CN109638842B - Intelligent search algorithm applied to flexible load real-time voltage regulation - Google Patents
Intelligent search algorithm applied to flexible load real-time voltage regulation Download PDFInfo
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- CN109638842B CN109638842B CN201910036245.2A CN201910036245A CN109638842B CN 109638842 B CN109638842 B CN 109638842B CN 201910036245 A CN201910036245 A CN 201910036245A CN 109638842 B CN109638842 B CN 109638842B
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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
- H02J3/12—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
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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
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
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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
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T10/00—Road transport of goods or passengers
- Y02T10/10—Internal combustion engine [ICE] based vehicles
- Y02T10/40—Engine management systems
Abstract
The invention discloses an intelligent search algorithm applied to flexible load real-time voltage regulation, which is designed based on the line voltage drop characteristic of a star-shaped power distribution network and comprises the following steps: detecting the voltages of all nodes in the power distribution network through real-time load flow calculation, and sequencing the voltages from small to large; when node undervoltage or overvoltage occurs, all adjustable flexible loads in the nodes are searched, switching-on and switching-off combinations of all flexible load switches are considered, and a list in which all power combinations are sorted from small to large is generated. By adopting the technical scheme of the invention, the minimum flexible load power combination is searched through the sequencing of the node voltages in the power distribution network, and the load operation plan of a user is changed to the minimum extent. And the voltage of the node of the power distribution network is controlled within a reasonable range by switching on and off the flexible load. The problem of voltage rise caused by the fact that a large number of distributed generation networks are connected with the power grid and the problem of voltage drop caused by the fact that a large number of electric automobiles are charged simultaneously are solved, and safe and stable operation of a power distribution network is maintained.
Description
Technical Field
The invention relates to the technical field of voltage control of a power distribution network, in particular to an intelligent search algorithm applied to real-time voltage regulation of flexible loads.
Background
With the continuous development of smart power grids, power distribution networks are also changed greatly in recent years. Distributed power generation systems of renewable energy, such as rooftop photovoltaic power generation, are increasingly being carried in distribution networks. In a conventional distribution network, the power flow is from a substation to an end user. And when a large amount of surplus power generated in a distributed mode is merged into the power distribution network, the power flow of the power distribution network is changed into a bidirectional power flow. The residual power can raise the voltage of nodes in the power distribution network, and overvoltage can be caused in serious cases. On the other hand, pure electric vehicles have been rapidly developed in recent years. When a large number of electric automobiles are charged in the power distribution network at the same time, a new load peak is generated, the voltage of the power distribution network is reduced, and the problem of under-voltage is caused in severe cases. Distributed generation is incorporated into the power networks and a large amount of electric automobile charges and inserts the distribution network for distribution network voltage control becomes more complicated and difficult, brings the unstability of voltage for the distribution network. The distributed power generation is greatly influenced by weather, and the intermittent characteristic exists in power generation, so that the voltage change of the power distribution network is more severe, and if the distributed power generation is controlled by only traditional voltage regulating equipment, the equipment can frequently act, and the service life of the equipment is influenced. Furthermore, the conventional voltage regulating device has a time delay in operation, and it is difficult to cope with a rapid voltage change.
The user side demand response is regarded as an important component of the smart power grid, and along with the development of smart homes, the user side electric equipment has the functions of remote control, automatic control and the like, so that more convenience can be provided for the demand response. In a power distribution network, due to the small ratio of capacitance to resistance (i.e., X/R), the voltage in the power distribution network is greatly affected by the change in the active power of the flexible load. In recent years, there have been many studies at home and abroad to assist voltage control of a power distribution network by using power regulation of a flexible load. When the flexible load on the user side is used, the influence on the service time of the user load should be reduced as much as possible, however, when the flexible load is used for real-time voltage regulation, the nonlinear power flow calculation is included, so that the method is an integral combined nonlinear optimization and needs a large amount of calculation resources. Heuristic algorithms such as genetic algorithm and the like are commonly used algorithms for solving nonlinear combinatorial optimization, but the methods need long-time iteration and are not suitable for real-time optimization. The voltage sensitivity coefficient method is a widely adopted real-time voltage control algorithm, and is characterized in that a sensitivity coefficient matrix is obtained by calculating an inverse matrix of a Jacobian matrix in Newton/Raphson power flow, and then the power adjustment quantity required by each node is directly calculated through the sensitivity coefficient matrix. However, the voltage-sensitive coefficient method does not consider whether the node has a flexible load capable of being adjusted, and the voltage adjustment is performed on all nodes, not on the voltage-out-of-limit node.
Therefore, it is necessary to provide a technical solution to solve the technical problems of the prior art.
Disclosure of Invention
In view of the above, it is necessary to provide an intelligent search algorithm applied to real-time voltage regulation of flexible loads, which searches for the minimum flexible load power combination and minimally affects the flexible load operating time of a user, thereby implementing voltage regulation of a power distribution network, so as to reduce the investment of equipment construction and maintenance cost on the power distribution network side and save the maintenance cost of voltage stabilization of the power distribution network.
In order to overcome the defects of the prior art, the technical scheme of the invention is as follows:
an intelligent search algorithm applied to real-time voltage regulation of flexible loads comprises the following steps:
step S1: and detecting the voltages of all nodes in the power distribution network through real-time load flow calculation, and sequencing the voltages from small to large.
Step S2: when node undervoltage or overvoltage occurs, all adjustable flexible loads in the nodes are searched, switching-on and switching-off combinations of all flexible load switches are considered, and a list in which all power combinations are sorted from small to large is generated.
Step S3: when the minimum node voltage is lower than the lower limit of the voltage, selecting the minimum flexible load power combination, and turning off the flexible load to adjust the minimum voltage to be within an allowable range; and when the maximum node voltage is higher than the upper voltage limit, selecting the minimum flexible load power combination, and starting the flexible load to adjust the maximum voltage to be within an allowable range.
Preferably, the flexible load is a load whose working time of the user is adjustable within an allowable time range, such as but not limited to an air conditioner, a washing machine, and a rechargeable battery of an electric vehicle. And the voltages of all the nodes in the power distribution network are obtained by load flow calculation according to the basic load, the distributed power generation, the flexible load and the power distribution network line parameters of the user.
Preferably, in step S2, the undervoltage is a lower limit where the voltage is lower than a prescribed value; the overvoltage is an upper limit of the voltage above a prescribed value.
Preferably, in step S2, the opening combination of the flexible load switch further includes the following steps:
step S211: establishing a flexible load model for a user
Wherein, Pn(t) represents the sum of the compliant load power at node n at time t.Representing the total number of compliant loads.A switch representing a flexible load, 1 representing a switch on, and 0 representing a switch off.
The opening of the flexible load is required to be within an allowable working range,
wherein the content of the first and second substances,andrespectively representing the flexible loads A of the nodes niThe allowed start time and the operating time.
Step S212: generating a list of all power combinations of the flexible loads ordered from small to large
Preferably, all the controllable flexible loads in the node are flexible loads that can be switched on or off at the present moment. According to the opening and the disconnection of all the adjustable flexible loads, the totalAnd (4) combining the power. The upsilon combination is arranged from small to large as shown in formula (1)
Where n represents a node number.Is the controllable flexible load matrix of the nth node. Gamma is used to indicate the number of elements in the matrix, and has an initial value of 1, P n10 means no compliant load is applied; pn2Represents the smallest non-zero power combination; pnΥIndicating the maximum power combination.
Preferably, in step S3, the minimum compliant load power combination further includes the following steps:
step S311: establishing a flexible load power combination optimization mathematical model,
constraint conditions are as follows:
flexible load power constraints Eqs (10) - (12).
Load flow calculation equation:
voltage constraint:
Vlow≤Vn(t)≤Vhigh (16)
where t represents time.Representing base load,NcRepresenting the total number of nodes. Vlow、VhighRespectively representing the lower and upper voltage limits. GnjRepresenting the real part of the line admittance matrix, BnjRepresenting the imaginary part, δ, of the line admittance matrixnjRepresenting the difference in the phase angle of the voltage.
Step S312: flexible load power combination search under voltage
When the minimum value of all node voltages is lower than the voltage lower limit, the node gamma is made to be gamma +1, and P is addednγAnd (4) counting the power of the flexible load in the power flow calculation. And repeating the step S1, and performing the load flow calculation again to sequence all the voltages from small to large. If the minimum voltage is still lower than the voltage lower limit, steps S311 and S312 are repeated. Until the lowest voltage is adjusted to be within the allowable range.
Step S313: flexible load power combination search during overvoltage
And when the maximum value of all the node voltages is higher than the upper voltage limit, the node gamma is made to be gamma +1, and Pn gamma is counted into the flexible load power in the power flow calculation. And repeating the steps S1 and S2, and performing the load flow calculation again to sequence all the voltages from small to large. If the maximum voltage is still higher than the upper voltage limit, steps S311 and S313 are repeated. Until the highest voltage is adjusted to be within the allowable range.
Preferably, the optimization algorithm is based on the ranking of all node voltages within the power distribution network, and each search is for the minimum voltage node or the maximum flexible load power combination of the voltage nodes.
Compared with the existing algorithm, the method is based on the voltage sequencing of all nodes in the power distribution network, and the flexible load working time of a user is influenced to the minimum extent by planning the minimum flexible load power combination, so that the voltage control of the power distribution network is realized. By adopting the technical scheme of the invention, the overvoltage problem caused by the fact that a large number of distributed generation networks are connected and the undervoltage problem caused by the fact that a large number of electric automobiles are charged simultaneously can be solved, and the safe and stable operation of the power distribution network is maintained. Therefore, new construction and maintenance of the power grid terminal voltage regulating equipment are reduced, and economic benefits can be brought to the society.
Drawings
Fig. 1 is a schematic diagram of the present invention for implementing real-time voltage control of a power distribution network by using flexible loads.
FIG. 2 is a block diagram of the process of applying the intelligent search algorithm of the present invention to real-time voltage regulation optimization of a flexible load.
FIG. 3 is a flow chart of an intelligent search algorithm applied to real-time voltage regulation of a flexible load according to the present invention.
Fig. 4 is a 33 bus power distribution network model.
FIG. 5 is a power schematic of solar power generation and base load.
FIG. 6 is a graph of simulation results for four examples.
The following specific embodiments will further illustrate the invention in conjunction with the above-described figures.
Detailed Description
The following description of the embodiments of the present invention will be provided in order to more clearly and completely describe the contents of the present invention with reference to the accompanying drawings. It should be noted that the described embodiment is only one embodiment of the invention, and not all embodiments.
Referring to fig. 1, a schematic diagram of the power regulation of the flexible load participating in the real-time voltage control of the distribution network is shown. The adjustment of the node voltage can be realized by changing the active power and the reactive power of the user side.
Referring to fig. 2-5, undervoltage is the lower limit of voltage below a specified value; the overvoltage is an upper limit of the voltage above a prescribed value. And when the voltage of the nodes in the power distribution network is lower than the lower voltage limit or higher than the upper voltage limit, searching for flexible loads in the nodes, and realizing the voltage control of the power distribution network through the power adjustment of the flexible loads. The flexible load is a load with the working time of a user adjustable within a time range allowed by the user, such as but not limited to an air conditioner, a washing machine and a rechargeable battery of an electric automobile. And the voltages of all the nodes in the power distribution network are obtained by load flow calculation according to the basic load, the distributed power generation, the flexible load and the power distribution network line parameters of the user. The invention relates to an intelligent search algorithm applied to real-time voltage regulation of a flexible load, which is suitable for the optimization of the participation of the power regulation of the flexible load in the voltage control of a power distribution network. The combination of the flexible load power required to be adjusted is minimized through optimization, and the voltage control is realized on the premise of minimally influencing the working time of the flexible load of a user.
The invention relates to an intelligent search algorithm applied to real-time pressure regulation of a flexible load, which comprises the following steps:
step S1: and detecting the voltages of all nodes in the power distribution network through real-time load flow calculation, and sequencing the voltages from small to large.
Step S2: when node undervoltage or overvoltage occurs, all adjustable flexible loads in the nodes are searched, switching-on and switching-off combinations of all flexible load switches are considered, and a list in which all power combinations are sorted from small to large is generated.
Step S3: when the minimum node voltage is lower than the lower limit of the voltage, selecting the minimum flexible load power combination, and turning off the flexible load to adjust the minimum voltage to be within an allowable range; and when the maximum node voltage is higher than the upper voltage limit, selecting the minimum flexible load power combination, and starting the flexible load to adjust the maximum voltage to be within an allowable range.
In step S2, the opening combination of the flexible load switch further includes the following steps:
step S211: establishing a flexible load model for a user
Wherein, Pn(t) represents the sum of the compliant load power at node n at time t.Representing the total number of compliant loads.A switch representing a flexible load, 1 representing a switch on, and 0 representing a switch off.
The opening of the flexible load is required to be within an allowable working range,
wherein the content of the first and second substances,andrespectively representing the flexible loads A of the nodes niThe allowed start time and the operating time.
Step S212: generating a list of all power combinations of the flexible loads ordered from small to large
All the controllable flexible loads in the node are flexible loads that can be switched on or off at the present moment. According to the opening and the disconnection of all the adjustable flexible loads, the totalAnd (4) combining the power. The upsilon combination is arranged from small to large as shown in formula (1)
Where n represents a node number.Is the controllable flexible load matrix of the nth node. Gamma is used to indicate the number of elements in the matrix, and has an initial value of 1, P n10 means no compliant load is applied; pn2Represents the smallest non-zero power combination; pnΥIndicating the maximum power combination.
In step S3, the minimum compliant-load power combination further includes the following steps:
step S311: establishing a flexible load power combination optimization mathematical model,
constraint conditions are as follows:
flexible load power constraints Eqs (17) - (19).
Load flow calculation equation:
voltage constraint:
Vlow≤Vn(t)≤Vhigh (24)
where t represents time.Representing the base load, NcRepresenting the total number of nodes. Vlow、VhighRespectively representing the lower and upper voltage limits. GnjRepresenting the real part of the line admittance matrix, BnjRepresenting the imaginary part, δ, of the line admittance matrixnjRepresenting the difference in the phase angle of the voltage.
Step S312: flexible load power combination search under voltage
When the minimum value of all node voltages is lower than the voltage lower limit, the node gamma is made to be gamma +1, and P is addednγAnd (4) counting the power of the flexible load in the power flow calculation. And repeating the step S1, and performing the load flow calculation again to sequence all the voltages from small to large. If the minimum voltage is still lower than the voltage lower limit, steps S311 and S312 are repeated. Until the lowest voltage is adjusted to be within the allowable range.
Step S313: flexible load power combination search during overvoltage
When the maximum value of all the node voltages is higher than the upper voltage limit, the node gamma is made to be gamma +1, and P is addednγFlexible load counting in load flow calculationAnd (4) the charge power. And repeating the steps S1 and S2, and performing the load flow calculation again to sequence all the voltages from small to large. If the maximum voltage is still higher than the upper voltage limit, steps S311 and S313 are repeated. Until the highest voltage is adjusted to be within the allowable range.
The optimization algorithm of the invention is based on the ranking of all node voltages in the power distribution network, and each search is for the flexible load power combination of the minimum voltage node or the maximum voltage node.
To illustrate the effect of the present invention on the voltage regulation of the distribution network, the present embodiment takes a 33-bus distribution network (as shown in fig. 4) as a system model, and the control effect of the present invention is illustrated by simulation. Wherein, the node 1 is a reference node, the voltage is fixed to be 1p.u., the other 32 nodes are user nodes, and the allowable range of the voltage of each node is [0.9,1.1] p.u. Assuming 100 users on each node, the loading rates of the solar power generation and the electric vehicle of the users are 60% and 50%, respectively. The power of the solar power generation and the base load of the user is shown in fig. 5. Several user compliance loads were selected as shown in table 1.
TABLE 1 Movable load parameter
In order to illustrate the effect of the invention on the voltage regulation of the power distribution network, the embodiment lists 4 examples, and contrasts the advantages of the intelligent search algorithm applied to the real-time voltage regulation of the flexible load.
Example 1: user flexible loads are not used for real-time voltage regulation.
Example 2: and optimizing and calculating the real-time voltage regulation of the flexible load by using a voltage sensitivity coefficient method.
Example 3: and optimizing and calculating the real-time pressure regulation of the flexible load by utilizing a genetic algorithm.
Example 4: the intelligent search algorithm of the invention is utilized to optimize and calculate the real-time pressure regulation of the flexible load.
Figure 6 is a table showing the optimization results of 4 examples. Since the load factor of the photovoltaic power generation and the electric vehicle is high, 19 overvoltage cases and 272 undervoltage cases were caused in the case of the example 1. Examples 2,3,4 voltage regulation was performed by an optimization algorithm using a flexible load. As can be seen from the table, the voltage sensitivity factor method cannot solve all the undervoltage problems, and 88 undervoltage events still occur. Both the genetic algorithm and the intelligent search algorithm can solve the problems of undervoltage and overvoltage through flexible load, but the genetic algorithm needs multiple iterations, so the calculation time is 2.615 seconds, and the real-time voltage control applied to a large system is not facilitated. The invention provides an intelligent search algorithm, the longest optimization calculation time is 0.169 second, the time is shortened by 15 times compared with the genetic algorithm, the used flexible load is less than the genetic algorithm, and the voltage control is realized on the premise of realizing the minimum influence on the working time of the flexible load of a user.
The above description of the embodiments is only intended to facilitate the understanding of the method of the invention and its core idea. It should be noted that, for those skilled in the art, it is possible to make various improvements and modifications to the present invention without departing from the principle of the present invention, and those improvements and modifications also fall within the scope of the claims of the present invention.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (5)
1. An intelligent search algorithm applied to real-time pressure regulation of flexible loads is characterized by comprising the following steps:
step S1: detecting the voltages of all nodes in the power distribution network through real-time load flow calculation, and sequencing the voltages from small to large;
step S2: when node undervoltage or overvoltage occurs, searching all adjustable flexible loads in the node, considering the on-off combination of all flexible load switches, and generating a list of all power combinations in a descending order;
step S3: when the minimum node voltage is lower than the lower limit of the voltage, selecting the minimum flexible load power combination, and turning off the flexible load to adjust the minimum voltage to be within an allowable range; when the maximum node voltage is higher than the upper voltage limit, selecting the minimum flexible load power combination, and starting the flexible load to adjust the maximum voltage to be within an allowable range;
in step S2, the opening combination of the flexible load switch includes the following steps:
step S211: establishing a flexible load model for a user
Wherein, Pn(t) represents the sum of the flexible load power of node n at time t;representing the total number of compliant loads;a switch representing a flexible load, 1 representing the switch is on, and 0 representing the switch is off;
the opening of the flexible load is required to be within an allowable working range,
wherein the content of the first and second substances,andrespectively representing the flexible loads A of the nodes niPower, start time and operating time;
step S212: generating a list of all power combinations of the flexible loads, wherein the power combinations are ordered from small to large;
all the controllable flexible loads in the node are flexible loads which can be switched on or switched off at the current moment; according to the opening and the disconnection of all the adjustable flexible loads, the totalThe seed power combination is arranged from small to large as shown in formula (4)
Wherein n represents a node number,is an adjustable flexible load matrix of the nth node; gamma is used to indicate the number of elements in the matrix, and has an initial value of 1, Pn10 means no compliant load is applied; pn2Represents the smallest non-zero power combination; pnΥRepresents the maximum power combination;
in step S3, the minimum compliant-load power combination further includes the following steps:
step S311: establishing a flexible load power combination optimization mathematical model,
constraint conditions are as follows:
flexible load power constraints Eqs (1) - (3).
Load flow calculation equation:
voltage constraint:
Vlow≤Vn(t)≤Vhigh (8)
wherein, t represents the time of day,representing the base load, NcRepresents the total number of nodes, Vlow、VhighRespectively representing a lower limit and an upper limit of the voltage; gnjRepresenting the real part of the line admittance matrix, BnjRepresenting the imaginary part, δ, of the line admittance matrixnjRepresenting the difference of the voltage phase angles;
step S312: searching the power combination of the flexible load under the condition of undervoltage;
when the minimum value of all node voltages is lower than the voltage lower limit, the node gamma is made to be gamma +1, and P is addednγCalculating the power of the flexible load in the load flow calculation; repeating the step S1, performing load flow calculation again, and sequencing all the voltages from small to large; if the minimum voltage is still lower than the voltage lower limit, repeating the steps S311 and S312 until the minimum voltage is adjusted to be within the allowable range;
step S313: searching the power combination of the flexible load during overvoltage;
when the maximum value of all the node voltages is higher than the upper voltage limit, the node gamma is made to be gamma +1, and P is addednγCalculating the flexible load power in the load flow calculation; repeating the steps S1 and S2, carrying out load flow calculation again, and sequencing all the voltages from small to large; if the maximum voltage is still higher than the upper voltage limit, steps S311 and S313 are repeated until the maximum voltage is adjusted to be within the allowable range.
2. The intelligent search algorithm applied to the real-time voltage regulation of the flexible load according to claim 1, wherein in step S2, the under-voltage is a lower limit of the voltage below a specified value; the overvoltage is an upper limit of the voltage above a prescribed value.
3. The intelligent search algorithm for flexible load real-time voltage regulation according to claim 2, wherein the optimization algorithm is based on the ranking of all node voltages in the power distribution network, and each search is for the flexible load power combination of the smallest voltage node or the largest voltage node.
4. The intelligent search algorithm applied to the real-time voltage regulation of the flexible load according to claim 3, wherein the flexible load is a load whose working time of a user is adjustable within an allowable time range,
the flexible load is an air conditioner, a washing machine or a rechargeable battery of an electric automobile.
5. The intelligent search algorithm applied to the real-time voltage regulation of the flexible loads is characterized in that the voltages of all nodes in the power distribution network are obtained by load flow calculation according to the basic loads, the distributed power generation, the flexible loads and the line parameters of the power distribution network of users.
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