CN110676852B - Improved extreme learning machine rapid probability load flow calculation method considering load flow characteristics - Google Patents
Improved extreme learning machine rapid probability load flow calculation method considering load flow characteristics Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
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Abstract
The invention discloses a method for calculating fast probability load flow of an improved extreme learning machine by considering load flow characteristics, which mainly comprises the following steps: 1) and acquiring basic data of the power network. 2) Based on basic data of the power network, establishing a mapping relation f: pi,Qi→Ui,θi.3) And decomposing the mapping relation and establishing an extreme learning machine neural network. 4) And (4) optimizing hidden layer parameters of the extreme learning machine neural network so as to establish an improved extreme learning machine neural network. 5) And inputting the basic data of the power network into the neural network of the improved extreme learning machine, and calculating to obtain the probability load flow of the power network. The method replaces the time-consuming solving process of a large-scale high-dimensional complex nonlinear power flow equation in the PPF calculation by a high-precision simulation method, thereby considering the actual engineering requirements of the PPF calculation on precision and speed.
Description
Technical Field
The invention relates to the field of electric power systems and automation thereof, in particular to a fast probability load flow calculation method of an improved extreme learning machine considering load flow characteristics.
Background
The increasing source and load uncertainty makes the Probabilistic Power Flow (PPF) an important tool for Power system planning, operation and reliability evaluation. The calculation of PPF is mainly divided into simulation method, analytic method and approximation method. The simulation method solves a large number of high-dimensional complex nonlinear power flow samples to ensure the accuracy of state quantity statistical analysis, but the calculation speed is insufficient. The analytic method carries out convolution calculation on the relation between input random variables to obtain state quantity probability distribution, and the approximation method approximately describes the statistical characteristics of the state quantity by using the digital characteristics of the input random variables, all aims to avoid large-scale sampling, and has high calculation speed but is difficult to ensure the accuracy. The existing method cannot meet the requirements of high precision and high speed of PPF.
The neural network can learn the mapping relation between input and output under the line and perform quick calculation on the line, and is expected to replace the time-consuming solving process of a high-precision simulation method for a large number of samples, thereby realizing both high precision and high speed. The deep learning algorithm in the neural network has strong fitting capability, but has the problems of large network parameter adjustment scale, long time consumption, lack of guidance and the like. And the other Extreme Learning Machine (ELM) algorithm has less adjusting parameters and is efficient to implement. However, when the ELM is applied to the PPF calculation, the problems that the shallow structure has limited feature extraction capability, errors are increased due to random generation of hidden layer parameters and the like need to be overcome.
Disclosure of Invention
The present invention is directed to solving the problems of the prior art.
The technical scheme adopted for achieving the purpose of the invention is that the improved extreme learning machine rapid probabilistic power flow calculation method considering the power flow characteristics mainly comprises the following steps:
1) and acquiring basic data of the power network.
Furthermore, the basic data of the power network mainly comprises active power, reactive power, voltage amplitude, voltage phase angle, branch active power and reactive power of the power network nodes.
2) Based on basic data of the power network, establishing a mapping relation f: pi,Qi→Ui,θi. Wherein, Pi、QiRespectively representing the active power and the reactive power injected by the node i. U shapei、θiRespectively representing nodesiVoltage magnitude and voltage phase angle.
3) And decomposing the mapping relation and establishing an extreme learning machine neural network.
Further, the main steps for establishing the neural network of the extreme learning machine are as follows:
3.1) mapping the relationship f: pi,Qi→Ui,θiDecomposed into a mapping relation f1:Pi,Qi→Pij,QijAnd a mapping relation f2:Pij,Qij→Ui,θi。
3.2) based on the mapping f1:Pi,Qi→Pij,QijAnd establishing a first-stage extreme learning machine neural network. Wherein the input layer is a nodeiInjected active power PiReactive power Q injected from node ii. The hidden layers include an unsupervised layer with an extreme learning sparse auto-encoder, a supervised layer with extreme learning raw algorithms, and a supervised layer with an error correction module. Branch active power P with output layer of line ijijAnd branch reactive power Q of line ijij。
Active power P injected by node iiReactive power Q injected from node iiAs follows:
in the formula, n represents the number of nodes in the power network, i, j represents the number of the nodes, j ∈ i represents that the node j needs to be connected with the node i, and j ═ i is included. Thetaij=θi-θjRepresenting the voltage angle difference of node j and node i. Gij、BijRespectively, conductance and susceptance.
3.3) based on the mapping f2:Pij,Qij→Ui,θiAnd establishing a second-stage extreme learning machine neural network. Wherein, the input layer is the branch active power P of the line ijijAnd branch reactive power Q of line ijij. The hidden layers include an unsupervised layer with an extreme learning sparse auto-encoder, a supervised layer with extreme learning raw algorithms, and a supervised layer with an error correction module. The output layer being a nodeiVoltage phase angle theta ofiAnd the voltage amplitude U of the node iiSquare of (2) Ti。
Wherein, the branch active power P of the line ijijAnd branch reactive power Q of line ijijAs follows:
4) and (4) optimizing hidden layer parameters of the extreme learning machine neural network so as to establish an improved extreme learning machine neural network.
Further, the main steps for optimizing hidden layer parameters of the neural network of the extreme learning machine are as follows:
4.1) in a supervised layer with error correction module, randomly generating parameters a and b which obey normal distribution and establishing optimized variablesWherein, mua、μbRespectively representing the mean values of the parameter a and the parameter b,representing the variance of parameter a and parameter b, respectively.
4.2) establishing a hidden layer output expression, namely:
in the formula, x represents hidden layer input data. g (-) represents the activation function. H ═ g (a · x + b) denotes the feature mapping matrix. a denotes hidden layer input weight. b represents the input deviation. β represents the output weight. λ is a penalty factor.
4.3) establishing an objective function, namely:
4.4) substituting the formula 4 into the formula 3, and calculating to obtain an optimized variable VoptNamely:
4.5) based on the optimization variable VoptAnd correcting the hidden layer input data to obtain the hidden layer output data.
5) And inputting the basic data of the power network into the neural network of the improved extreme learning machine, and calculating to obtain the probability load flow of the power network.
The technical effect of the present invention is undoubted. The method replaces the time-consuming solving process of a large-scale high-dimensional complex nonlinear power flow equation in the PPF calculation by a high-precision simulation method, thereby considering the actual engineering requirements of the PPF calculation on precision and speed. Therefore, the present invention has the following effects:
1) the fitting difficulty of the ELM to the PPF algorithm is reduced by decomposing and reducing the trend characteristics.
2) And the fitting capability of the ELM to the PPF calculation is improved by using the error correction mode.
3) The fitting effect of the ELM on the PPF calculation is improved by optimizing and solving the ELM hidden layer parameter optimal generation mode.
Drawings
FIG. 1 is a flow characteristic decomposition order-reducing diagram;
FIG. 2 illustrates an error correction mode;
fig. 3 is the overall structure of the FLM neural network.
Detailed Description
The present invention is further illustrated by the following examples, but it should not be construed that the scope of the above-described subject matter is limited to the following examples. Various substitutions and alterations can be made without departing from the technical idea of the invention and the scope of the invention is covered by the present invention according to the common technical knowledge and the conventional means in the field.
Example 1:
referring to fig. 1 to 3, the method for calculating the fast probability load flow of the improved extreme learning machine considering the load flow characteristics mainly comprises the following steps:
1) and acquiring basic data of the power network.
Furthermore, the basic data of the power network mainly comprises active power, reactive power, voltage amplitude, voltage phase angle, branch active power and reactive power of the power network nodes.
2) Based on basic data of the power network, establishing a mapping relation f: pi,Qi→Ui,θi. Wherein, Pi、QiRespectively representing the active power and the reactive power injected by the node i. U shapei、θiRepresenting the voltage magnitude and voltage phase angle, respectively, of node i.
3) And decomposing the mapping relation and establishing an extreme learning machine neural network.
Further, the main steps for establishing the neural network of the extreme learning machine are as follows:
3.1) mapping the relationship f: pi,Qi→Ui,θiDecomposed into a mapping relation f1:Pi,Qi→Pij,QijAnd a mapping relation f2:Pij,Qij→Ui,θi。
3.2) based on the mapping f1:Pi,Qi→Pij,QijAnd establishing a first-stage extreme learning machine neural network. Wherein the input layer is the active power P injected by the node iiReactive power Q injected from node ii. The hidden layers include an unsupervised layer with an extreme learning sparse auto-encoder, a supervised layer with extreme learning raw algorithms, and a supervised layer with an error correction module. Branch active power P with output layer of line ijijAnd branch reactive power Q of line ijij。
Active power P injected by node iiReactive power Q injected from node iiAs follows:
in the formula, n represents the number of nodes in the power network, i, j represents the number of the nodes, j ∈ i represents that the node j needs to be connected with the node i, and j ═ i is included. Thetaij=θi-θjRepresenting the voltage angle difference of node j and node i. Gij、BijRespectively, conductance and susceptance. U shapej、θjRepresenting the voltage magnitude and voltage phase angle, respectively, of node j.
3.3) based on the mapping f2:Pij,Qij→Ui,θiAnd establishing a second-stage extreme learning machine neural network. Wherein, the input layer is the branch active power P of the line ijijAnd branch reactive power Q of line ijij. The hidden layers include an unsupervised layer with an extreme learning sparse auto-encoder, a supervised layer with extreme learning raw algorithms, and a supervised layer with an error correction module. The output layer being a nodeiVoltage phase angle theta ofiAnd the voltage amplitude U of the node iiSquare of (2) Ti。
Wherein, the branch active power P of the line ijijAnd branch reactive power Q of line ijijAs follows:
in the formula, TjIs the voltage amplitude UjSquare of (d).
4) And (4) optimizing hidden layer parameters of the extreme learning machine neural network so as to establish an improved extreme learning machine neural network.
Further, the main steps for optimizing hidden layer parameters of the neural network of the extreme learning machine are as follows:
4.1) in a supervised layer with error correction module, randomly generating parameters a and b which obey normal distribution and establishing optimized variablesWherein, mua、μbRespectively representing the mean values of the parameter a and the parameter b,representing the variance of parameter a and parameter b, respectively.
4.2) establishing a hidden layer output expression, namely:
in the formula, x represents hidden layer input data. g (-) represents the activation function. H ═ g (a · x + b) denotes the feature mapping matrix. a denotes hidden layer input weight. b represents the input deviation. β represents the output weight. λ is a penalty factor. The superscript T denotes transpose.For iteratively modified hidden layer outputs, f (x) is the hidden layer output.
4.3) establishing an objective function, namely:
4.4) substituting the formula 4 into the formula 3, and calculating to obtain an optimized variable VoptNamely:
4.5) based on the optimization variable VoptAnd correcting the hidden layer input data to obtain the hidden layer output data.
5) And inputting the basic data of the power network into the neural network of the improved extreme learning machine, and calculating to obtain the probability load flow of the power network.
Example 2:
the fast probability load flow calculation method of the improved extreme learning machine considering the load flow characteristics mainly comprises the following steps:
1) and acquiring basic data of the power network.
2) Based on basic data of the power network, establishing a mapping relation f: pi,Qi→Ui,θi. Wherein, Pi、QiRespectively representing the active power and the reactive power injected by the node i. U shapei、θiRespectively representing nodesiVoltage magnitude and voltage phase angle.
3) And decomposing the mapping relation and establishing an extreme learning machine neural network.
4) And (4) optimizing hidden layer parameters of the extreme learning machine neural network so as to establish an improved extreme learning machine neural network.
5) And inputting the basic data of the power network into the neural network of the improved extreme learning machine, and calculating to obtain the probability load flow of the power network.
Example 3:
the method for calculating the fast probability load flow of the improved extreme learning machine considering the load flow characteristics mainly comprises the following steps of embodiment 2, wherein the method for establishing the neural network of the extreme learning machine comprises the following main steps:
1) and mapping the relation f: pi,Qi→Ui,θiDecomposed into a mapping relation f1:Pi,Qi→Pij,QijAnd a mapping relation f2:Pij,Qij→Ui,θi。
2) Based on the mapping relation f1:Pi,Qi→Pij,QijAnd establishing a first-stage extreme learning machine neural network. Wherein the input layer is the active power P injected by the node iiReactive power Q injected from node ii. The hidden layers include an unsupervised layer with an extreme learning sparse auto-encoder, a supervised layer with extreme learning raw algorithms, and a supervised layer with an error correction module. Branch active power P with output layer of line ijijAnd branch reactive power Q of line ijij。
Active power P injected by node iiReactive power Q injected from node iiAs follows:
in the formula, n represents the number of nodes in the power network, i, j represents the number of the nodes, j ∈ i represents that the node j needs to be connected with the node i, and j ═ i is included. Thetaij=θi-θjRepresenting the voltage angle difference of node j and node i. Gij、BijRespectively, conductance and susceptance.
3) Based on the mapping relation f2:Pij,Qij→Ui,θiAnd establishing a second-stage extreme learning machine neural network. Wherein, the input layer is the branch active power P of the line ijijAnd branch reactive power Q of line ijij. The hidden layers include an unsupervised layer with an extreme learning sparse auto-encoder, a supervised layer with extreme learning raw algorithms, and a supervised layer with an error correction module. The output layer being a nodeiVoltage phase angle theta ofiAnd the voltage amplitude U of the node iiSquare of (2) Ti。
Wherein, the branch active power P of the line ijijAnd branch reactive power Q of line ijijAs follows:
example 4:
the method for calculating the fast probability load flow of the improved extreme learning machine considering the load flow characteristics mainly comprises the following steps of embodiment 2,
the main steps for optimizing hidden layer parameters of the neural network of the extreme learning machine are as follows:
1) in a supervised layer with error correction module, parameters a and b obeying normal distribution are randomly generated and optimized variables are establishedWherein, mua、μbRespectively representing the mean values of the parameter a and the parameter b,respectively represent ginsengThe variance of the number a and the parameter b.
2) Establishing a hidden layer output expression, namely:
in the formula, x represents hidden layer input data. g (-) represents the activation function. H ═ g (a · x + b) denotes the feature mapping matrix. a denotes hidden layer input weight. b represents the input deviation. β represents the output weight. λ is a penalty factor.
3) Establishing an objective function, namely:
4) substituting the formula 4 into the formula 3, and calculating to obtain an optimized variable VoptNamely:
5) based on an optimization variable VoptAnd correcting the hidden layer input data to obtain the hidden layer output data.
Example 5:
the experiment for verifying the improved extreme learning machine rapid probability load flow calculation method considering the load flow characteristics mainly comprises the following steps:
1) the effectiveness of the invention is verified by IEEE 57 calculation examples, the permeability is 45%, and the load fluctuation is 10%. The comparison algorithm comprises the following steps: m7: the unmodified ELM algorithm. M1: and (4) considering a power flow characteristic decomposition order reduction method on the basis of M7. M2: the method of error correction mode is further considered on the basis of M1. M3: the method for optimizing hidden layer parameters is further considered on the basis of M2. The accuracy and maximum out-of-limit comparison results of the branch active power, the branch reactive power, the node voltage phase angle and the node voltage amplitude obtained by the algorithms are shown in table 1. Simulation results show that the fitting effect of the ELM algorithm on probability load flow calculation is effectively improved.
TABLE 1 comparison of the improved results of the present invention in the IEEE 57 calculation example
2) Superiority verification and analysis of the invention
The superiority of the invention is verified by IEEE 57 and IEEE 2383 calculation examples, wherein the permeability of IEEE 2383 is 30%, and the load fluctuation is 10%. The comparison algorithm comprises the following steps: m0: the invention relates to a method for preparing a high-temperature-resistant ceramic material. M4: and (3) taking a traditional Newton-Raphson iteration method as a precision standard. M5: a commonly used deep learning algorithm SDA. M6: a common deep learning algorithm SAE. The accuracy comparison results of the training time, the testing time, the node voltage phase angle and the amplitude of each algorithm are shown in tables 2 and 3. Simulation results show that the test time and the precision performance are comprehensively considered, compared with other algorithms, the method can realize high-precision and high-speed PPF calculation, the training time is far shorter than that of a deep learning algorithm, the method is more suitable for the actual engineering requirements, and the superiority is verified.
In conclusion, the invention provides an improved ELM rapid PPF calculation method considering the trend characteristics. The PPF calculation fitting difficulty is reduced by using a load flow characteristic decomposition order reduction method, an error correction mode and a hidden layer parameter optimization model are provided to improve the ELM fitting capability, and the PPF calculation method with high precision and high speed is formed. Example researches show that compared with other algorithms, the method is more suitable for engineering requirements of power system probability load flow calculation.
Claims (3)
1. The fast probability load flow calculation method of the improved extreme learning machine considering the load flow characteristics is characterized by mainly comprising the following steps of:
1) acquiring basic data of a power network;
2) establishing a mapping relation f: P based on basic data of the power networki,Qi→Ui,θi(ii) a Wherein, Pi、QiRespectively representing active power and reactive power injected by a node i; u shapei、θiRespectively representing the voltage amplitude and the voltage phase angle of the node i;
3) decomposing the mapping relation and establishing an extreme learning machine neural network;
the method mainly comprises the following steps of:
3.1) mapping the relationship f to Pi,Qi→Ui,θiDecomposed into a mapping relation f1:Pi,Qi→Pij,QijAnd a mapping relation f2:Pij,Qij→Ui,θi;
3.2) based on the mapping f1:Pi,Qi→Pij,QijEstablishing a first-stage extreme learning machine neural network; wherein the input layer is the active power P injected by the node iiReactive power Q injected from node ii(ii) a The hidden layer comprises an unsupervised layer with an extreme learning machine sparse self-encoder, a supervised layer with an extreme learning machine original algorithm and a supervised layer with an error correction module; branch active power P with output layer of line ijijAnd branch reactive power Q of line ijij;
Active power P injected by node iiReactive power Q injected from node iiAs follows:
in the formula, n represents the number of nodes in the power network, i, j represents the number of the nodes, j belongs to i and represents that the node j needs to be connected with the node i, and j is equal to i; thetaij=θi-θjRepresents the voltage phase angle difference of the node j and the node i; gij、BijRespectively representing conductance and electricityNano;
3.3) based on the mapping f2:Pij,Qij→Ui,θiEstablishing a second-stage extreme learning machine neural network; wherein, the input layer is the branch active power P of the line ijijAnd branch reactive power Q of line ijij(ii) a The hidden layer comprises an unsupervised layer with an extreme learning machine sparse self-encoder, a supervised layer with an extreme learning machine original algorithm and a supervised layer with an error correction module; the phase angle theta of the voltage with the output layer as a node iiAnd the voltage amplitude U of the node iiSquare of (2) Ti;
Wherein, the branch active power P of the line ijijAnd branch reactive power Q of line ijijAs follows:
4) optimizing hidden layer parameters of the neural network of the extreme learning machine so as to establish an improved neural network of the extreme learning machine;
5) and inputting the basic data of the power network into the neural network of the improved extreme learning machine, and calculating to obtain the probability load flow of the power network.
2. The improved extreme learning machine fast probabilistic power flow calculation method considering power flow characteristics as claimed in claim 1, wherein: the basic data of the power network mainly comprise active power, reactive power, voltage amplitude, voltage phase angle, branch active power and reactive power of power network nodes.
3. The method for improving the rapid probabilistic power flow calculation of the extreme learning machine considering the power flow characteristics as claimed in claim 1, wherein the main steps of optimizing hidden layer parameters of the neural network of the extreme learning machine are as follows:
1) in thatIn a supervised layer with an error correction module, parameters a and b which are subject to normal distribution are randomly generated, and an optimized variable is establishedWherein, mua、μbRespectively representing the mean values of the parameter a and the parameter b,respectively representing the variances of the parameter a and the parameter b;
2) establishing a hidden layer output expression, namely:
in the formula, x represents hidden layer input data; g (-) represents an activation function; h ═ g (a · x + b) represents the feature mapping matrix; a represents hidden layer input weight; b represents an input deviation; β represents an output weight; λ is a penalty factor;
3) establishing an objective function, namely:
4) substituting the formula 4 into the formula 3, and calculating to obtain an optimized variable VoptNamely:
5) based on an optimization variable VoptAnd correcting the hidden layer input data to obtain the hidden layer output data.
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