r respectively to have inside and outside radius1、r2Cylindrical wall, it is assumed that r1Place
Temperature maintain the t of homogeneous constant1DEG C, r2The temperature at place maintains the t of homogeneous constant2DEG C, using cylindrical-coordinate system (r, φ,
Z) heat transfer equation is built
Boundary condition r=r1When, t=t1, r=r2When, t=t2
The Temperature Distribution of cable cylindrical wall under thermal field stable case can be obtained by substituting into boundary condition：
Derivation can be obtained：
From above formula, the radius r of cylindrical wall is smaller, and the thermograde on the cylindrical wall is bigger, therefore, to reduce to filling out
Fill after layer layered shaping, the inconsistency of last layer and next layer of interior temperature outside temperature rise rate, packed layer should be carried out thin
Point, it is contemplated that cable is built-in thermal source, and the smaller thermogrades being then layered of radius r are bigger in theory, answer subdivision thinner,
And subdivision more detailed rules and regulations model accuracy is higher；
In step 4) in, build Transient Thermal Circuit distributed parameter model, it is assumed that two layers of packed layer up and down of subdivision is with core
The heart is that the radius of origin is r1And r2, then the heat for being stored in thermal capacitance is：
In formula, c is the electric capacity of cable unit length；D τ are time interval；Represent r1To r2Between cylindrical wall in time d τ
Interior average temperature rising；
In the packed layer of subdivision, radius r1And r2Between the energy conservation equation of part be：
In formula, λ is the thermal conductivity factor of packed layer, unit K m/W；PiFor the heat for the packed layer for flowing into institute's subdivision；PPFor
The heat that the packed layer of institute's subdivision is produced；PRTo flow through the heat of packed layer thermal resistance；PCTo be stored in the heat of packed layer thermal capacitance.
In step 5) in, heat is uniform in the transmission of each interlayer, i.e., heat can be reached equably by last layer
Next layer.
The present invention compared with prior art, has the following advantages that and beneficial effect：
1st, the invention provides a kind of method for building packed layer Transient Thermal Circuit model, it can be widely used for three-core cable
The on-line monitoring of conductor temperature；
2nd, the present invention is that the equivalent foundation of thermal circuit model of three-core cable and the calculating of core temperature and current-carrying capacity of cable are ground
Study carefully there is provided new thinking.
Brief description of the drawings
Fig. 1 is that packed layer is layered schematic diagram.
Fig. 2 is packed layer Transient Thermal Circuit distributed parameter model after layering.
Embodiment
With reference to specific embodiment, the invention will be further described.
The approximate evaluation method of three-core cable packed layer Transient Thermal Circuit model described in the present embodiment, its concrete condition is such as
Under：
1) as shown in figure 1, the packed layer between the every adjacent both threads core of three-core cable is symmetrically divided along cable radius direction
It is adiabatic into two parts, between this two parts, i.e., packed layer is being divided into the biography on two-part symmetry axis without heat
Pass or exchange.
2) to by step 1) separate after each section packed layer along wicking surface circumferencial direction be layered.In stabilization
Under thermal field, it is assumed that it is r respectively to have inside and outside radius1、r2Cylindrical wall, it is assumed that r1The temperature at place maintains the t of homogeneous constant1DEG C, r2
The temperature at place maintains the t of homogeneous constant2DEG C, using cylindrical-coordinate system, (r, φ z) build heat transfer equation
Boundary condition r=r1When, t=t1, r=r2When, t=t2
The Temperature Distribution of cable cylindrical wall under thermal field stable case can be obtained by substituting into boundary condition：
Derivation can be obtained：
From above formula, the radius r of cylindrical wall is smaller, and the thermograde on the cylindrical wall is bigger, therefore, to reduce to filling out
Fill after layer layered shaping, the inconsistency of last layer and next layer of interior temperature outside temperature rise rate, packed layer should be carried out thin
Point, it is contemplated that cable is built-in thermal source, and the smaller thermogrades being then layered of radius r are bigger in theory, answer subdivision thinner,
And subdivision more detailed rules and regulations model accuracy is higher.
3), can be with for the number for obtaining the optimum modeling method of packed layer and packed layer should be specifically layered under this methodology
According to etc. thermal capacitance be that every layer of thermal capacitance value be equal, i.e. per thickness degree, equal, heat capacity ratio i.e. internal layer to outer layer thermal capacitance ratio is equal thickness
1:2:... n, thickness ratio are internal layer to outer layer thickness ratio 1:2:... these four methods of n, build the Transient Thermal Circuit model of packed layer.
4) by being carried out to three-core cable packed layer after approximate processing, temperature rise that can be by being layered medial surface temperature later is approximate
Instead of the temperature rise of flood.Build Transient Thermal Circuit distributed parameter model, as shown in Figure 2, it is assumed that two layers of packed layer up and down of subdivision with
Core center is that the radius of origin is r1And r2, then the heat for being stored in thermal capacitance is：
In formula, c is the electric capacity of cable unit length；D τ are time interval；Represent r1To r2Between cylindrical wall in time d τ
Interior average temperature rising；
In the packed layer of subdivision, radius r1And r2Between the energy conservation equation of part be：
In formula, λ is the thermal conductivity factor of packed layer, unit K m/W；PiFor the heat for the packed layer for flowing into institute's subdivision；PPFor
The heat that the packed layer of institute's subdivision is produced；PRTo flow through the heat of packed layer thermal resistance；PCTo be stored in the heat of packed layer thermal capacitance.
5) when heat is transmitted in core surface on packed layer, be considered as layering heat transfer, i.e. heat when packed layer is transmitted, be by
First layer reaches the second layer, then reaches third layer by the second layer, gradually analogizes, according to step 2) in subdivision situation carry out successively
Heat transfer.
In summary, the inventive method to three-core cable packed layer by being layered, so as to packed layer Transient Thermal Circuit
Model optimizes analysis, and further correction model parameter reduces the calculation error of model.Therefore, it is this that three-core cable is filled out
Fill layer approximate evaluation method of Transient Thermal Circuit model and calculate conductor temperature for accurate, and then realize the measurement of distribution network cable temperature
It is significant with the evaluation mechanism that monitors, improve distribution network cable operation conditions in real time, it is the equivalent thermal circuit model of three-core cable
Foundation and the calculating research of core temperature and current-carrying capacity of cable provide new thinking, be worthy to be popularized.
Examples of implementation described above are only the preferred embodiments of the invention, and the implementation model of the present invention is not limited with this
Enclose, therefore the change that all shape, principles according to the present invention are made, it all should cover within the scope of the present invention.
Claims (3)
1. a kind of approximate evaluation method of three-core cable packed layer Transient Thermal Circuit model, it is characterised in that comprise the following steps：
1) packed layer between the every adjacent both threads core of three-core cable is symmetrically divided into two parts along cable radius direction, this two
/ be adiabatic, i.e., packed layer is being divided into transmission or exchange on two-part symmetry axis without heat；
2) to by step 1) separate after each section packed layer along wicking surface circumferencial direction be layered；
3) according to etc. thermal capacitance be that every layer of thermal capacitance value be equal, equal thickness i.e. per thickness degree equal, heat capacity ratio i.e. internal layer to outer layer thermal capacitance
Ratio is 1:2:N, thickness ratio are internal layer to outer layer thickness ratio 1:2:These four methods of n, build packed layer
Transient Thermal Circuit model；
4) by being carried out to three-core cable packed layer after approximate processing, the temperature rise of medial surface temperature can approximately it be replaced after layering
The temperature rise of flood；
5) when heat is transmitted in core surface on packed layer, it is considered as layering heat transfer, i.e., heat, when packed layer is transmitted, is by first
Layer reaches the second layer, then reaches third layer by the second layer, gradually analogizes, according to step 2) in subdivision situation carry out successively heat
Transmission.
2. a kind of approximate evaluation method of three-core cable packed layer Transient Thermal Circuit model according to claim 1, its feature
It is：In step 2) in, under stable thermal field, it is assumed that it is r respectively to have inside and outside radius1、r2Cylindrical wall, it is assumed that r1The temperature at place
Degree maintains the t of homogeneous constant1DEG C, r2The temperature at place maintains the t of homogeneous constant2DEG C, utilize cylindrical-coordinate system (r, φ, z) structure
Build heat transfer equation
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The Temperature Distribution of cable cylindrical wall under thermal field stable case can be obtained by substituting into boundary condition：
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From above formula, the radius r of cylindrical wall is smaller, and the thermograde on the cylindrical wall is bigger, therefore, to reduce to packed layer
After layered shaping, the inconsistency of last layer and next layer of interior temperature outside temperature rise rate, reply packed layer is finely divided, and is examined
It is built-in thermal source to consider cable, and the smaller thermogrades being then layered of radius r are bigger in theory, answer subdivision thinner, and cut open
Divide more detailed rules and regulations model accuracy higher；
In step 4) in, build Transient Thermal Circuit distributed parameter model, it is assumed that two layers of packed layer up and down of subdivision using core center as
The radius of origin is r1And r2, then the heat for being stored in thermal capacitance is：
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In formula, c is the electric capacity of cable unit length；D τ are time interval；Represent r1To r2Between cylindrical wall in time d τ
Average temperature rising；
In the packed layer of subdivision, radius r1And r2Between the energy conservation equation of part be：
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1
In formula, λ is the thermal conductivity factor of packed layer, unit K m/W；PiFor the heat for the packed layer for flowing into institute's subdivision；PPTo be cutd open
The heat that the packed layer divided is produced；PRTo flow through the heat of packed layer thermal resistance；PCTo be stored in the heat of packed layer thermal capacitance.
3. a kind of approximate evaluation method of three-core cable packed layer Transient Thermal Circuit model according to claim 1, its feature
It is：In step 5) in, heat is uniform in the transmission of each interlayer, i.e., heat equably can be reached next by last layer
Layer.
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| CN108801501B (en) * | 2018-04-09 | 2019-10-01 | 重庆大学 | Cable core thermometry based on temperature gradient and thermal power conduction model |
| DE102020117588B4 (en) | 2020-07-03 | 2022-05-05 | Leoni Kabel Gmbh | Method for determining a dynamic temperature distribution over the cross-section and the length of a high-current cable |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102323997A (en) * | 2011-09-29 | 2012-01-18 | 广东电网公司广州供电局 | Method and device for calculating conductor temperature of cable |
| CN103245691A (en) * | 2013-04-15 | 2013-08-14 | 华南理工大学 | Method for measuring thermal resistance of three-core cable packing layer |
| CN103913652A (en) * | 2014-03-10 | 2014-07-09 | 华南理工大学 | Steady-state iteration measuring method for current-carrying capacity of cable |
| CN104198077A (en) * | 2014-08-29 | 2014-12-10 | 华南理工大学 | Method for calculating real-time conductor temperature of three-core cable |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| US7777636B2 (en) * | 2007-03-29 | 2010-08-17 | Broadcom Corporation | System and method for continual cable thermal monitoring using cable characteristic considerations in power over Ethernet |
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Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102323997A (en) * | 2011-09-29 | 2012-01-18 | 广东电网公司广州供电局 | Method and device for calculating conductor temperature of cable |
| CN103245691A (en) * | 2013-04-15 | 2013-08-14 | 华南理工大学 | Method for measuring thermal resistance of three-core cable packing layer |
| CN103913652A (en) * | 2014-03-10 | 2014-07-09 | 华南理工大学 | Steady-state iteration measuring method for current-carrying capacity of cable |
| CN104198077A (en) * | 2014-08-29 | 2014-12-10 | 华南理工大学 | Method for calculating real-time conductor temperature of three-core cable |
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