CN105205229B - A kind of current-carrying capability dynamic assessment method that high voltage single-core cable is met an urgent need under load - Google Patents

A kind of current-carrying capability dynamic assessment method that high voltage single-core cable is met an urgent need under load Download PDF

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CN105205229B
CN105205229B CN201510556742.7A CN201510556742A CN105205229B CN 105205229 B CN105205229 B CN 105205229B CN 201510556742 A CN201510556742 A CN 201510556742A CN 105205229 B CN105205229 B CN 105205229B
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high voltage
core cable
voltage single
current
conductor
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CN105205229A (en
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沈培锋
许洪华
王春宁
李超群
马宏忠
赵轩
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State Grid Corp of China SGCC
State Grid Jiangsu Electric Power Co Ltd
Hohai University HHU
Nanjing Power Supply Co of Jiangsu Electric Power Co
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State Grid Corp of China SGCC
State Grid Jiangsu Electric Power Co Ltd
Hohai University HHU
Nanjing Power Supply Co of Jiangsu Electric Power Co
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Abstract

It meets an urgent need the current-carrying capability dynamic assessment method under load the present invention relates to a kind of high voltage single-core cable, belongs to my technical field for measuring electric variable.Steps are as follows for this method execution:1)The Transient Thermal Circuit model of the high voltage single-core cable is built based on thermal conduction study basic principle;2)Determine that the step current temperature of the Transient Thermal Circuit model rises each variate-value in expression formula and step current temperature liter expression formula by the Transient Thermal Circuit model;3)The time undergone when cable temperature reaches 90 DEG C is calculated, carries out the assessment of current-carrying capability under emergent load condition to high voltage single-core cable with this.This method is based on the Temperature Rising Law variation to high voltage single-core cable, according to the inside dimension parameter and material property of different high voltage single-core cables, the temperature for establishing step current rises expression formula, the time that the high voltage single-core cable can be supported in emergency load cable is assessed with this, for power scheduling provides reference.

Description

A kind of current-carrying capability dynamic assessment method that high voltage single-core cable is met an urgent need under load
Technical field
The present invention relates to a kind of high voltage single-core cable current-carrying capability dynamic assessment method, belong to my technology for measuring electric variable Field.
Background technology
Cable conductor temperature is the important evidence for judging cable actual motion state and practical current-carrying capability.
The dynamic evaluation key of current-carrying capability is the calculating to conductor transient-state temperature point under the emergent load of high voltage single-core cable Analysis, existing main method are:Analytic method based on building Transient Thermal Circuit model and based on the principles such as finite element Numerical method.
The analytic method based on Transient Thermal Circuit is built, usually there are following several analysis methods:1) Transient Thermal Circuit is simplified For the hot road of single order, transient state temperature heat-up time constant is solved, the calculating error of this method increases;2) it is carried out using Laplace operations The calculating of Transient calculation, this method is complicated;3) it uses neural network to carry out conductor temperature reckoning, but needs a large amount of reliable data Initialize network structure and weights.
And by finite element be based on numerical computation method have many advantages, such as computational accuracy height, speed is fast, but need Different solution domain models is established according to different laying environment, flexibility is portable poor.
Invention content
The technical problem to be solved by the present invention is in view of the shortcomings of the prior art, propose that a kind of high voltage single-core cable is being met an urgent need Current-carrying capability dynamic assessment method under load condition.
The technical solution that the present invention proposes to solve above-mentioned technical problem is:A kind of high voltage single-core cable is met an urgent need under load Current-carrying capability dynamic assessment method, steps are as follows for execution:
1) the thermal conduction study Transient Thermal Circuit model of high voltage single-core cable is built;
2) determine that the step current temperature of the Transient Thermal Circuit model rises expression formula and the rank by the Transient Thermal Circuit model Each variate-value in the current temperature rise expression formula that jumps, the step current temperature rise expression formula and are Wherein variable ai(i=1~4) are the transient state temperature increasing degree value of the high voltage single-core cable conductor, τi(i=1~4) are the high pressure The thermal time constant of single-core cable conductor, θ1(Im) indicate step current ImSteady-state component, θ1(Ip) indicate in emergent load electricity Flow IpThe steady temperature of the high voltage single-core cable conductor under continuous action, θ1(I0) indicate the high voltage single-core cable conductor In initial current I0Conductor initial temperature under effect, θ1(t) the high voltage single-core cable conductor after expression elapsed-time standards t Temperature;
3) θ in step 2) is enabled1(t)=90 it DEG C, obtains high voltage single-core cable conductor and reaches stability limitation temperature to be undergone Time t, current-carrying capability of the high voltage single-core cable under emergent load condition is determined as power according to time t size Measure assessment result.
The improvement of above-mentioned technical proposal:The Transient Thermal Circuit model is simplified using reduction processing, is equivalent to only have The hot road simplified model of second order under the high voltage single-core cable conductor losses effect.
The improvement of above-mentioned technical proposal:Coefficient matrices A in the hot road simplified model of second order and coefficient matrix B,R1=Ri;R2=qRe;C1=Ccu+pi·Ci;C2=(1-pi)Ci+ Cs/q+pe·Ce/ q, wherein RiFor insulation specific thermal resistance, the R of the high voltage single-core cableeFor the outer shield of the high voltage single-core cable Cover specific thermal resistance;CcuFor the conductor unit thermal capacitance of the high voltage single-core cable, CiFor the insulation unit of the high voltage single-core cable Thermal capacitance, CsFor the metal sheath unit thermal capacitance of the high voltage single-core cable, CeFor the oversheath unit heat of the high voltage single-core cable Hold;piFor insulating layer thermal capacitance distribution coefficient, peFor oversheath thermal capacitance distribution coefficient;Ratio q=(Q are lostc+Qs)/Qc, wherein QcFor The conductor unit loss of the high voltage single-core cable, QiFor the insulation specific loss of the high voltage single-core cable, QsFor the high pressure The metal sheath specific loss of single-core cable.
The improvement of above-mentioned technical proposal:pi、peCalculation formula be:
In formula, dcFor the conductor diameter of the high voltage single-core cable;DiFor the outer insulation diameter of the high pressure single conductor;Ds For the metal sheath outer diameter of the high voltage single-core cable;DeFor the outside diameter of cable of the high voltage single-core cable, unit mm.
The improvement of above-mentioned technical proposal:The inside dimension relating to parameters of the coefficient matrices A and the high voltage single-core cable, The coefficient matrix B is related with the material property of the high voltage single-core cable.
The improvement of above-mentioned technical proposal:When the volume for answering the anxious load current to be more than the high voltage single-core cable in step 3) When constant current, then enable the θ in step 2)1DEG C (t)=90.
The improvement of above-mentioned technical proposal:High voltage single-core cable cable core conductor, insulating layer, metal is separated into step 1) to protect Layer, cable jacket;The thermal conduction study Transient Thermal Circuit model contains lossy, thermal resistance and thermal capacitance;The loss includes conductor unit Q is lostc, insulation specific loss Qi, metal sheath specific loss Qs;The thermal resistance includes insulation specific thermal resistance Ri, oversheath unit Thermal resistance ReCharacterize thermal resistance;The thermal capacitance includes conductor unit thermal capacitance Ccu, insulation unit thermal capacitance Ci, metal sheath unit thermal capacitance CsAnd Oversheath unit thermal capacitance Ce
The beneficial effects of the invention are as follows:This method is based on the Temperature Rising Law variation to high voltage single-core cable, according to different height The inside dimension parameter and material property for pressing single-core cable, the temperature for establishing step current are risen expression formula, are corresponded to this The emergent load lower conductor temperature of high voltage single-core cable reach the time needed for stability limitation, which is assessed with this The time that cable can be supported in emergency load cable provides reference for power scheduling.
Therefore this method, which does not need to a large amount of reference value and complicated operation, can realize the load of high voltage single-core cable The assessment of stream ability.
Description of the drawings
The invention will be further described below in conjunction with the accompanying drawings:
Fig. 1 is the principle schematic of the method for the present invention.
Fig. 2 is the high-tension cable Transient Thermal Circuit model of the embodiment of the present invention.
Fig. 3 is the Transient Thermal Circuit model after the optimization of Fig. 1.
Fig. 4 is the second order thermal circuit model after the Transient Thermal Circuit model simplification of Fig. 3.
Fig. 5 is the dynamic evaluation curve for applying load of meeting an urgent need at 40 DEG C of moment of conductor temperature.
Specific implementation mode
The current-carrying capability dynamic assessment method that a kind of high voltage single-core cable of the present embodiment is met an urgent need under load executes step such as Under:
1) the Transient Thermal Circuit model of high voltage single-core cable is built based on thermal conduction study basic principle;
2) determine that the step current temperature of Transient Thermal Circuit model rises expression formula and step current temperature by Transient Thermal Circuit model Each variate-value in expression formula is risen, step current temperature rises expression formula and isWherein variable ai(i=1~4) are the transient state temperature increasing degree value of high voltage single-core cable conductor, τi(i=1~4) are the heat of high voltage single-core cable conductor Time constant, θ1(Im) indicate step current ImSteady-state component, θ1(Ip) indicate in emergent load current IpUnder continuous action The steady temperature of high voltage single-core cable conductor, θ1(I0) indicate high voltage single-core cable conductor in initial current I0Conductor under effect Initial temperature, θ1(t) temperature of high voltage single-core cable conductor after elapsed-time standards t is indicated;
3) θ in step 2) is enabled1(t)=90 it DEG C, obtains high voltage single-core cable conductor and reaches stability limitation temperature to be undergone Time t, the assessment of current-carrying capability under emergent load condition is carried out to high voltage single-core cable by time t.
The present embodiment simplifies Transient Thermal Circuit model using reduction processing, is equivalent to only high voltage single-core cable conductor The hot road simplified model of second order under loss effect, as shown in Figure 4.
Coefficient matrices A in the hot road simplified model of the present embodiment second order and coefficient matrix B,R1=Ri;R2=qRe;C1=Ccu+pi·Ci;C2=(1-pi)Ci+ Cs/q+pe·Ce/ q, wherein RiFor insulation specific thermal resistance, the R of high voltage single-core cableeFor the oversheath unit heat of high voltage single-core cable Resistance;CcuFor the conductor unit thermal capacitance of high voltage single-core cable, CiFor the insulation unit thermal capacitance of high voltage single-core cable, CsFor high pressure single The metal sheath unit thermal capacitance of cable, CeFor the oversheath unit thermal capacitance of high voltage single-core cable;piIt is distributed for insulating layer thermal capacitance and is Number, peFor oversheath thermal capacitance distribution coefficient;Ratio q=(Q are lostc+Qs)/Qc, wherein QcFor the conductor unit of high voltage single-core cable Loss, QiFor the insulation specific loss of high voltage single-core cable, QsFor the metal sheath specific loss of high voltage single-core cable.
The p of the present embodimenti、peCalculation formula be:
In formula, dcFor the conductor diameter of high voltage single-core cable;DiFor the outer insulation diameter of high pressure single conductor;DsFor high pressure list The metal sheath outer diameter of core cable;DeFor the outside diameter of cable of high voltage single-core cable, unit mm.
The coefficient matrices A of the present embodiment and the inside dimension relating to parameters of high voltage single-core cable, coefficient matrix B and high pressure list The material property of core cable is related.
In the step 3) of the present embodiment when emergent load current is more than the rated current of high voltage single-core cable, then enable step 2) θ in1DEG C (t)=90.
Time time t of the present embodiment is bigger, and working time of the high voltage single-core cable under emergent load condition is longer.
The value of the time t of the present embodiment is bigger, and current-carrying capability of the high voltage single-core cable under emergent load condition is stronger.This The principle of method is as shown in Figure 1, the current-carrying for carrying out cable with formula by the assessment derived is assessed.
As shown in Fig. 2, the Transient Thermal Circuit model in the step of the present embodiment (1) is followed successively by from inside to outside:Core is led Body, insulating layer, metal sheath, cable jacket;It is wherein lost and includes:Q is lost in conductor unitc, insulation specific loss Qi, metal Sheath specific loss Qs;Thermal resistance includes:Insulate specific thermal resistance Ri, oversheath specific thermal resistance Re;Thermal capacitance includes:Conductor unit thermal capacitance Ccu, insulation unit thermal capacitance Ci, metal sheath unit thermal capacitance CsAnd oversheath unit thermal capacitance Ce
The Transient Thermal Circuit model of high voltage single-core cable after the present embodiment optimization is as shown in Figure 2.Cable dimension in embodiment And laying parameter is as shown in table 1, table 2.
Table 1
Table 2
In conjunction with the parameter of table 1, table 2, acquired according to the calculation formula of thermal resistance:Ri=0.72, Re=0.07585, unit is m·K/W;Calculation formula according to thermal capacitance solves to obtain:Ccu=899.3, Ci=3699.7, Cs=3884.7, Ce=1456.7, Unit is J/ (Km).
Thermal capacitance distribution coefficient is:
Fig. 3 is seen on the hot road of second order after simplification.Since cable metal sheath is using mode single-end earthed, ignore circulation loss, Q=1 is enabled, the hot road parameter of obtained second order is:R1=0.72, R2=Re=0.07585 (unit mK/W);C1=2040.7, C2 =7148.1 (unit J/ (Km)).
According to second order thermal circuit model, with cable conductor temperature, metal sheath temperature is quantity of state, obtains continuous state side Journey, and bring data into and obtain:
By the formula progress sliding-model control for solving obtained state equation and being provided in step before middle before, setting Sampling time interval be 240s, obtain:
Step current, which applies process, in embodiment is:
1) apply the continuous loading electric current (I of 300A to cable0=300A), continuous service 50 hours, it is ensured that cable conductor Temperature reaches stable state.Monitoring obtained conductor steady temperature is:41.65℃.
2) after cable conductor temperature reaches steady temperature, apply the emergent step current (I of 600Am=600A), continuous service 50 hours, using conductor temperature discrete formula, the cable conductor temperature for calculating this step process rose data.What is be calculated is steady State temperature is:87.13℃.
Entire step temperature rises process and terminates, and cable conductor temperature rises increment and is:87.13-41.65=45.48 DEG C.According to before The data process of fitting treatment step transient state temperature rises data, and obtained transient state Wen Sheng changes with time relationship as follows (with step Electric current applies the moment as starting point):
41.65 DEG C of cable steady temperature under known 300A follow currents, 87.13 DEG C of steady temperature under 600A follow currents, The cable run of normal operation, laying environment are stablized relatively, and hot parameter is held essentially constant, the electricity provided according to step (5) Functional relation derivation formula between cable steady temperature and steady-state current obtains any electric current IpCable conductor under continuous action Steady temperature is:
It is 614A that can obtain cable continuous service rated current-carrying capacity according to above formula.
Expression formula is risen in conjunction with the cable conductor temperature being fitted by data, and component pair is risen according to each temperature of the foregoing description The weight that temperature rise of conductor is contributed is constant, and the derivation principle that warm heat-up time constant remains unchanged, and derives more general Emergent load under IpThe lower cable conductor temperature of effect rises expression formula:
Wherein, θ1(0) cable conductor initial temperature is indicated.
Further to verify the accuracy of the present invention, design is to apply 900A, 1000A respectively at 40 DEG C of moment in conductor temperature Emergent load (being all higher than lasting rated current-carrying capacity).The method provided according to the present invention obtains transient state temperature liter Expression formula:
Emergent load current is 900A:
Emergent load current is 1000A:
Expression formula is risen according to the transient state temperature that above-mentioned 900A, 1000A meet an urgent need under load, carries out current-carrying capability dynamic evaluation, it can Know that 900A meets an urgent need under load effect, cable conductor temperature reaches stability limitation and needs tp=54min (simulation analysis results 57min), 1000A meets an urgent need under load effect, reaches stability limitation and 117min (simulation analysis result 130.5min) is needed specifically to show Intention is shown in Fig. 5.The error of forecast assessment in a certain range, has higher accuracy.
The present invention is not limited to the above embodiment.All technical solutions formed using equivalent replacement, are all fallen within the present invention and wanted The protection domain asked.

Claims (7)

  1. The current-carrying capability dynamic assessment method under load 1. a kind of high voltage single-core cable is met an urgent need, it is characterised in that execute step such as Under:
    1) the thermal conduction study Transient Thermal Circuit model of high voltage single-core cable is built;
    2) determine that the step current temperature of the Transient Thermal Circuit model rises expression formula and the step by the Transient Thermal Circuit model Each variate-value in current temperature rise expression formula, the step current temperature rise expression formula and are Wherein variable ai(i=1~4) are the transient state temperature increasing degree value of the high voltage single-core cable conductor, τi(i=1~4) are the high pressure The thermal time constant of single-core cable conductor, θ1(Im) indicate step current ImSteady-state component, θ1(Ip) indicate in emergent load electricity Flow IpThe steady temperature of the high voltage single-core cable conductor under continuous action, θ1(I0) indicate the high voltage single-core cable conductor In initial current I0Conductor initial temperature under effect, θ1(t) the high voltage single-core cable conductor after expression elapsed-time standards t Temperature;
    3) θ in step 2) is enabled1(t)=90 it DEG C, obtains high voltage single-core cable conductor and reaches the time that stability limitation temperature is undergone T, qualitative assessment of the current-carrying capability as power according to time t size to the high voltage single-core cable under emergent load condition As a result.
  2. The current-carrying capability dynamic assessment method under load 2. high voltage single-core cable as described in claim 1 is met an urgent need, feature exist In:The Transient Thermal Circuit model is simplified using reduction processing, is equivalent to the only described high voltage single-core cable conductor losses The hot road simplified model of second order under effect.
  3. The current-carrying capability dynamic assessment method under load 3. high voltage single-core cable as claimed in claim 2 is met an urgent need, feature exist In:Coefficient matrices A in the hot road simplified model of second order and coefficient matrix B, R1=Ri;R2=qRe;C1=Ccu+pi·Ci;C2=(1-pi)Ci+Cs/q+pe·Ce/ q, wherein RiFor institute State insulation specific thermal resistance, the R of high voltage single-core cableeFor the oversheath specific thermal resistance of the high voltage single-core cable;CcuFor the height Press conductor unit thermal capacitance, the C of single-core cableiFor the insulation unit thermal capacitance of the high voltage single-core cable, CsFor high pressure single electricity The metal sheath unit thermal capacitance of cable, CeFor the oversheath unit thermal capacitance of the high voltage single-core cable;piIt is distributed for insulating layer thermal capacitance and is Number, peFor oversheath thermal capacitance distribution coefficient;Ratio q=(Q are lostc+Qs)/Qc, wherein QcFor the conductor of the high voltage single-core cable Specific loss, QsFor the metal sheath specific loss of the high voltage single-core cable.
  4. The current-carrying capability dynamic assessment method under load 4. high voltage single-core cable as claimed in claim 3 is met an urgent need, feature exist In:pi、peCalculation formula be:
    In formula, dcFor the conductor diameter of the high voltage single-core cable;DiFor the outer insulation diameter of the high pressure single conductor;DsFor institute State the metal sheath outer diameter of high voltage single-core cable;DeFor the outside diameter of cable of the high voltage single-core cable, unit mm.
  5. The current-carrying capability dynamic assessment method under load 5. high voltage single-core cable as claimed in claim 3 is met an urgent need, feature exist In:The inside dimension relating to parameters of the coefficient matrices A and the high voltage single-core cable, the coefficient matrix B and the high pressure The material property of single-core cable is related.
  6. The current-carrying capability dynamic assessment method under load 6. high voltage single-core cable as described in claim 1 is met an urgent need, feature exist In:In step 3) when the emergent load current is more than the rated current of the high voltage single-core cable, then enable in step 2) θ1DEG C (t)=90.
  7. The current-carrying capability dynamic assessment method under load 7. high voltage single-core cable as described in claim 1 is met an urgent need, it is characterised in that: High voltage single-core cable is separated into cable core conductor, insulating layer, metal sheath, cable jacket in step 1);The thermal conduction study is temporary State thermal circuit model contains lossy, thermal resistance and thermal capacitance;The loss includes conductor unit loss Qc, insulation specific loss Qi, metal shield Layer specific loss Qs;The thermal resistance includes insulation specific thermal resistance Ri, oversheath specific thermal resistance Re;The thermal capacitance includes conductor unit Thermal capacitance Ccu, insulation unit thermal capacitance Ci, metal sheath unit thermal capacitance CsAnd oversheath unit thermal capacitance Ce
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