CN115632406A - Reactive voltage control method and system based on digital-mechanism fusion drive modeling - Google Patents

Reactive voltage control method and system based on digital-mechanism fusion drive modeling Download PDF

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CN115632406A
CN115632406A CN202211645141.XA CN202211645141A CN115632406A CN 115632406 A CN115632406 A CN 115632406A CN 202211645141 A CN202211645141 A CN 202211645141A CN 115632406 A CN115632406 A CN 115632406A
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reactive power
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CN115632406B (en
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魏然
祖国强
黄旭
李治
徐智
丁琪
晋萃萃
魏炜
王禹东
王尚
吴俣
李东伟
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State Grid Corp of China SGCC
State Grid Tianjin Electric Power Co Ltd
Electric Power Research Institute of State Grid Tianjin Electric Power Co Ltd
Chengdong Power Supply Co of State Grid Tianjin Electric Power Co Ltd
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State Grid Corp of China SGCC
State Grid Tianjin Electric Power Co Ltd
Electric Power Research Institute of State Grid Tianjin Electric Power Co Ltd
Chengdong Power Supply Co of State Grid Tianjin Electric Power Co Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/12Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
    • H02J3/16Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by adjustment of reactive power
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/003Load forecast, e.g. methods or systems for forecasting future load demand
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2300/00Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
    • H02J2300/20The dispersed energy generation being of renewable origin
    • H02J2300/22The renewable source being solar energy
    • H02J2300/24The renewable source being solar energy of photovoltaic origin
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
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Abstract

The invention provides a reactive voltage control method and a system based on digital-mechanism fusion drive modeling, wherein the method comprises the following steps: in the off-line training stage, the reactive power optimization result based on the deterministic optimization model is used as input characteristics, the reactive power optimization result based on the stochastic optimization model is used as an output label, and the model containing the target neural network is trained. The method has causal knowledge with clear mechanism models and strong fitting capability of digital models, and can realize accurate and rapid online control of system voltage, thereby effectively relieving the voltage fluctuation problem caused by randomness of new energy and loads to a certain extent, and ensuring the operation safety and power supply reliability of a power grid.

Description

Reactive voltage control method and system based on digital-mechanism fusion drive modeling
Technical Field
The invention belongs to the technical field of power system control, and particularly relates to a reactive voltage control method and system based on digital-mechanism fusion drive modeling.
Background
Under the influence of Distributed Generation (DG) and wide access of flexible loads, the characteristics and operation control of a power distribution network system are increasingly complex, and meanwhile, the randomness of fan power Generation, photovoltaic power Generation and loads also causes an increasingly serious voltage fluctuation problem, so that the problem becomes a key problem to be solved urgently in the construction of a novel power system. The traditional reactive voltage optimization control method is mainly based on an accurate power grid mechanism model, but the calculation precision and the calculation speed of the traditional reactive voltage optimization control method cannot meet the voltage control requirement of a novel power distribution system containing a large amount of new energy.
Disclosure of Invention
Aiming at the problems, the invention provides a reactive voltage control method based on digital-mechanism fusion drive modeling, which comprises the following steps:
in the off-line training stage, a reactive power optimization result based on a deterministic optimization model is used as an input feature, a reactive power optimization result based on a random optimization model is used as an output label, and a model containing a target neural network is trained.
Further, the reactive power optimization result based on the stochastic optimization model is generated by the following steps:
and performing reactive power optimization on historical observation data of the system by adopting a random optimization model based on a Latin hypercube sampling method to obtain a reactive power optimization control strategy corresponding to the historical observation data, and forming a first reactive power optimization strategy.
Further, a reactive power optimization result based on the deterministic optimization model is generated by the following method:
and performing reactive power optimization on historical observation data of the system by adopting a deterministic optimization model based on mixed integer second-order cone relaxation to obtain a corresponding reactive power optimization control strategy as a second reactive power optimization strategy.
Furthermore, the target neural network model adopts a model in which a convolutional neural network CNN is combined with a gating circulation unit GRU, namely a CNN-GRU model.
Further, the reactive power optimization result based on the stochastic optimization model is generated by the following steps:
according to historical observation data, estimating Beta distribution related parameters of illumination intensity, weibull distribution related parameters of wind speed and normal distribution related parameters of load power at a certain moment, taking an observation value of the load power at the moment as a mean value parameter of the normal distribution, and then obtaining probability distribution and related parameters of corresponding photovoltaic power generation output power and fan power generation output power at the moment according to an approximate relational expression between the photovoltaic power generation output power and the illumination intensity, and between the fan power generation output power and the wind speed;
obtaining random sample data of photovoltaic power generation output power, fan power generation output power and load power at the moment by adopting a Latin hypercube sampling method, sequentially carrying out reactive power optimization simulation on each group of sample data, carrying out statistical analysis on simulation results, and taking the gear of each on-load tap-changing transformer
Figure 851168DEST_PATH_IMAGE001
Switchable capacitor bank gear
Figure 233739DEST_PATH_IMAGE002
And SVC compensation power
Figure 180966DEST_PATH_IMAGE003
As a reactive power control strategy derived from a stochastic optimization model at that moment
Figure 27700DEST_PATH_IMAGE004
Will system
Figure 972653DEST_PATH_IMAGE005
Respectively adopting a Latin hypercube sampling method to carry out random reactive power optimization on photovoltaic power generation output power, fan power generation output power and load power at each moment, storing a reactive power optimization control strategy obtained by solving at each moment into a historical strategy library to form a first reactive power optimization strategy
Figure 904837DEST_PATH_IMAGE006
Figure 124597DEST_PATH_IMAGE007
And representing a reactive power control strategy obtained by a random optimization model at the t-th moment.
Further, a reactive power optimization result based on the deterministic optimization model is generated by the following method:
system for connecting a plurality of mobile communication terminals
Figure 825837DEST_PATH_IMAGE005
Historical observation data of photovoltaic power generation output power, fan power generation output power and load power at each moment are respectively subjected to reactive power optimization by adopting a deterministic optimization model based on mixed integer second-order cone relaxation to obtain a corresponding reactive power optimization control strategy
Figure 472850DEST_PATH_IMAGE008
As a second reactive power optimization strategy.
Further, the method also comprises the following steps of:
acquiring prediction data of system operation;
obtaining a predictive reactive power optimization strategy based on a deterministic optimization model according to the predictive data;
and inputting the predicted reactive power optimization strategy into the target neural network model, and generating a modified reactive power optimization strategy after source load uncertainty is considered.
Further, the method comprises, in the online application phase:
step 1: forecasting data including photovoltaic power generation output power, fan power generation output power and load power of a system at a certain time in the future
Figure 892330DEST_PATH_IMAGE009
, wherein ,
Figure 915781DEST_PATH_IMAGE010
for the predicted value of the output power of the photovoltaic power generation,
Figure 471527DEST_PATH_IMAGE011
the power generation output power of the fan is predicted value,
Figure 555020DEST_PATH_IMAGE012
the predicted value of the load power is obtained;
step 2:will predict the data
Figure 196217DEST_PATH_IMAGE013
Inputting a reactive power optimization model based on mixed integer second order cone relaxation to obtain the prediction data
Figure 757780DEST_PATH_IMAGE013
Corresponding predictive reactive power optimization strategy
Figure 184344DEST_PATH_IMAGE014
And step 3: forecasting reactive power optimization strategy of deterministic optimization model in step 2
Figure 173160DEST_PATH_IMAGE014
Inputting the data into a target neural network model, and outputting a corrected reactive power optimization strategy under the condition of considering the uncertainty of a fan, a photovoltaic and a load
Figure 301653DEST_PATH_IMAGE015
The target neural network model is a model CNN-GRU formed by combining a convolutional neural network CNN and a gating circulation unit GRU;
and 4, step 4: sending the modified reactive power optimization strategy to the power grid
Figure 932486DEST_PATH_IMAGE016
And the method is used for simulating and deducing on line and calculating the power control parameters under the strategy.
Further, training the target neural network model includes:
the second reactive power optimization strategies output by the reactive power optimization model based on the mixed integer second-order cone relaxation are all represented by binary coding, including adopting the on-load tap-changing transformer gears
Figure 400507DEST_PATH_IMAGE017
Bit binary representation and switchable capacitor bank gear adoption
Figure 468214DEST_PATH_IMAGE018
Bit binary representation, SVC compensation power value adoption
Figure 84003DEST_PATH_IMAGE019
Bit binary representation;
constructing a second reactive power optimization strategy in a binary coding form into a tensor form, and taking the channel number as 1, namely, inputting the data sample dimension of the CNN-GRU model as;
Figure 963930DEST_PATH_IMAGE020
(1)
wherein ,
Figure 552038DEST_PATH_IMAGE021
Figure 944973DEST_PATH_IMAGE022
Figure 48058DEST_PATH_IMAGE023
the numbers of the on-load tap changers, the switchable capacitor banks and the SVCs participating in reactive power control are respectively;
the input data is firstly subjected to multi-layer CNN extraction characteristics, then is subjected to flattening treatment to be used as input of multi-layer GRUs, and finally is output through a full connection layer, so that the relation between a second reactive power optimization strategy and a first reactive power optimization strategy is mapped and used for correcting a prediction reactive power control strategy.
Further, the CNN-GRU model is constructed in the following manner:
the CNN adopts a series structure of 3 groups of rolling layers and pooling layers;
after the input data is subjected to the operations of the convolutional layer and the pooling layer, the input flat layer is tiled into a one-dimensional vector, the extracted data abstract features are converted into global feature vectors, and the global feature vectors are used as GRU input;
GRU adopts 3 layer structure, and single GRU structure comprises update gate and reset gate, and its formula is:
Figure 20693DEST_PATH_IMAGE024
(2)
Figure 197728DEST_PATH_IMAGE025
(3)
Figure 27144DEST_PATH_IMAGE026
(4)
Figure 555208DEST_PATH_IMAGE027
(5)
in the formula ,
Figure 65955DEST_PATH_IMAGE028
indicating that the current time step updated the door state,
Figure 159813DEST_PATH_IMAGE029
indicating the current time step reset gate state,
Figure 160130DEST_PATH_IMAGE030
indicates the state of the GRU at the current time step,
Figure 909911DEST_PATH_IMAGE031
indicating the state of the GRU at the previous time step,
Figure 286666DEST_PATH_IMAGE032
candidate states representing the current time step of the GRU for computation
Figure 438293DEST_PATH_IMAGE030
Figure 609511DEST_PATH_IMAGE033
An input representing the current time step of the GRU,
Figure 846588DEST_PATH_IMAGE034
to input the weights of the layers to the hidden layer,
Figure 699138DEST_PATH_IMAGE035
in order to imply the self-weight of the layer,
Figure 33167DEST_PATH_IMAGE036
for input into the refresh door
Figure 109708DEST_PATH_IMAGE037
The weight of (a) is calculated,
Figure 834081DEST_PATH_IMAGE038
hiding the layer to the refresh gate for the previous time step
Figure 287059DEST_PATH_IMAGE039
The weight of (a) is calculated,
Figure 413278DEST_PATH_IMAGE040
to input to a reset gate
Figure 926299DEST_PATH_IMAGE041
The weight of (a) is calculated,
Figure 137969DEST_PATH_IMAGE042
hiding a layer to reset gate for a previous time step
Figure 394638DEST_PATH_IMAGE041
Weight and sign of
Figure 640943DEST_PATH_IMAGE043
Representing a Hadamard product;
and adding a discarding layer behind each GRU layer to prevent over-fitting of the network, and finally outputting a corrected reactive power optimization strategy considering the uncertainty of the fan, the photovoltaic and the load through a full connection layer.
Further, the CNN-GRU training adopts an Adam algorithm, and the weight updating formula is as follows:
Figure 262548DEST_PATH_IMAGE044
(6)
Figure 758251DEST_PATH_IMAGE045
(7)
Figure 21873DEST_PATH_IMAGE046
(8)
in the formula ,
Figure 122685DEST_PATH_IMAGE047
and
Figure 915191DEST_PATH_IMAGE048
for the network weight parameter to be updated in the adjacent time step,
Figure 163770DEST_PATH_IMAGE049
in order to smooth out the parameters of the image,
Figure 699925DEST_PATH_IMAGE050
in order to obtain the learning rate of the learning,
Figure 451980DEST_PATH_IMAGE051
as a function of loss
Figure 477705DEST_PATH_IMAGE052
To pair
Figure 885684DEST_PATH_IMAGE047
The partial derivative of (a) of (b),
Figure 22267DEST_PATH_IMAGE053
and
Figure 97670DEST_PATH_IMAGE054
the exponential decay rates of the first order moment estimate and the second order moment estimate respectively,
Figure 497559DEST_PATH_IMAGE055
and
Figure 189571DEST_PATH_IMAGE056
are respectively as
Figure 333108DEST_PATH_IMAGE053
And
Figure 794176DEST_PATH_IMAGE054
to the power of t of (a),
Figure 364966DEST_PATH_IMAGE057
Figure 544274DEST_PATH_IMAGE058
for gradients at t time steps respectively
Figure 491502DEST_PATH_IMAGE051
The first order moment estimated value and the second order moment estimated value of the first order moment, similarly,
Figure 72656DEST_PATH_IMAGE059
Figure 814347DEST_PATH_IMAGE060
respectively corresponding values at t-1 time step,
Figure 684214DEST_PATH_IMAGE061
Figure 231870DEST_PATH_IMAGE062
taking into account the corrected deviations for the gradient at t time steps
Figure 870793DEST_PATH_IMAGE051
A first moment estimate and a second moment estimate of;
the root mean square error function is a loss function of model training, and the formula is as follows:
Figure 603560DEST_PATH_IMAGE063
(9)
in the formula ,
Figure 960723DEST_PATH_IMAGE064
for the total number of reactive power control strategies at each time t stored in the strategy library,
Figure 46491DEST_PATH_IMAGE065
as in the policy repository
Figure 539921DEST_PATH_IMAGE066
A reactive power control strategy obtained by a random optimization model at a moment,
Figure 420152DEST_PATH_IMAGE067
and outputting the corrected reactive power control strategy for the CNN-GRU model.
The invention also provides a reactive voltage control system based on digital-mechanism fusion drive modeling, which comprises an offline training module, wherein the offline training module is used for:
and taking a reactive power optimization result based on the deterministic optimization model as an input characteristic, taking a reactive power optimization result based on the random optimization model as an output label, and training the model containing the target neural network.
Further, the system also includes an online application module for:
acquiring prediction data of system operation;
obtaining a prediction reactive power optimization strategy based on a deterministic optimization model according to prediction data;
and inputting the predicted reactive power optimization strategy into the target neural network model, and generating a modified reactive power optimization strategy after source load uncertainty is considered.
The invention also provides a reactive voltage control system based on digital-mechanism fusion driving modeling, which comprises at least one processor and at least one memory;
the memory stores a computer program for executing the reactive voltage control method based on the digital-mechanism fusion driving modeling, and the processor calls the computer program in the memory to execute the reactive voltage control method based on the digital-mechanism fusion driving modeling.
According to the reactive voltage control method and system based on the digital-mechanism fusion drive modeling, the potential law among data is fully extracted by using an artificial intelligence method represented by deep learning, a model of a complementary fusion mechanism of a mechanism model and a digital model is established by adopting a guide mode, the causal knowledge of the mechanism model and the strong fitting capacity of the digital model are clear, the accurate and rapid online control of the system voltage is realized, the voltage fluctuation problem caused by the randomness of new energy and load is effectively relieved to a certain extent, and the operation safety and the power supply reliability of a power grid are ensured.
Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and claims hereof as well as the appended drawings.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
FIG. 1 is a flow chart of a reactive voltage control method based on digital-mechanical fusion driving modeling according to an embodiment of the invention;
FIG. 2 shows a schematic diagram of a CNN-GRU model construction and training process according to an embodiment of the invention;
fig. 3 shows a schematic structural diagram of an on-load tap changer branch according to an embodiment of the invention;
FIG. 4 is a schematic diagram of a reactive voltage control system based on digital-mechanical fusion driving modeling according to an embodiment of the present invention;
fig. 5 shows a schematic structural diagram of another reactive voltage control system based on digital-mechanical fusion driving modeling according to an embodiment of the invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, 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 some, but not all, embodiments of the present invention. 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.
The embodiment of the invention provides a reactive voltage control method based on digital-mechanism fusion drive modeling, which can realize accurate and efficient reactive voltage control of an electric power system comprising distributed power generation equipment. Without loss of generality, the distributed power generation equipment of the embodiment of the invention mainly considers photovoltaic power generation equipment and fan power generation equipment. In other embodiments, other new energy power generation devices may be included.
As shown in fig. 1, the control method of the embodiment of the present invention includes an offline training phase and an online application phase.
In an off-line training stage, a mechanism model and a digital model are constructed by adopting a guide mode, on the basis of considering the wind turbine power generation, the photovoltaic power generation and the load uncertainty, a reactive power optimization result based on a deterministic optimization model is used as an input characteristic, a reactive power optimization result based on a stochastic optimization model is used as an output label, and a model containing a target neural network is trained.
The generated target network model is used for correcting the control strategy in the online application stage.
The deterministic reactive power optimization model is used as a mechanism driving part, and a deterministic optimization model based on mixed integer second-order cone relaxation is adopted. The random reactive power optimization model is used as a data driving part and adopts a reactive power optimization model based on a Latin hypercube sampling method. The target neural network adopts a convolutional neural network containing a cyclic structure, and adopts a CNN-GRU model in which a CNN (convolutional neural network) and a GRU (Gated Recurrent Unit) are combined with each other without loss of generality.
The training process of the off-line training phase is explained in detail below. The off-line training phase comprises:
step 1: according to a given example system, the following system parameters are input: the system comprises line parameters, a network topology structure, system node voltage and current safety limit values, an on-load tap changer access position and a maximum tap gear, a switchable capacitor bank installation position and a maximum switching gear, an SVC (static var compensator) installation position and a compensation power maximum limit value, and a photovoltaic power generation device, a fan power generation device and a load access position.
And 2, step: according to historical observation data, beta distribution related parameters of the illumination intensity at a certain time are estimated
Figure 999032DEST_PATH_IMAGE068
And
Figure 858797DEST_PATH_IMAGE069
weibull distribution of wind speed
Figure 472312DEST_PATH_IMAGE070
And
Figure 726707DEST_PATH_IMAGE071
and load power normal distribution related parameters
Figure 589621DEST_PATH_IMAGE072
Figure 17191DEST_PATH_IMAGE073
Figure 485213DEST_PATH_IMAGE074
Figure 972826DEST_PATH_IMAGE075
, wherein ,
Figure 260719DEST_PATH_IMAGE076
Figure 491980DEST_PATH_IMAGE077
respectively obtain the active power of the load at the momentHistorical observation values of power and reactive power; according to the approximate relational expression between the photovoltaic power generation output power and the illumination intensity as well as between the fan power generation output power and the wind speed, the probability distribution and the related parameters of the corresponding photovoltaic power generation output power and the fan power generation output power at the moment can be obtained;
and step 3: in order to fully consider the uncertainty of fan power generation, photovoltaic power generation and load, according to the related probability distribution and parameters obtained in the step 2, a random optimization model based on a Latin hypercube sampling method is adopted to carry out reactive power optimization simulation, all simulated results are subjected to statistical analysis, and the gear positions of all on-load tap-changing transformers are selected
Figure 814508DEST_PATH_IMAGE078
Switchable capacitor bank gear
Figure 473022DEST_PATH_IMAGE079
And SVC compensation power
Figure 513791DEST_PATH_IMAGE080
As a reactive power control strategy derived from the stochastic optimization model at that time
Figure 486426DEST_PATH_IMAGE004
And 4, step 4: according to step 3 pair system
Figure 929040DEST_PATH_IMAGE005
Respectively adopting a Latin hypercube sampling method to carry out random reactive power optimization on photovoltaic power generation output power, fan power generation output power and load power at each moment, storing a reactive power optimization control strategy obtained by solving at each moment into a historical strategy library to form a first reactive power optimization strategy
Figure 758455DEST_PATH_IMAGE081
Figure 817678DEST_PATH_IMAGE004
Indicates none by random optimization at the t-th timeA power control strategy;
and 5: in the power system
Figure 328425DEST_PATH_IMAGE005
Historical observation data of photovoltaic power generation output power, fan power generation output power and load data at each moment are respectively subjected to reactive power optimization by adopting a deterministic optimization model based on mixed integer second-order cone relaxation to obtain corresponding reactive power optimization control strategies
Figure 687862DEST_PATH_IMAGE082
As a second reactive power optimization strategy;
step 6: establishing a CNN-GRU model structure of a target neural network;
and 7: the training modes for setting the CNN and the GRU adopt an Adam optimization algorithm, the loss function is a root mean square error function (RMSE), the learning rate is 0.001, and the input characteristic is a second reactive power optimization strategy obtained by a deterministic optimization model in the step 5
Figure 625862DEST_PATH_IMAGE083
The output label is the first reactive optimization strategy at the corresponding moment in the historical strategy library
Figure 437961DEST_PATH_IMAGE084
Training the CNN-GRU model parameters;
(2) The online application phase comprises:
acquiring prediction data of system operation;
obtaining a predictive reactive power optimization strategy based on a deterministic optimization model according to the predictive data;
and inputting the predicted reactive power optimization strategy into the target neural network model, and generating a corrected reactive power optimization strategy after source load uncertainty is considered.
Specifically, the method comprises the following steps:
step 1: forecasting data including photovoltaic power generation output power, fan power generation output power and load power of a system at a certain time in the future
Figure 283557DEST_PATH_IMAGE085
, wherein ,
Figure 700763DEST_PATH_IMAGE086
is a predicted value of the output power of the photovoltaic power generation,
Figure 809664DEST_PATH_IMAGE087
the power generation output power of the fan is predicted value,
Figure 109059DEST_PATH_IMAGE088
the predicted value of the load power is obtained;
step 2: will predict the data
Figure 961608DEST_PATH_IMAGE089
Inputting a reactive power optimization model based on mixed integer second-order cone relaxation, (determinacy optimization model) to obtain the prediction data
Figure 295638DEST_PATH_IMAGE089
Corresponding predictive reactive power optimization strategy
Figure 372178DEST_PATH_IMAGE090
And step 3: forecasting reactive power optimization strategy of deterministic optimization model in step 2
Figure 830972DEST_PATH_IMAGE091
Inputting the CNN-GRU model trained in the step 7 of the off-line training stage, and outputting a corrected reactive power optimization strategy under the condition of considering the uncertainty of the fan, the photovoltaic and the load
Figure 549530DEST_PATH_IMAGE090
And 4, step 4: sending the corrected reactive power optimization strategy to the power grid
Figure 675749DEST_PATH_IMAGE092
And performing on-line simulation deduction to calculate power control parameters including node voltage under the strategy
Figure 188769DEST_PATH_IMAGE093
Branch active power
Figure 134860DEST_PATH_IMAGE094
Sum branch reactive power
Figure 594791DEST_PATH_IMAGE095
And fed back to the scheduling personnel for assisting decision making. The power distribution network adopts distributed computation, and online simulation deduction can be completed in a local server.
The construction and training process of the CNN-GRU model is shown in FIG. 2.
(1) Input data construction
1) The second reactive power optimization strategies output by the reactive power optimization model based on the mixed integer second-order cone relaxation are all represented by binary coding, namely the gears of the on-load tap-changing transformer adopt
Figure 778779DEST_PATH_IMAGE017
Bit binary representation and switchable capacitor bank gear adoption
Figure 462701DEST_PATH_IMAGE018
Bit binary representation, SVC compensation power value adoption
Figure 630508DEST_PATH_IMAGE019
The representation of the bit binary is represented by a bit binary,
Figure 425289DEST_PATH_IMAGE017
Figure 440346DEST_PATH_IMAGE018
Figure 498432DEST_PATH_IMAGE019
the values of the three-phase alternating current transformer are determined according to the maximum tap position of the on-load tap changing transformer, the maximum switching position of the switchable capacitor bank and the maximum SVC compensation power which are set in the practical calculation example;
2) In order to adapt to the input requirement of the CNN, a second reactive power optimization strategy in a binary coding form is constructed into a tensor form, the number of channels is taken as 1, and the dimensionality of a data sample input into the CNN-GRU model is taken as;
Figure 215852DEST_PATH_IMAGE096
(1)
wherein ,
Figure 17586DEST_PATH_IMAGE097
Figure 35221DEST_PATH_IMAGE098
Figure 795366DEST_PATH_IMAGE099
the numbers of the on-load tap changing transformers, the switchable capacitor banks and the SVCs participating in the reactive power control are respectively,
Figure 203345DEST_PATH_IMAGE017
Figure 605507DEST_PATH_IMAGE018
Figure 415332DEST_PATH_IMAGE019
the meanings are as described above;
(2) CNN-GRU model construction
The method comprises the steps of firstly extracting features of input data through multiple layers of CNNs, then performing flattening processing to serve as input of multiple layers of GRUs, and finally obtaining output through a full connection layer, so that the relation between a second reactive power strategy obtained by a deterministic optimization model and a first reactive power strategy obtained by a random optimization model is mapped, and further the reactive power control strategy is corrected under the condition that uncertainty of a fan, photovoltaic and load is considered. The specific construction method of the CNN-GRU is as follows:
1) The CNN adopts a series structure of 3 groups of convolutional layers and pooling layers. Wherein, the number of convolution kernels in 3 groups of convolution layers is 16, 48 and 256 in sequence, and the sizes of the convolution kernels are all 3
Figure 80799DEST_PATH_IMAGE100
1,3 groups of the pooling layers are all subjected to average pooling, and the size of each pool is 2
Figure 241653DEST_PATH_IMAGE100
2;
2) After the operation of the convolution layer and the pooling layer, inputting a flat layer to be tiled into a one-dimensional vector, converting the extracted data abstract features into a global feature vector and inputting the global feature vector as GRU;
3) The GRU adopts a 3-layer structure, the number of neurons of an implicit layer in each layer of GRU is 256, 128 and 64 in sequence, and a single GRU structure consists of an update gate and a reset gate, and the formula is as follows:
Figure 385190DEST_PATH_IMAGE101
(2)
Figure 846258DEST_PATH_IMAGE102
(3)
Figure 213786DEST_PATH_IMAGE103
(4)
Figure 596356DEST_PATH_IMAGE104
(5)
in the formula ,
Figure 340322DEST_PATH_IMAGE105
indicating that the current time step updated the door state,
Figure 124738DEST_PATH_IMAGE106
indicating that the current time step resets the gate state,
Figure 275883DEST_PATH_IMAGE107
indicating the state of the GRU at the current time step,
Figure 145750DEST_PATH_IMAGE108
to representThe state of the GRU at the previous time step,
Figure 427827DEST_PATH_IMAGE109
candidate states representing the current time step of the GRU for computation
Figure 863488DEST_PATH_IMAGE107
Figure 572818DEST_PATH_IMAGE110
An input representing the current time step of the GRU,
Figure 664402DEST_PATH_IMAGE084
for the weights of the input layer to the hidden layer,
Figure 953432DEST_PATH_IMAGE035
in order to imply the self-weight of the layer,
Figure 243599DEST_PATH_IMAGE111
for input to the refresh door
Figure 389409DEST_PATH_IMAGE112
The weight of (a) is calculated,
Figure 968289DEST_PATH_IMAGE113
hiding a layer to the refresh gate for a previous time step
Figure 670797DEST_PATH_IMAGE112
The weight of (a) is calculated,
Figure 18733DEST_PATH_IMAGE114
to be input to a reset gate
Figure 335445DEST_PATH_IMAGE041
The weight of (a) is calculated,
Figure 401621DEST_PATH_IMAGE115
hiding a layer to reset gate for a previous time step
Figure 829191DEST_PATH_IMAGE041
Weight and sign of
Figure 297213DEST_PATH_IMAGE043
Representing a Hadamard product;
meanwhile, a discarding layer is added behind each GRU layer to prevent over-fitting of the network, the discarding rate is set to be 0.5, and finally a corrected reactive power optimization strategy considering the uncertainty of the fan, the photovoltaic and the load is obtained through the output of the full connection layer.
(3) CNN-GRU model training setup
The embodiment of the invention adopts an Adam algorithm to train the CNN layer and GRU layer models, and the weight updating formula is as follows:
Figure 355184DEST_PATH_IMAGE116
(6)
Figure 908656DEST_PATH_IMAGE117
(7)
Figure 139918DEST_PATH_IMAGE046
(8)
in the formula ,
Figure 259183DEST_PATH_IMAGE047
and
Figure 855381DEST_PATH_IMAGE048
for the network weight parameters to be updated in the adjacent time steps (i.e. t time step and t +1 time step),
Figure 161728DEST_PATH_IMAGE049
in order to smooth out the parameters of the image,
Figure 868784DEST_PATH_IMAGE050
in order to obtain a learning rate,
Figure 373715DEST_PATH_IMAGE051
as a function of loss
Figure 140814DEST_PATH_IMAGE052
For is to
Figure 465616DEST_PATH_IMAGE047
The partial derivative of (a) is,
Figure 976363DEST_PATH_IMAGE053
and
Figure 70221DEST_PATH_IMAGE054
the exponential decay rates of the first order moment estimate and the second order moment estimate respectively,
Figure 804959DEST_PATH_IMAGE118
and
Figure 820319DEST_PATH_IMAGE119
are respectively as
Figure 931495DEST_PATH_IMAGE053
And
Figure 83121DEST_PATH_IMAGE054
to the power of t of (a),
Figure 988761DEST_PATH_IMAGE057
Figure 288155DEST_PATH_IMAGE058
for gradients at t time steps respectively
Figure 140704DEST_PATH_IMAGE051
The first order moment estimated value and the second order moment estimated value of the first order moment, similarly,
Figure 943575DEST_PATH_IMAGE059
Figure 285695DEST_PATH_IMAGE060
respectively corresponding values at t-1 time step,
Figure 10068DEST_PATH_IMAGE061
Figure 931888DEST_PATH_IMAGE062
taking into account the corrected deviations for the gradient at t time steps
Figure 589266DEST_PATH_IMAGE051
First moment estimate and second moment estimate.
The root mean square error function (RMSE) is a loss function for model training, and its formula is:
Figure 102286DEST_PATH_IMAGE120
(9)
in the formula ,
Figure 110694DEST_PATH_IMAGE064
for the total number of reactive control strategies at each moment stored in the strategy library,
Figure 305046DEST_PATH_IMAGE121
as in the policy repository
Figure 348088DEST_PATH_IMAGE066
A reactive power control strategy obtained by a random optimization model at any moment, namely a reactive power optimization result after considering fan, photovoltaic and load fluctuation,
Figure 969694DEST_PATH_IMAGE122
and outputting the modified reactive power control strategy for the CNN-GRU model.
The deterministic optimization model and the stochastic optimization model are explained in detail below.
The reactive power optimization model based on the mixed integer second order cone relaxation involved in the step 5 of the off-line training stage is as follows:
1.1 Determining an objective function
The reactive power optimization is mainly realized by adjusting the gear of the on-load tap changer (namely the tap gear of the on-load tap changer), the gear of the switchable capacitor bank, the compensation power of the static reactive power compensator and the like, on the premise of meeting the requirements of power flow constraint and power quality, the minimum active loss and the minimum voltage fluctuation of a network are realized, and the objective function is as follows:
Figure 730976DEST_PATH_IMAGE123
(10)
in the formula ,
Figure 463440DEST_PATH_IMAGE124
is a branch
Figure 360989DEST_PATH_IMAGE125
The active power is lost,
Figure 215812DEST_PATH_IMAGE126
is a node
Figure 136495DEST_PATH_IMAGE127
The actual voltage is applied to the voltage-sensitive element,
Figure 469387DEST_PATH_IMAGE128
for the reference node voltage, usually the root node is selected as the reference node;
Figure 690284DEST_PATH_IMAGE068
the weighting factor of the voltage deviation is generally selected according to the magnitude relationship between the network loss and the voltage deviation term, and preferably, the two are made to have the same order of magnitude,
Figure 716009DEST_PATH_IMAGE129
is the set of all nodes.
1.2 Constraint conditions
The constraint conditions comprise power balance constraint, branch load flow equation constraint, on-load tap changing transformer tap constraint, node injection power constraint, distributed power supply operation constraint, static Var Compensator (SVC) compensation power constraint, switchable capacitor bank operation constraint, safety constraint and the like. Respectively as follows:
power balance constraint
Figure 123988DEST_PATH_IMAGE130
(11)
Figure 526150DEST_PATH_IMAGE131
(12)
Figure 132712DEST_PATH_IMAGE132
(13)
In the formula (II)
Figure 267021DEST_PATH_IMAGE133
Is shown to all in
Figure 224613DEST_PATH_IMAGE134
Aggregation of head-end nodes for branches to end nodes, aggregation
Figure 899308DEST_PATH_IMAGE135
Is shown to all in
Figure 563639DEST_PATH_IMAGE134
The set of end nodes of the branch that is the head-end node,
Figure 400008DEST_PATH_IMAGE136
Figure 844895DEST_PATH_IMAGE137
are respectively a branch
Figure 260964DEST_PATH_IMAGE125
The active power and the reactive power of the head end,
Figure 842118DEST_PATH_IMAGE138
Figure 583809DEST_PATH_IMAGE139
are respectively a branch
Figure 250414DEST_PATH_IMAGE140
The active power and the reactive power of the head end,
Figure 266912DEST_PATH_IMAGE141
Figure 968152DEST_PATH_IMAGE142
are respectively a branch
Figure 880744DEST_PATH_IMAGE125
The resistance and the reactance of (a) is,
Figure 214469DEST_PATH_IMAGE143
is a branch
Figure 300237DEST_PATH_IMAGE144
The square of the magnitude of the current is,
Figure 590404DEST_PATH_IMAGE145
is a node
Figure 470636DEST_PATH_IMAGE127
Is the square of the voltage magnitude of (a).
Branch load flow equation constraints
A load flow equation without on-load tap changer branches:
Figure 49516DEST_PATH_IMAGE146
(14)
in the formula ,
Figure 673395DEST_PATH_IMAGE147
is a node
Figure 552489DEST_PATH_IMAGE148
The square of the magnitude of the voltage of (c),
Figure 806884DEST_PATH_IMAGE149
is a branch set which does not contain an on-load tap-changing transformer.
And (3) carrying out load flow equation constraint on the on-load tap changer branch:
at the nodes at two ends of the branch containing the on-load tap-changing transformer
Figure 669798DEST_PATH_IMAGE150
Figure 97368DEST_PATH_IMAGE148
Introducing virtual nodes between
Figure 299811DEST_PATH_IMAGE066
As shown in fig. 3. The virtual node t is an access point of the on-load tap changer in the branch close to the node i, wherein the current flow direction of the branch is from the node i to the node j.
Figure 521845DEST_PATH_IMAGE151
(15)
Figure 137634DEST_PATH_IMAGE152
(16)
in the formula ,
Figure 306578DEST_PATH_IMAGE153
for a set of branches containing an on-load tap changer,
Figure 894685DEST_PATH_IMAGE154
is a transformation ratio of an on-load tap changer,
Figure 287620DEST_PATH_IMAGE155
as virtual nodes
Figure 125126DEST_PATH_IMAGE066
Is the square of the voltage magnitude of (a).
On-load tap changer tap restraint
Figure 832182DEST_PATH_IMAGE156
(17)
Figure 337113DEST_PATH_IMAGE157
(18)
in the formula ,
Figure 635370DEST_PATH_IMAGE158
and
Figure 163435DEST_PATH_IMAGE159
respectively the lower limit and the upper limit of the transformation ratio of the on-load tap changer;
Figure 736499DEST_PATH_IMAGE160
the maximum gear of the on-load tap changing transformer tap joint;
Figure 879291DEST_PATH_IMAGE161
the transformation ratio of each gear of the on-load tap changing transformer tap;
Figure 817292DEST_PATH_IMAGE162
the tap is an actual gear of an on-load tap changer and belongs to an integer variable.
Because the load current equation constraint of the on-load tap changing transformer branch circuit and the on-load tap changing transformer tap constraint have non-convex constraint, the load current equation constraint and the on-load tap changing transformer tap constraint can be converted into convex constraint through accurate linear modeling of the on-load tap changing transformer tap. Considering that the tap positions of the on-load tap-changing transformer belong to integer variables, the tap positions can be represented by a binary method, as shown in formulas (19) and (20).
Figure 832652DEST_PATH_IMAGE163
(19)
Figure 943828DEST_PATH_IMAGE164
(20)
in the formula ,
Figure 157771DEST_PATH_IMAGE165
is a 0-1 integer variable;
Figure 266673DEST_PATH_IMAGE166
the maximum gear of the on-load tap changing transformer tap joint;
Figure 566067DEST_PATH_IMAGE167
is constant and its value is determined by the number of binary digits required to represent the maximum tap position of the on-load tap changer.
Multiplying the equal sign of the formula (19) by
Figure 418617DEST_PATH_IMAGE168
And define new variables
Figure 487067DEST_PATH_IMAGE169
Figure 766869DEST_PATH_IMAGE170
Figure 553560DEST_PATH_IMAGE171
(21)
Figure 944221DEST_PATH_IMAGE172
(22)
Further, formula (23) can be obtained:
Figure 132757DEST_PATH_IMAGE173
(23)
meanwhile, the formula (24) can be obtained from the formula (16) and the formula (21)
Figure 583461DEST_PATH_IMAGE174
(24)
Further, the formula (22) can be expressed by the formula (25) and the formula (26) by the large M method conversion:
Figure 591868DEST_PATH_IMAGE175
(25)
Figure 848537DEST_PATH_IMAGE176
(26)
in the large M method, M is an arbitrarily large (but not infinite) positive real constant that is manually assigned, and is typically determined according to the upper and lower bounds of a constraint variable.
Multiplying the two sides of the equation (23) by
Figure 829263DEST_PATH_IMAGE177
And defining new variables
Figure 513185DEST_PATH_IMAGE178
Figure 212151DEST_PATH_IMAGE179
(27)
Combining formula (22), formula (24) and formula (27) to obtain formula (28)
Figure 210194DEST_PATH_IMAGE180
(28)
The equation (27) is subjected to large-M conversion in the same manner, and the equations (29) to (30) are obtained.
Figure 107742DEST_PATH_IMAGE181
(29)
Figure 923687DEST_PATH_IMAGE182
(30)
Through accurate linear modeling of the on-load tap changing transformer, the load flow equation constraint of the on-load tap changing transformer branch and the non-convex constraint in the on-load tap changing transformer tap constraint can be converted into the convex constraint.
The node injection power constraints are:
Figure 172265DEST_PATH_IMAGE183
(31)
Figure 708420DEST_PATH_IMAGE184
(32)
in the formula ,
Figure 460475DEST_PATH_IMAGE185
and
Figure 285868DEST_PATH_IMAGE186
are respectively a node
Figure 759093DEST_PATH_IMAGE187
The active and reactive power of the connected distributed power supplies,
Figure 98938DEST_PATH_IMAGE188
and
Figure 705500DEST_PATH_IMAGE189
is a node
Figure 105389DEST_PATH_IMAGE187
The compensation reactive power of the connected discrete type and continuous type adjustable reactive power compensation devices;
Figure 797401DEST_PATH_IMAGE190
and
Figure 737675DEST_PATH_IMAGE191
is a node
Figure 402006DEST_PATH_IMAGE187
The active power and the reactive power of the connected loads,
Figure 769534DEST_PATH_IMAGE192
and
Figure 948842DEST_PATH_IMAGE193
are respectively nodes
Figure 896070DEST_PATH_IMAGE187
Active injected power and reactive injected power.
Distributed power supply operation constraints
Figure 680486DEST_PATH_IMAGE194
(33)
Figure 953335DEST_PATH_IMAGE195
(34)
in the formula ,
Figure 885519DEST_PATH_IMAGE196
and
Figure 902017DEST_PATH_IMAGE197
are respectively nodes
Figure 806519DEST_PATH_IMAGE150
The upper limit of active power output and the upper limit of reactive power output of the connected distributed power supply;
Figure 250270DEST_PATH_IMAGE198
is a collection of nodes connected to a distributed DG.
Switchable capacitor bank operation constraints
Figure 607433DEST_PATH_IMAGE199
(35)
Figure 693201DEST_PATH_IMAGE200
(36)
in the formula ,
Figure 186630DEST_PATH_IMAGE201
is a node
Figure 332440DEST_PATH_IMAGE202
The reactive power value corresponding to each grade of the connected switchable capacitor bank;
Figure 708058DEST_PATH_IMAGE203
the maximum gear number of the switchable capacitor bank;
Figure 269621DEST_PATH_IMAGE204
the actual gear of the switchable capacitor bank belongs to an integer variable;
Figure 945453DEST_PATH_IMAGE205
is a collection of nodes connected to switchable capacitor banks.
Safety restraint
1) The node voltage constraint is:
Figure 910831DEST_PATH_IMAGE206
(37)
in the formula ,
Figure 39324DEST_PATH_IMAGE207
and
Figure 201315DEST_PATH_IMAGE208
are respectively a node
Figure 669336DEST_PATH_IMAGE202
The voltage magnitude is squared at the lower and upper limits,
Figure 156950DEST_PATH_IMAGE209
is the set of all nodes.
2) The branch current constraints are:
Figure 507160DEST_PATH_IMAGE210
(38)
in the formula ,
Figure 410525DEST_PATH_IMAGE211
and
Figure 795370DEST_PATH_IMAGE212
are respectively a branch
Figure 391567DEST_PATH_IMAGE213
The square of the lower limit and the square of the upper limit of the current value,
Figure 494652DEST_PATH_IMAGE214
is the set of all branches.
Cone constraint
Figure 201708DEST_PATH_IMAGE215
(39)
The random reactive power optimization model based on the Latin hypercube sampling method is as follows:
(1) Photovoltaic power generation output power uncertainty model
The Beta distribution curve is adopted to fit a probability model of the illumination intensity distribution, and the probability density function can be expressed as:
Figure 175481DEST_PATH_IMAGE216
(40)
in the formula ,
Figure 4896DEST_PATH_IMAGE217
the ratio of the actual illumination intensity to the maximum illumination intensity in the time period is obtained;
Figure 532961DEST_PATH_IMAGE218
and with
Figure 840445DEST_PATH_IMAGE219
Two parameters for Beta distribution;
Figure 137566DEST_PATH_IMAGE220
is a Gamma function.
The total output power of the photovoltaic array is:
Figure 137883DEST_PATH_IMAGE221
(41)
Figure 887664DEST_PATH_IMAGE222
(42)
Figure 998839DEST_PATH_IMAGE223
(43)
in the formula ,
Figure 212783DEST_PATH_IMAGE224
to account for the number of photovoltaic cell assemblies that make up the photovoltaic array,
Figure 321684DEST_PATH_IMAGE225
and
Figure 621079DEST_PATH_IMAGE226
respectively the area and the photoelectric conversion efficiency of a single photovoltaic cell assembly,
Figure 208049DEST_PATH_IMAGE227
the total area of the photovoltaic array is,
Figure 542078DEST_PATH_IMAGE228
for the overall photoelectric conversion efficiency of the photovoltaic array,
Figure 618619DEST_PATH_IMAGE229
and the actual output power of the photovoltaic power generation in the time period.
According to the probability density function of the illumination intensity, the actual output power of the photovoltaic power generation in the period of time can be obtained
Figure 342992DEST_PATH_IMAGE230
The probability density function is:
Figure 795970DEST_PATH_IMAGE231
(44)
in the formula ,
Figure 718927DEST_PATH_IMAGE232
is the same asAnd photovoltaic power generation maximum output power in a time period.
(2) Uncertainty model of fan power generation output power
Fitting actual wind speed with Weibull (Weibull) distribution
Figure 169631DEST_PATH_IMAGE233
The probability model of the distribution, its probability density function, can be expressed as:
Figure 443618DEST_PATH_IMAGE234
(45)
in the formula ,
Figure 637970DEST_PATH_IMAGE235
and with
Figure 681012DEST_PATH_IMAGE236
Respectively the shape parameter and the scale parameter of the weibull distribution,
Figure 302617DEST_PATH_IMAGE237
representing the actual wind speed at the hub of the wind turbine.
The relationship between the output power and the wind speed of the wind generating set is as follows:
Figure 532742DEST_PATH_IMAGE238
(46)
Figure 593102DEST_PATH_IMAGE239
(47)
Figure 428333DEST_PATH_IMAGE240
(48)
in the formula ,
Figure 283157DEST_PATH_IMAGE241
represents the actual output power of the wind power generation,
Figure 469419DEST_PATH_IMAGE242
represents the rated output power of the wind power generation,
Figure 802311DEST_PATH_IMAGE243
Figure 554367DEST_PATH_IMAGE244
Figure 721037DEST_PATH_IMAGE245
the rated wind speed, the cut-in wind speed and the cut-out wind speed of the wind turbine generator system are respectively represented.
Actual wind speed at the hub of the fan
Figure 394595DEST_PATH_IMAGE246
Is substantially maintained at
Figure 750752DEST_PATH_IMAGE247
And with
Figure 311309DEST_PATH_IMAGE248
Thus the actual output power of wind power generation
Figure 773514DEST_PATH_IMAGE249
The probability density function is:
Figure 692226DEST_PATH_IMAGE250
(49)
(3) Load power uncertainty optimization model
Load active power
Figure 835763DEST_PATH_IMAGE251
And reactive power
Figure 296831DEST_PATH_IMAGE252
The probability model is fitted by a normal distribution curve, and the probability density function can be expressed as:
Figure 664358DEST_PATH_IMAGE253
(50)
Figure 46929DEST_PATH_IMAGE254
(51)
in the formula ,
Figure 790895DEST_PATH_IMAGE255
and
Figure 309732DEST_PATH_IMAGE256
respectively the mean value and the standard deviation of the active power of the load;
Figure 113740DEST_PATH_IMAGE257
and
Figure 983607DEST_PATH_IMAGE258
mean and standard deviation of the reactive power of the load, respectively.
(4) Random reactive power optimization model based on Latin hypercube sampling method
Step 1: according to historical observation data, beta distribution related parameters of the illumination intensity at a certain time are estimated
Figure 265683DEST_PATH_IMAGE068
And
Figure 904606DEST_PATH_IMAGE069
weibull distribution of wind speed
Figure 348357DEST_PATH_IMAGE070
And
Figure 767837DEST_PATH_IMAGE071
and load power normal distribution related parameters
Figure 791288DEST_PATH_IMAGE259
Figure 347034DEST_PATH_IMAGE260
Figure 164949DEST_PATH_IMAGE261
Figure 806145DEST_PATH_IMAGE262
, wherein ,
Figure 633287DEST_PATH_IMAGE263
Figure 43540DEST_PATH_IMAGE264
respectively taking historical observation values of load active power and reactive power at the moment;
step 2: according to the approximate relational expression between the photovoltaic power generation output power and the illumination intensity as well as between the fan power generation output power and the wind speed, the probability distribution and the related parameters of the corresponding photovoltaic power generation output power and the fan power generation output power at the moment can be obtained;
and step 3: obtaining the relevant probability distribution and parameters obtained in the step 2 by adopting a Latin hypercube sampling method
Figure 94673DEST_PATH_IMAGE265
Grouping random sample data of photovoltaic power, fan power generation output power and load power;
and 4, step 4: taking each group of random sample data obtained by sampling in the step 3 as a known scene, and performing deterministic solution under each scene by respectively adopting a reactive power optimization model based on mixed integer second-order cone relaxation to obtain a reactive power optimization strategy under the generated scene, wherein the reactive power optimization model based on mixed integer second-order cone relaxation is detailed in the part 1 in the specific implementation mode, and is not repeated here;
and 5: performing statistical analysis on the simulation results, and respectively calculating the obtained results
Figure 957586DEST_PATH_IMAGE265
The mathematical expectation of on-load tap changing transformer tap position, switchable capacitor bank switching position and SVC compensation power in the group reactive power optimization strategy is as follows:
Figure 588419DEST_PATH_IMAGE266
(52)
in the formula ,
Figure 56441DEST_PATH_IMAGE265
the number of Latin hypercube sampling, namely the total simulation times;
Figure 544054DEST_PATH_IMAGE267
(
Figure 831947DEST_PATH_IMAGE018
=1,2,…,
Figure 797629DEST_PATH_IMAGE265
) Is the system one
Figure 182474DEST_PATH_IMAGE018
The result obtained by the secondary random simulation;
Figure 778671DEST_PATH_IMAGE268
representative sample results
Figure 881756DEST_PATH_IMAGE269
Is a mathematical expectation of
Figure 588812DEST_PATH_IMAGE265
Large enough to be used as an unbiased estimate of the true value of the system result. Therefore, the influence of the randomness factors on the system can be reflected.
And the tap gear of the on-load tap changing transformer, the switching gear of the switchable capacitor and the expected value of the SVC compensation power are used as a final reactive power control strategy, so that a system reactive power optimization control scheme under the consideration of the uncertainty of a fan, photovoltaic and load is realized.
Based on the same inventive concept, an embodiment of the present invention further provides a reactive voltage control system based on digital-mechanism fusion driving modeling, as shown in fig. 4, the system includes an offline training module, configured to:
and taking a reactive power optimization result based on the deterministic optimization model as an input characteristic, taking a reactive power optimization result based on the random optimization model as an output label, and training the model containing the target neural network.
Further, the system also includes an online application module for: acquiring prediction data of system operation; obtaining a predictive reactive power optimization strategy based on a deterministic optimization model according to the predictive data; and inputting the predicted reactive power optimization strategy into a target neural network model trained by an offline training module, and generating a corrected reactive power optimization strategy after source load uncertainty is considered.
The specific implementation of the offline training module and the online application module can be obtained according to the method for controlling reactive voltage based on digital-mechanism fusion drive modeling in the embodiment of the invention, and is not described again.
Based on the same inventive concept, as shown in fig. 5, an embodiment of the present invention further provides another reactive voltage control system based on digital-mechanism fusion driving modeling, which includes at least one processor and at least one memory, where the memory stores a computer program for executing the reactive voltage control method based on digital-mechanism fusion driving modeling in the embodiment of the present invention, and the processor is configured to call the computer program in the memory to execute the reactive voltage control method based on digital-mechanism fusion driving modeling. Fig. 5 illustrates an example of a memory and a processor.
The reactive voltage control method and system based on the digital-mechanism fusion drive modeling, disclosed by the invention, adopt a model of a complementary fusion mechanism of the mechanism model and the digital model, have both definite cause and effect knowledge of the mechanism model and strong fitting capability of the digital model, and realize accurate and rapid online control of system voltage, so that the problem of voltage fluctuation caused by randomness of new energy and load is effectively relieved to a certain extent, and the operation safety and the power supply reliability of a power grid are ensured.
Although the present invention has been described in detail with reference to the foregoing embodiments, it should be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.

Claims (14)

1. A reactive voltage control method based on digital-mechanism fusion drive modeling is characterized by comprising the following steps:
in the off-line training stage, a reactive power optimization result based on a deterministic optimization model is used as an input feature, a reactive power optimization result based on a random optimization model is used as an output label, and a model containing a target neural network is trained.
2. The reactive voltage control method based on the digital-mechanism fusion driving modeling is characterized in that the reactive power optimization result based on the stochastic optimization model is generated by the following method:
and performing reactive power optimization on historical observation data of the system by adopting a random optimization model based on a Latin hypercube sampling method to obtain a reactive power optimization control strategy corresponding to the historical observation data, and forming a first reactive power optimization strategy.
3. The reactive voltage control method based on the digital-mechanical fusion driving modeling according to claim 2, wherein the reactive power optimization result based on the deterministic optimization model is generated by:
and performing reactive power optimization on the historical observation data of the system by adopting a deterministic optimization model based on mixed integer second-order cone relaxation to obtain a corresponding reactive power optimization control strategy, which is used as a second reactive power optimization strategy.
4. The reactive voltage control method based on digital-mechanical fusion driving modeling according to claim 3,
the target neural network model adopts a model that a convolutional neural network CNN is combined with a gating circulation unit GRU, namely a CNN-GRU model.
5. The reactive voltage control method based on the digital-mechanism fusion driving modeling is characterized in that the reactive power optimization result based on the stochastic optimization model is generated by the following method:
according to historical observation data, estimating Beta distribution related parameters of illumination intensity, weibull distribution related parameters of wind speed and normal distribution related parameters of load power at a certain moment, taking an observation value of the load power at the moment as a mean value parameter of the normal distribution, and then obtaining probability distribution and related parameters of corresponding photovoltaic power generation output power and fan power generation output power at the moment according to an approximate relational expression between the photovoltaic power generation output power and the illumination intensity, and between the fan power generation output power and the wind speed;
obtaining random sample data of photovoltaic power generation output power, fan power generation output power and load power at the moment by adopting a Latin hypercube sampling method, sequentially carrying out reactive power optimization simulation on each group of sample data, carrying out statistical analysis on simulation results, and taking the gear of each on-load tap-changing transformer
Figure 810330DEST_PATH_IMAGE001
Switchable capacitor bank gear
Figure 399574DEST_PATH_IMAGE002
And SVC compensation power
Figure 789098DEST_PATH_IMAGE003
As a reactive power control strategy derived from a stochastic optimization model at that moment
Figure 832974DEST_PATH_IMAGE004
Will system
Figure 381767DEST_PATH_IMAGE005
The photovoltaic power generation output power, the fan power generation output power and the load power at each moment are respectivelyRandom reactive power optimization is carried out by adopting a Latin hypercube sampling method, and reactive power optimization control strategies obtained by solving at each moment are stored into a historical strategy library to form a first reactive power optimization strategy
Figure 876333DEST_PATH_IMAGE006
Figure 753153DEST_PATH_IMAGE004
And representing the reactive power control strategy obtained by the random optimization model at the t-th moment.
6. The reactive voltage control method based on the digital-mechanical fusion driving modeling is characterized in that the reactive power optimization result based on the deterministic optimization model is generated by the following method:
will system
Figure 624157DEST_PATH_IMAGE005
Historical observation data of photovoltaic power generation output power, fan power generation output power and load power at each moment are respectively subjected to reactive power optimization by using a deterministic optimization model based on mixed integer second-order cone relaxation to obtain corresponding reactive power optimization control strategies
Figure 699561DEST_PATH_IMAGE007
As a second reactive power optimization strategy.
7. The reactive voltage control method based on digital-mechanical fusion driving modeling according to any one of claims 1-6, further comprising, during an online application phase:
acquiring prediction data of system operation;
obtaining a predictive reactive power optimization strategy based on a deterministic optimization model according to the predictive data;
and inputting the predicted reactive power optimization strategy into the target neural network model, and generating a corrected reactive power optimization strategy after source load uncertainty is considered.
8. The reactive voltage control method based on digital-mechanical fusion driving modeling according to claim 7, characterized by comprising in an online application phase:
step 1: forecasting data including photovoltaic power generation output power, fan power generation output power and load power of a system at a certain time in the future
Figure 302712DEST_PATH_IMAGE008
, wherein ,
Figure 525883DEST_PATH_IMAGE009
for the predicted value of the output power of the photovoltaic power generation,
Figure 934998DEST_PATH_IMAGE010
the power generation output power of the fan is predicted value,
Figure 68170DEST_PATH_IMAGE011
the predicted value of the load power is obtained;
and 2, step: will predict the data
Figure 435698DEST_PATH_IMAGE012
Inputting a reactive power optimization model based on mixed integer second order cone relaxation to obtain the prediction data
Figure 349427DEST_PATH_IMAGE012
Corresponding predictive reactive power optimization strategy
Figure 93392DEST_PATH_IMAGE013
And step 3: forecasting reactive power optimization strategy of deterministic optimization model in step 2
Figure 674546DEST_PATH_IMAGE014
Inputting the data into a target neural network model, and outputting a corrected reactive power optimization strategy under the condition of considering the uncertainty of a fan, a photovoltaic and a load
Figure 619500DEST_PATH_IMAGE015
The target neural network model is a model CNN-GRU formed by combining a convolutional neural network CNN and a gating circulation unit GRU;
and 4, step 4: sending the modified reactive power optimization strategy to the power grid
Figure 20525DEST_PATH_IMAGE015
And the method is used for simulating and deducing on line and calculating the power control parameters under the strategy.
9. The reactive voltage control method based on the digital-mechanism fusion driving modeling according to claim 4, wherein training a target neural network model comprises:
the second reactive power optimization strategies output by the reactive power optimization model based on the mixed integer second-order cone relaxation are all represented by binary coding, including adopting the on-load tap-changing transformer gears
Figure 459859DEST_PATH_IMAGE016
Bit binary representation and switchable capacitor bank gear adoption
Figure 629940DEST_PATH_IMAGE017
Bit binary representation, SVC compensation power value adoption
Figure 339270DEST_PATH_IMAGE018
Bit binary representation;
constructing a second reactive power optimization strategy in a binary coding form into a tensor form, and taking the channel number as 1, namely, inputting the data sample dimension of the CNN-GRU model as;
Figure 899696DEST_PATH_IMAGE019
(1)
wherein ,
Figure 251043DEST_PATH_IMAGE020
Figure 275631DEST_PATH_IMAGE021
Figure 155862DEST_PATH_IMAGE022
the numbers of the on-load tap changers, the switchable capacitor banks and the SVCs participating in reactive power control are respectively;
the input data is firstly subjected to multi-layer CNN extraction characteristics, then is subjected to flattening treatment to be used as input of multi-layer GRUs, and finally is output through a full connection layer, so that the relation between a second reactive power optimization strategy and a first reactive power optimization strategy is mapped and used for correcting a prediction reactive power control strategy.
10. The reactive voltage control method based on the digital-mechanism fusion driving modeling is characterized in that the CNN-GRU model is constructed in the following way:
the CNN adopts a series structure of 3 groups of rolling layers and pooling layers;
after the input data is subjected to the operations of the convolutional layer and the pooling layer, the input flat layer is tiled into a one-dimensional vector, the extracted data abstract features are converted into global feature vectors, and the global feature vectors are used as GRU input;
GRU adopts 3 layer structure, and single GRU structure comprises update gate and reset gate, and its formula is:
Figure 203584DEST_PATH_IMAGE023
(2)
Figure 296304DEST_PATH_IMAGE024
(3)
Figure 503295DEST_PATH_IMAGE025
(4)
Figure 554428DEST_PATH_IMAGE026
(5)
in the formula ,
Figure 151762DEST_PATH_IMAGE027
indicating that the current time step updated the door state,
Figure 985857DEST_PATH_IMAGE028
indicating that the current time step resets the gate state,
Figure 516195DEST_PATH_IMAGE029
indicating the state of the GRU at the current time step,
Figure 472650DEST_PATH_IMAGE030
indicating the state of the GRU at the previous time step,
Figure 822860DEST_PATH_IMAGE031
candidate states representing the current time step of the GRU for computation
Figure 460646DEST_PATH_IMAGE032
Figure 314332DEST_PATH_IMAGE033
An input representing the current time step of the GRU,
Figure 238426DEST_PATH_IMAGE034
for the weights of the input layer to the hidden layer,
Figure 810353DEST_PATH_IMAGE035
in order to imply the weight of the layer itself,
Figure 314147DEST_PATH_IMAGE036
for input to the refresh door
Figure 960023DEST_PATH_IMAGE037
The weight of (a) is calculated,
Figure 789438DEST_PATH_IMAGE038
hiding the layer to the refresh gate for the previous time step
Figure 786344DEST_PATH_IMAGE037
The weight of (a) is calculated,
Figure 828250DEST_PATH_IMAGE039
to input to a reset gate
Figure 453266DEST_PATH_IMAGE040
The weight of (a) is calculated,
Figure 922425DEST_PATH_IMAGE041
hiding a layer to reset gate for a previous time step
Figure 141048DEST_PATH_IMAGE042
Weight and symbol of
Figure 697948DEST_PATH_IMAGE043
Representing a Hadamard product;
and adding a discarding layer behind each GRU layer to prevent over-fitting of the network, and finally outputting a corrected reactive power optimization strategy considering the uncertainty of the fan, the photovoltaic and the load through a full connection layer.
11. The reactive voltage control method based on the digital-mechanism fusion driving modeling is characterized in that Adam algorithm is adopted in CNN-GRU training, and the weight updating formula is as follows:
Figure 177470DEST_PATH_IMAGE044
(6)
Figure 755213DEST_PATH_IMAGE045
(7)
Figure 523449DEST_PATH_IMAGE046
(8)
in the formula ,
Figure 703895DEST_PATH_IMAGE047
and
Figure 178870DEST_PATH_IMAGE048
for the network weight parameter to be updated in the adjacent time step,
Figure 255410DEST_PATH_IMAGE049
in order to smooth out the parameters of the image,
Figure 510942DEST_PATH_IMAGE050
in order to obtain a learning rate,
Figure 495079DEST_PATH_IMAGE051
as a function of loss
Figure 152456DEST_PATH_IMAGE052
To pair
Figure 72002DEST_PATH_IMAGE047
The partial derivative of (a) of (b),
Figure 814830DEST_PATH_IMAGE053
and
Figure 136745DEST_PATH_IMAGE054
the exponential decay rates of the first order moment estimate and the second order moment estimate respectively,
Figure 648629DEST_PATH_IMAGE055
and
Figure 598131DEST_PATH_IMAGE056
are respectively as
Figure 500359DEST_PATH_IMAGE053
And
Figure 29560DEST_PATH_IMAGE054
to the power of t of (a),
Figure 661530DEST_PATH_IMAGE057
Figure 47512DEST_PATH_IMAGE058
for gradients at t time steps respectively
Figure 764932DEST_PATH_IMAGE051
The first order moment estimated value and the second order moment estimated value of the first order moment, similarly,
Figure 769928DEST_PATH_IMAGE059
Figure 990825DEST_PATH_IMAGE060
respectively corresponding values at t-1 time step,
Figure 813288DEST_PATH_IMAGE061
Figure 424529DEST_PATH_IMAGE062
taking into account the corrected deviations for the gradient at t time steps
Figure 295533DEST_PATH_IMAGE051
A first moment estimate and a second moment estimate of;
the root mean square error function is a loss function of model training, and the formula is as follows:
Figure 636515DEST_PATH_IMAGE063
(9)
in the formula ,
Figure 629879DEST_PATH_IMAGE064
for the total number of reactive control strategies at each time t stored in the strategy library,
Figure 56312DEST_PATH_IMAGE065
in a policy repository
Figure 731007DEST_PATH_IMAGE066
A reactive power control strategy obtained by a random optimization model at a moment,
Figure 864180DEST_PATH_IMAGE067
and outputting the modified reactive power control strategy for the CNN-GRU model.
12. A reactive voltage control system based on digital-mechanism fusion drive modeling is characterized by comprising an offline training module, a reactive voltage control module and a reactive voltage control module, wherein the offline training module is used for:
and taking a reactive power optimization result based on the deterministic optimization model as an input characteristic, taking a reactive power optimization result based on the random optimization model as an output label, and training the model containing the target neural network.
13. The digital-mechanical fusion drive modeling based reactive voltage control system of claim 12, further comprising an online application module for:
acquiring prediction data of system operation;
obtaining a prediction reactive power optimization strategy based on a deterministic optimization model according to prediction data;
and inputting the predicted reactive power optimization strategy into the target neural network model, and generating a modified reactive power optimization strategy after source load uncertainty is considered.
14. A reactive voltage control system based on digital-mechanical fusion drive modeling, the system comprising at least one processor and at least one memory;
the memory stores a computer program for performing the method of any of claims 1-11, and the processor calls the computer program in the memory to perform the method of any of claims 1-11.
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