CN110414718A - A kind of distribution network reliability index optimization method under deep learning - Google Patents

A kind of distribution network reliability index optimization method under deep learning Download PDF

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CN110414718A
CN110414718A CN201910599100.3A CN201910599100A CN110414718A CN 110414718 A CN110414718 A CN 110414718A CN 201910599100 A CN201910599100 A CN 201910599100A CN 110414718 A CN110414718 A CN 110414718A
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distribution network
deep learning
reliability index
sample
network
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孙园园
单鸿涛
章文俊
戴少康
任丽佳
闫普虹
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Shanghai University of Engineering Science
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
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    • G06Q10/04Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • 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
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Abstract

The present invention relates to a kind of distribution network reliability index optimization methods under deep learning, comprising steps of 1) collecting sample data, construct training sample and test sample;2) deepness belief network structure is determined;3) training sample is inputted into deepness belief network, deepness belief network model is optimized;4) test sample is input to the deepness belief network model after optimization, obtains corresponding distribution network reliability index;5) critical value is determined, the distribution network reliability index that will acquire is compared with existing precise results, if relative error is greater than or equal to critical value, after then adjusting the network number of plies and node number, repeat step 3)~4), if relative error is less than critical value, the optimization that the distribution network reliability under deep learning obtains is completed.Compared with prior art, the present invention has many advantages, such as complete, scientific, reliably obtain the distribution network reliability index under the deep learning of optimization, and guarantees index accuracy, shortening calculating time.

Description

A kind of distribution network reliability index optimization method under deep learning
Technical field
The present invention relates to distribution network reliability analysis fields, more particularly, to the distribution network reliability under a kind of deep learning Index optimization method.
Background technique
Power distribution network is a part indispensable in electric system, the conventional method packet of existing distribution network reliability analysis Analytic method, simulation etc. are included, is all the calculating distribution network reliability index based on power distribution network component reliability parameter, it is difficult to Suitable for all types of distribution net work structures, and it cannot be considered in terms of result precision and calculate the time.The advantage of intelligent algorithm exists Objective law, fuzzy parameter, determination of blind number existing for being analyzed inside event by analogue simulator method etc., establishes input Relationship between vector and output vector.In recent years, at home and abroad utilizing artificial intelligence under the continuously attempting to of experts and scholars Method, which analyzes the reliability of distribution network system element and distribution network system, also achieves certain progress, mentions on this basis The analysis and assessment algorithm such as Fuzzy Reliability and artificial neural network is gone out.Electric network composition is increasingly complicated, data volume is gradually increased, with Artificial intelligence is also rapidly developing, becomes increasingly popular simultaneously for this, and wherein deep learning algorithm also reaches its maturity.However how to provide one The electric network reliability index optimization method of kind more accurateization is still the major issue nowadays to be solved.
Summary of the invention
It is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide under a kind of deep learning Distribution network reliability index optimization method.
The purpose of the present invention can be achieved through the following technical solutions:
A kind of distribution network reliability index optimization method under deep learning, including the following steps:
S1: collecting sample data construct training sample and test sample.
The data of training sample matrix include topology data, line parameter circuit value, the power distribution network component reliability of power distribution network Parameter and load class parameter.The line parameter circuit value includes each line length, each circuit types, the distribution mesh element Dependability parameter includes line failure rate, route average time for repair of breakdowns, transformer fault rate, transformer mean failure rate reparation Time, circuit breaker failure rate, breaker average time for repair of breakdowns, bus-bar fault rate, bus average time for repair of breakdowns, segmentation Switch fault rate, block switch fault correction time, the load class parameter include the total number of users of load point.
S2: deepness belief network structure, including the setting network number of plies, node number and original state parameter are determined.
Hidden layer is set four layers by the structure for determining deep learning network, wherein each node in hidden layer maximum value isM is sample distribution network structure structure number, and n is the number of single sample input data;By original state parameter It is set as minimum, wherein the output feature vector of output layer is set as Q=3, and output feature vector includes that three classes power distribution network is reliable (System average interruption frequency index, system System average interruption frequency refer to property index S AIFI Mark), SAIDI (System average interruption duration index, system System average interruption duration), ASAI (Average service availability index, averagely power supply Availability Index).Original state parameter includes Cycle of training, learning rate, activation primitive, input layer number, output layer number of nodes, the bias vector of visible layer, hidden layer Bias vector and weight.
S3: inputting deepness belief network for training sample, optimizes to deepness belief network model;
It is input in deepness belief network after obtaining incidence matrix to training sample, gradually trains in deepness belief network The bias vector b of all RBM, weight matrix W, the bias vector a of visible layer and hidden layer, the update principle expression formula of parameter Are as follows:
Wherein, ε is the learning rate of gradient descent method,<>reconFor the probability of visible layer or hidden layer point after once reconstructing Cloth, v are that visible layer observes data, and h is implicit layer data;
The parameter that training obtains is input in BP network and carries out Reverse optimization training, makes weight matrix W and bias vector A, b parameter updates again, obtains complete depth belief network model.
Formula is chosen in the bias vector a initialization of visible layer are as follows:
In formula, piThe ratio of total sample number shared by the sample for being 1 for ith feature value;
The bias vector b initialization of hidden layer takes 0;
Each numerical value is initialized as the random number of normal distribution N (0,0.1) in weight matrix W.
Preferably, in the training process, cycle of training be each layer RBM iteration 30 times, entire deep learning network iteration 5000 times, and ReLU function is chosen as activation primitive.
S4: test sample is input to the deepness belief network model after optimization, corresponding distribution network reliability is obtained and refers to Mark;
S5: determining critical value, and the distribution network reliability index that step S4 is obtained is compared with existing precise results, if Relative error is greater than or equal to critical value, then after adjusting the network number of plies and node number, step S3~S4 is repeated, if relative error Less than critical value, then the optimization that the distribution network reliability under deep learning obtains is completed.Have precise results by commercial reliability Software for calculation CYME, which is calculated, to be obtained.
Compared with prior art, the selection distribution network reliability influence factor of the method for the present invention maximum magnitude, by it is each because The numerical value input deep learning network of element is trained, and the accuracy according to gained distribution network reliability index, to depth It practises network structure to be adjusted, to obtain the deep learning network for being most suitable for distribution network reliability analysis;The method of the present invention energy Distribution network reliability index under enough complete, science, the reliable deep learning for obtaining optimization, and this method can guarantee power distribution network The accuracy of reliability index is applicable to a variety of distribution network structure structures, while the deep learning network after training can Shorten the calculating time of mass data.
Detailed description of the invention
Fig. 1 is the flow diagram of the method for the present invention;
Fig. 2 is power distribution network network topological diagram;
Fig. 3 is that ten sample ASAI indexs are opposite compared to existing accurate result in test matrix in the embodiment of the present invention Error line chart.
Specific embodiment
The present invention is described in detail with specific embodiment below in conjunction with the accompanying drawings.Obviously, described embodiment is this A part of the embodiment of invention, rather than whole embodiments.Based on the embodiments of the present invention, those of ordinary skill in the art exist Every other embodiment obtained under the premise of creative work is not made, all should belong to the scope of protection of the invention.
Embodiment
The present invention can restore after selecting breaker, bus, overhead transmission line, cable run, block switch etc. to repair Reliability, network topology structure and network parameter of power distribution network component to normal operating conditions etc. are used as deep learning net Network input.
Deep learning network includes deepness belief network, convolutional neural networks and Recognition with Recurrent Neural Network etc. at present.It is wherein deep It is more flexible to spend belief network (Deep Belief Network, DBN) model, has merged unsupervised learning and supervised learning Advantage, can from great amount of samples learning data set substantive characteristics, with other methods compatibility preferably, therefore the present invention The depth conviction net formed is stacked using multiple limited Boltzmann machines (Restricted Boltzmann Machines, RBM) Network model is for obtaining more optimal distribution network reliability index.Distribution network reliability based on deepness belief network refers to Mark is obtained and is realized by TensorFlow deep learning frame.
The present invention relates to a kind of distribution network reliability index optimization methods under deep learning, as shown in Figure 1, specifically including Following steps:
Step 1: collecting sample data or reference distribution network reliability sample database, construct training sample matrix and survey Try sample matrix.
Sample is m * n matrix, and wherein m is sample distribution network structure structure number, and n is the number of state of electric distribution network parameter. Wherein, have four major class distribution network datas as input: 1, the topological structure 2 of power distribution network, line parameter circuit value are (each line length, each Circuit types) 3, power distribution network component reliability parameter (line failure rate, route average time for repair of breakdowns, transformer fault Rate, transformer average time for repair of breakdowns, circuit breaker failure rate, breaker average time for repair of breakdowns, bus-bar fault rate, bus Average time for repair of breakdowns, block switch failure rate, block switch fault correction time) 4, load class parameter (always use by load point Amount).
By three classes distribution network reliability index S AIFI (System average interruption frequency Index, system System average interruption frequency index), SAIDI (System average interruption duration index, System System average interruption duration), ASAI (Average service availability index, averagely power supply availability Index) output characteristic vector (vector element number Q=3) as deep learning network.
Step 2: by the topological structure of power distribution network as input by way of being converted into incidence matrix.
When, there are k node, incidence matrix can be then the rectangular of a k*k in a power distribution network network topology structure Formula can determine the element value of each single item in matrix according to following formula, wherein if only one section of connection between node i and j, And route does not include other nodes, element aijIt is indicated with 1, is otherwise just indicated with 0.
Power distribution network can be big according to power load distributing quantity, density variation, geographical conditions situation, position of source, voltage class The structures such as situations such as small difference forms different structures, and foundation structure is for example tree-shaped, hand in hand, multi-joint network is segmented more.Such as Shown in Fig. 2, the power distribution network network topology model of ten node trees is possessed for one, incidence matrix is a 10*10 Matrix.When the point in incidence matrix on diagonal line represents same node, element value should be set as 1, i.e., diagonal line element in matrix Element is that 1, Fig. 2 interior joint 1 is only associated with node 2, so a21With a12Value is all set to 1, other onrelevant elements are all set to 0, And so on, incidence matrix A corresponding to available Fig. 2 are as follows:
In power distribution network topological structure matrix, the size of numerical value represents the distance between associated nodes.Except opening up for power distribution network It flutters outside structure, other three categories state of electric distribution network parameters are all in a manner of numerical value as the input of deep learning network.
Step 3: determining the structure of deepness belief network.
The network number of plies and node number are set, wherein each node layer number maximum value isIt is determined by following principle.
A. structure as compact as possible is taken under the premise of meeting required precision, that is, exhausts the hidden layer node that may lack Number.Studies have shown that node in hidden layer is not only related with Shu Ru, the number of nodes of output layer, the complicated journey with problem to be solved The factors such as the characteristic of degree, the pattern of transfer function and sample data are also related.
B. node in hidden layer is necessarily less than N-1 (wherein N is number of training), otherwise, the systematic error of network model Unrelated with the characteristic of training sample and go to zero, that is, the network model established does not have generalization ability, without any practical value yet. Therefore the number of nodes of input layer (variable number) is necessarily less than N-1.
C. number of training must be more than the connection flexible strategy of network model, and generally 2~10 times, otherwise, sample must divide It is likely to obtain reliable neural network model at several parts and using the method for " trained in turn ".
Original state parameter is set as minimum, including cycle of training, learning rate, activation primitive, input layer number, output Node layer number, biasing and weight, in which: input layer number is taken as 209, and output layer neuron number is taken as 3;Training week Phase be each layer RBM iteration 30 times, entire deep learning network iteration 5000 times;RBM learning rate takes 0.0001, entire depth It practises e-learning rate and takes 0.005, activation primitive chooses ReLU function.Relative to Sigmoid and Tanh activation primitive, ReLU is not only Gradient decline, backpropagation can be made in deep learning network training process more efficient, gradient explosion and gradient is avoided to disappear Problem, and calculating process can be simplified, without the influence of such as exponential function in other complicated activation primitives, while liveness Dispersibility make neural network overall calculation complexity reduce, the time reduce.ReLU function is shown below:
F (x)=max (0, x)
The bias vector a initialization of visible layer takes:
Wherein, piIt is expressed as the ratio of total sample number shared by the sample that ith feature value is 1, hidden layer is biased towards Amount b initialization takes 0;Each numerical value is initialized as the random number of normal distribution N (0,0.1) in weight matrix W.
Step 4: network model parameter optimization.
Training sample is inputted in deepness belief network, all RBM in deepness belief network, weight matrix are gradually trained W and the update of bias vector a, b parameter are shown below:
Wherein, ε is the learning rate of gradient descent method,<>reconFor the probability of visible layer or hidden layer point after once reconstructing Cloth, v are that visible layer observes data, and h is implicit layer data, is used for feature extraction.
The parameter that training obtains is input in BP network and carries out Reverse optimization training, makes weight matrix W and bias vector A, b parameter updates again, obtains complete depth belief network model.
Step 5: input test matrix, obtains corresponding distribution network reliability index.
The reliability index of output is respectively SAIFI, SAIDI, ASAI, is presented with the matrix form of m × 3, by visual Change process is compared result and existing precise results in the form of line chart, the error of observation.Have precise results by commercialization Calculation of Reliability software CYME, which is calculated, to be obtained.
Step 6: determining critical value μ.
According to pertinent literature and experience, critical value μ takes 0.03, by gained output distribution net reliability index relative error with μ is compared: being adjusted the network number of plies and node number if Error Absolute Value is greater than or equal to μ, is repeated Step 4: five;If small In μ, then the distribution network reliability optimization under deep learning is completed.
Since test matrix sample size is more, ten samples are taken at random in test matrix, its ASAI index is compared In existing accurate result, by visualization process, its relative error is shown in the form of line chart, as shown in figure 3, maximum value is 0.05%, it is much smaller than allowable error range 3%, meets result requirement.
The present embodiment is illustrated the method for the present invention by taking a power distribution network sample as an example.
Choose four major class totally ten four kinds of input datas, respectively each line length, each circuit grade, line fault Rate, route average time for repair of breakdowns, transformer fault rate, transformer average time for repair of breakdowns, circuit breaker failure rate, open circuit Device average time for repair of breakdowns, bus-bar fault rate, bus average time for repair of breakdowns, block switch failure rate, block switch event Hinder repair time, the total number of users of load point, power distribution network topological structure.Wherein, a certain typical 10 joint net frame structure of selection It is line failure rate in case, route average time for repair of breakdowns, transformer fault rate, transformer average time for repair of breakdowns, disconnected Road device failure rate, breaker average time for repair of breakdowns, bus-bar fault rate, bus average time for repair of breakdowns, block switch event Barrier rate, block switch fault correction time, the data of the total number of users of load point be respectively 1.97,9,0,200,0.01,4, 0.13,10.48,0.06,2,1232}。
For the distribution network structure structure of 10 nodes, the topology knot of the power distribution network indicated with 10 × 10 matrix B is obtained Structure is shown below:
The sample shares 209 input feature vectors, and first layer visible layer has 209 neurons corresponding, therefore input layer is refreshing 209 are taken as through first number;Output layer neuron number is taken as 3;Every layer RBM iteration 30 times in training process, entire DBN iteration 5000 times;RBM learning rate takes 0.0001, and entire DBN learning rate takes 0.005;Activation primitive chooses ReLU function;Visible layer it is inclined Vector a initialization is set to take:
Pass through 4 layers of hidden layer h1, h2, h3, h4, (being corresponding in turn to 600,1000,1500,2000 neurons) reaches output 3 neurons of layer, the numerical value of three classes distribution network reliability output-index SAIFI, SAIDI, ASAI are 0.953,8.249, 0.99906.The distribution network reliability optimization being finally completed under deep learning.
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any The staff for being familiar with the art in the technical scope disclosed by the present invention, can readily occur in various equivalent modifications or replace It changes, these modifications or substitutions should be covered by the protection scope of the present invention.Therefore, protection scope of the present invention should be with right It is required that protection scope subject to.

Claims (10)

1. a kind of distribution network reliability index optimization method under deep learning, which is characterized in that this method includes the following steps:
1) collecting sample data construct training sample and test sample;
2) deepness belief network structure, including the setting network number of plies, node number and original state parameter are determined;
3) training sample is inputted into deepness belief network, deepness belief network model is optimized;
4) test sample is input to the deepness belief network model after optimization, obtains corresponding distribution network reliability index;
5) it determines critical value, the distribution network reliability index that step 4) obtains is compared with existing precise results, if relatively Error is greater than or equal to critical value, then after adjusting the network number of plies and node number, repeats step 3)~4), if relative error is less than Critical value then completes the optimization that the distribution network reliability under deep learning obtains.
2. the distribution network reliability index optimization method under a kind of deep learning according to claim 1, which is characterized in that The data of training sample matrix include the topology data of power distribution network, line parameter circuit value, power distribution network component reliability parameter and negative Lotus class parameter.
3. the distribution network reliability index optimization method under a kind of deep learning according to claim 2, which is characterized in that The line parameter circuit value includes each line length, each circuit types, and the power distribution network component reliability parameter includes line Road failure rate, route average time for repair of breakdowns, transformer fault rate, transformer average time for repair of breakdowns, circuit breaker failure Rate, breaker average time for repair of breakdowns, bus-bar fault rate, bus average time for repair of breakdowns, block switch failure rate, segmentation Switch fault repair time, the load class parameter include the total number of users of load point.
4. the distribution network reliability index optimization method under a kind of deep learning according to claim 3, which is characterized in that The particular content of step 2) are as follows:
Hidden layer is set four layers by the structure for determining deep learning network, wherein each node in hidden layer maximum value is M is sample distribution network structure structure number, and n is the number of single sample input data;Original state parameter is set as minimum, Wherein the output feature vector of output layer is set as Q=3, output feature vector include three classes distribution network reliability index S AIFI, SAIDI、ASAI。
5. the distribution network reliability index optimization method under a kind of deep learning according to claim 4, which is characterized in that Original state parameter include cycle of training, learning rate, activation primitive, input layer number, output layer number of nodes, visible layer it is inclined Set the bias vector and weight of vector, hidden layer.
6. the distribution network reliability index optimization method under a kind of deep learning according to claim 5, which is characterized in that The particular content of step 3) are as follows:
It is input in deepness belief network, gradually trains all in deepness belief network after obtaining incidence matrix to training sample The bias vector b of RBM, weight matrix W, the bias vector a of visible layer and hidden layer, the update principle expression formula of parameter are as follows:
Wherein, ε is the learning rate of gradient descent method,<>reconFor visible layer or the probability distribution of hidden layer after once reconstructing, v Data are observed for visible layer, h is implicit layer data;
The parameter that training obtains is input in BP network and carries out Reverse optimization training, joins weight matrix W and bias vector a, b Number updates again, obtains complete depth belief network model.
7. the distribution network reliability index optimization method under a kind of deep learning according to claim 6, which is characterized in that Formula is chosen in the bias vector a initialization of visible layer are as follows:
In formula, piThe ratio of total sample number shared by the sample for being 1 for ith feature value;
The bias vector b initialization of hidden layer takes 0;
Each numerical value is initialized as the random number of normal distribution N (0,0.1) in weight matrix W.
8. the distribution network reliability index optimization method under a kind of deep learning according to claim 6, which is characterized in that Step 3) in the training process, cycle of training be each layer RBM iteration 30 times, entire deep learning network iteration 5000 times.
9. the distribution network reliability index optimization method under a kind of deep learning according to claim 6, which is characterized in that ReLU function is chosen as activation primitive.
10. the distribution network reliability index optimization method under a kind of deep learning according to claim 1, feature exist In in step 5), existing precise results are calculated by commercial reliability software for calculation CYME to be obtained.
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