CN103632235A - Improved forward-backward sweep algorithm based power-grid low-voltage platform area line loss information processing method - Google Patents

Improved forward-backward sweep algorithm based power-grid low-voltage platform area line loss information processing method Download PDF

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CN103632235A
CN103632235A CN201310654488.5A CN201310654488A CN103632235A CN 103632235 A CN103632235 A CN 103632235A CN 201310654488 A CN201310654488 A CN 201310654488A CN 103632235 A CN103632235 A CN 103632235A
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node
voltage
platform area
electrical network
line loss
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刘俊
杨帆
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State Grid Shanghai Electric Power Co Ltd
East China Power Test and Research Institute Co Ltd
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State Grid Shanghai Electric Power Co Ltd
East China Power Test and Research Institute Co Ltd
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Abstract

The invention relates to an improved forward-backward sweep algorithm based power-grid low-voltage platform area line loss information processing method. The method includes the following steps: 1) acquiring basic data and operating data of a low-voltage platform area of a power grid; 2) computing load shape factors and circuit structure constants of the low-voltage platform area of the power grid and equivalent current of each node according to the basic data and the operating data; 3) adopting an improved forward-backward sweep algorithm to perform iterative computation to obtain voltage of each node and current of each branch; 4) computing line loss information of the low-voltage platform area of the power grid according to the voltage of each node and the current of each branch. Compared with the prior art, the method has the advantages of less needed data, simplicity in implementation, high information accuracy and the like.

Description

Electrical network low-voltage platform area line loss information processing method based on improving Forward and backward substitution method
Technical field
The present invention relates to a kind of information processing method, especially relate to a kind of electrical network low-voltage platform area line loss information processing method based on improving Forward and backward substitution method.
Background technology
Line loss is the abbreviation of electrical network electric energy loss, is that electric energy is transferred to power consumer process from generating plant, the electric energy loss and the loss that in transmission of electricity, power transformation, distribution and marketing links, produce.By the structure of line loss, line loss electric weight can be divided into statistical line losses electric weight, theory wire loss electric weight, management line loss electric weight etc.
Power supply area or a power network are within the given period (day, the moon, season, year), and in transmission of electricity, power transformation, each link of distribution, whole electric weight of institute's loss are called line loss electric weight, abbreviation line loss electric weight or line loss.A part in line loss electric weight, determines although can fall to calculate by reason, or measures with the mark of special measurement line loss, its full dose cannot accurately be learnt.Therefore in the actual motion of power network, line loss electric weight normally obtains according to the delivery of ammeter measuring statistics and the difference of electricity sales amount, is commonly called statistical line losses electric weight.
In statistical line losses electric weight, some be electric energy defeated, become, join process in inevitably, its numerical value has operational factor and device parameter in the corresponding period to determine.Wherein mainly comprise: the Transformer Winding being directly proportional to current squaring and the electric energy loss in transmission line wire; The insulation dielectric loss of the transformer core relevant with working voltage, capacitor and cable and kwh loss (open circuit loss) etc.This part loss of electricity is called " technological attrition electric weight " traditionally, and it can calculate by theory, so be called again theory wire loss electric weight.
Another part of statistical line losses is that it comprises because the reason in management work causes: various watt-hour meter composition errors, while checking meter difference, leak and copy and wrong to miscopy the statistic that calculation causes inaccurate; The electric leakage that charging equipment defective insulation causes, the loss electric weight causing without table electricity consumption and stealing etc.This part electric weight custom is called management line loss electric weight.
As can be seen here, merely rely on statistical line losses, cannot hold exactly power network line loss actual conditions.In order to understand more accurately grid line loss, do line loss management work well, draft and reasonably fall damage measure, carry out theory wire loss calculating accurately and seem particularly important.
In recent decades, along with scientific and technological development, the improving constantly of computer technology, theory wire loss computing method have a great development, and have occurred multiple computing method.According to collecting Data classification, be broadly divided into following two classes: integral point data method and mathematical methods.
Integral point data method adopts Typical Representative day integral point data conventionally, asks for the load shape coefficient of low-voltage distribution transformer low-pressure side head end, and then carries out the calculating of low-voltage distribution network line loss.These class methods mostly are simplifies method of approximation and tidal current computing method.Wherein substitutional resistance method and before push back for method, use the most extensive.
Mathematical methods needs a large amount of historical datas as sample.By adopt specific mathematical method to sample training, analyze, set up suitable mathematical model, thereby form the relational expression between circuit line loss value and characteristic ginseng value.These class methods mostly are regression analysis and intelligent algorithm (neural network is in the majority).Because the method data acquisition amount is large, the order of accuarcy of data has very large relation to the accuracy of mathematical model, and versatility is not good.For different low-voltage distribution networks, due to the difference of line construction and operation conditions, mathematical model can change always, and the fussy degree of calculation and programming constantly rises, and the accuracy of calculating declines, present circumstances, and its development space in low-voltage platform area is little.
Summary of the invention
Object of the present invention is exactly to provide a kind of electrical network low-voltage platform area line loss information processing method based on improving Forward and backward substitution method in order to overcome the defect of above-mentioned prior art existence.
Object of the present invention can be achieved through the following technical solutions:
An electrical network low-voltage platform area line loss information processing method based on improving Forward and backward substitution method, comprises the following steps:
1) obtain basic data and the service data of electrical network low-voltage platform area;
2) according to basic data and service data, calculate the load shape coefficient of electrical network low-voltage platform area and the equivalent current of line construction constant and each node;
3) adopt improvement Forward and backward substitution method to carry out iterative computation, draw each node voltage and each branch current;
4) according to each node voltage and each branch current, calculate the line loss information of electrical network low-voltage platform area.
The basic data of electrical network low-voltage platform area comprises topological relation and the wire parameter of electrical network, and the service data of electrical network low-voltage platform area comprises working time, power factor (PF) and supply and distribution.
Step 3) concrete steps that adopt improvement Forward and backward substitution method to carry out iterative computation are:
31) each node voltage of initialization, makes the voltage of each node
Figure BDA0000430947110000021
the nodes that wherein m is power distribution network, U 0for initial voltage;
32), from circuit tip one stage load, according to node power, calculate each branch current that flows into frontier node
33) according to each branch current and distribution low-voltage side head end voltage, by iteration, obtain each node voltage and node voltage maximal value modified value
Figure BDA0000430947110000032
34) decision node voltage max modified value
Figure BDA0000430947110000033
whether restrain, if branch current is exported in convergence
Figure BDA0000430947110000034
with each node voltage
Figure BDA0000430947110000035
if do not restrain, scope step 32) recalculate.
Step 32) in, the computing formula of each branch current is:
Figure BDA0000430947110000036
In formula:
Figure BDA0000430947110000037
for the branch current between node i and j;
Figure BDA0000430947110000038
load current for node j;
Figure BDA0000430947110000039
for the branch current with node headed by node j, when frontier node that node j is network, p l,j-jQ l, jfor node j load power conjugation;
Figure BDA00004309471100000311
voltage conjugation for node j.
Step 33) node voltage in
Figure BDA00004309471100000312
computing formula be:
Δ U g i - ( U g j - U g i U * i ) Δ U * i = U g j + Δ U g j - U g i - Z ji I g ji
The iterative formula of subsequent node voltage is:
Δ U g i ( t + 1 ) - ( U g j ( t ) - U g i ( t ) U * i ( t ) ) Δ U * i ( t + 1 ) = U g j ( t + 1 ) - U g i ( t ) - Z ji I g ji ( t ) U g i ( t + 1 ) = U g i ( t ) + Δ U g i ( t + 1 )
Node voltage maximal value modified value
Figure BDA00004309471100000315
computing formula be:
Figure BDA00004309471100000316
In formula, voltage for father node j;
Figure BDA00004309471100000318
voltage for child node i;
Figure BDA00004309471100000319
impedance for node i and j branch road; T is iterations.
Step 34) in, the criterion of convergence is: wherein ε is the threshold value of setting; If exist
Figure BDA00004309471100000321
be judged to be convergence.
Compared with prior art, the present invention has the following advantages:
One, calculating desired data is less, and is easy to obtain;
Two, computational accuracy is high;
Three, algorithm versatility is high;
Four, algorithm improves the advantages such as potentiality are large.
Accompanying drawing explanation
Fig. 1 is process flow diagram of the present invention.
Embodiment
Below in conjunction with the drawings and specific embodiments, the present invention is described in detail.
Embodiment
As shown in Figure 1, a kind of electrical network low-voltage platform area line loss information processing method based on improving Forward and backward substitution method, comprises the following steps:
Step 1, the basic data of obtaining electrical network low-voltage platform area and service data, wherein, the basic data of electrical network low-voltage platform area comprises topological relation and the wire parameter of electrical network, the service data of electrical network low-voltage platform area comprises working time, power factor (PF) and supply and distribution.
Step 2, according to basic data and service data, calculate the load shape coefficient of electrical network low-voltage platform area and the equivalent current of line construction constant and each node.
Step 3, employing improve Forward and backward substitution method and carry out iterative computation, draw each node voltage and each branch current, and concrete steps are:
3-1, each node voltage of initialization, make the voltage of each node
Figure BDA0000430947110000041
the nodes that wherein m is power distribution network, U 0for initial voltage;
3-2, from circuit tip one stage load, according to node power, calculate to flow into each branch current of frontier node
Figure BDA0000430947110000042
specific formula for calculation is:
Figure BDA0000430947110000043
In formula:
Figure BDA0000430947110000044
for the branch current between node i and j;
Figure BDA0000430947110000045
load current for node j;
Figure BDA0000430947110000046
for the branch current with node headed by node j, when frontier node that node j is network,
Figure BDA0000430947110000047
p l, j-jQ l,jfor node j load power conjugation;
Figure BDA0000430947110000048
voltage conjugation for node j;
3-3, according to each branch current and distribution low-voltage side head end voltage, by iteration, obtain each node voltage and node voltage maximal value modified value wherein, middle node voltage
Figure BDA00004309471100000410
computing formula be:
Δ U g i - ( U g j - U g i U * i ) Δ U * i = U g j + Δ U g j - U g i - Z ji I g ji
The iterative formula of subsequent node voltage is:
Δ U g i ( t + 1 ) - ( U g j ( t ) - U g i ( t ) U * i ( t ) ) Δ U * i ( t + 1 ) = U g j ( t + 1 ) - U g i ( t ) - Z ji I g ji ( t ) U g i ( t + 1 ) = U g i ( t ) + Δ U g i ( t + 1 )
Node voltage maximal value modified value
Figure BDA0000430947110000053
computing formula be:
In formula,
Figure BDA0000430947110000055
voltage for father node j; voltage for child node i;
Figure BDA0000430947110000057
impedance for node i and j branch road; T is iterations.
3-4, decision node voltage max modified value whether restrain, if branch current is exported in convergence
Figure BDA0000430947110000059
with each node voltage
Figure BDA00004309471100000510
if do not restrain, scope step 32) recalculate.Wherein, the criterion of convergence is:
Figure BDA00004309471100000512
wherein ε is the threshold value of setting; If exist
Figure BDA00004309471100000511
be judged to be convergence.

Claims (6)

1. the electrical network low-voltage platform area line loss information processing method based on improving Forward and backward substitution method, is characterized in that, comprises the following steps:
1) obtain basic data and the service data of electrical network low-voltage platform area;
2) according to basic data and service data, calculate the load shape coefficient of electrical network low-voltage platform area and the equivalent current of line construction constant and each node;
3) adopt improvement Forward and backward substitution method to carry out iterative computation, draw each node voltage and each branch current;
4) according to each node voltage and each branch current, calculate the line loss information of electrical network low-voltage platform area.
2. a kind of electrical network low-voltage platform area line loss information processing method based on improving Forward and backward substitution method according to claim 1, it is characterized in that, the basic data of electrical network low-voltage platform area comprises topological relation and the wire parameter of electrical network, and the service data of electrical network low-voltage platform area comprises working time, power factor (PF) and supply and distribution.
3. a kind of electrical network low-voltage platform area line loss information processing method based on improving Forward and backward substitution method according to claim 1, is characterized in that step 3) adopt and improve the concrete steps that Forward and backward substitution method carries out iterative computation and be:
31) each node voltage of initialization, makes the voltage of each node
Figure FDA0000430947100000011
the nodes that wherein m is power distribution network, U 0for initial voltage;
32), from circuit tip one stage load, according to node power, calculate each branch current that flows into frontier node
Figure FDA0000430947100000012
33) according to each branch current and distribution low-voltage side head end voltage, by iteration, obtain each node voltage and node voltage maximal value modified value
Figure FDA0000430947100000013
34) decision node voltage max modified value
Figure FDA0000430947100000014
whether restrain, if branch current is exported in convergence
Figure FDA0000430947100000015
with each node voltage
Figure FDA0000430947100000016
if do not restrain, scope step 32) recalculate.
4. a kind of electrical network low-voltage platform area line loss information processing method based on improving Forward and backward substitution method according to claim 3, is characterized in that step 32) in the computing formula of each branch current be:
Figure FDA0000430947100000017
In formula:
Figure FDA0000430947100000018
for the branch current between node i and j;
Figure FDA0000430947100000019
load current for node j; for the branch current with node headed by node j, when frontier node that node j is network,
Figure FDA00004309471000000111
p l, j-jQ l, jfor node j load power conjugation;
Figure FDA0000430947100000021
voltage conjugation for node j.
5. a kind of electrical network low-voltage platform area line loss information processing method based on improving Forward and backward substitution method according to claim 3, is characterized in that step 33) middle node voltage
Figure FDA0000430947100000022
computing formula be:
Δ U g i - ( U g j - U g i U * i ) Δ U * i = U g j + Δ U g j - U g i - Z ji I g ji
The iterative formula of subsequent node voltage is:
Δ U g i ( t + 1 ) - ( U g j ( t ) - U g i ( t ) U * i ( t ) ) Δ U * i ( t + 1 ) = U g j ( t + 1 ) - U g i ( t ) - Z ji I g ji ( t ) U g i ( t + 1 ) = U g i ( t ) + Δ U g i ( t + 1 )
Node voltage maximal value modified value
Figure FDA0000430947100000025
computing formula be:
Figure FDA0000430947100000026
In formula,
Figure FDA0000430947100000027
voltage for father node j;
Figure FDA0000430947100000028
voltage for child node i;
Figure FDA0000430947100000029
impedance for node i and j branch road; T is iterations.
6. a kind of electrical network low-voltage platform area line loss information processing method based on improving Forward and backward substitution method according to claim 3, is characterized in that step 34) in the criterion of convergence be:
Figure FDA00004309471000000210
wherein ε is the threshold value of setting; If exist
Figure FDA00004309471000000211
be judged to be convergence.
CN201310654488.5A 2013-12-05 2013-12-05 Improved forward-backward sweep algorithm based power-grid low-voltage platform area line loss information processing method Pending CN103632235A (en)

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CN104008455A (en) * 2014-05-30 2014-08-27 重庆大学 Forward-back substitution method for reliability assessment of complex radial power distribution networks
CN104009469A (en) * 2014-05-21 2014-08-27 华南理工大学 Low-voltage distribution network platform area network topology isogram collection method
CN104008462A (en) * 2014-06-16 2014-08-27 深圳供电局有限公司 Reliability management information system and method covering high-voltage, medium-voltage and low-voltage customers
CN105279353A (en) * 2014-06-17 2016-01-27 国网山西省电力公司电力科学研究院 Low voltage transformer area line loss calculating method based on cluster characteristic and network vector
CN105321008A (en) * 2014-06-17 2016-02-10 国网山西省电力公司电力科学研究院 Distributed low voltage transformer district line loss calculation and analysis system
CN107046286A (en) * 2017-05-12 2017-08-15 国网上海市电力公司 Low-voltage power distribution station area theoretical line loss caluclation method based on forward-backward sweep method
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CN110212521A (en) * 2019-06-05 2019-09-06 国网河南省电力公司电力科学研究院 Line Loss Calculation method and system
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CN104009469A (en) * 2014-05-21 2014-08-27 华南理工大学 Low-voltage distribution network platform area network topology isogram collection method
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CN104008455B (en) * 2014-05-30 2017-04-12 重庆大学 Forward-back substitution method for reliability assessment of complex radial power distribution networks
CN104008455A (en) * 2014-05-30 2014-08-27 重庆大学 Forward-back substitution method for reliability assessment of complex radial power distribution networks
CN104008462A (en) * 2014-06-16 2014-08-27 深圳供电局有限公司 Reliability management information system and method covering high-voltage, medium-voltage and low-voltage customers
CN105321008B (en) * 2014-06-17 2020-09-04 国网山西省电力公司电力科学研究院 Distributed low-voltage transformer area line loss calculation and analysis system
CN105279353A (en) * 2014-06-17 2016-01-27 国网山西省电力公司电力科学研究院 Low voltage transformer area line loss calculating method based on cluster characteristic and network vector
CN105321008A (en) * 2014-06-17 2016-02-10 国网山西省电力公司电力科学研究院 Distributed low voltage transformer district line loss calculation and analysis system
CN107046286A (en) * 2017-05-12 2017-08-15 国网上海市电力公司 Low-voltage power distribution station area theoretical line loss caluclation method based on forward-backward sweep method
CN110045196A (en) * 2018-01-15 2019-07-23 国网江苏省电力公司常州供电公司 High voltage supply line management line loss checks method
CN110045196B (en) * 2018-01-15 2020-12-22 国网江苏省电力公司常州供电公司 High-voltage power supply line management line loss checking method
CN108427823A (en) * 2018-01-26 2018-08-21 国网江苏省电力有限公司扬州供电分公司 A kind of low-voltage platform area Auto based on pattern layout and Topology service
CN108427823B (en) * 2018-01-26 2021-09-03 国网江苏省电力有限公司扬州供电分公司 Low-voltage transformer area automatic generation method based on graphic layout and topological service
CN110212521A (en) * 2019-06-05 2019-09-06 国网河南省电力公司电力科学研究院 Line Loss Calculation method and system
CN110212521B (en) * 2019-06-05 2022-04-22 国网河南省电力公司电力科学研究院 Power distribution network line loss calculation method and system
CN111835003A (en) * 2020-07-07 2020-10-27 国网河南省电力公司电力科学研究院 Method and system for calculating theoretical line loss of medium-voltage distribution network in real time under multi-power-supply power supply

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