CN114036853A - Power distribution terminal optimal configuration method considering multi-type user differential power failure loss - Google Patents
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Abstract
The invention discloses a power distribution terminal optimal configuration method considering the differentiated power failure loss of multiple types of users, which relates to the technical field of power distribution networks and comprises the following steps: inputting relevant parameters of the power distribution network system; constructing a quantitative evaluation method and an evaluation system aiming at different types of user differential power failure loss; establishing a power distribution terminal equipment configuration model with the minimum sum of terminal comprehensive cost and power failure loss cost; solving the power distribution terminal equipment configuration model by using a bat algorithm to obtain the configuration positions and types of a two-remote power distribution terminal and a three-remote power distribution terminal with the lowest total cost; and outputting the configuration result of the power distribution terminal equipment. According to the optimal configuration method of the power distribution terminal, the benefit of multiple subjects such as resident users, government agency users and business users can be taken into account to configure the power distribution terminal, an optimal configuration scheme is solved, and theoretical support is provided for optimal configuration of the power distribution terminal of the power distribution network.
Description
Technical Field
The invention belongs to the technical field of power distribution networks, and particularly relates to a power distribution terminal optimal configuration method considering differential power failure loss of multiple types of users.
Background
The power distribution terminal is a general name of various remote monitoring and control units installed in a medium-voltage power distribution network, completes functions of data acquisition, control, communication and the like in power distribution automation, and mainly comprises a feeder terminal, a station terminal and the like. The 'two remote' power distribution terminal has functions of remote measurement and remote signaling, and the 'three remote' power distribution terminal has functions of remote measurement, remote signaling and remote control. In the power distribution network, the power distribution terminal equipment can realize the functions of fault location, fault isolation, quick power restoration in a non-fault area and the like, and has certain effects of increasing the reliability of the power distribution network and reducing the power failure loss cost.
When the terminal configuration is optimized, the traditional modeling is rough, and the influence of various factors on the comprehensive cost is not considered together.
Disclosure of Invention
Aiming at the defects of the prior art, the invention aims to provide a power distribution terminal optimal configuration method considering the differentiated power failure loss of multiple types of users so as to solve the problems in the background technology.
The purpose of the invention can be realized by the following technical scheme:
a power distribution terminal optimal configuration method considering multi-type user differential power failure loss comprises the following steps:
s1, inputting relevant parameters of the power distribution network system;
s2, constructing a quantitative evaluation method and an evaluation system aiming at different types of user differential power failure loss;
s3, establishing a power distribution terminal equipment configuration model with the minimum sum of terminal comprehensive cost and power failure loss cost;
s4, solving the position and the type of the power distribution terminal equipment by using a bat bionic algorithm;
and S5, outputting the configuration result of the power distribution terminal equipment.
As a further scheme of the present invention, in step S2, the user types include an industrial unit load power outage loss FI, a commercial unit load power outage loss FC, and a residential unit load power outage loss FR, and respectively establish iterative solution formulas.
As a further aspect of the present invention, in the step S3, the terminal comprehensive cost F includes a terminal investment cost FT and a terminal maintenance cost FW, and an iterative solution model of the terminal investment cost FT, the terminal maintenance cost FW and the terminal comprehensive cost F is respectively established.
As a further aspect of the present invention, in step S3, the power outage loss cost of the user is calculated using the following formula:
in the formula, N is the number of industrial users, Pi is the load of an industrial user i, M is the number of commercial users, Pj is the load of a commercial user j, L is the number of residential users, and Pk is the load of a residential user k.
As a further aspect of the present invention, in step S3, the power distribution terminal device includes a two-remote terminal device and a three-remote terminal device.
As a further aspect of the present invention, in S3, the number of power distribution terminals is limited so that it does not exceed m% of the total number of installable locations, and the number of three remote power distribution terminals is limited so that it does not exceed n% of the total number of installed power distribution terminals.
As a further aspect of the present invention, in step S4, the step S of solving the distribution terminal equipment configuration model by using the bat algorithm is as follows:
s4.1, initializing a population and parameters of a bat algorithm, using a binary string which is generated by recursion and is uniformly distributed as an initial terminal installation position random matrix B (B1, B2, B3 … bD) T, and then solving an initial bat position matrix X (X1, X2, X3 … xD) T, wherein the numerical value of each position corresponds to a terminal installation type, and the subscript of each position corresponds to a terminal installation position; then, calculating the fitness to obtain the fitness of each population, namely the sum of the comprehensive terminal cost and the power failure loss cost, so as to obtain an initial global optimal population, namely the installation position and the type of the power distribution terminal with the minimum sum of the comprehensive terminal cost and the power failure loss cost under the condition of initial terminal installation;
s4.2, each bat updates the speed according to the current speed and the distance between the current position and the optimal position, and then a group of new positions St (St1, St2, St3 … stD) T are obtained according to the speed update;
s4.3, if the random number of the bats is larger than the pulse frequency of the bats, the bats fly randomly to obtain a set of new positions St (St1, St2, St3 … stD) T:
s4.4, if the fitness of the new position is smaller than that of the previous generation and the random number of the bats is smaller than the echo loudness of the bats, taking St as the new position Xt (Xt1, Xt2, Xt3 … xtD) T of the bats, judging the number and the type of the terminals after updating, if the number of the terminals is larger than the number limit or the number of the three-remote is larger than the number limit, returning the bats to the position before updating, and updating the echo loudness and the pulse frequency of the bats;
if the fitness of the new position of the bat is smaller than that of the original global optimal position after updating, setting the new position as the global optimal position, namely the installation position and the type of the power distribution terminal with the minimum sum of the comprehensive cost of the terminal and the power failure loss cost;
s4.5, judging whether the termination condition is met, if the current iteration time t is greater than G, outputting a global optimal solution, and otherwise, turning to S4.2 to continue the iteration;
as a further aspect of the present invention, in said step S5, the global optimal bat position obtained in step S4 is used to obtain the configuration positions and types of the two-remote power distribution terminal and the three-remote power distribution terminal with the lowest total cost, each element in the global optimal bat position corresponds to a corresponding power distribution terminal installation position;
if the range of the element is [0,1], the position is not provided with an electric terminal, the output matrix element corresponding to the position is 0, if the range of the element is [1,2], the position is provided with a two-remote power distribution terminal, the output matrix element corresponding to the position is 2, if the range of the element is [2,3], the position is provided with a three-remote power distribution terminal, the output matrix element corresponding to the position is 3, and the configuration result of the power distribution terminal equipment is output.
The invention has the beneficial effects that: the invention provides a power distribution terminal optimal configuration method considering differential power failure loss of multiple types of users, aims to obtain the sum of the minimum terminal comprehensive cost and the power failure loss cost, considers the differential power failure loss of the multiple types of users, establishes a terminal configuration model, and performs configuration optimization on the installation position and the installation type of a terminal by using a bat algorithm, thereby having certain guiding significance for improving the reliability and the economical efficiency of power distribution terminal configuration of a power distribution network.
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In order to more clearly illustrate the embodiments or technical solutions in the prior art of the present invention, the drawings used in the description of the embodiments or prior art will be briefly described below, and it is obvious for those skilled in the art that other drawings can be obtained based on these drawings without creative efforts.
FIG. 1 is a flow chart of the present invention;
fig. 2 is a system configuration diagram of a node of a power distribution area 22 according to an embodiment.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
A power distribution terminal optimal configuration method considering multi-type user differential power failure loss comprises the following steps:
s1, inputting relevant parameters of the power distribution network system;
for the 22-node system shown in fig. 2, the load and the user type of each load point are input, the length, the fault rate and the fault repair time of each power supply main line are input, and the fault rate and the fault repair time of the transformer are input.
S2, constructing a quantitative evaluation method and an evaluation system aiming at different types of user differential power failure loss as follows:
wherein, the letters and the numerical values represent the unit load power failure loss. Industrial unit load power failure loss FI
Wherein Cpred is the production loss of unit load per hour, Cpay is the site wage loss of unit load per hour, t is the annual power failure time, Crestart is the average per-restart cost of unit load, and r is the average single power failure time.
The commercial unit load power failure loss FC calculation formula is as follows:
FC＝(Cmerch+Cpay)·t(r＜tmax)
wherein Cmrch is the sales loss per hour of unit load, Cpay is the site wage loss per hour of unit load, t is the annual blackout time, Cdamage is the deterioration cost of unit load commodities, and r is the single average blackout time.
The calculation formula of the power failure loss FR of the unit load of the residents is as follows:
FR＝Cdaily·t
wherein C isdailyThe daily loss of unit load per hour is shown, and t is the annual power failure time.
S3, establishing a power distribution terminal equipment configuration model with the minimum sum of terminal comprehensive cost and power failure loss cost;
the terminal comprehensive cost comprises terminal investment cost and terminal maintenance cost, and the investment cost calculation formula is as follows:
F＝FT+FW
in the formula, F is the comprehensive cost of the terminal, FT is the investment cost of the terminal, and FW is the maintenance cost of the terminal.
The calculation formula of the terminal investment cost is as follows:
in the formula, G1 and G2 are the number of the "two-remote" terminal and the "three-remote" terminal, respectively, P1 is the current-value unit price of the "two-remote" terminal investment, P2 is the current-value unit price of the "three-remote" terminal investment, s represents the operating life of the equipment, and i is the discount rate.
The calculation formula of the terminal maintenance cost is as follows:
FW＝(G1P1+G2P2)·λ
in the formula, G1 and G2 are the number of the two-remote terminal and the three-remote terminal respectively, P1 is the current-value unit price of the two-remote terminal investment, P2 is the current-value unit price of the three-remote terminal investment, and lambda is the proportion of the operation and maintenance cost in the equipment investment cost.
The calculation formula of the power failure loss cost of the user is as follows:
in the formula, N is the number of industrial users, Pi is the load of an industrial user i, and FI is the power failure loss cost of the industrial user with unit load; m is the number of the commercial users, Pj is the load of the commercial users j, and FC is the power failure loss cost of the commercial users of the unit load of the commercial users; l is the number of the residential users, Pk is the load of the residential users k, and FR is the power failure loss cost of the residential users in unit load.
In this embodiment, the "two-remote" distribution terminal has remote signaling and remote measuring functions, and the "three-remote" distribution terminal has remote signaling, remote measuring and remote controlling functions.
The number of distribution terminals is limited so that it does not exceed m% of the total number of installable locations, and the number of "three remote" distribution terminals is limited so that it does not exceed n% of the total number of installed distribution terminals.
For the 22-node system shown in fig. 2, the number of distribution terminals is limited to no more than 13, and the number of "three remote" distribution terminals is limited to no more than 7.
S4, solving the configuration model of the power distribution terminal equipment by using a bat algorithm;
the step S of solving the distribution terminal equipment configuration model by using the bat algorithm is as follows:
s4.1, initializing populations and parameters of the bat algorithm, wherein the populations and parameters comprise an echo loudness A, a pulse frequency r, an echo frequency Q, a sound wave loudness attenuation coefficient alpha, a pulse frequency enhancement coefficient gamma, an initial pulse frequency r0, a dimension D of a problem, a population number NP and an iteration number G. Using a binary string generated uniformly distributed by recursive randomness as an initial terminal mounting position random matrix B (B)1,b2,b3…bD)TWhen the recursion is ended, if the number of terminals does not exceed 7, the type acquisition matrix P (P) is established1,p2,p3…pD)TThe type acquisition matrix is as follows:
P＝1+rand(NP,D)*2
calculating the dot product of the type acquisition matrix P and the initial terminal installation position random matrix B as an initial bat position matrix X (X)1,x2,x3…xD)TThe numerical value of each position corresponds to the terminal installation type, and the subscript of each position corresponds to the terminal installation position; then, the fitness calculation is carried out to obtain the fitness of each population, namely the sum of the comprehensive cost of the terminal and the power failure loss cost, so as to obtain an initial global optimal population, namely the comprehensive cost of the terminal and the power failure loss cost under the condition of initial terminal installationThe power distribution terminal installation location and type with the smallest sum is recorded as bestS.
As shown in fig. 2, terminals are installed in a random matrix B (B)1,b2,b3…b26)TDot-product acquisition matrix P (P)1,p2,p3…p26)TObtaining an initial bat position matrix X (X)1,x2,x3…x26)TWherein x is1To x26Respectively corresponding to terminal installation on number 1,2, 3, 5, 6, 8, 10, 12, 14, 15, 17, 19, 21, 23, 25, 27, 30, 31, 33, 35, 36, 38, 40, 42, 43, 45 mains.
S4.2, each bat updates the speed according to the current speed and the distance between the current position and the optimal position, and the speed updating process is as follows:
vt+1＝vt+Q(xt-bestS)
then a group of new positions S is obtained according to the speed updatet(st 1,st 2,st 3…st D)TThe location update procedure is as follows:
xt+1＝xt+vt+1
s4.3, performing random flight, and if the random number of the bats is greater than the pulse frequency of the bats, randomly flying the bats according to the following formula to obtain a group of new positions St(st 1,st 2,st 3…st D)T：
xnew＝BestS+εAt
In which epsilon is a random number between 0 and 1, AtIs the echo loudness of the tth generation bat.
S4.4, if the adaptability of the new position is less than the adaptability of the previous generation and the random number of the bats is less than the echo loudness of the bats, then StNew position X as batt(xt 1,xt 2,xt 3…xt D)TUpdateAnd then judging the number and the type of the terminals, and if the number of the terminals is more than the number limit or the number of the 'three remote' is more than the number limit, returning the bat to the position before updating. Then the echo loudness and pulse frequency of the bat are updated according to the following formula:
At＝αtAt-1
rt＝r0(1-e-γt)
where α is the sound wave loudness attenuation coefficient, γ is the pulse frequency enhancement coefficient, and r0 is the initial pulse frequency. As the number of iterations increases, the echo loudness gradually decreases and the pulse frequency gradually increases.
And after updating, if the adaptability of the new position of the bat is less than that of the original global optimal position, setting the new position as the global optimal position, namely the installation position and the type of the power distribution terminal with the minimum sum of the comprehensive cost of the terminal and the power failure loss cost.
And S4.5, judging whether the termination condition is met, if the current iteration time t is more than G, outputting a global optimal solution, and otherwise, turning to S4.2 to continue the iteration.
And S5, obtaining the configuration positions and types of the two-remote power distribution terminal and the three-remote power distribution terminal with the lowest total cost, and outputting the configuration results of the power distribution terminal equipment.
And obtaining configuration positions and types of the two-remote power distribution terminal and the three-remote power distribution terminal with the lowest total cost by using the global optimal bat position obtained in the step S4, wherein each element in the global optimal bat position corresponds to a corresponding power distribution terminal installation position, if the range of the element is [0,1], the position is not provided with an electric terminal, the output matrix element corresponding to the position is 0, if the range of the element is [1,2], the position is provided with the two-remote power distribution terminal, the output matrix element corresponding to the position is 2, if the range of the element is [2,3], the position is provided with the three-remote power distribution terminal, and the output matrix element corresponding to the position is 3. And outputting the configuration result of the power distribution terminal equipment. The bat algorithm can solve the combined optimization problem of continuous discrete mixing, and is suitable for simultaneously planning the position and the type of the power distribution terminal.
The bat algorithm can solve the combined optimization problem of continuous discrete mixing, is suitable for simultaneously planning the position and the type of the power distribution terminal, and is far superior to other algorithms in the aspects of accuracy and effectiveness.
In the description of the present invention, it is to be understood that the terms "upper", "lower", "left", "right", etc., indicating an orientation or positional relationship are based on the orientation or positional relationship shown in the drawings and are used merely for convenience in describing the present invention and for simplifying the description, but do not indicate or imply that the device or element referred to must have a specific orientation, be constructed in a specific orientation, or be operated, and thus, should not be construed as limiting the present invention.
Furthermore, the method is simple. The terms "first", "second" and "first" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. In the description of the present invention, "a plurality" means two or more unless specifically limited otherwise.
It will be appreciated by those skilled in the art that various changes, modifications, substitutions and alterations can be made in these embodiments without departing from the principles and spirit of the invention. The present embodiments are, therefore, to be considered in all respects as illustrative and not restrictive, the scope of the invention being indicated by the appended claims rather than by the foregoing description, and all changes which come within the spirit and scope of the invention, and any equivalents thereto, such as those skilled in the art, are intended to be embraced therein.
Claims (8)
1. A power distribution terminal optimal configuration method considering multi-type user differential power failure loss is characterized by comprising the following steps:
s1, inputting relevant parameters of the power distribution network system;
s2, constructing a quantitative evaluation method and an evaluation system aiming at different types of user differential power failure loss;
s3, establishing a power distribution terminal equipment configuration model with the minimum sum of terminal comprehensive cost and power failure loss cost;
s4, solving the position and the type of the power distribution terminal equipment by using a bat bionic algorithm;
and S5, outputting the configuration result of the power distribution terminal equipment.
2. The method as claimed in claim 1, wherein in step S2, the user type includes the power outage loss F per unit load of industryICommercial unit load power outage loss FCAnd residential unit load power failure loss FRAnd respectively establishing an iterative solution formula.
3. The method as claimed in claim 1, wherein in step S3, the terminal aggregate cost F includes a terminal investment cost FTAnd terminal maintenance cost FWSeparately establishing terminal investment costs FTAnd terminal maintenance cost FWAnd an iterative solution model of the terminal comprehensive cost F.
4. The method for optimizing configuration of power distribution terminal according to claim 2, wherein the power loss cost of the user is calculated in step S3 by using the following formula:
wherein N is the number of industrial users, PiLoad of industrial user i, M number of commercial users, PjIs the load of the commercial user j, L is the number of the residential users, PkThe load of the residential user k.
5. The method as claimed in claim 1, wherein in step S3, the distribution terminal devices include two-remote terminal devices and three-remote terminal devices.
6. The method of claim 5, wherein in step S3, the number of distribution terminals is limited to not exceed m% of the total number of installable locations, and the number of three remote distribution terminals is limited to not exceed n% of the total number of installed distribution terminals.
7. The method as claimed in claim 6, wherein in step S4, the step S of solving the power distribution terminal equipment configuration model by using the bat algorithm is as follows:
s4.1, initializing the population and parameters of the bat algorithm, and using a binary string which is generated by recursion random and is uniformly distributed as an initial terminal installation position random matrix B (B)1，b2，b3…bD)TThen, the initial bat position matrix X (X) is obtained1，x2，x3…xD)TThe numerical value of each position corresponds to the terminal installation type, and the subscript of each position corresponds to the terminal installation position; then, calculating the fitness to obtain the fitness of each population, namely the sum of the comprehensive terminal cost and the power failure loss cost, so as to obtain an initial global optimal population, namely the installation position and the type of the power distribution terminal with the minimum sum of the comprehensive terminal cost and the power failure loss cost under the condition of initial terminal installation;
s4.2, each bat will update its speed according to its own current speed and the distance between the current position and the optimal position, and then obtain a set of new positions S according to the speed updatet(st 1，st 2，st 3…st D)T；
S4.3, if the random number of the bats is larger than the pulse frequency of the bats, the bats randomly fly to obtain a set of new positions St(st 1，st 2，st 3…st D)T：
S4.4, if the adaptability of the new position is less than the adaptability of the previous generation and the random number of the bats is less than the echo loudness of the bats, then StNew position X as batt(xt 1，xt 2，xt 3…xt D)TJudging the number and the type of the terminals after updating, if the number of the terminals is more than the number limit or the three-remote number is more than the number limit, returning the bat to the position before updating, and updating the echo loudness and the pulse frequency of the bat;
if the fitness of the new position of the bat is smaller than that of the original global optimal position after updating, setting the new position as the global optimal position, namely the installation position and the type of the power distribution terminal with the minimum sum of the comprehensive cost of the terminal and the power failure loss cost;
and S4.5, judging whether the termination condition is met, if the current iteration time t is more than G, outputting a global optimal solution, and otherwise, turning to S4.2 to continue the iteration.
8. The method as claimed in claim 7, wherein in step S5, the global optimal bat position obtained in step S4 is used to obtain the configuration position and type of the two-remote power distribution terminal and the three-remote power distribution terminal with the lowest total cost, and each element in the global optimal bat position corresponds to a corresponding power distribution terminal installation position;
if the range of the element is [0,1], the position is not provided with an electric terminal, the output matrix element corresponding to the position is 0, if the range of the element is [1,2], the position is provided with a two-remote power distribution terminal, the output matrix element corresponding to the position is 2, if the range of the element is [2,3], the position is provided with a three-remote power distribution terminal, the output matrix element corresponding to the position is 3, and the configuration result of the power distribution terminal equipment is output.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN115952925A (en) * | 2023-03-10 | 2023-04-11 | 南京理工大学 | Power distribution terminal optimal configuration method considering extreme weather |
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