CN107563018A - Determine the method and device of insulating barrier optimum number of strata in cable thermal circuit model - Google Patents
Determine the method and device of insulating barrier optimum number of strata in cable thermal circuit model Download PDFInfo
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Abstract
The present invention relates to the method and device for determining insulating barrier optimum number of strata in cable thermal circuit model.Methods described includes：It is determined that insulation model layers, cable thermal circuit model is established according to the insulation model layers；State equation corresponding to cable thermal circuit model is determined, solves the temperature of each node and the temperature difference per two neighboring insulation model layers in cable thermal circuit model；The temperature difference for detecting whether two neighboring insulation model layers to be present is less than thermometric instruments accuracy value, if it is not, the number of plies of renewal insulation model layers, redefines the state equation and continue subsequent step；If so, the number of plies of current insulation model layers is obtained, as the insulating barrier optimum number of strata in cable thermal circuit model.Described device is device corresponding with the above method.The present invention, which can be calculated quickly, determines insulating barrier optimum number of strata, and the computational accuracy of the thermal circuit model conductor temperature thus calculated meets engineering demand.
Description
Technical field
The present invention relates to electronic circuit technology field, more particularly to insulating barrier optimum number of strata in determination cable thermal circuit model
Method and device.
Background technology
In the operational management of city transmission and distribution network, it is necessary to the real time execution situation of power distribution network is fully grasped, and to electricity
Cable Temperature Distribution is monitored on-line and calculated, and the accurate real time temperature for obtaining cable is so as to accurately calculate current-carrying capacity of cable, more
Suppress the situation that cable temperature overloads for a long time well.When being monitored on-line to cable temperature, usually through establishing the hot road of cable
The method of model obtains the real time temperature of cable conductor, when establishing cable thermal circuit model, cable insulation is divided into multiple exhausted
Edge unit, with the increase of insulating barrier hierarchy number, the conductor temperature that cable thermal circuit model calculates can be all the more close to actual value.But
It is after insulating barrier hierarchy number reaches certain value, to continue to increase hierarchy number by more than the accuracy value of thermometric instruments, and hot road
The solution difficulty of model is but improving constantly, and can influence the efficiency and difficulty of temperature computation.Therefore, finding one kind can realize to electricity
The solution method of the rapid solving of insulating barrier optimum number of strata is highly desirable in cable thermal circuit model.
The content of the invention
, can the invention provides the method and device for determining insulating barrier optimum number of strata in cable thermal circuit model based on this
Realize the rapid solving to insulating barrier optimum number of strata in cable thermal circuit model.
The present invention program includes：
A kind of method for determining insulating barrier optimum number of strata in cable thermal circuit model, including：
S1, at least two insulation model layers are determined by the insulating barrier of cable, according to described at least two insulation models point
Layer establishes cable thermal circuit model；S2, determine the state side corresponding to cable thermal circuit model under the currently number of plies of insulation model layers
Journey, solve the state equation and obtain the temperature of each node in cable thermal circuit model；S3, the temperature computation according to each node
Per the temperature difference of two neighboring insulation model layers；S4, detect whether that the temperature difference that two neighboring insulation model layers be present is small
In thermometric instruments accuracy value, if it is not, by the number of plies of current insulation model layers plus the setting number of plies, renewal insulation model point
The number of plies of layer, return to step S2；If so, the number of plies of current insulation model layers is obtained, as the insulation in cable thermal circuit model
Layer optimum number of strata.
A kind of device for determining insulating barrier optimum number of strata in cable thermal circuit model, including：
Thermal circuit model establishes module, for determining at least two insulation model layers by the insulating barrier of cable, according to described
At least two insulation model layers establish cable thermal circuit model；Temperature computation module, for determining in currently insulation model layers
The number of plies under state equation corresponding to cable thermal circuit model, solve the state equation and obtain each node in cable thermal circuit model
Temperature；Temperature difference computing module, the temperature for the temperature computation according to each node per two neighboring insulation model layers
Difference；And iteration optimization module, for detecting whether the temperature difference that two neighboring insulation model layers be present is less than temperature survey
Accuracy of instrument value, if it is not, the number of plies of current insulation model layers is updated into the number of plies of insulation model layers plus the number of plies is set,
Return to temperature computation module；If so, the number of plies of current insulation model layers is obtained, as the insulating barrier in cable thermal circuit model most
The excellent number of plies.
A kind of computer-readable recording medium, is stored thereon with computer program, and the program is realized when being executed by processor
The step of method described above.
A kind of computer equipment, including memory, processor and storage can be run on a memory and on a processor
Computer program, the step of realizing method described above during the computing device described program.
Above-mentioned technical proposal, insulation model layers are established into cable thermal circuit model, it is determined that in currently insulation model layers
State equation corresponding to cable thermal circuit model under the number of plies, solves the state equation and obtains the temperature of each node in cable thermal circuit model
Degree；Temperature difference according to the temperature computation of each node per two neighboring insulation model layers；Detect whether there is adjacent two
The temperature difference of individual insulation model layers is less than thermometric instruments accuracy value, if it is not, the number of plies of current insulation model layers is added
The upper setting number of plies, the number of plies of renewal insulation model layers, redefines insulation model layers, returns and solve cable thermal circuit model pair
The state equation and node temperature answered；If so, the number of plies of current insulation model layers is obtained, as exhausted in cable thermal circuit model
Edge layer optimum number of strata.The quick determination to the insulating barrier optimum number of strata in cable thermal circuit model is realized by using iterative method,
And the cable thermal circuit model determined by the insulating barrier optimum number of strata, can guarantee that the computational accuracy of thermal circuit model conductor temperature expires
Sufficient engineering demand.
Brief description of the drawings
Fig. 1 be an embodiment determination cable thermal circuit model in insulating barrier optimum number of strata method indicative flowchart；
Fig. 2 is the model layers schematic diagram of the cable insulation of an embodiment；
Fig. 3 is the schematic diagram of the Equivalent heat path model of the cable insulation of an embodiment；
Fig. 4 is the schematic diagram of the cable thermal circuit model of an embodiment；
Fig. 5 be an embodiment determination cable thermal circuit model in insulating barrier optimum number of strata method in iteration optimization process
Schematic diagram；
Fig. 6 be an embodiment determination cable thermal circuit model in insulating barrier optimum number of strata device structural representation；
Fig. 7 is iteration optimization module in the device of insulating barrier optimum number of strata in the determination cable thermal circuit model of an embodiment
Structural representation.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, it is right below in conjunction with drawings and Examples
The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and
It is not used in the restriction present invention.
Although the step in the present invention is arranged with label, it is not used to limit the precedence of step, unless
It specify that the order of step or based on the execution of certain step needs other steps, otherwise the relative rank of step is
It is adjustable.
The embodiment of the present invention provides a kind of method for determining insulating barrier optimum number of strata in cable thermal circuit model, methods described bag
Include step：At least two insulation model layers are determined by the insulating barrier of cable, built according to described at least two insulation model layers
Vertical cable thermal circuit model；It is determined that the state equation corresponding to cable thermal circuit model under the currently number of plies of insulation model layers, is solved
The state equation obtains the temperature of each node in cable thermal circuit model；According to the temperature computation of each node per two neighboring
The temperature difference of insulation model layers；The temperature difference for detecting whether two neighboring insulation model layers to be present is less than thermometric instruments
Accuracy value, if it is not, plus the number of plies is set the number of plies of current insulation model layers is updated into the number of plies of insulation model layers, again
It is determined that state equation corresponding to cable thermal circuit model and continue to complete subsequent step under the currently number of plies of insulation model layers；If
It is the number of plies for obtaining current insulation model layers, as the insulating barrier optimum number of strata in cable thermal circuit model.The embodiment of the present invention
The corresponding device for determining insulating barrier optimum number of strata in cable thermal circuit model is also provided.It is described in detail individually below.
Fig. 1 be an embodiment determination cable thermal circuit model in insulating barrier optimum number of strata method indicative flowchart.
Refer to accompanying drawing 1, the method for insulating barrier optimum number of strata mainly includes step in the determination cable thermal circuit model that the embodiment provides
Rapid S1 to step S4, is described in detail as follows：
S1, at least two insulation model layers are determined by the insulating barrier of cable, according to described at least two insulation models point
Layer establishes cable thermal circuit model.
In the described embodiment, the insulating layer material of the cable can be polyvinyl chloride, natural rubber, ethylene-propylene rubber,
Silicon rubber, crosslinked polyethylene etc., the present invention specific insulating layer material is not limited, it is only necessary to be cable insulation material i.e.
Can.Preferably, the insulating barrier of the cable includes independent insulating barrier, in addition to interior external shielding layer, is considered as insulating barrier in the lump.
In an alternative embodiment, the layered approach that at least two insulation model layers are determined by the insulating barrier of cable
Including：By equal thickness, etc. the insulating barrier of cable is divided at least two insulation models point in the way of thermal capacitance or thickness ratio
Layer.In one embodiment, it is described to determine the layering of at least two insulation model layers according to equal thickness by the insulating barrier of cable
Mode is carried out.Illustration 2 is referred to, Fig. 2 is that the layering being layered in the way of equal thickness to cable insulation is schematically tied
Cable insulation is divided into k layers by composition, Fig. 2 in the way of equal thickness, and the ring width of each model layers that insulate is identical.
At least two insulation model layers, the number of plies of the insulation model layers are determined for the insulating barrier by the cable
2,3,4 or other numerical value can be selected, need to only be more than or equal to 2 integer.In one embodiment, insulate model layers
For two layers, that is, the model layers that insulate calculate since 2 layers, follow-up to calculate progressive alternate again, until finding insulating barrier optimum number of strata.
The model layers learned principle and determine the cable are passed using heat, in addition to the model layers that insulate, pass through cable axial direction
Point on section on each thermoisopleth determines each model layers, refers to illustration 4, and Fig. 4 is the hot road of cable of the embodiment of the present invention
The schematic diagram of model.In embodiments of the present invention, the model layers include the conductor layer being sequentially distributed from inside to outside
401st, insulating barrier 402, lapping layer 403, air gap layer 404, metal sheath layer 405, external sheath layer 406 and outer skin 407, its
Middle A is conductor temperature, and B is ambient boundary temperature.
The model layers of the cable thermal circuit model include the model layers of insulating barrier, and the model layers of insulating barrier are in electricity
A part for the model layers of cable thermal circuit model.Wherein, the Equivalent heat path model of at least two insulation model layers please join
Seeing illustration 3, Fig. 3 is the schematic diagram of the cable thermal circuit model of the cable insulation of an embodiment, in Fig. 3, P1′、P2~Pk
Represent the dielectric loss of each insulation model after being layered；R1′、R2~RkRepresent the thermal resistance of each insulation model after being layered；C1′、C2~Ck
Represent the thermal capacitance of each insulation model after being layered.As shown in figure 4, cable thermal circuit model includes the cable thermal circuit model of insulating barrier.
S2, the state equation corresponding to cable thermal circuit model under the currently number of plies of insulation model layers is determined, described in solution
State equation obtains the temperature of each node in cable thermal circuit model.
In one embodiment, each model layers can be equivalent to cylinder wall construction, and combine heat transfer principle, unit of account
The thermal resistance R and thermal capacitance C of each model layers of length cables：
Wherein, λ is the thermal conductivity factor of material corresponding to model layers, and c is the volume specific heat of material corresponding to model layers
Hold, r1For the inside radius of the construction of cable, r2For the outer radius of the construction of cable.
Cable internal heat resource can be divided into three classes：The joule loss P1 of conductor, each insulation model layers dielectric loss difference
For P1′、P2~Pn-4；The circulation loss of protective metal shell (aluminium sheath) is Pn-1.From IEC60287.
Wherein, the calculation of the joule loss of conductor is：
P1=I2R；
Respectively the calculation of the dielectric loss of insulation model layers is：
The circulation loss calculation formula of protective metal shell is：
Pn-1=λ1P1
Wherein, I represents the electric current of cable conductor loading；R is the AC resistance of unit length of conductor；ω is that cable loading is negative
The frequency of lotus；Qi is the electric capacity of i-th of insulation model layers；Ui is the voltage of i-th of insulation model layers；Tg δ are insulation material
The dielectric loss angle tangent of material；λ 1 is the ratio of protective metal shell loss and conductor losses, can be obtained by empirical equation, typically taken
0.03。
The equivalent circular Cylinder wall structure and heat transfer principle of binding model layering, according to each mould of above formula unit of account length cables
The thermal resistance R and thermal capacitance C of type layering.Using the thermal circuit model of thermoelectricity analogy theory analysis cable, heat is arranged to each node in hot road
Equilibrium equation, then cable thermal circuit model can switch to state equation.
It is described to determine the cable thermal circuit model pair under the currently number of plies of insulation model layers in an alternative embodiment
The state equation answered, including：
It is determined that currently insulation model layers the number of plies under cable thermal circuit model the first heat transfer matrix A and second heat transfer square
Battle array B be：
The state equation of the cable thermal circuit model is built according to heat transfer matrix A and heat transfer matrix B：
P=[P1P1' P2 … Pn-5 Pn-4 0 0 Pn-1 0 te/Re]T；
Wherein, e represents the model layers sum included in cable thermal circuit model；N represents the sum of insulation model layers；t0
Represent the temperature of conductor layer；t1~tn-4Represent the temperature of each insulation model layers；tn-3Represent the temperature of lapping layer；tn-2Represent
The temperature of air gap layer；tn-1Represent the temperature of metal sheath layer；tnRepresent the temperature of external sheath layer；tn+1Represent the temperature of outer skin
Degree；C1Represent the thermal capacitance of conductor layer；C1′、C2~Cn-4Represent the thermal capacitance of each insulation model layers；Cn-3Represent the thermal capacitance of lapping layer；
Cn-2Represent the thermal capacitance of air gap layer；Cn-1The thermal capacitance of metal sheath layer；CnRepresent the thermal capacitance of outer jacket；CeRepresent the heat of outer skin
Hold；R1Represent the thermal resistance of conductor layer；R1’、R2~Rn-4Represent the thermal resistance of each insulation model layers；Rn-3Represent the thermal resistance of lapping layer；
Rn-2Represent the thermal resistance of air gap layer；Rn-1Represent the thermal resistance of metal sheath layer；RnRepresent the thermal resistance of outer jacket；ReRepresent outer skin
Thermal resistance；P1Represent the loss of conductor layer；P1′、P2~Pn-4Represent the dielectric loss of each insulation model layers；Pn-1Represent metal
The loss of restrictive coating.
It is determined that solve the shape after state equation corresponding to cable thermal circuit model under the currently number of plies of insulation model layers
State equation obtains the temperature of each node in cable thermal circuit model.
Alternatively, solving the state equation and obtaining the method for the temperature of each node in cable thermal circuit model to pass through
Java, C++, MATLAB or other Programming with Pascal Language calculate, it is also an option that other non-programmed methods calculate, the present invention is to asking
Solve the state equation and obtain the method for the temperature of each node in cable thermal circuit model and be not limited, as long as cable can be calculated
The temperature of each node in thermal circuit model.In one embodiment, the program of the state equation is write using MATLAB, is drawn
The temperature of each node in cable thermal circuit model.
S3, the temperature difference according to the temperature computation of each node per two neighboring insulation model layers.
S4, the temperature difference for detecting whether two neighboring insulation model layers to be present are less than thermometric instruments accuracy value, if
It is no, by the number of plies of current insulation model layers plus the setting number of plies, the number of plies of renewal insulation model layers, return to step S2；If
It is the number of plies for obtaining current insulation model layers, as the insulating barrier optimum number of strata in cable thermal circuit model.
Wherein, the thermometric instruments can select for thermocouple thermometer, resistance thermometer, radiation thermometer or
Other thermometric instruments, the present invention is not limited to thermometric instruments, as long as the temperature of cable can be measured.One
In embodiment, the thermometric instruments are thermocouple thermometer, and thermocouple thermometer accuracy is high, range ability is wide, are electricity
The conventional thermometer of cable temperature survey, can be compared with by the temperature difference in cable thermal circuit model compared with the precision of thermocouple thermometer
Judge whether the number of plies of current insulation model layers meets required precision well.
Wherein, the precision of the thermometric instruments can be selected as 0.1,0.5,1 DEG C or other precision, the present invention
The precision of the thermometric instruments is not limited.In one embodiment, the precision of the thermometric instruments is 0.1 DEG C,
When the temperature difference of two neighboring insulation model layers is less than the precision of thermometric instruments, the accurate area of measuring instrument can not be used
Divide the magnitude relationship of the two node temperatures.When the temperature difference of two neighboring insulation model layers is less than the survey of thermocouple thermometer
During 0.1 DEG C of accuracy of measurement, further the number of plies of increase insulation model layers is without clear meaning.
Wherein, the setting number of plies can select to set the number of plies not to described for 1,2,3,4 or other numerical value, the present invention
It is limited, only need to is integer.In one embodiment, the number of plies that sets is 1 layer, i.e.,：If two neighboring insulation is not present
The temperature difference of model layers is less than thermometric instruments accuracy value, then the number of plies of current insulation model layers is added into 1, renewal is exhausted
The number of plies of edge model layers, return to step S2.
Step S2~step S4 processes are to determine in cable thermal circuit model iteration optimization in the method for insulating barrier optimum number of strata
Process, refer to Fig. 5, Fig. 5 be an embodiment determination cable thermal circuit model in insulating barrier optimum number of strata method in iteration
The process schematic of optimization.By the number of plies iteration to the model layers that insulate and calculate the temperature per two neighboring insulation model layers
Degree is poor, determines the optimum number of strata of insulating barrier.
In one embodiment,
The step S1 of above-described embodiment can be：By cable insulation according to equal thickness model split for k insulate model
Layering, the ring width of each insulating unit is identical after division, and k values are undetermined.It is former according to thermal conduction study to the insulation model layers after division
Reason, establish the thermal circuit model of cable insulation.
The step S2 of above-described embodiment can be：According to heat transfer theory, the cable established under current insulation model hierarchy number
Thermal circuit model.K=n-4 is made, then corresponding cable thermal circuit model is as shown in Figure 4.Based on thermoelectricity analogy theory, to cable heat
Road model row write state equation.
Step S2 is specifically included：
S21, the manufacture craft from cable, each Rotating fields of cable can be equivalent to cylinder wall construction.With reference to thermal conduction study
Principle, the thermal resistance R and thermal capacitance C of each model layers of unit of account length cables：
Wherein, λ is the thermal conductivity factor of material corresponding to model layers, and c is the volume specific heat of material corresponding to model layers
Hold, r1For the inside radius of the construction of cable, r2For the outer radius of the construction of cable.
S22, using thermoelectricity analogy theory analysis cable thermal circuit model, to each node row equation of heat balance in hot road, then
Cable thermal circuit model can switch to state equation.
It is determined that currently insulation model layers the number of plies under cable thermal circuit model the first heat transfer matrix A and second heat transfer square
Battle array B be：
The state equation of the cable thermal circuit model is built according to heat transfer matrix A and heat transfer matrix B：
P=[P1 P1' P2 … Pn-5 Pn-4 0 0 Pn-1 0 te/Re]T；
Wherein, e represents the model layers sum included in cable thermal circuit model；N represents the sum of insulation model layers；t0
Represent the temperature of conductor layer；t1~tn-4Represent the temperature of each insulation model layers；tn-3Represent the temperature of lapping layer；tn-2Represent
The temperature of air gap layer；tn-1Represent the temperature of metal sheath layer；tnRepresent the temperature of external sheath layer；tn+1Represent the temperature of outer skin
Degree；C1Represent the thermal capacitance of conductor layer；C1′、C2~Cn-4Represent the thermal capacitance of each insulation model layers；Cn-3Represent the thermal capacitance of lapping layer；
Cn-2Represent the thermal capacitance of air gap layer；Cn-1The thermal capacitance of metal sheath layer；CnRepresent the thermal capacitance of outer jacket；CeRepresent the heat of outer skin
Hold；R1Represent the thermal resistance of conductor layer；R1’、R2~Rn-4Represent the thermal resistance of each insulation model layers；Rn-3Represent the thermal resistance of lapping layer；
Rn-2Represent the thermal resistance of air gap layer；Rn-1Represent the thermal resistance of metal sheath layer；RnRepresent the thermal resistance of outer jacket；ReRepresent outer skin
Thermal resistance；P1Represent the loss of conductor layer；P1′、P2~Pn-4Represent the dielectric loss of each insulation model layers；Pn-1Represent metal
The loss of restrictive coating.
Alternatively, initial insulation model hierarchy number k is set as 2.Solve the lower hot road of cable of current insulation model hierarchy number k values
The state equation of model, and state equation described in utilization MATLAB Programs, draw the temperature of each node of Equivalent heat path model.
The step S4 of above-described embodiment may include：Temperature difference of the record per adjacent two layers insulating unit, if temperature difference be present
Less than 0.1 DEG C of thermocouple thermometer measurement accuracy, then current hierarchical number k values are exported.K values are both to meet that computational accuracy requires and can
Realize the insulating barrier optimum number of strata quickly calculated；If being not present, setting hierarchy number k values plus 1, S2 is jumped to.
It should be noted that for foregoing each method embodiment, in order to which simplicity describes, it is all expressed as a series of
Combination of actions, but those skilled in the art should know, the present invention is not limited by described sequence of movement, because according to
According to the present invention, some steps can use other orders or carry out simultaneously.
Based on the method identical thought with insulating barrier optimum number of strata in the determination cable thermal circuit model in above-described embodiment,
The present invention also provides the device for determining insulating barrier optimum number of strata in cable thermal circuit model, and the device can be used for performing above-mentioned determination electricity
The method of insulating barrier optimum number of strata in cable thermal circuit model.For convenience of description, the optimal layer of insulating barrier in cable thermal circuit model is determined
In the structural representation of several device embodiments, the part related to the embodiment of the present invention, people in the art illustrate only
Member can include than illustrating more or less parts, or group it is appreciated that the restriction of schematic structure not structure twin installation
Close some parts, or different parts arrangement.
As described in Figure 6, determine that the device of insulating barrier optimum number of strata in cable thermal circuit model establishes module including thermal circuit model
601st, temperature computation module 602, temperature difference computing module 603 and iteration optimization module 604.
The thermal circuit model establishes module 601, for determining at least two insulation model layers, root by the insulating barrier of cable
Cable thermal circuit model is established according to described at least two insulation model layers.
In one embodiment, accompanying drawing 7 is referred to, the thermal circuit model, which establishes module 601, to be included：Dielectric layer submodule
701, for by equal thickness, etc. the insulating barrier of cable is divided at least two insulation models in the way of thermal capacitance or thickness ratio
Layering；Model setting up submodule 702, for passing the model layers learned principle and determine the cable using heat, according to the model
Cable thermal circuit model is established in layering.Alternatively, the model layers include be sequentially distributed from inside to outside conductor layer, insulating barrier,
Lapping layer, air gap layer, metal sheath layer, external sheath layer and outer skin.
The temperature computation module 602, for determining the cable thermal circuit model pair under the currently number of plies of insulation model layers
The state equation answered, solve the state equation and obtain the temperature of each node in cable thermal circuit model.
The temperature difference computing module 603, for the temperature computation according to each node per two neighboring insulation model
The temperature difference of layering.
The iteration optimization module 604, for detecting whether the temperature difference that two neighboring insulation model layers be present is less than
Thermometric instruments accuracy value, if it is not, by the number of plies of current insulation model layers plus the setting number of plies, renewal insulation model layers
The number of plies, return temperature computation module 602；If so, the number of plies of current insulation model layers is obtained, as in cable thermal circuit model
Insulating barrier optimum number of strata.
In one embodiment, the specific implementation principle of iteration optimization module 604 can refer to the process shown in Fig. 5.
In an alternative embodiment, the temperature computation module 602 includes：
Heat transfer matrix determination sub-module, for determining the of the cable thermal circuit model under the currently number of plies of insulation model layers
One heat transfer matrix A and the second heat transfer matrix B are：
State equation determination sub-module, for building the cable heat according to the first hot matrix A of biography and the second heat transfer matrix B
The state equation of road model：
P=[P1 P1' P2 … Pn-5 Pn-4 0 0 Pn-1 0 te/Re]T；
Wherein, e represents the model layers sum included in cable thermal circuit model；N represents the sum of insulation model layers；t0
Represent the temperature of conductor layer；t1~tn-4Represent the temperature of each insulation model layers；tn-3Represent the temperature of lapping layer；tn-2Represent
The temperature of air gap layer；tn-1Represent the temperature of metal sheath layer；tnRepresent the temperature of external sheath layer；tn+1Represent the temperature of outer skin
Degree；C1Represent the thermal capacitance of conductor layer；C1′、C2~Cn-4Represent the thermal capacitance of each insulation model layers；Cn-3Represent the thermal capacitance of lapping layer；
Cn-2Represent the thermal capacitance of air gap layer；Cn-1The thermal capacitance of metal sheath layer；CnRepresent the thermal capacitance of outer jacket；CeRepresent the heat of outer skin
Hold；R1Represent the thermal resistance of conductor layer；R1’、R2~Rn-4Represent the thermal resistance of each insulation model layers；Rn-3Represent the thermal resistance of lapping layer；
Rn-2Represent the thermal resistance of air gap layer；Rn-1Represent the thermal resistance of metal sheath layer；RnRepresent the thermal resistance of outer jacket；ReRepresent outer skin
Thermal resistance；P1Represent the loss of conductor layer；P1′、P2~Pn-4Represent the dielectric loss of each insulation model layers；Pn-1Represent metal
The loss of restrictive coating.
In one embodiment, the temperature computation module 602 also includes：
Resistance capacitance calculating sub module, for each model layers to be equivalent into cylinder wall construction, unit of account length cables
The thermal resistance R and thermal capacitance C of each model layers：
Wherein, λ is the thermal conductivity factor of material corresponding to model layers, and c is the volume specific heat of material corresponding to model layers
Hold, r1For the inside radius of the construction of cable, r2For the outer radius of the construction of cable.
And dielectric loss calculating sub module, the dielectric loss for calculating conductor are：
P1=I2R；
Calculate the dielectric loss of each insulation model layers：
And calculate the circulation loss of protective metal shell：
Pn-1=λ1P1
Wherein, I represents the electric current of cable conductor loading；R is the AC resistance of unit length of conductor；ω is that cable loading is negative
The frequency of lotus；Qi is the electric capacity of i-th of insulation model layers；Ui is the voltage of i-th of insulation model layers；Tg δ are insulation material
The dielectric loss angle tangent of material；λ 1 is the ratio of protective metal shell loss and conductor losses, can be obtained by empirical equation, typically taken
0.03。
It should be noted that in the determination cable thermal circuit model of above-mentioned example the device of insulating barrier optimum number of strata embodiment party
In formula, the contents such as the calculating of state equation, node temperature of Equivalent heat path model are enumerated, due to implementing with preceding method of the present invention
Example is based on same design, and its technique effect brought is identical with preceding method embodiment of the present invention, and particular content can be found in this hair
Narration in bright embodiment of the method, here is omitted.
In addition, in the determination cable thermal circuit model of above-mentioned example in the embodiment of the device of insulating barrier optimum number of strata, respectively
The logical partitioning of program module is merely illustrative of, can be as needed in practical application, such as the configuration for corresponding hardware
It is required that or software realization convenient consideration, above-mentioned function distribution is completed by different program modules, described will be determined
The internal structure of the device of insulating barrier optimum number of strata is divided into different program modules in cable thermal circuit model, to complete to retouch above
The all or part of function of stating.
It will appreciated by the skilled person that realizing all or part of flow in above-described embodiment method, being can
To instruct the hardware of correlation to complete by computer program, described program can be stored in a computer-readable storage and be situated between
In matter, as independent production marketing or use.Described program upon execution, can perform the complete of such as embodiment of above-mentioned each method
Portion or part steps.In addition, the storage medium may also be disposed in a kind of computer equipment, also wrapped in the computer equipment
Include processor, during program in storage medium described in the computing device, can realize above-mentioned each method embodiment it is complete
Portion or part steps.Wherein, described storage medium can be magnetic disc, CD, read-only memory (Read-Only
Memory, ROM) or random access memory (Random Access Memory, RAM) etc..
In the above-described embodiments, the description to each embodiment all emphasizes particularly on different fields, and does not have the portion being described in detail in some embodiment
Point, it may refer to the associated description of other embodiments.It is appreciated that wherein used term " first ", " second " etc. are at this
It is used to distinguish object in text, but these objects should not be limited by these terms.
Embodiment described above only expresses the several embodiments of the present invention, it is impossible to is interpreted as to the scope of the claims of the present invention
Limitation.It should be pointed out that for the person of ordinary skill of the art, without departing from the inventive concept of the premise,
Various modifications and improvements can be made, these belong to protection scope of the present invention.Therefore, the protection domain of patent of the present invention
It should be determined by the appended claims.
Claims (10)
- A kind of 1. method for determining insulating barrier optimum number of strata in cable thermal circuit model, it is characterised in that including：S1, at least two insulation model layers are determined by the insulating barrier of cable, built according to described at least two insulation model layers Vertical cable thermal circuit model；S2, the state equation corresponding to cable thermal circuit model under the currently number of plies of insulation model layers is determined, solve the state Equation obtains the temperature of each node in cable thermal circuit model；S3, the temperature difference according to the temperature computation of each node per two neighboring insulation model layers；S4, the temperature difference for detecting whether two neighboring insulation model layers to be present are less than thermometric instruments accuracy value, if it is not, will The number of plies of current insulation model layers is plus the setting number of plies, the number of plies of renewal insulation model layers, return to step S2；If so, obtain The number of plies of current insulation model layers is taken, as the insulating barrier optimum number of strata in cable thermal circuit model.
- 2. the method according to claim 1 for determining insulating barrier optimum number of strata in cable thermal circuit model, it is characterised in that institute State and at least two insulation model layers are determined by the insulating barrier of cable, including：By equal thickness, etc. the insulating barrier of cable is divided at least two insulation models point in the way of thermal capacitance or thickness ratio Layer.
- 3. the method according to claim 1 for determining insulating barrier optimum number of strata in cable thermal circuit model, it is characterised in that institute State and establish cable thermal circuit model according to described at least two insulation model layers, including：The model layers learned principle and determine the cable are passed using heat, what the model layers included being sequentially distributed from inside to outside leads Body layer, insulating barrier, lapping layer, air gap layer, metal sheath layer, external sheath layer and outer skin；Cable thermal circuit model is established according to the model layers.
- 4. the method according to claim 3 for determining insulating barrier optimum number of strata in cable thermal circuit model, it is characterised in that institute The model layers for being passed using heat and learning principle and determining the cable are stated, including：In addition to the model layers that insulate, each model layers are determined by the point on each thermoisopleth on cable axial cross section.
- 5. the method for insulating barrier optimum number of strata, its feature exist in the determination cable thermal circuit model according to claim 3 or 4 In, determination state equation corresponding to the cable thermal circuit model under the currently number of plies of insulation model layers, including：It is determined that currently insulation model layers the number of plies under cable thermal circuit model the first heat transfer matrix A and the second heat transfer matrix B For：<mrow> <mi>A</mi> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <mo>-</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>C</mi> <mn>1</mn> </msub> <msub> <mi>R</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mrow> </mtd> <mtd> <msup> <mrow> <mo>(</mo> <msub> <mi>C</mi> <mn>1</mn> </msub> <msub> <mi>R</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <msup> <mrow> <mo>(</mo> <msubsup> <mi>C</mi> <mn>1</mn> <mo>&prime;</mo> </msubsup> <msub> <mi>R</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mtd> <mtd> <mrow> <mo>-</mo> <msubsup> <mi>C</mi> <mn>1</mn> <mrow> <mo>&prime;</mo> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mrow> <mo>(</mo> <msubsup> <mi>R</mi> <mn>1</mn> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>R</mi> <mn>1</mn> <mrow> <mo>&prime;</mo> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <msup> <mrow> <mo>(</mo> <msubsup> <mi>C</mi> <mn>1</mn> <mo>&prime;</mo> </msubsup> <msubsup> <mi>R</mi> <mn>1</mn> <mo>&prime;</mo> </msubsup> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <msup> <mrow> <mo>(</mo> <msub> <mi>C</mi> <mn>2</mn> </msub> <msubsup> <mi>R</mi> <mn>1</mn> <mo>&prime;</mo> </msubsup> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mtd> <mtd> <mrow> <mo>-</mo> <msubsup> <mi>C</mi> <mn>2</mn> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mrow> <mo>(</mo> <msubsup> <mi>R</mi> <mn>1</mn> <mrow> <mo>&prime;</mo> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>R</mi> <mn>2</mn> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <msup> <mrow> <mo>(</mo> <msub> <mi>C</mi> <mn>2</mn> </msub> <msub> <mi>R</mi> <mn>2</mn> </msub> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mrow></mrow> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mrow></mrow> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mrow></mrow> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <msup> <mrow> <mo>(</mo> <msub> <mi>C</mi> <mi>n</mi> </msub> <msub> <mi>R</mi> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mtd> <mtd> <mrow> <mo>-</mo> <msubsup> <mi>C</mi> <mi>n</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mrow> <mo>(</mo> <msubsup> <mi>R</mi> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>R</mi> <mi>n</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <msup> <mrow> <mo>(</mo> <msub> <mi>C</mi> <mi>n</mi> </msub> <msub> <mi>R</mi> <mi>n</mi> </msub> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <msup> <mrow> <mo>(</mo> <msub> <mi>C</mi> <mi>e</mi> </msub> <msub> <mi>R</mi> <mi>n</mi> </msub> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mtd> <mtd> <mrow> <mo>-</mo> <msubsup> <mi>C</mi> <mi>e</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mrow> <mo>(</mo> <msubsup> <mi>R</mi> <mi>n</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>+</mo> <msubsup> <mi>R</mi> <mi>e</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>According to the state equation for passing the first hot matrix A and the second heat transfer matrix B structures cable thermal circuit model：<mrow> <mover> <mi>t</mi> <mo>&CenterDot;</mo> </mover> <mo>=</mo> <mi>A</mi> <mi>t</mi> <mo>+</mo> <mi>B</mi> <mi>P</mi> <mo>;</mo> </mrow><mrow> <mover> <mi>t</mi> <mo>&CenterDot;</mo> </mover> <mo>=</mo> <msup> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mfrac> <mrow> <msub> <mi>dt</mi> <mn>0</mn> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mtd> <mtd> <mfrac> <mrow> <msub> <mi>dt</mi> <mn>1</mn> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mtd> <mtd> <mfrac> <mrow> <msub> <mi>dt</mi> <mn>2</mn> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mtd> <mtd> <mn>...</mn> </mtd> <mtd> <mfrac> <mrow> <msub> <mi>dt</mi> <mi>n</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mtd> <mtd> <mfrac> <mrow> <msub> <mi>dt</mi> <mrow> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mtd> </mtr> </mtable> </mfenced> <mi>T</mi> </msup> <mo>;</mo> </mrow>P=[P1 P1' P2 … Pn-5 Pn-4 0 0 Pn-1 0 te/Re]T；Wherein, e represents the model layers sum included in cable thermal circuit model；N represents the sum of insulation model layers；t0Represent The temperature of conductor layer；t1~tn-4Represent the temperature of each insulation model layers；tn-3Represent the temperature of lapping layer；tn-2Represent air gap The temperature of layer；tn-1Represent the temperature of metal sheath layer；tnRepresent the temperature of external sheath layer；tn+1Represent the temperature of outer skin；C1 Represent the thermal capacitance of conductor layer；C1′、C2~Cn-4Represent the thermal capacitance of each insulation model layers；Cn-3Represent the thermal capacitance of lapping layer；Cn-2Table Show the thermal capacitance of air gap layer；Cn-1The thermal capacitance of metal sheath layer；CnRepresent the thermal capacitance of outer jacket；CeRepresent the thermal capacitance of outer skin；R1 Represent the thermal resistance of conductor layer；R1’、R2~Rn-4Represent the thermal resistance of each insulation model layers；Rn-3Represent the thermal resistance of lapping layer；Rn-2Table Show the thermal resistance of air gap layer；Rn-1Represent the thermal resistance of metal sheath layer；RnRepresent the thermal resistance of outer jacket；ReRepresent the heat of outer skin Resistance；P1Represent the loss of conductor layer；P1′、P2~Pn-4Represent the dielectric loss of each insulation model layers；Pn-1Represent protective metal shell The loss of layer.
- 6. the method according to claim 5 for determining insulating barrier optimum number of strata in cable thermal circuit model, it is characterised in that really It is scheduled under the number of plies of current insulation model layers before the first heat transfer matrix A and the second heat transfer matrix B of cable thermal circuit model, also Including：Each model layers are equivalent to cylinder wall construction, the thermal resistance R and thermal capacitance C of each model layers of unit of account length cables：<mrow> <mi>R</mi> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>&pi;</mi> <mi>&lambda;</mi> </mrow> </mfrac> <mo>&CenterDot;</mo> <mi>l</mi> <mi>n</mi> <mfrac> <msub> <mi>r</mi> <mn>2</mn> </msub> <msub> <mi>r</mi> <mn>1</mn> </msub> </mfrac> <mo>;</mo> </mrow><mrow> <mi>C</mi> <mo>=</mo> <mi>c</mi> <mi>&pi;</mi> <mrow> <mo>(</mo> <msubsup> <mi>r</mi> <mn>2</mn> <mn>2</mn> </msubsup> <mo>-</mo> <msubsup> <mi>r</mi> <mn>1</mn> <mn>2</mn> </msubsup> <mo>)</mo> </mrow> <mo>;</mo> </mrow>Wherein, λ be material corresponding to model layers thermal conductivity factor, c be material corresponding to model layers volumetric specific heat capacity, r1 For the inside radius of the construction of cable, r2For the outer radius of the construction of cable；Calculate the dielectric loss of conductor：P1=I2R；Calculate the dielectric loss of each insulation model layers：<mrow> <msub> <mi>P</mi> <mi>i</mi> </msub> <mo>=</mo> <msub> <mi>&omega;Q</mi> <mi>i</mi> </msub> <msubsup> <mi>U</mi> <mi>i</mi> <mn>2</mn> </msubsup> <mi>t</mi> <mi>g</mi> <mi>&delta;</mi> </mrow>And calculate the circulation loss of metal sheath layer：Pn-1=λ1P1Wherein, I represents the electric current of cable conductor loading；R is the AC resistance of unit length of conductor；ω is that cable loads load Frequency；Qi is the electric capacity of i-th of insulation model layers；Ui is the voltage of i-th of insulation model layers；Tg δ are insulating materials Dielectric loss angle tangent；λ 1 be metal sheath layer dielectric loss and conductor dielectric loss ratio.
- A kind of 7. device for determining insulating barrier optimum number of strata in cable thermal circuit model, it is characterised in that including：Thermal circuit model establishes module, for determining at least two insulation model layers by the insulating barrier of cable, according to it is described at least Two insulation model layers establish cable thermal circuit model；Temperature computation module, for determining the state side corresponding to cable thermal circuit model under the currently number of plies of insulation model layers Journey, solve the state equation and obtain the temperature of each node in cable thermal circuit model；Temperature difference computing module, the temperature for the temperature computation according to each node per two neighboring insulation model layers Difference；AndIteration optimization module, for detecting whether the temperature difference that two neighboring insulation model layers be present is less than thermometric instruments Accuracy value, if it is not, the number of plies of current insulation model layers the number of plies of renewal insulation model layers, is returned plus the setting number of plies Temperature computation module；If so, the number of plies of current insulation model layers is obtained, as the optimal layer of insulating barrier in cable thermal circuit model Number.
- 8. the device according to claim 7 for determining insulating barrier optimum number of strata in cable thermal circuit model, it is characterised in that institute Stating thermal circuit model and establishing module includes：Dielectric layer submodule, for by equal thickness, etc. the insulating barrier of cable is divided into the way of thermal capacitance or thickness ratio At least two insulation model layers；Model setting up submodule, for passing the model layers learned principle and determine the cable using heat, the model layers include Conductor layer, insulating barrier, lapping layer, air gap layer, metal sheath layer, external sheath layer and the exocuticle being sequentially distributed from inside to outside Layer；Cable thermal circuit model is established according to the model layers.
- 9. a kind of computer-readable recording medium, is stored thereon with computer program, it is characterised in that the program is held by processor The step of claim 1 to 6 any methods described is realized during row.
- 10. a kind of computer equipment, including memory, processor and storage are on a memory and the meter that can run on a processor Calculation machine program, it is characterised in that the step of any methods described of claim 1 to 6 is realized during the computing device described program Suddenly.
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