CN105956931A - Power distribution line dynamic capacity increasing auxiliary decision making method and system - Google Patents

Power distribution line dynamic capacity increasing auxiliary decision making method and system Download PDF

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Publication number
CN105956931A
CN105956931A CN201610282117.2A CN201610282117A CN105956931A CN 105956931 A CN105956931 A CN 105956931A CN 201610282117 A CN201610282117 A CN 201610282117A CN 105956931 A CN105956931 A CN 105956931A
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distribution line
wire
dynamic compatibilization
making method
temperature
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张伟奎
梅成磊
曹洪强
王珊珊
文正其
向冬冬
鄢小虎
李穆
施磊
任云霄
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URUMQI POWER SUPPLY Co OF STATE GRID XINJIANG ELECTRIC POWER Co
Wuhan NARI Ltd
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URUMQI POWER SUPPLY Co OF STATE GRID XINJIANG ELECTRIC POWER Co
Wuhan NARI Ltd
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Priority to CN201610282117.2A priority Critical patent/CN105956931A/en
Publication of CN105956931A publication Critical patent/CN105956931A/en
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    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q50/00Information and communication technology [ICT] specially adapted for implementation of business processes of specific business sectors, e.g. utilities or tourism
    • G06Q50/06Energy or water supply

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  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Remote Monitoring And Control Of Power-Distribution Networks (AREA)

Abstract

The invention discloses a power distribution line dynamic capacity increasing auxiliary decision making method and system. The method comprises the following steps of: S1, obtaining real-time monitoring data including operation parameters and microclimate parameters of a power distribution line, and through a communication network, transmitting the monitored data in a standard format back to an auxiliary decision making platform for the use of analysis and decision making; S2, establishing a power distribution wire thermal circuit transient model according to the monitored data, calculating a maximum allowable current when the temperature of a wire reaches 70 DEG C at a measurement moment, and further deriving out the size of the increasable capacity of the line; S3, according to the obtained maximum allowable current, carrying out dynamic capacity increasing, judging whether the voltage on the tail end of the line decreases to the value lower than a standard requirement, and if yes, reducing the voltage drop; and S4, carrying out effect evaluation according to a financial net present value analysis method in engineering economics. According to the invention, the potential conveying capacity of the power distribution line is fully excavated, and the unnecessary investment wastes such as wire exchange are reduced.

Description

A kind of distribution line dynamic compatibilization aid decision-making method and system
Technical field
The present invention relates to power distribution network O&M renovation technique field, particularly relate to a kind of distribution line dynamic compatibilization auxiliary Help decision method and system.
Background technology
In recent years, along with the quickening of power end pace of construction and the growth of load side electricity consumption and multiformity, distribution The problem that planning construction is delayed and ability to transmit electricity is not enough becomes increasingly conspicuous, have that wiring is unreasonable, radius of electricity supply length, The problems such as power supply quality is poor, line loss is high, power distribution network peak-valley difference is bigger.According to existing current carrying capacity of conductor It is all the economic current-carrying capacity under the harsh conditions of+70 DEG C, but because of the running environment difference of wire and thermal effect Answering difference very big, especially to year-round average temperature lower ground district, the actual max load amount of wire has the biggest Room for promotion.
For existing distribution network line increase-volume problem, need a kind of method, it is possible to ensureing that circuit runs safety Property ensure on the premise of, according to run climatic environment practical situation, use the online temperature of line conductor, environment The Monitoring Data of temperature, wind speed, sunshine and current-carrying capacity etc., fills part and excavates circuit compatibilization ability, and combine increasing The corresponding controller switching equipment (such as adjustable transformer, reactive power compensator etc.) added, to ensure terminal voltage quality Etc. scheme.The method finally using financial net present value carries out economic evaluation to scheme, fully excavates to arrive While the transmission capacity that distribution line is potential, and reduce the unnecessary investment waste such as restringing.
Summary of the invention
The technical problem to be solved in the present invention is and transmission of electricity delayed for distribution planning construction in prior art The defect of scarce capacity, it is provided that a kind of according to running climatic environment practical situation, fills part and excavates circuit increase-volume energy The distribution line dynamic compatibilization aid decision-making method of power and system.
The technical solution adopted for the present invention to solve the technical problems is:
The present invention provides a kind of distribution line dynamic compatibilization aid decision-making method, comprises the following steps:
S1, the Real-time Monitoring Data of acquisition distribution line, including operational factor and microclimate parameter, and pass through The data monitored are sent back Decision Platform by communication network in a standardized format, make for analysis decision With;
S2, set up distribution wire hot road transient Model according to Monitoring Data, and calculate moment conductor temperature to be measured Maximum allowed current when reaching 70 degree, and then derivation circuit can increase the size of capacity;
S3, carry out dynamic compatibilization according to the maximum allowed current that obtains, and under judging that line end voltage is whether It is brought down below the requirement of standard, if less than standard, reducing voltage drop;
S4, carry out recruitment evaluation according to the method for financial net present value analysis in engineering economy.
Further, in step S1 of the present invention, operational factor includes conductor temperature, current in wire;Micro-gas As parameter includes ambient temperature, humidity, wind direction, wind speed, air pressure and intensity of sunshine.
Further, in step S1 of the present invention, communication network uses GPRS/3G/4G.
Further, in step S2 of the present invention, the computing formula of maximum allowed current is:
I m a x = 70 - θ e R x R c ( θ c )
Wherein, θcFor aerial condutor temperature, Rcc) it is that aerial condutor is at θcAt a temperature of self thermal resistance, θeLead Line place ambient temperature, RxFor the environment thermal resistance between wire to monitoring point.
Further, the formula calculating ambient heat resistance in step S2 of the present invention is:
R x = θ c - θ e W C - C x dθ c d t
Wherein, θcFor aerial condutor temperature, θeWire place ambient temperature, CxFor steel-cored aluminium strand steel Core thermal capacitance Cx1Thermal capacitance C with steel core aluminum stranded conductor aluminiumx2Sum, WC=I2Rcc) it is wire self-heating amount.
Further, the method reducing voltage drop in step S3 of the present invention includes: by there being the load can modulation Depressor improves source voltage terminal, takes series compensation to reduce line reactance, compensates reduction circuit in parallel idle Transmission.
Further, step S4 of the present invention carries out the method for recruitment evaluation particularly as follows:
Calculate the electricity charge income after increasing capacity and reforming equipment expense, labour cost, line loss expense and dimension Protect the difference of expense, be denoted as financial net present value, compare the financial net present value before and after dynamic compatibilization, select clean existing It is worth bigger scheme as economically viable scheme.
The present invention provides a kind of distribution line dynamic compatibilization aid decision-making system, including:
Monitoring Data access unit, for obtaining the Real-time Monitoring Data of distribution line, including operational factor and Microclimate parameter, and by communication network, the data monitored are sent back aid decision in a standardized format Platform, for analysis decision;
The thermally-stabilised online check unit of circuit, for setting up distribution wire hot road transient state mould according to Monitoring Data Type, and calculate maximum allowed current when moment conductor temperature to be measured reaches 70 degree, and then derivation circuit can Increase the size of capacity;
Low-voltage is analyzed and governance unit, for carrying out dynamic compatibilization according to the maximum allowed current obtained, and Judge whether line end voltage is decreased below the requirement of standard, if less than standard, reducing voltage drop;
Recruitment evaluation unit, comments for carrying out effect according to the method for financial net present value analysis in engineering economy Estimate.
The beneficial effect comprise that: the distribution line dynamic compatibilization aid decision-making method of the present invention, On the premise of ensureing that circuit safety in operation ensures, according to running climatic environment practical situation, circuit is used to lead The Monitoring Data of the online temperature of line, ambient temperature, wind speed, sunshine and current-carrying capacity etc., fills part and excavates circuit increasing Appearance ability, and propose by increasing corresponding controller switching equipment (such as adjustable transformer, reactive power compensator etc.), To ensure the schemes such as terminal voltage quality, finally use the method for financial net present value that scheme is carried out economy and comment Estimating, while arriving and fully excavating the transmission capacity that distribution line is potential, and it is unnecessary to reduce restringing etc. Investment waste.
Accompanying drawing explanation
Below in conjunction with drawings and Examples, the invention will be further described, in accompanying drawing:
Fig. 1 is the flow chart of the distribution line dynamic compatibilization aid decision-making method of the embodiment of the present invention;
Fig. 2 is the system block diagram of the distribution line dynamic compatibilization aid decision-making method of the embodiment of the present invention;
Fig. 3 is the consideration conductor temperature of the distribution line dynamic compatibilization aid decision-making method of the embodiment of the present invention Wire Transient Thermal Circuit model with ambient temperature;
Fig. 4 is that having of the distribution line dynamic compatibilization aid decision-making method of the embodiment of the present invention carries adjustable transformation Device pressure regulation gear schematic diagram calculation;
Fig. 5 is that the capacitor series connection of the distribution line dynamic compatibilization aid decision-making method of the embodiment of the present invention is mended Repay schematic diagram;
Fig. 6 is that the capacitor parallel connection of the distribution line dynamic compatibilization aid decision-making method of the embodiment of the present invention is mended Repay schematic diagram;
Fig. 7 is the theory diagram of the distribution line dynamic compatibilization aid decision-making system of the embodiment of the present invention.
Detailed description of the invention
In order to make the purpose of the present invention, technical scheme and advantage clearer, below in conjunction with accompanying drawing and reality Execute example, the present invention is further elaborated.Only should be appreciated that specific embodiment described herein In order to explain the present invention, it is not intended to limit the present invention.
As it is shown in figure 1, the distribution line dynamic compatibilization aid decision-making method of the embodiment of the present invention, including following Step:
S1, the Real-time Monitoring Data of acquisition distribution line, including operational factor and microclimate parameter, and pass through The data monitored are sent back Decision Platform by communication network in a standardized format, make for analysis decision With;
S2, set up distribution wire hot road transient Model according to Monitoring Data, and calculate moment conductor temperature to be measured Maximum allowed current when reaching 70 degree, and then derivation circuit can increase the size of capacity;
S3, carry out dynamic compatibilization according to the maximum allowed current that obtains, and under judging that line end voltage is whether It is brought down below the requirement of standard, if less than standard, reducing voltage drop;
S4, carry out recruitment evaluation according to the method for financial net present value analysis in engineering economy.
As in figure 2 it is shown, in another specific embodiment of the present invention, according to distribution line operational factor, The multidimensional datas such as ambient parameter, it is achieved distribution line increase-volume decision scheme optimization, replace and take to change transmission of electricity The means that wire or newly-built distribution line etc. are single, extensive, promote asset utilization ratio.It concretely comprises the following steps:
(1) Monitoring Data accesses.Monitoring device is monitored in real time operational factor and the microclimate of distribution line Data, send back Decision Platform by GPRS/3G/4G communication network, make for module analysis decision-making below With.
Monitoring Data is broadly divided into two classes: a class is the operational factor of distribution line, including conductor temperature, leads Line current;Another kind of is microclimate parameter, including ambient temperature, humidity, wind direction, wind speed, air pressure and day According to intensity.
(2) the thermally-stabilised online check of circuit.As it is shown on figure 3, set up distribution wire according to heat transfer theory Hot road transient Model, first with monitoring current in wire, conductor temperature, ambient temperature and line in this model Road AC resistance, use formula calculated as below calculate the moment to be measured environment thermal resistance:
R x = θ c - θ e W C - C x dθ c d t
In formula, θcFor aerial condutor temperature;θeWire place ambient temperature;CxFor steel-cored aluminium strand steel Core thermal capacitance Cx1Thermal capacitance C with steel core aluminum stranded conductor aluminiumx2Sum;WC=I2Rcc) it is wire self-heating amount.I is Current carrying capacity of conductor;Cx=Cx1+Cx2, wherein Cx1=Cgρgsglg, Cg, ρg、sg、lgIt is respectively the ratio of steel core Thermal capacitance, density, actual cross-sectional area, length, thermal capacitance C of aluminumx2Identical with steel core computational methods, take it Corresponding parameter carries out calculating.
Recycling Monitoring Data conductor temperature, ambient temperature, environment thermal resistance, use specific calculation formula to calculate Moment conductor temperature to be measured reaches maximum allowed current when 70 degree, such that it is able to derivation circuit can increase appearance The size of amount, provides for dynamic compatibilization and supports.The formula calculating maximum allowed current is:
I m a x = 70 - θ e R x R c ( θ c )
In formula, θcFor aerial condutor temperature;Rcc) it is that aerial condutor is at θcAt a temperature of self thermal resistance;θeLead Line place ambient temperature.RxFor the environment thermal resistance between wire to monitoring point.
(3) low-voltage analysis and improvement.When line transmission power rise, cause under line end voltage Fall, may result in substandard requirement, according to voltage drop formula, can take load adjustable transformer time serious Improve source voltage terminal, take series compensation to reduce line reactance X, compensate in parallel and reduce the idle Q of circuit Transmission, thus reduce the purpose of voltage drop.
3.1, pressure regulator tap system of selection: as shown in Figure 4, voltage drop Δ VTFormula be:
ΔV T = ( PR T + QX T ) V 1
RT+jXTFor the impedance of reduction to high voltage side of transformer, V1 is high side voltage.
Obtain high-pressure side tap voltage V1t:
V 1 t = V 1 - ΔV T V 1 V 2 N
V2NFor low-pressure side rated voltage.
Thus select corresponding pressure regulator gear, but to manual voltage regulation, it is necessary to calculate peak load and Under little, tap to be selected, then averages.
3.2, series compensation capacitor capacitor value system of selection: as it is shown in figure 5, need the capacitor compensated Capacitor value XC, formula is:
X C = V 1 ( Δ V - ΔV c ) Q 1
ΔVcFor the line electricity pressure drop after series compensation capacitance
3.3, shunt compensation pressure regulation Capacity Selection method: as shown in Figure 6, needs the appearance of the capacitor compensated Amount QC, formula is:
Q C = V 2 c X ( V 2 c - V 2 ′ k ) k 2
Wherein, V '2For reduction on high-tension side electric substation low-voltage bus bar voltage, V2cFor compensated rear electric substation The virtual voltage that low-pressure side pressure ball keeps.But should be noted the cooperation between pressure regulator, principle is at satisfied tune In the case of pressure request, make reactive compensation capacity minimum.
(4) recruitment evaluation
Assessment increase-volume scheme uses the method that in engineering economy, financial net present value is analyzed, by technical scheme whole Cash flow conversion (consider inflation and interest) in the individual given period to technical scheme come into effect time present worth Sum.And carry out financial net present value with restringing and newly-built circuit and compare, financial net present value is the best relatively greatly, Select economically viable scheme.
Financial net present value (FNPV)=cash inflow present worth sum-cash outflow present worth sum
Cash inflow present worth sum mainly increases the electricity charge income after capacity
Cash outflow present worth sum is mainly reforming equipment expense, labour cost, line loss expense and maintenance expense With.
Certain 10kV circuit, power transmission capacity of pow 8000kVA before transformation, transformation correlative charges is as shown in the table, By current bank loan benchmark interest rate 3%, 0.2 yuan/kWH of electricity charge income (deduction line loss) calculates, it is considered to To the Wave crest and wave trough effect of electricity consumption, if with electrostrictive coefficient 0.4.
Scheme one: capacity-increasing transformation Scheme two: newly-built circuit
Installation cost (ten thousand yuan) 45 115
Labour cost (ten thousand yuan) 5.5 15
Maintenance cost (ten thousand yuan) 10 10
Transmission line capability promotes 20% 25%
Financial net present value in calculating 5 years is as follows:
Scheme one: FNPV=0.4*8000*20%*0.2* (1-1.035)/(1-1.03)*8760*5-(45+5.5+10) =237.15 ten thousand yuan
Scheme two: FNPV=0.4*8000*25%*0.25* (1-1.035)/(1-1.03)*8760*5-(115+15+10) =232.06 ten thousand yuan
It can be seen that use the capacity-increasing transformation of scheme one, while meeting user's request, preferable warp can be obtained Ji effect.
As it is shown in fig. 7, the distribution line dynamic compatibilization aid decision-making system of the embodiment of the present invention, including:
Monitoring Data access unit, for obtaining the Real-time Monitoring Data of distribution line, including operational factor and Microclimate parameter, and by communication network, the data monitored are sent back aid decision in a standardized format Platform, for analysis decision;
The thermally-stabilised online check unit of circuit, for setting up distribution wire hot road transient state mould according to Monitoring Data Type, and calculate maximum allowed current when moment conductor temperature to be measured reaches 70 degree, and then derivation circuit can Increase the size of capacity;
Low-voltage is analyzed and governance unit, for carrying out dynamic compatibilization according to the maximum allowed current obtained, and Judge whether line end voltage is decreased below the requirement of standard, if less than standard, reducing voltage drop;
Recruitment evaluation unit, comments for carrying out effect according to the method for financial net present value analysis in engineering economy Estimate.
It should be appreciated that for those of ordinary skills, can be improved according to the above description Or conversion, and all these modifications and variations all should belong to the protection domain of claims of the present invention.

Claims (8)

1. a distribution line dynamic compatibilization aid decision-making method, it is characterised in that comprise the following steps:
S1, the Real-time Monitoring Data of acquisition distribution line, including operational factor and microclimate parameter, and lead to Cross communication network and the data monitored are sent back Decision Platform in a standardized format, for analyzing certainly Plan uses;
S2, set up distribution wire hot road transient Model according to Monitoring Data, and calculate moment wire temperature to be measured Degree reaches maximum allowed current when 70 degree, and then derivation circuit can increase the size of capacity;
The maximum allowed current that S3, basis obtain carries out dynamic compatibilization, and whether judges line end voltage It is decreased below the requirement of standard, if less than standard, reducing voltage drop;
S4, carry out recruitment evaluation according to the method for financial net present value analysis in engineering economy.
Distribution line dynamic compatibilization aid decision-making method the most according to claim 1, it is characterised in that In step S1, operational factor includes conductor temperature, current in wire;Microclimate parameter includes ambient temperature, wet Degree, wind direction, wind speed, air pressure and intensity of sunshine.
Distribution line dynamic compatibilization aid decision-making method the most according to claim 1, it is characterised in that In step S1, communication network uses GPRS/3G/4G.
Distribution line dynamic compatibilization aid decision-making method the most according to claim 1, it is characterised in that In step S2, the computing formula of maximum allowed current is:
I m a x = 70 - θ e R x R c ( θ c )
Wherein, θcFor aerial condutor temperature, Rcc) it is that aerial condutor is at θcAt a temperature of self thermal resistance, θeLead Line place ambient temperature, RxFor the environment thermal resistance between wire to monitoring point.
Distribution line dynamic compatibilization aid decision-making method the most according to claim 4, it is characterised in that The formula calculating ambient heat resistance in step S2 is:
R x = θ c - θ e W C - C x dθ c d t
Wherein, θcFor aerial condutor temperature, θeWire place ambient temperature, CxFor steel-cored aluminium strand Steel core thermal capacitance Cx1Thermal capacitance C with steel core aluminum stranded conductor aluminiumx2Sum, WC=I2Rcc) it is wire self-heating amount.
Distribution line dynamic compatibilization aid decision-making method the most according to claim 1, it is characterised in that The method reducing voltage drop in step S3 includes: by there being load adjustable transformer to improve source voltage terminal, take Series compensation reduces line reactance, compensates in parallel and reduces the idle transmission of circuit.
Distribution line dynamic compatibilization aid decision-making method the most according to claim 1, it is characterised in that Step S4 carries out the method for recruitment evaluation particularly as follows:
Calculate increase the electricity charge income after capacity and reforming equipment expense, labour cost, line loss expense and The difference of maintenance cost, is denoted as financial net present value, compares the financial net present value before and after dynamic compatibilization, selects The bigger scheme of net present value (NPV) is as economically viable scheme.
8. a distribution line dynamic compatibilization aid decision-making system, it is characterised in that including:
Monitoring Data access unit, for obtaining the Real-time Monitoring Data of distribution line, including operational factor With microclimate parameter, and the data monitored are sent back auxiliary in a standardized format by communication network Decision-making platform, for analysis decision;
The thermally-stabilised online check unit of circuit, for setting up distribution wire hot road transient state mould according to Monitoring Data Type, and calculate maximum allowed current when moment conductor temperature to be measured reaches 70 degree, and then derivation circuit can Increase the size of capacity;
Low-voltage is analyzed and governance unit, for carrying out dynamic compatibilization according to the maximum allowed current obtained, And judge whether line end voltage is decreased below the requirement of standard, if less than standard, reducing voltage drop;
Recruitment evaluation unit, for carrying out effect according to the method for financial net present value analysis in engineering economy Assessment.
CN201610282117.2A 2016-04-29 2016-04-29 Power distribution line dynamic capacity increasing auxiliary decision making method and system Pending CN105956931A (en)

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CN107246925A (en) * 2017-05-27 2017-10-13 上海海能信息科技有限公司 A kind of current transformer thermal circuit model analysis method
CN107292442A (en) * 2017-06-27 2017-10-24 国网江西省电力公司电力科学研究院 A kind of 10kV power distribution networks low-voltage plans improvement and appraisal procedure automatically
CN109494622A (en) * 2018-12-30 2019-03-19 国网北京市电力公司 Remodeling method, device, storage medium and the processor of overhead distribution
CN111668829A (en) * 2020-05-11 2020-09-15 国网福建省电力有限公司 Meteorological characteristic factor-based power distribution network low-voltage user number prediction method
CN112946399A (en) * 2021-03-04 2021-06-11 国网浙江省电力有限公司嘉兴供电公司 Line dynamic capacity increasing method based on big data technology
CN113111484A (en) * 2021-03-04 2021-07-13 国网浙江省电力有限公司嘉兴供电公司 Dynamic assessment method for capacity increase of power transmission and transformation line

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CN102590594A (en) * 2012-03-07 2012-07-18 广东电网公司佛山供电局 Transient state thermal circuit model-based method and device for determining permissible current of overhead conductor
CN104242452A (en) * 2014-09-22 2014-12-24 广州供电局有限公司 Dynamic capacity increasing monitoring system and method for power transmission line
CN104578058A (en) * 2015-01-21 2015-04-29 上海海能信息科技有限公司 Five-element load dynamic capacity increasing and on-line monitoring system for power transmission line
CN105470954A (en) * 2015-12-23 2016-04-06 深圳供电局有限公司 Dynamic capacity increasing system for power transmission line

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CN102590594A (en) * 2012-03-07 2012-07-18 广东电网公司佛山供电局 Transient state thermal circuit model-based method and device for determining permissible current of overhead conductor
CN104242452A (en) * 2014-09-22 2014-12-24 广州供电局有限公司 Dynamic capacity increasing monitoring system and method for power transmission line
CN104578058A (en) * 2015-01-21 2015-04-29 上海海能信息科技有限公司 Five-element load dynamic capacity increasing and on-line monitoring system for power transmission line
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Publication number Priority date Publication date Assignee Title
CN107246925A (en) * 2017-05-27 2017-10-13 上海海能信息科技有限公司 A kind of current transformer thermal circuit model analysis method
CN107292442A (en) * 2017-06-27 2017-10-24 国网江西省电力公司电力科学研究院 A kind of 10kV power distribution networks low-voltage plans improvement and appraisal procedure automatically
CN109494622A (en) * 2018-12-30 2019-03-19 国网北京市电力公司 Remodeling method, device, storage medium and the processor of overhead distribution
CN111668829A (en) * 2020-05-11 2020-09-15 国网福建省电力有限公司 Meteorological characteristic factor-based power distribution network low-voltage user number prediction method
CN111668829B (en) * 2020-05-11 2022-08-05 国网福建省电力有限公司 Meteorological characteristic factor-based power distribution network low-voltage user number prediction method
CN112946399A (en) * 2021-03-04 2021-06-11 国网浙江省电力有限公司嘉兴供电公司 Line dynamic capacity increasing method based on big data technology
CN113111484A (en) * 2021-03-04 2021-07-13 国网浙江省电力有限公司嘉兴供电公司 Dynamic assessment method for capacity increase of power transmission and transformation line
CN112946399B (en) * 2021-03-04 2022-04-29 国网浙江省电力有限公司嘉兴供电公司 Line dynamic capacity increasing method based on big data technology
CN113111484B (en) * 2021-03-04 2022-05-17 国网浙江省电力有限公司嘉兴供电公司 Dynamic assessment method for capacity increase of power transmission and transformation line

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Application publication date: 20160921