CN107843783A - The detection method and system of the emergent load current-carrying capacity of power cable - Google Patents
The detection method and system of the emergent load current-carrying capacity of power cable Download PDFInfo
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- 238000001514 detection method Methods 0.000 title claims abstract description 15
- 239000004020 conductor Substances 0.000 claims abstract description 52
- 238000000034 method Methods 0.000 claims abstract description 40
- 238000004364 calculation method Methods 0.000 claims abstract description 37
- 239000002689 soil Substances 0.000 claims abstract description 21
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- 238000009413 insulation Methods 0.000 claims description 6
- 238000003860 storage Methods 0.000 claims description 6
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- 238000003475 lamination Methods 0.000 claims description 3
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Abstract
The present invention relates to the detection method and system of a kind of emergent load current-carrying capacity of power cable, methods described includes：The temperature that AC resistance, environment temperature, conductor temperature and insulating barrier when detecting the circuit malfunctions of power cable are respectively layered；Determine the cable jacket outer surface of power cable to the thermal resistance and thermal capacitance between soil moisture point of safes according to the data of the power cable history run；Using thermodynamic (al) law of conservation of energy, and the temperature and thermal resistance and thermal capacitance being respectively layered according to the AC resistance, environment temperature, conductor temperature, insulating barrier, the emergent load carrying current calculation model of the emergent duration of load application of acquisition；According to emergent load carrying current calculation model, the power cable is calculated after the Load Emergency time, and Temperature of Power Cables is no more than the power cable maximum carrying capacity of design temperature.The present invention can quick detection go out maximum carrying capacity under emergent load, can both save many experiments resource, more easily can be applied to again in Practical Project.
Description
Technical Field
The invention relates to the technical field of power cables, in particular to a method and a system for detecting the current-carrying capacity of an emergency load of a power cable.
Background
When an accident occurs to a power transmission line, the load on the original cable is often required to be switched to other cables to maintain normal power utilization of users, but the excessive load causes larger current and increases the load of the cable, and the insulation of the cable is thermally broken down after a certain temperature is exceeded, so that the overload operation for a long time is not feasible; because the power grid dispatching personnel can generally dispatch and distribute the load of the original cable to other parts of the power grid within two hours before an accident occurs, it becomes more important to predict the temperature rise condition of the temporary overload cable within two hours in a transient state.
At present, a scheme for detecting the temperature rise of the inner conductor of the cable after two hours caused by the transient current-carrying capacity is mainly observed through specific experimental data, lacks of universality and is relatively complex in practical application. Not only can a large amount of experimental resources be consumed, but also the method is difficult to be conveniently applied to actual engineering.
Disclosure of Invention
Based on this, it is necessary to provide a method and a system for detecting the current-carrying capacity of the emergency load of the power cable, aiming at the problem that the existing detection scheme consumes a large amount of experimental resources and is difficult to be conveniently applied to practical engineering.
A method for detecting the current carrying capacity of an emergency load of a power cable comprises the following steps:
detecting alternating current resistance, environment temperature, conductor temperature and temperature of each layer of an insulating layer when a circuit of the power cable breaks down;
determining the thermal resistance and the thermal capacity between the outer surface of the cable outer sheath of the power cable and a soil temperature stabilization point according to the historical operation data of the power cable;
acquiring an emergency load current-carrying capacity calculation model of emergency load time by utilizing a thermodynamic energy conservation law and according to the alternating current resistance, the environment temperature, the conductor temperature, the temperature of each layer of the insulating layer, the thermal resistance and the thermal capacity;
and calculating the maximum current-carrying capacity of the power cable, at which the temperature of the power cable does not exceed the set temperature, after the power cable passes through the emergency load time according to the emergency load current-carrying capacity calculation model.
The method for detecting the current-carrying capacity of the emergency load of the power cable can quickly detect the maximum current-carrying capacity under the emergency load, can avoid damage to the power cable caused by the load exceeding the maximum current-carrying capacity, can avoid unnecessary emergency repair power failure, improves the equipment utilization rate of a power cable circuit, can save a large amount of experimental resources, and can be conveniently applied to practical engineering.
In one embodiment, the temperature of each layer of the insulation layer comprises an insulation layer temperature, a buffer zone temperature, an aluminum jacket temperature, and an outer jacket temperature;
wherein:
obtaining the obstruction of a conductor of a power cable to alternating current when the conductor passes through the alternating current to obtain the alternating current resistance;
continuously monitoring temperature and current signals of production and equipment through monitoring instruments arranged on the production line and the equipment to obtain the environmental temperature of the power cable;
calculating conductor temperature T of power cable according to cable transient thermal circuit model1Temperature T of insulating layern-3Temperature T of buffer zonen-2Temperature T of aluminum sheathn-1And the temperature T of the outer sheathn。
In one embodiment, the emergency load ampacity calculation model includes:
wherein I is the maximum current-carrying capacity of the power cable, t1The conductor temperature of the power cable does not exceed a prescribed temperature hij(1 is not less than i, j is not more than n) is the ith row and the jth column element in the adjoint matrix H; lij(i is more than or equal to 1, j is less than or equal to n) is the ith row and the jth column element in the coefficient matrix L; lambda [ alpha ]i(i is more than or equal to 1 and less than or equal to n) is the ith diagonal element in the diagonal matrix Lambda; y isi0(1 ≦ i ≦ n) as initial condition column vector Y0The ith diagonal element of (1); r is the alternating current resistance of the lead wire unit length of the power cable; t is t0Is the outer boundary temperature of the external environment of the power cable; rnRespectively the thermal resistance of the soil between the outer surface of the outer sheath of the cable and the stable point of the soil temperature.
In one embodiment, the step of obtaining the emergency load ampacity calculation model of the emergency load time by using the thermodynamic energy conservation law and according to the alternating current resistance, the environment temperature, the conductor temperature, the temperature of each layer of the insulating layer, the thermal resistance and the thermal capacity comprises the following steps:
constructing a thermal circuit model of the temperature of the power cable by utilizing a thermodynamic energy conservation law;
converting the hot-circuit model into a matrix form;
decoupling and solving the thermal circuit model by using a diagonalization method to obtain a corresponding relation between the maximum current-carrying capacity and the emergency load time of the power cable;
and separating variables from the maximum current-carrying capacity of the corresponding relational expression to obtain a cable maximum current-carrying capacity calculation expression which is used as an emergency load current-carrying capacity calculation model and ensures that the conductor temperature of the power cable does not exceed the specified temperature after the specified emergency load time.
In one embodiment, the hot-circuit model includes:
in the formula, t1Is the conductor temperature, t, of the power cable2To tn-3Temperature of the layers for the insulation layer lamination, tn-2To buffer zone temperature, tn-1Is the temperature of the aluminum sheath, tnIs the temperature of the outer sheath, R1To Rn-4And C1To Cn-4Thermal resistance and thermal capacity, R, of respective layers of the insulating layern-3、Cn-3Respectively the thermal resistance and thermal capacity of the buffer zone, Rn-2、Cn-2Respectively the thermal resistance and the thermal capacity of the air gap layer and the aluminum sheathn-1、Cn-1Respectively the thermal resistance and the thermal capacity of the outer sheath, Rn、CnThe thermal resistance and the thermal capacity of the soil between the outer surface of the cable outer sheath and the soil temperature stabilization point are respectively.
In one embodiment, the matrix form of the hot-circuit model is represented as:
wherein,
t＝[t1t2t3… tn]T
P＝[P1P2P3… Pn+t0/Rn]T
in the formula,the temperature value parameter of the high-voltage cable is represented, A represents a matrix coefficient, t represents the conductor temperature of the high-voltage cable, B represents a matrix coefficient, and P represents the heat loss amount of the high-voltage cable.
In one embodiment, the final bulk temperature of the power cable is expressed by a maximum ampacity versus emergency load time relationship as:
in the formula, t1I is the maximum current carrying capacity of the power cable.
A power cable emergency load flow detection system, comprising:
the detection module is used for detecting the alternating current resistance, the environment temperature, the conductor temperature and the temperature of each layered insulating layer when the circuit of the power cable breaks down;
the determining module is used for determining the thermal resistance and the thermal capacity from the outer surface of the cable outer sheath of the power cable to a soil temperature stabilizing point according to the historical operation data of the power cable;
the acquisition module is used for acquiring an emergency load current-carrying capacity calculation model of the emergency load time according to the alternating current resistance, the environment temperature, the conductor temperature, the temperature of each layer of the insulating layer, the thermal resistance and the thermal capacity by utilizing the thermodynamic energy conservation law;
and the calculation module is used for calculating the maximum current-carrying capacity of the power cable, which is not more than the set temperature after the power cable passes through the emergency load time, according to the emergency load current-carrying capacity calculation model.
Above-mentioned detection system of emergent load flow of power cable can the short-term test go out the biggest current-carrying capacity under the emergent load, and the load that both can avoid surpassing the biggest current-carrying capacity causes the damage to power cable, can avoid unnecessary to salvage the power failure again, has improved power cable line's rate of equipment utilization, both can practice thrift a large amount of experimental resources, again can be comparatively convenient use in the actual engineering.
A computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor, when executing the computer program, implements the method for detecting emergency ampacity of a power cable as described above.
A computer storage medium having a computer program stored thereon, wherein the program, when executed by a processor, implements a method of detecting emergency ampacity of a power cable as described above.
Drawings
FIG. 1 is a flow chart of a method for detecting the ampacity of an emergency load of a power cable according to the invention;
fig. 2 is a schematic structural diagram of a detection system for the ampacity of the power cable in emergency load.
Detailed Description
The following describes embodiments of the method and system for detecting the ampacity of the power cable in emergency load according to the present invention with reference to the accompanying drawings.
Referring to fig. 1, fig. 1 is a flow chart of a method for detecting an emergency load ampacity of a power cable according to the present invention, and the method includes the following steps:
(1) the method includes detecting an AC resistance, an ambient temperature, a conductor temperature, and a temperature of each of the insulating layers when a circuit of the power cable fails.
As an example, the AC resistance R and the ambient temperature t at the time of a circuit failure can be detected0Temperature T of conductor1Temperature T of insulating layern-3Temperature T of buffer zonen-2Temperature T of aluminum sheathn-1And the temperature T of the outer sheathn。
Furthermore, the alternating current resistance can be obtained by obtaining the obstruction to the alternating current when the conductor of the power cable passes through the alternating current; the temperature and current signals of production and equipment can be continuously monitored through monitoring instruments arranged on the production line and the equipment, and the environmental temperature of the power cable is obtained; or calculating the conductor temperature T of the power cable according to the cable transient thermal circuit model1Temperature T of insulating layern-3Temperature T of buffer zonen-2Temperature T of aluminum sheathn-1And the temperature T of the outer sheathn。
For example, the AC resistance can be calculated according to the AC resistance formula, that is, the AC resistance is the resistance of the conductor pair when the conductor passes through the ACThe alternating current causes a resistance, which is an alternating current resistance. The environmental temperature can be obtained through on-line monitoring, namely, signals such as temperature, current and the like of production and equipment are continuously and automatically monitored and uploaded through various monitoring instruments arranged on the production line and the equipment. Can be according to TnCalculating to obtain the conductor temperature T according to the cable transient thermal circuit model1Temperature T of insulating layern-3Temperature T of buffer zonen-2Temperature T of aluminum sheathn-1And an outer sheath temperature; the cable transient thermal circuit model comprises thermal resistance and thermal capacity parameters of materials, a thermal circuit can correspond to a circuit, and the thermal resistance and the thermal capacity can correspond to a resistor, a capacitor and the like in the circuit.
(2) And determining the thermal resistance and the thermal capacity from the outer surface of the cable outer sheath of the power cable to the soil temperature stabilization point according to the historical operation data of the power cable.
Specifically, the thermal resistance R between the outer surface of the cable outer sheath and the soil temperature stabilization point can be calculated by an iterative method according to data of long-term operationnAnd heat capacity Cn。
(3) And acquiring an emergency load current-carrying capacity calculation model of the emergency load time by utilizing the thermodynamic energy conservation law and according to the alternating current resistance, the environment temperature, the conductor temperature, the temperature of each layer of the insulating layer, the thermal resistance and the thermal capacity.
In the step, a calculation model of the emergency load flow is obtained within the given emergency load time by adopting the centralized parameters and combining the data of the steps (1) and (2) according to the thermodynamic energy conservation law.
As an example, the step (3) may include the following processes:
(3-1) constructing a thermal circuit model of the temperature of the power cable by using a thermodynamic energy conservation law;
specifically, the hot-circuit model may be represented as follows:
in the formula, t1Is the conductor temperature, t, of the power cable2To tn-3Temperature of the layers for the insulation layer lamination, tn-2To buffer zone temperature, tn-1Is the temperature of the aluminum sheath, tnIs the temperature of the outer sheath, R1To Rn-4And C1To Cn-4Thermal resistance and thermal capacity, R, of respective layers of the insulating layern-3、Cn-3Respectively the thermal resistance and thermal capacity of the buffer zone, Rn-2、Cn-2Respectively the thermal resistance and the thermal capacity of the air gap layer and the aluminum sheathn-1、Cn-1Respectively the thermal resistance and the thermal capacity of the outer sheath, Rn、CnThe thermal resistance and the thermal capacity of the soil between the outer surface of the cable outer sheath and the soil temperature stabilization point are respectively.
(3-2) converting the hot-circuit model into a matrix form;
to facilitate solving the above equation set, the equation set is converted into a matrix form, and the matrix form of the thermal circuit model can be expressed as:
wherein,
t＝[t1t2t3… tn]T
P＝[P1P2P3… Pn+t0/Rn]T
in the formula,the temperature value parameter of the high-voltage cable is represented, A represents a matrix coefficient, t represents the conductor temperature of the high-voltage cable, B represents a matrix coefficient, P represents the loss of the high-voltage cable, and diag represents a diagonal matrix.
By adopting a model for finely dividing the cable thermal circuit, the accuracy of transient temperature rise calculation can be improved.
And (3-3) decoupling and solving the thermal circuit model by using a diagonalization method to obtain a corresponding relation between the maximum current-carrying capacity and the emergency load time of the power cable.
Specifically, the characteristics of the matrix A show that the matrix A can be diagonalized, and the hot-circuit model is subjected to decoupling solution as follows:
order to
A＝HΛH-1
Wherein
Order to
t＝HY
Original formIs transformed into
Equality two-sided left multiplication by H-1
To obtain
Wherein
And for convenience of expression, make
A formulaCan be expressed in the form of a system of equations:
initial conditions:
solving the equation to obtain
When simplifying the processing, can order P2To PnIs zero
Get it solved
And also
P＝I2R
The corresponding relation between the maximum current-carrying capacity I of the conductor of the power cable and the emergency load time tau can be obtained:
in the formula, t1I is the maximum current-carrying capacity of the power cable, and t can be made to be the maximum current-carrying capacity of the power cable according to the operation requirement1|τ＝7200s90 ℃ and the like.
According to the scheme of the embodiment, the maximum current-carrying capacity I of the thermal circuit model emergency load can be obtained according to the maximum achievable temperature t of the cable conductor in a certain temperature initial environment and given emergency load time tau1The analytical solution of (2). A diagonalization method and a decoupling idea are adopted in the calculation process of the maximum ampacity of the emergency load, so that an integration algorithm can be avoided when a computer realizes the calculation process, the accuracy of numerical calculation is improved, and the calculation time is shortened.
And (3-4) carrying out variable separation on the maximum current-carrying capacity of the corresponding relation expression to obtain a maximum current-carrying capacity calculation expression that the conductor temperature of the power cable does not exceed the specified temperature after the specified emergency load time, and using the maximum current-carrying capacity calculation expression as an emergency load current-carrying capacity calculation model.
Specifically, the separation variable is carried out on the maximum carrying capacity I of the formula,that is, the conductor temperature of the power cable does not exceed the specified temperature t after the specified emergency load time tau1The maximum ampacity of the cable, namely the calculation model of the ampacity of the emergency load, is expressed as:
wherein I is the maximum current-carrying capacity of the power cable, t1The conductor temperature of the power cable does not exceed a prescribed temperature hij(1 is not less than i, j is not more than n) is the ith row and the jth column element in the adjoint matrix H; lij(i is more than or equal to 1, j is less than or equal to n) is the ith row and the jth column element in the coefficient matrix L; lambda [ alpha ]i(i is more than or equal to 1 and less than or equal to n) is the ith diagonal element in the diagonal matrix Lambda; y isi0(1 ≦ i ≦ n) as initial condition column vector Y0The ith diagonal element of (1); r is the alternating current resistance of the lead wire unit length of the power cable; t is t0Is the outer boundary temperature of the external environment of the power cable; rnRespectively the thermal resistance of the soil between the outer surface of the outer sheath of the cable and the stable point of the soil temperature.
(4) And calculating the maximum current-carrying capacity of the power cable, at which the temperature of the power cable does not exceed the set temperature, after the power cable passes through the emergency load time according to the emergency load current-carrying capacity calculation model.
Specifically, by using the emergency load current-carrying capacity calculation model provided in the above embodiment, the maximum current-carrying capacity of the conductor of the power cable calculated in a given emergency load time may be substituted, so as to provide a current-carrying capacity basis for an emergency task in an emergency.
The maximum current-carrying capacity of the power grid dispatching personnel under the emergency load can be prevented from damaging the cable by the load exceeding the maximum current-carrying capacity, unnecessary emergency repair power failure can be avoided, and the equipment utilization rate of a cable line is improved. Not only can save a large amount of experimental resources, but also can be applied to practical engineering more conveniently.
Referring to fig. 2, fig. 2 is a schematic structural diagram of a system for detecting emergency load ampacity of a power cable according to the present invention, and the system includes:
the detection module is used for detecting the alternating current resistance, the environment temperature, the conductor temperature and the temperature of each layered insulating layer when the circuit of the power cable breaks down;
the determining module is used for determining the thermal resistance and the thermal capacity from the outer surface of the cable outer sheath of the power cable to a soil temperature stabilizing point according to the historical operation data of the power cable;
the acquisition module is used for acquiring an emergency load current-carrying capacity calculation model of the emergency load time according to the alternating current resistance, the environment temperature, the conductor temperature, the temperature of each layer of the insulating layer, the thermal resistance and the thermal capacity by utilizing the thermodynamic energy conservation law;
and the calculation module is used for calculating the maximum current-carrying capacity of the power cable, which is not more than the set temperature after the power cable passes through the emergency load time, according to the emergency load current-carrying capacity calculation model.
As an example, the detection module may detect the ac resistance R and the ambient temperature t when the circuit fails0Temperature T of conductor1Temperature T of insulating layern-3Temperature T of buffer zonen-2Temperature T of aluminum sheathn-1And the temperature T of the outer sheathn。
Further, the detection module can obtain the alternating current resistance by obtaining the obstruction of the conductor of the power cable to the alternating current when the conductor passes through the alternating current; the temperature and current signals of production and equipment can be continuously monitored through monitoring instruments arranged on the production line and the equipment, and the environmental temperature of the power cable is obtained; or calculating the conductor temperature T of the power cable according to the cable transient thermal circuit model1Temperature T of insulating layern-3Temperature T of buffer zonen-2Temperature T of aluminum sheathn-1And the temperature T of the outer sheathn。
For example, the detection module may calculate the ac resistance according to an ac resistance formula, i.e., an ac resistanceWhen alternating current passes through the conductor, the conductor blocks the alternating current, and the resistance is the alternating current resistance. The environmental temperature can be obtained through on-line monitoring, namely, signals such as temperature, current and the like of production and equipment are continuously and automatically monitored and uploaded through various monitoring instruments arranged on the production line and the equipment. Can be according to TnCalculating to obtain the conductor temperature T according to the cable transient thermal circuit model1Temperature T of insulating layern-3Temperature T of buffer zonen-2Temperature T of aluminum sheathn-1And an outer sheath temperature; the cable transient thermal circuit model comprises thermal resistance and thermal capacity parameters of materials, a thermal circuit can correspond to a circuit, and the thermal resistance and the thermal capacity can correspond to a resistor, a capacitor and the like in the circuit.
In one embodiment, the determining module can calculate the thermal resistance R between the outer surface of the cable outer sheath and the soil temperature stabilizing point by an iterative method according to data of long-term operationnAnd heat capacity Cn。
In one embodiment, the acquisition module may obtain a calculation model of the emergency load flow rate at a given emergency load time by using the centralized parameters and combining the data of the detection module and the determination module according to the thermodynamic energy conservation law.
The system for detecting the current-carrying capacity of the emergency load of the power cable and the method for detecting the current-carrying capacity of the emergency load of the power cable correspond to each other one by one, and technical features and beneficial effects thereof described in the embodiment of the method for detecting the current-carrying capacity of the emergency load of the power cable are applicable to the embodiment of the system for detecting the current-carrying capacity of the emergency load of the power cable.
Based on the examples described above, in one embodiment, there is also provided a computer device, which includes a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the method for detecting the emergency ampacity of the power cable according to any one of the embodiments described above.
It will be understood by those skilled in the art that all or part of the processes in the methods of the above embodiments may be implemented by a computer program, which is stored in a non-volatile computer readable storage medium, and in the embodiments of the present invention, the program may be stored in the storage medium of a computer system and executed by at least one processor in the computer system to implement the processes including the embodiments of the sleep assistance methods described above. The storage medium may be a magnetic disk, an optical disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), or the like.
Accordingly, in an embodiment, a storage medium is further provided, on which a computer program is stored, wherein the program is executed by a processor to implement the method for detecting the emergency ampacity of the power cable according to any one of the embodiments described above.
The technical features of the embodiments described above may be arbitrarily combined, and for the sake of brevity, all possible combinations of the technical features in the embodiments described above are not described, but should be considered as being within the scope of the present specification as long as there is no contradiction between the combinations of the technical features.
The above-mentioned embodiments only express several embodiments of the present invention, and the description thereof is more specific and detailed, but not construed as limiting the scope of the invention. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the inventive concept, which falls within the scope of the present invention. Therefore, the protection scope of the present patent shall be subject to the appended claims.
Claims (10)
1. A method for detecting the emergency load carrying capacity of a power cable is characterized by comprising the following steps:
detecting alternating current resistance, environment temperature, conductor temperature and temperature of each layer of an insulating layer when a circuit of the power cable breaks down;
determining the thermal resistance and the thermal capacity between the outer surface of the cable outer sheath of the power cable and a soil temperature stabilization point according to the historical operation data of the power cable;
acquiring an emergency load current-carrying capacity calculation model of emergency load time by utilizing a thermodynamic energy conservation law and according to the alternating current resistance, the environment temperature, the conductor temperature, the temperature of each layer of the insulating layer, the thermal resistance and the thermal capacity;
and calculating the maximum current-carrying capacity of the power cable, at which the temperature of the power cable does not exceed the set temperature, after the power cable passes through the emergency load time according to the emergency load current-carrying capacity calculation model.
2. The method for detecting the ampacity of the power cable in the emergency load according to claim 1, wherein the temperature of each layer of the insulating layer comprises an insulating layer temperature, a buffer tape temperature, an aluminum sheath temperature and an outer sheath temperature;
wherein:
obtaining the obstruction of a conductor of a power cable to alternating current when the conductor passes through the alternating current to obtain the alternating current resistance;
continuously monitoring temperature and current signals of production and equipment through monitoring instruments arranged on the production line and the equipment to obtain the environmental temperature of the power cable;
calculating conductor temperature T of power cable according to cable transient thermal circuit model1Temperature T of insulating layern-3Temperature T of buffer zonen-2Temperature T of aluminum sheathn-1And the temperature T of the outer sheathn。
3. The method for detecting the emergency load ampacity of the power cable according to claim 2, wherein the emergency load ampacity calculation model comprises:
<mrow> <mi>I</mi> <mo>=</mo> <msqrt> <mfrac> <mrow> <msub> <mi>t</mi> <mn>1</mn> </msub> <mo>-</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>h</mi> <mrow> <mn>1</mn> <mi>i</mi> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mfrac> <mrow> <msub> <mi>l</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> <msub> <mi>t</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mrow> <msup> <mi>e</mi> <mrow> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> <mi>&tau;</mi> </mrow> </msup> <mo>-</mo> <mn>1</mn> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> <msub> <mi>R</mi> <mi>n</mi> </msub> </mrow> </mfrac> <mo>+</mo> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mn>0</mn> </mrow> </msub> <msup> <mi>e</mi> <mrow> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> <mi>&tau;</mi> </mrow> </msup> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <mi>R</mi> <mo>&CenterDot;</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <mfrac> <mrow> <msub> <mi>h</mi> <mrow> <mn>1</mn> <mi>i</mi> </mrow> </msub> <msub> <mi>l</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <msup> <mi>e</mi> <mrow> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> <mi>&tau;</mi> </mrow> </msup> <mo>-</mo> <mn>1</mn> </mrow> <mo>)</mo> </mrow> </mrow> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> </mfrac> </mrow> </mfrac> </msqrt> </mrow>
wherein I is the maximum current-carrying capacity of the power cable, t1The conductor temperature of the power cable does not exceed a prescribed temperature hij(1 is not less than i, j is not more than n) is the ith row and the jth column element in the adjoint matrix H; lij(i is more than or equal to 1, j is less than or equal to n) is the ith row and the jth column element in the coefficient matrix L; lambda [ alpha ]i(i is more than or equal to 1 and less than or equal to n) is the ith diagonal element in the diagonal matrix Lambda; y isi0(1 ≦ i ≦ n) as initial condition column vector Y0The ith diagonal element of (1); r is the alternating current resistance of the lead wire unit length of the power cable; t is t0Is the outer boundary temperature of the external environment of the power cable; rnRespectively the thermal resistance of the soil between the outer surface of the outer sheath of the cable and the stable point of the soil temperature.
4. The method for detecting emergency current-carrying capacity of power cable according to claim 3, wherein the step of obtaining the emergency current-carrying capacity calculation model of the emergency load time according to the alternating current resistance, the ambient temperature, the conductor temperature, the temperature of each layer of the insulating layer, the thermal resistance and the thermal capacity by using the thermodynamic law of conservation of energy comprises:
constructing a thermal circuit model of the temperature of the power cable by utilizing a thermodynamic energy conservation law;
converting the hot-circuit model into a matrix form;
decoupling and solving the thermal circuit model by using a diagonalization method to obtain a corresponding relation between the maximum current-carrying capacity and the emergency load time of the power cable;
and separating variables from the maximum current-carrying capacity of the corresponding relational expression to obtain a cable maximum current-carrying capacity calculation expression which is used as an emergency load current-carrying capacity calculation model and ensures that the conductor temperature of the power cable does not exceed the specified temperature after the specified emergency load time.
5. The method for detecting the ampacity of the power cable under emergency load according to claim 4, wherein the thermal circuit model comprises:
<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>C</mi> <mn>1</mn> </msub> <mfrac> <mrow> <msub> <mi>dt</mi> <mn>1</mn> </msub> </mrow> <mrow> <mi>d</mi> <mi>&tau;</mi> </mrow> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mn>1</mn> </msub> </mfrac> <msub> <mi>t</mi> <mn>1</mn> </msub> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mn>1</mn> </msub> </mfrac> <msub> <mi>t</mi> <mn>2</mn> </msub> <mo>=</mo> <msub> <mi>P</mi> <mn>1</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mn>1</mn> </msub> </mfrac> <msub> <mi>t</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>C</mi> <mn>2</mn> </msub> <mfrac> <mrow> <msub> <mi>dt</mi> <mn>2</mn> </msub> </mrow> <mrow> <mi>d</mi> <mi>&tau;</mi> </mrow> </mfrac> <mo>+</mo> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mn>1</mn> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mn>2</mn> </msub> </mfrac> <mo>)</mo> </mrow> <msub> <mi>t</mi> <mn>2</mn> </msub> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mn>2</mn> </msub> </mfrac> <msub> <mi>t</mi> <mn>3</mn> </msub> <mo>=</mo> <msub> <mi>P</mi> <mn>2</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mo>...</mo> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mi>n</mi> <mo>-</mo> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> </mfrac> <msub> <mi>t</mi> <mrow> <mi>n</mi> <mo>-</mo> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>C</mi> <mrow> <mi>n</mi> <mo>-</mo> <mi>i</mi> </mrow> </msub> <mfrac> <mrow> <msub> <mi>dt</mi> <mrow> <mi>n</mi> <mo>-</mo> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <mi>d</mi> <mi>&tau;</mi> </mrow> </mfrac> <mo>+</mo> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mi>n</mi> <mo>-</mo> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mi>n</mi> <mo>-</mo> <mi>i</mi> </mrow> </msub> </mfrac> <mo>)</mo> </mrow> <msub> <mi>t</mi> <mrow> <mi>n</mi> <mo>-</mo> <mi>i</mi> </mrow> </msub> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mi>n</mi> <mo>-</mo> <mi>i</mi> </mrow> </msub> </mfrac> <msub> <mi>t</mi> <mrow> <mi>n</mi> <mo>-</mo> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>P</mi> <mrow> <mi>n</mi> <mo>-</mo> <mi>i</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mo>...</mo> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> </mfrac> <msub> <mi>t</mi> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>C</mi> <mi>n</mi> </msub> <mfrac> <mrow> <msub> <mi>dt</mi> <mi>n</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>&tau;</mi> </mrow> </mfrac> <mo>+</mo> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mi>n</mi> </msub> </mfrac> <mo>)</mo> </mrow> <msub> <mi>t</mi> <mi>n</mi> </msub> <mo>=</mo> <msub> <mi>P</mi> <mi>n</mi> </msub> <mo>+</mo> <mfrac> <mn>1</mn> <msub> <mi>R</mi> <mi>n</mi> </msub> </mfrac> <msub> <mi>t</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced>
in the formula, t1Is the conductor temperature, t, of the power cable2To tn-3Temperature of the layers for the insulation layer lamination, tn-2To buffer zone temperature, tn-1Is the temperature of the aluminum sheath, tnIs the temperature of the outer sheath, R1To Rn-4And C1To Cn-4Thermal resistance and thermal capacity, R, of respective layers of the insulating layern-3、Cn-3Respectively the thermal resistance and thermal capacity of the buffer zone, Rn-2、Cn-2Respectively the thermal resistance and the thermal capacity of the air gap layer and the aluminum sheathn-1、Cn-1Respectively the thermal resistance and the thermal capacity of the outer sheath, Rn、CnThe thermal resistance and the thermal capacity of the soil between the outer surface of the cable outer sheath and the soil temperature stabilization point are respectively.
6. The method for detecting the ampacity of the power cable under emergency load according to claim 5, wherein the matrix form of the thermal circuit model is represented as:
<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> </mrow>
wherein,
<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>1</mn> </msub> </mrow> <mrow> <mi>d</mi> <mi>&tau;</mi> </mrow> </mfrac> </mtd> <mtd> <mfrac> <mrow> <msub> <mi>dt</mi> <mn>2</mn> </msub> </mrow> <mrow> <mi>d</mi> <mi>&tau;</mi> </mrow> </mfrac> </mtd> <mtd> <mfrac> <mrow> <msub> <mi>dt</mi> <mn>3</mn> </msub> </mrow> <mrow> <mi>d</mi> <mi>&tau;</mi> </mrow> </mfrac> </mtd> <mtd> <mo>...</mo> </mtd> <mtd> <mfrac> <mrow> <msub> <mi>dt</mi> <mi>n</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>&tau;</mi> </mrow> </mfrac> </mtd> </mtr> </mtable> </mfenced> <mi>T</mi> </msup> </mrow>
t＝[t1t2t3… tn]T
<mrow> <mi>B</mi> <mo>=</mo> <mi>d</mi> <mi>i</mi> <mi>a</mi> <mi>g</mi> <mrow> <mo>(</mo> <msubsup> <mi>C</mi> <mn>1</mn> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>C</mi> <mn>2</mn> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>,</mo> <msubsup> <mi>C</mi> <mn>3</mn> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>,</mo> <mo>...</mo> <mo>,</mo> <msubsup> <mi>C</mi> <mi>n</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>)</mo> </mrow> </mrow>
P＝[P1P2P3… Pn+t0/Rn]T
in the formula,the temperature value parameter of the high-voltage cable is represented, A represents a matrix coefficient, t represents the conductor temperature of the high-voltage cable, B represents a matrix coefficient, and P represents the loss of the high-voltage cable.
7. The method for detecting the emergency load ampacity of the power cable according to claim 6, wherein the maximum ampacity obtained by the final temperature of the body of the power cable is expressed by the corresponding relation of the emergency load time:
<mrow> <msub> <mi>t</mi> <mn>1</mn> </msub> <mo>=</mo> <msup> <mi>I</mi> <mn>2</mn> </msup> <mi>R</mi> <mo>&CenterDot;</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <mfrac> <mrow> <msub> <mi>h</mi> <mrow> <mn>1</mn> <mi>i</mi> </mrow> </msub> <msub> <mi>l</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mrow> <mo>(</mo> <msup> <mi>e</mi> <mrow> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> <mi>&tau;</mi> </mrow> </msup> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> </mfrac> <mo>+</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>h</mi> <mrow> <mn>1</mn> <mi>i</mi> </mrow> </msub> <mrow> <mo>(</mo> <mfrac> <mrow> <msub> <mi>l</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> <msub> <mi>t</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <msup> <mi>e</mi> <mrow> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> <mi>&tau;</mi> </mrow> </msup> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> <msub> <mi>R</mi> <mi>n</mi> </msub> </mrow> </mfrac> <mo>+</mo> <msub> <mi>y</mi> <mrow> <mi>i</mi> <mn>0</mn> </mrow> </msub> <msup> <mi>e</mi> <mrow> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> <mi>&tau;</mi> </mrow> </msup> <mo>)</mo> </mrow> </mrow>
in the formula, t1I is the maximum current carrying capacity of the power cable.
8. A detection system for power cable emergency load flow is characterized by comprising:
the detection module is used for detecting the alternating current resistance, the environment temperature, the conductor temperature and the temperature of each layered insulating layer when the circuit of the power cable breaks down;
the determining module is used for determining the thermal resistance and the thermal capacity from the outer surface of the cable outer sheath of the power cable to a soil temperature stabilizing point according to the historical operation data of the power cable;
the acquisition module is used for acquiring an emergency load current-carrying capacity calculation model of the emergency load time according to the alternating current resistance, the environment temperature, the conductor temperature, the temperature of each layer of the insulating layer, the thermal resistance and the thermal capacity by utilizing the thermodynamic energy conservation law;
and the calculation module is used for calculating the maximum current-carrying capacity of the power cable, which is not more than the set temperature after the power cable passes through the emergency load time, according to the emergency load current-carrying capacity calculation model.
9. A computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor when executing the computer program implements the method for detecting the emergency ampacity of a power cable according to any one of claims 1 to 7.
10. A computer storage medium having a computer program stored thereon, wherein the program when executed by a processor implements a method for detecting emergency ampacity of a power cable according to any one of claims 1 to 7.
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Application publication date: 20180327 |