CN115954884A - Power distribution network load flow calculation method and system based on edge calculation - Google Patents
Power distribution network load flow calculation method and system based on edge calculation Download PDFInfo
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Abstract
The invention discloses a power distribution network load flow calculation method and system based on edge calculation, which relate to the technical field of power distribution network load flow calculation and comprise the following steps: networking the intelligent measuring terminals installed on each node of the power distribution network, and establishing communication connection between the intelligent measuring terminals and other intelligent measuring terminals at the upstream and downstream of the intelligent measuring terminals respectively; initializing each intelligent measuring terminal; repeatedly executing the following calculation until the amplitude and the phase angle of the terminal voltage of each feeder section converge: from the downstream to the upstream of the distribution network, the intelligent measuring terminal sequentially calculates the power flowing through the head end of each feeder line section, and from the upstream to the downstream of the distribution network, the intelligent measuring terminal sequentially calculates the tail end voltage of each feeder line section; after the amplitude and the phase angle of the terminal voltage of each feeder line section are converged, each intelligent measurement terminal sends the last calculation result to the power distribution network main station. The method can effectively reduce the operation pressure of the power distribution network main station.
Description
Technical Field
The invention relates to the technical field of power distribution network load flow calculation, in particular to a power distribution network load flow calculation method and system based on edge calculation.
Background
The distribution network is located the end of electric power system, directly influences power consumer's power consumption experience. With the access of a large amount of distributed renewable energy sources, the uncertainty of the power flow of the power distribution network is increased, and the real-time power flow state of the power distribution network needs to be obtained through high-frequency power flow calculation, so that the safe, stable and economic operation of the power distribution network is ensured.
The patent document (CN 102593823B) provides a power distribution network online power flow calculation method based on a superposition principle, and online power flow calculation is carried out by using the result of offline power flow calculation and the superposition principle of a linear system; when the network structure and the operation mode of the power distribution network are fixed, firstly calculating voltage drop phasor caused by unit load current of each load node in each branch by using an offline power flow calculation result, and calculating the voltage drop phasor of each branch by using the superposition principle of a linear system according to the load current of each load node and the calculated voltage drop phasor caused by the unit load current of each load node in each branch when performing online power flow calculation, so as to further calculate voltage of each node, loss of each branch and power of each node/branch; or using the offline load flow calculation result to calculate the current phasor caused by the unit load current of each load node in each branch, and when performing online load flow calculation, calculating the current phasor passed by each branch by using the superposition principle of a linear system according to the load current of each load node and the calculated current phasor caused by the unit load current of each load node in each branch, and further calculating the voltage drop of each branch, the voltage of each node, the loss of each branch and the power of each node/branch.
The load flow calculation method is complex, the calculation capacity and the communication bandwidth of the power distribution network master station are limited, and for a large-scale power distribution network containing distributed renewable energy, high-frequency load flow calculation may bring excessive calculation and communication pressure to the master station, so that the real-time performance and accuracy of the load flow calculation are affected, the actual requirements of the high-frequency load flow calculation cannot be met, and even other services borne by the power distribution network master station are affected.
Disclosure of Invention
The invention provides a power distribution network load flow calculation method and system based on edge calculation, which can meet the high-frequency load flow calculation requirement and reduce the operation pressure of a power distribution network main station.
A power distribution network load flow calculation method based on edge calculation comprises the following steps:
networking the intelligent measuring terminals installed on each node of the power distribution network, and establishing communication connection between the intelligent measuring terminals and other intelligent measuring terminals at the upstream and the downstream of the intelligent measuring terminals respectively;
initializing each intelligent measuring terminal;
the following calculation is repeatedly performed until the amplitude and phase angle of the terminal voltage of each feeder segment converge: from the downstream to the upstream of the distribution network, the intelligent measuring terminal calculates the power flowing through the head end of each feeder line section in sequence, and from the upstream to the downstream of the distribution network, the intelligent measuring terminal calculates the tail end voltage of each feeder line section in sequence;
after the amplitude and the phase angle of the terminal voltage of each feeder line section are converged, each intelligent measurement terminal sends the last calculation result to the power distribution network main station.
Furthermore, each intelligent measurement terminal is provided with a unique identifier, and the unique identifiers of the intelligent measurement terminals on the upstream and downstream adjacent nodes of each intelligent measurement terminal are stored in advance in each intelligent measurement terminal;
the intelligent measurement terminal to be installed on each node of the power distribution network is networked, including:
the method comprises the steps that a power distribution master station sends a networking instruction to an intelligent measurement terminal on the most upstream node of a power distribution network;
the intelligent measuring terminal on the most upstream node searches the corresponding intelligent measuring terminal according to the networking command and the prestored unique identification of the intelligent measuring terminal on the downstream adjacent node, and establishes communication connection with the corresponding intelligent measuring terminal in a power carrier mode;
the intelligent measuring terminals which are in communication connection with the upstream generate networking instructions to be sent to the intelligent measuring terminals on the adjacent nodes of the downstream, and communication connection with the corresponding intelligent measuring terminals is established in a power carrier mode until all the intelligent measuring terminals are in communication connection with the intelligent measuring terminals of the upstream and downstream nodes.
Furthermore, each intelligent measuring terminal stores the resistance and reactance of the upstream adjacent feeder line segment of the node where the intelligent measuring terminal is located in advance;
initializing each intelligent measurement terminal, including:
each intelligent measurement terminal establishes a voltage amplitude variable, a voltage angle variable, an active power variable flowing through the head end of an upstream adjacent feeder line section and a reactive power variable flowing through the head end of an upstream adjacent feeder line section of the node where the intelligent measurement terminal is located, and assigns initial values to the voltage amplitude variable and the voltage angle variable.
Further, from distribution network downstream to upstream, intelligent measurement terminal calculates the power that flows through each feeder section head end in proper order, includes:
the downstream intelligent measuring terminal sends the calculated power data to the adjacent upstream intelligent measuring terminal;
after each intelligent measurement terminal receives power data sent by a downstream, adding the load power of the node where the intelligent measurement terminal is located and the received power data to obtain the power sum of the node where the corresponding intelligent measurement terminal is located and the downstream of the node;
the intelligent measurement terminal calculates the power loss of the upstream adjacent feeder section of the intelligent measurement terminal according to the sum of the power of the node and the downstream of the node, the resistance and the reactance of the upstream adjacent feeder section and the voltage amplitude of the node;
and the intelligent measuring terminal calculates the obtained power data according to the power loss and sends the power data to the adjacent upstream intelligent measuring terminal.
Further, the power data includes active power and reactive power, and the load power includes active power and reactive power of the load;
the power sum of the node where the intelligent measurement terminal is located and the downstream of the node is calculated by the following formula:
wherein ,Pi The active power sum Q of the node where the ith intelligent measurement terminal is located and the downstream of the node is represented i The sum of the reactive power of the node where the ith intelligent measuring terminal is located and the downstream of the node is shown,
is the set of all the intelligent measuring terminals at the downstream of the ith intelligent measuring terminal, P j,line Is the active power, Q, of the intelligent measuring terminal j at the downstream of the ith intelligent measuring terminal j,line Is the reactive power, P, of the intelligent measuring terminal j downstream of the ith intelligent measuring terminal i,load For the ith intelligent measurement terminal, the active power, Q, of the node load i,load The reactive power of the load of the node where the ith intelligent measurement terminal is located is measured;
the power loss is calculated by the following formula:
wherein ,Pi The sum of the active power Q of the node where the ith intelligent measurement terminal is located and the downstream of the node i The sum of reactive power P of the node where the ith intelligent measuring terminal is located and the downstream of the node i,loss Represents the active power loss, Q, of the adjacent feeder line section upstream of the ith intelligent measurement terminal i,loss Representing the reactive power loss, V, of the adjacent feeder section upstream of the ith intelligent measurement terminal i Represents the voltage amplitude R of the node where the ith intelligent measurement terminal is located i Represents the resistance, X, of the adjacent feeder section upstream of the node where the ith intelligent measurement terminal is located i Representing the reactance of the adjacent feeder line section at the upstream of the node where the ith intelligent measurement terminal is located;
the active power and the reactive power of the ith intelligent measuring terminal are calculated by the following formulas:
wherein ,Pi,line For the ith intelligent measurement terminal active power, Q i,line And the reactive power of the ith intelligent measurement terminal is obtained.
Further, from the distribution network upstream to downstream, the intelligent measurement terminal calculates the terminal voltage of each feeder section in turn, including:
the intelligent measuring terminal receives voltage phasor from an upstream adjacent intelligent measuring terminal;
the intelligent measurement terminal calculates the voltage drop on the upstream adjacent feeder section according to the sum of the power of the node and the downstream of the node and the resistance and reactance of the upstream adjacent feeder section;
and the intelligent measurement terminal calculates and stores the voltage phasor at the tail end of the upstream adjacent feeder line section of the node according to the voltage drop and the received voltage phasor.
Furthermore, the intelligent measuring terminal comprises an active power sum and a reactive power sum of the node where the intelligent measuring terminal is located and the downstream of the node according to the power sum of the node where the intelligent measuring terminal is located and the downstream of the node;
the voltage drop is calculated by the following equation:
wherein ,
the voltage drop P on the adjacent feeder line section at the upstream of the node where the ith intelligent measurement terminal is located in the current calculation i The active power sum Q of the node where the ith intelligent measurement terminal is located and the downstream of the node is represented i Represents the reactive power sum of the node where the ith intelligent measuring terminal is located and the downstream of the node, and->
The voltage phasor calculation result R of the node where the ith intelligent measurement terminal is located in the last calculation i Represents the resistance, X, of the feeder line segment adjacent to the node upstream of the ith intelligent measurement terminal i Representing the reactance of an adjacent feeder line section at the upstream of the node where the ith intelligent measurement terminal is located;
the voltage phasor is calculated by the following formula:
wherein ,
represents the voltage phasor at the tail end of the feeder section adjacent to the node where the ith intelligent measurement terminal is located, and/or is greater than or equal to>
Express the ith intelligenceThe voltage phase quantity received by the energy measuring terminal from the adjacent intelligent measuring terminal at the upstream is greater or less than>
The voltage drop on the adjacent feeder line section at the upstream of the node where the ith intelligent measurement terminal is located in the current calculation is obtained.
Further, the condition that the amplitude and the phase angle of the terminal voltage of each feeder section converge is as follows:
wherein ,Uthreshold In order to achieve a convergence threshold, the threshold,
calculating the voltage phasor obtained by the ith intelligent measurement terminal at the kth time; />
And the voltage phasor obtained by the ith intelligent measurement terminal in the k-1 th calculation is shown.
Further, after each calculation is finished, each intelligent measurement terminal calculates a module of the difference between the current and last voltage phasor calculation results, the calculation result of the module of the difference of the results is sent to the upstream intelligent measurement terminal from the downstream intelligent measurement terminal, after each intelligent measurement terminal receives the module of the difference of the results sent downstream, the intelligent measurement terminal compares the module of the difference of the results with the module of the difference of the results calculated by the intelligent measurement terminal, the maximum value of the comparison result is sent to the upstream adjacent intelligent measurement terminal, and the intelligent measurement terminal closest to the power distribution network master station sends the final maximum value obtained by the comparison to the power distribution network master station; the final maximum value is compared with a convergence threshold value by the power distribution network, if the maximum value is smaller than or equal to the convergence threshold value, calculation convergence is determined, an uploading instruction is generated and sent to each intelligent measuring terminal through the most upstream intelligent measuring terminal, and each intelligent measuring terminal sends power flowing through the head end and tail end voltage of each feeder line section to the intelligent measuring terminals upstream of the adjacent nodes according to the uploading instruction and finally sends the power and the tail end voltage to the power distribution network main station;
and if the final maximum value is larger than the convergence threshold value, continuing to execute the calculation.
The power distribution network load flow calculation system based on the edge calculation is applied to the method and is characterized by comprising a power distribution network main station and a plurality of intelligent measurement terminals, wherein the intelligent measurement terminals are installed on each node of the power distribution network;
networking the intelligent measuring terminals on each node, and establishing communication connection between the intelligent measuring terminals and other intelligent measuring terminals at the upstream and the downstream of the intelligent measuring terminals respectively;
initializing each intelligent measuring terminal;
the intelligent measurement terminal repeatedly performs the following calculation until the amplitude and the phase angle of the terminal voltage of each feeder line section converge: from the downstream to the upstream of the distribution network, the intelligent measuring terminal sequentially calculates the power flowing through the head end of each feeder line section, and from the upstream to the downstream of the distribution network, the intelligent measuring terminal sequentially calculates the tail end voltage of each feeder line section; after the amplitude and the phase angle of the terminal voltage of each feeder line section are converged, each intelligent measurement terminal sends the last calculation result to the power distribution network main station.
The power distribution network load flow calculation method and system based on edge calculation provided by the invention at least have the following beneficial effects:
(1) The advantages that the intelligent measurement terminals are close to a measurement data source of the power distribution network are exerted by combining the calculation and communication capabilities of the intelligent measurement terminals in the power distribution network, load flow calculation tasks which are completely performed at a power distribution network main station in the prior art are unloaded to each intelligent measurement terminal, the calculation and communication pressure of the power distribution network main station is relieved, and idle calculation resources of the intelligent terminals are efficiently utilized;
(2) Each intelligent measurement terminal participates in calculation, so that the calculation force is balanced, the high-frequency load flow calculation requirement can be met, and the operation pressure of a power distribution network main station is relieved.
Drawings
Fig. 1 is a flowchart of an embodiment of a power flow calculation method for a power distribution network based on edge calculation according to the present invention.
Fig. 2 is a schematic diagram of a power distribution network topology in an application scenario of the power distribution network load flow calculation method based on edge calculation provided by the present invention.
Fig. 3 is a networking schematic diagram in an application scenario of the power distribution network load flow calculation method based on edge calculation provided by the invention.
Fig. 4 is a schematic diagram of power calculation from downstream to upstream in an application scenario of the power flow calculation method for a power distribution network based on edge calculation provided by the present invention.
Fig. 5 is a schematic diagram of voltage calculation from upstream to downstream in an application scenario of the power flow calculation method for the power distribution network based on edge calculation provided by the invention.
Fig. 6 is a schematic diagram of convergence judgment in an application scenario of the power distribution network load flow calculation method based on edge calculation provided by the invention.
Fig. 7 is a schematic diagram of uploading instruction transmission in an application scenario of the power distribution network load flow calculation method based on edge calculation provided by the invention.
Fig. 8 is a schematic diagram of uploading a power flow calculation result in an application scenario of the power distribution network power flow calculation method based on edge calculation provided by the invention.
Detailed Description
In order to better understand the technical solution, the technical solution will be described in detail with reference to the drawings and the specific embodiments.
Referring to fig. 1, in some embodiments, there is provided a power distribution network load flow calculation method based on edge calculation, including:
s1, networking the intelligent measuring terminals installed on each node of a power distribution network, and establishing communication connection between the intelligent measuring terminals and other intelligent measuring terminals at the upstream and downstream of the intelligent measuring terminals respectively;
s2, initializing each intelligent measuring terminal;
s3, repeatedly executing the following calculation until the amplitude and the phase angle of the terminal voltage of each feeder line section converge: from the downstream to the upstream of the distribution network, the intelligent measuring terminal sequentially calculates the power flowing through the head end of each feeder line section, and from the upstream to the downstream of the distribution network, the intelligent measuring terminal sequentially calculates the tail end voltage of each feeder line section;
and S4, after the amplitude value and the phase angle of the terminal voltage of each feeder line section are converged, each intelligent measuring terminal sends the last calculation result to the power distribution network main station.
Each intelligent measuring terminal is provided with a unique identifier, and the unique identifiers of the intelligent measuring terminals on the upstream and downstream adjacent nodes of each intelligent measuring terminal are stored in advance in each intelligent measuring terminal;
specifically, in step S1, networking the intelligent measurement terminals installed on the nodes of the power distribution network, including:
s11, the power distribution master station sends a networking instruction to an intelligent measurement terminal on the most upstream node of the power distribution network;
s12, the intelligent measuring terminal on the most upstream node searches the corresponding intelligent measuring terminal according to the networking command and the prestored unique identification of the intelligent measuring terminal on the downstream adjacent node, and establishes communication connection with the corresponding intelligent measuring terminal in a power carrier mode;
and S13, the intelligent measuring terminals which are in communication connection with the upstream generate networking instructions and send the networking instructions to the intelligent measuring terminals on the adjacent nodes of the downstream, and the communication connection with the corresponding intelligent measuring terminals is established in a power carrier mode until all the intelligent measuring terminals are in communication connection with the intelligent measuring terminals of the upstream and downstream nodes.
Specifically, the intelligent measurement terminal is installed on each node of the power distribution network, and can measure the active power and the reactive power of a load connected with the node, but cannot measure the voltage; the intelligent measuring terminal can communicate with the adjacent intelligent measuring terminals in a power line carrier communication mode; the resistance and the reactance of an upstream adjacent feeder section of a node where the intelligent measuring terminal is located and the unique identification of the intelligent measuring terminal (a neighbor terminal) of the upstream adjacent node and the downstream adjacent node are stored in each intelligent measuring terminal in advance; the distribution network master station is positioned in a transformer substation at the head end of the distribution network and can communicate with an intelligent measurement terminal of a node closest to the transformer substation (most upstream) in the distribution network; the networking process of the intelligent measurement terminal comprises the steps that firstly, a power distribution network master station sends a networking instruction to the intelligent measurement terminal of the node at the most upstream of the power distribution network, and then the intelligent measurement terminal finds a neighbor terminal and establishes a communication link with the neighbor terminal according to a pre-stored unique identifier of the neighbor terminal by using a communication mode of a power line carrier; then, the terminal sends a networking instruction to a neighbor terminal, and the neighbor terminal searches for the own neighbor terminal in the same way and establishes a communication link; finally, the intelligent measurement terminal forms a communication network which is consistent with the topology of the power distribution network.
Furthermore, each intelligent measurement terminal stores the resistance and reactance of the adjacent feeder line section at the upstream of the node where the intelligent measurement terminal is located in advance.
In step S2, initializing each intelligent measurement terminal, including:
each intelligent measurement terminal establishes a voltage amplitude variable, a voltage phase angle variable, an active power variable flowing through the head end of an upstream adjacent feeder line section and a reactive power variable flowing through the head end of an upstream adjacent feeder line section of the node where the intelligent measurement terminal is located, and assigns initial values to the voltage amplitude variable and the voltage phase angle variable.
The initialization process of the intelligent measuring terminal is to establish a variable V in a computing device of the intelligent measuring terminal i 、θ i 、P i,line 、Q i,line Respectively representing the voltage amplitude and the voltage phase angle of the node where the intelligent measurement terminal i is positioned and the active power and the reactive power flowing through the head end of the adjacent feeder line section upstream of the intelligent measurement terminal i, and providing a variable V i 、θ i Setting an initial value: v i =1 p.u.，θ i =0°。
Further, in step S3, from downstream to upstream of the distribution network, the intelligent measurement terminal sequentially calculates power flowing through the head ends of the feeder sections, including:
s31, the downstream intelligent measuring terminal sends the power data obtained by calculation to an adjacent upstream intelligent measuring terminal;
s32, after each intelligent measurement terminal receives power data sent by the downstream, adding the load power of the node where the intelligent measurement terminal is located and the received power data to obtain the power sum of the node where the corresponding intelligent measurement terminal is located and the downstream;
s33, the intelligent measurement terminal calculates the power loss of the upstream adjacent feeder section of the intelligent measurement terminal according to the node and the power sum of the downstream of the node, the resistance and reactance of the upstream adjacent feeder section and the voltage amplitude of the node;
and S34, the intelligent measuring terminal calculates the obtained power data according to the power loss and sends the power data to the adjacent upstream intelligent measuring terminal.
Wherein the power data comprises active power and reactive power, and the load power comprises the active power and the reactive power of the load;
the power sum of the node where the intelligent measurement terminal is located and the downstream of the node is calculated by the following formula:
wherein ,Pi The active power sum Q of the node where the ith intelligent measurement terminal is located and the downstream of the node is represented i The sum of the reactive power of the node where the ith intelligent measuring terminal is located and the downstream of the node is shown,
is the set of all the intelligent measuring terminals at the downstream of the ith intelligent measuring terminal, P j,line Is the active power, Q, of the intelligent measuring terminal j at the downstream of the ith intelligent measuring terminal j,line Is the reactive power, P, of the intelligent measuring terminal j downstream of the ith intelligent measuring terminal i,load For the ith intelligent measurement terminal, the active power, Q, of the node load i,load The reactive power of the load of the node where the ith intelligent measurement terminal is located;
the power loss is calculated by the following formula:
wherein ,Pi The sum of the active power Q of the node where the ith intelligent measurement terminal is located and the downstream of the node i The sum of the reactive power P of the node where the ith intelligent measuring terminal is located and the downstream of the node i,loss Indicating the active power of the upstream adjacent feeder section of the ith intelligent measuring terminalRate loss, Q i,loss Representing the reactive power loss, V, of the adjacent feeder section upstream of the ith intelligent measurement terminal i Represents the voltage amplitude, R, of the node where the ith intelligent measurement terminal is located i Represents the resistance, X, of the feeder line segment adjacent to the node upstream of the ith intelligent measurement terminal i Representing the reactance of the adjacent feeder line section at the upstream of the node where the ith intelligent measurement terminal is located;
the active power and the reactive power of the ith intelligent measuring terminal are calculated through the following formulas:
wherein ,Pi,line For the i-th intelligent measurement terminal active power, Q i,line And the reactive power of the ith intelligent measurement terminal is obtained.
Further, in step S3, from upstream to downstream of the distribution network, the intelligent measurement terminal sequentially calculates the terminal voltage of each feeder line segment, including:
s35, the intelligent measuring terminal receives voltage phasor from an upstream adjacent intelligent measuring terminal;
s36, calculating the voltage drop on the upstream adjacent feeder line section by the intelligent measuring terminal according to the sum of the power of the node and the downstream of the node and the resistance and reactance of the upstream adjacent feeder line section;
and S37, the intelligent measurement terminal calculates and stores the voltage phasor at the tail end of the upstream adjacent feeder line section of the node according to the voltage drop and the received voltage phasor.
The intelligent measuring terminal comprises a node and a downstream power sum, wherein the node and the downstream power sum comprise an active power sum and a reactive power sum;
the voltage drop is calculated by the following equation:
wherein ,
the voltage drop P on the adjacent feeder line section at the upstream of the node where the ith intelligent measurement terminal is located in the current calculation i The active power sum Q of the node where the ith intelligent measurement terminal is located and the downstream of the node is represented i Represents the reactive power sum of the node where the ith intelligent measuring terminal is located and the downstream of the node, and->
The voltage phasor calculation result R of the node where the ith intelligent measurement terminal is located in the last calculation i Represents the resistance, X, of the adjacent feeder section upstream of the node where the ith intelligent measurement terminal is located i Representing the reactance of the adjacent feeder line section at the upstream of the node where the ith intelligent measurement terminal is located;
the voltage phasor is calculated by the following formula:
wherein ,
represents the voltage phase quantity at the tail end of the feeder line section adjacent to the node where the ith intelligent measurement terminal is located, and/or is combined with the voltage phase quantity at the tail end of the feeder line section adjacent to the node where the ith intelligent measurement terminal is located>
Represents the voltage phase quantity received by the ith intelligent measuring terminal from the adjacent upstream intelligent measuring terminal, and then is judged>
The voltage drop of the adjacent feeder line section at the upstream of the node where the ith intelligent measurement terminal is located in the current calculation is measured;
the voltage phasor may also be expressed as:
；V i represents the voltage amplitude, theta, of the ith intelligent measurement terminal i And the voltage phase angle of the ith intelligent measuring terminal is represented.
Further, in step S3, the condition that the amplitude and the phase angle of the terminal voltage of each feeder segment converge is as follows:
wherein ,Uthreshold In order to achieve a convergence threshold, the threshold,
for the voltage phase amount calculated by the ith intelligent measuring terminal at the kth time, based on the voltage phase amount calculated by the ith intelligent measuring terminal at the kth time, and based on the voltage phase amount calculated by the ith intelligent measuring terminal at the kth time>
The voltage phasor is represented by the voltage phasor calculated by the ith intelligent measurement terminal at the (k-1) th time.
Further, in step S4, after each calculation, each intelligent measurement terminal calculates a modulus of a difference between a current result and a last result of calculating voltage phasors, and sends a calculation result of the modulus of the difference between the current result and the last result to an upstream intelligent measurement terminal from a downstream intelligent measurement terminal, after each intelligent measurement terminal receives the modulus of the difference between the results sent downstream, each intelligent measurement terminal compares the modulus with the modulus of the difference between the results calculated downstream, and sends the maximum value of the difference with the modulus of the difference between the results sent downstream, to an upstream adjacent intelligent measurement terminal, until an intelligent measurement terminal closest to the distribution network master station sends the final maximum value obtained by the comparison to the distribution network master station; the final maximum value is compared with a convergence threshold value by the power distribution network, if the final maximum value is smaller than or equal to the convergence threshold value, calculation convergence is determined, an uploading instruction is generated and sent to each intelligent measuring terminal through the most upstream intelligent measuring terminal, and each intelligent measuring terminal sends power flowing through the head end and tail end voltage of each feeder line section to the intelligent measuring terminals on the upstream of the adjacent node according to the uploading instruction and finally sends the power and tail end voltage to the power distribution network main station;
if the final maximum value is greater than the convergence threshold, the calculation is continued.
The method provided by the embodiment is further explained by specific application scenarios.
Taking the power distribution network shown in fig. 2 as an example, the nodes 1,2,3, and 4 are all provided with intelligent measurement terminals, which can measure the active power and the reactive power of the loads L1, L2, L3, and L4 connected to the nodes, but cannot measure the voltage of the nodes. The four intelligent measurement terminals can communicate with each other in a power line carrier manner, and each terminal stores the resistance and reactance of the upstream adjacent feeder segment of the node where the terminal is located and the unique identifier of the upstream and downstream adjacent terminals in advance, as shown in table 1. The distribution network main station is located in a transformer substation at the head end of the distribution network and can communicate with a terminal (namely the intelligent measurement terminal 1) of a node closest to the transformer substation in the distribution network.
TABLE 1
The networking process of the intelligent measuring terminal comprises the following steps: as shown in fig. 3, the distribution network master station sends a networking instruction to the intelligent measurement terminal 1; the intelligent measuring terminal 1 establishes a communication link with a downstream neighbor node (intelligent measuring terminal 3) thereof and sends a networking instruction to the intelligent measuring terminal; the intelligent measuring terminal 3 establishes a communication link with the downstream neighbor nodes (intelligent measuring terminals 2 and 4) and sends networking instructions to the nodes; the intelligent measuring terminal 2 and the intelligent measuring terminal 4 have no downstream neighbor nodes, and networking is completed. The intelligent measuring terminals 1,2,3 and 4 form a communication network consistent with the topology of the power distribution network.
The initialization process of the intelligent measuring terminal is to establish variables in the computing deviceV i 、θ i 、P i,line 、Q i,line Respectively representing intelligent measuring terminalsi (i=1,2,3,4) and the voltage amplitude and the voltage phase angle of the node where the node is located, and the active power and the reactive power flowing through the head end of the upstream adjacent feeder line section, and the variables are givenV、θSetting an initial value:V i =1 p.u.，θ i =0°。
then, from downstream to upstream of the distribution network, the intelligent measurement terminal calculates the power flowing through the head end of each feeder section in turn, as shown in fig. 4, in the order: (1) an intelligent measuring terminal 2 and an intelligent measuring terminal 4; (2) an intelligent measuring terminal 3; (3) an intelligent measuring terminal 1; and (4) a master station.
Taking the intelligent measurement terminal 3 as an example, the intelligent measurement terminal 3 receives power data from the downstream neighbor terminals (the intelligent measurement terminals 2 and 4), and sums the power data with the power data of the load (the load L3) of the node where the intelligent measurement terminal is located to obtain the power of the node where the intelligent measurement terminal 3 is located and the downstream of the node, where the formula is as follows:
wherein ,
and />
For intelligent measuring terminal3The sum of the power at and downstream of the node>
、/>
、
and />
For the active/reactive power data received from the downstream neighbour terminals (intelligent metering terminals 2, 4),P 3,load andQ 3,load the active/reactive power of the load (load L3) being the node where the terminal 3 is located;
calculating the power loss on the adjacent feeder section at the upstream of the terminal 3 according to the node where the intelligent measurement terminal 3 is located and the downstream power and the resistance and the reactance of the adjacent feeder section at the upstream, and recording the power loss as the power loss on the adjacent feeder section at the upstream of the terminal 3P 3,loss AndQ 3,loss calculated according to the following formula:
wherein ,
and />
In the node of terminal 3 and the power downstream thereof>
and />
Adjacent feeder section upstream of the node where terminal 3 is located (feeder section [2]]) Resistance, reactance of (4)>
The voltage amplitude of the node where the terminal 3 is located;
the intelligent measuring terminal 3 calculates the upstream adjacent feeder line segment (feeder line segment [2]]) Active and reactive power of the head endP 3,line AndQ 3,line and sends it to its upstream neighbor terminal (intelligent measurement terminal 1), and calculates according to the following formula:
then, from upstream to downstream of the distribution network, the intelligent measurement terminal calculates the terminal voltage of each feeder line segment in turn, as shown in fig. 5, in the following order: (1) a power distribution network master station; (2) an intelligent measuring terminal 1; (3) an intelligent measuring terminal 3; and (1) the intelligent measuring terminal 2 and the intelligent measuring terminal 4.
Taking the intelligent measurement terminal 3 as an example, the voltage data received by the intelligent measurement terminal 3 from the upstream neighbor terminal (the intelligent measurement terminal 1) is recorded as
；
The intelligent measuring terminal 3 is based onP 3 、Q 3 And an upstream adjacent feeder section (feeder section [2]]) The voltage drop on the adjacent feeder line section at the upstream is calculated
Push and press asThe following formula calculates:
wherein ,
for the forward-backward generation of the intelligent measurement terminal 3, the adjacent feeder section (feeder section [2 ]) at the upstream of the node]) The result of the calculation of the voltage drop over->
and />
For the power of the node in which the terminal 3 is located and downstream thereof, and>
the calculation result of the voltage phasor of the node where the intelligent measuring terminal 3 is located in the previous calculation is judged, and then the voltage phasor is judged>
and />
Adjacent feeder section (feeder section [2 ]) upstream of the node where terminal 3 is located]) Resistance, reactance of (d);
the intelligent measurement terminal 3 calculates the voltage of the node where the intelligent measurement terminal is located according to the following formula:
calculating the voltage phasor of the current calculation
Of (2) is obtainedV 3 Angle of sumθ 3 Stored in the smart metering terminal 3.
Repeating the calculation until the amplitude and phase angle of the terminal voltage of each feeder line section are converged under the condition of convergence
wherein ,
is at the firstkNode obtained in next generation calculationiThe voltage phasor of (a); />
For the convergence threshold, 1e-5 p.u. is typically taken;
after each forward-backward generation is finished, each intelligent measurement terminal calculates a module of the difference between voltage phasor calculation results obtained by the forward-backward generation and the previous forward-backward generation, and then the maximum value of the module of the difference between the two calculation results of each node is uploaded to a master station from a downstream terminal to an upstream terminal; as shown in FIG. 6, the specific process is that the smart metering terminal 2 and the smart metering terminal 4 will perform
and />
Uploading to the intelligent measuring terminal 3; intelligent measuring terminal 3 compares->
、
、/>
Selecting the maximum value, and uploading the maximum value to the intelligent measuring terminal 1; the intelligent measuring terminal 1 measures more intelligently maximum sum uploaded at terminal 3>
And selecting the maximum value of the values and uploading the maximum value to the master station.
The distribution network master station compares whether the maximum value exceeds the maximum value
If not, the calculation is determined to be converged and the process is endedCalculating, and starting to upload a calculation result; otherwise, judging that the calculation is not converged, and continuing the next calculation.
Finally, before the power distribution network master station judges, pushing back the generation calculation and converging, the power distribution network master station sends an uploading instruction to the most upstream intelligent measuring terminal (intelligent measuring terminal 1); then, by using a network between the intelligent measurement terminals, an upload instruction is transmitted to each intelligent terminal from upstream to downstream, as shown in fig. 7, the upload instruction is transmitted to the intelligent measurement terminal 1 from the distribution network master station, is transmitted to the intelligent measurement terminal 3 from the intelligent measurement terminal 1, and is transmitted to the intelligent measurement terminals 2 and 4 from the intelligent measurement terminal 3; after each intelligent measurement terminal receives the uploading instruction, the calculation results of the power flowing through the head end of each feeder line section and the tail end voltage of each feeder line section in the last calculation are sent to the upstream neighbor nodes, the calculation results of the power and the voltage of each terminal are uploaded in a relay mode from downstream to upstream, and finally the calculation results are uploaded to a power distribution network main station, as shown in fig. 8, the intelligent measurement terminals 2 and 4 upload the calculation results of the voltage of the nodes 2 and 4 in the last calculation and the head end power of the feeder line sections [3], [4] to the intelligent measurement terminal 3, the intelligent measurement terminal 3 uploads the calculation results of the voltage of the nodes 2,3 and 4 in the last calculation and the head end power of the feeder line sections [2], [3] and [4] to the intelligent measurement terminal 1, and the intelligent measurement terminal 1 uploads the calculation results of the voltage of the nodes 1,2,3 and 4 in the last forward generation and the calculation results of the head end power of the feeder line sections [1], [2], [3], [4] to the power distribution network main station.
In some embodiments, a power distribution network load flow calculation system based on edge calculation applied to the method is further provided, and includes a power distribution network master station and a plurality of intelligent measurement terminals, where the plurality of intelligent measurement terminals are installed on each node of a power distribution network;
networking the intelligent measuring terminals on each node, and establishing communication connection between the intelligent measuring terminals and other intelligent measuring terminals at the upstream and the downstream of the intelligent measuring terminals respectively;
initializing each intelligent measuring terminal;
the intelligent measurement terminal repeatedly performs the following calculation until the amplitude and the phase angle of the terminal voltage of each feeder line section converge: from the downstream to the upstream of the distribution network, the intelligent measuring terminal sequentially calculates the power flowing through the head end of each feeder line section, and from the upstream to the downstream of the distribution network, the intelligent measuring terminal sequentially calculates the tail end voltage of each feeder line section; after the amplitude and the phase angle of the terminal voltage of each feeder line section are converged, each intelligent measurement terminal sends the last calculation result to the power distribution network main station.
The method and the system for calculating the power flow of the power distribution network based on the edge calculation, provided by the embodiment, at least have the following beneficial effects:
(1) The method has the advantages that the computing and communication capabilities of the intelligent measuring terminals in the power distribution network are combined, the advantage that the intelligent measuring terminals are close to a power distribution network measuring data source is exerted, the load flow computing task which is completely performed at a power distribution network main station in the prior art is unloaded to each intelligent measuring terminal, the computing and communication pressure of the power distribution network main station is relieved, and idle computing resources of the intelligent terminals are efficiently utilized;
(2) Each intelligent measurement terminal participates in calculation, so that the calculation force is balanced, the high-frequency load flow calculation requirement can be met, and the operation pressure of a power distribution network main station is relieved.
While preferred embodiments of the present invention have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. Therefore, it is intended that the appended claims be interpreted as including preferred embodiments and all such alterations and modifications as fall within the scope of the invention. It will be apparent to those skilled in the art that various changes and modifications may be made in the present invention without departing from the spirit and scope of the invention. Thus, if such modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include such modifications and variations.
Claims (10)
1. A power distribution network load flow calculation method based on edge calculation is characterized by comprising the following steps:
networking the intelligent measuring terminals installed on each node of the power distribution network, and establishing communication connection between the intelligent measuring terminals and other intelligent measuring terminals at the upstream and downstream of the intelligent measuring terminals respectively;
initializing each intelligent measuring terminal;
repeatedly executing the following calculation until the amplitude and the phase angle of the terminal voltage of each feeder section converge: from the downstream to the upstream of the distribution network, the intelligent measuring terminal sequentially calculates the power flowing through the head end of each feeder line section, and from the upstream to the downstream of the distribution network, the intelligent measuring terminal sequentially calculates the tail end voltage of each feeder line section;
after the amplitude and the phase angle of the terminal voltage of each feeder line section are converged, each intelligent measurement terminal sends the last calculation result to the power distribution network main station.
2. The method according to claim 1, wherein each smart metering terminal is provided with a unique identifier, and each smart metering terminal pre-stores the unique identifiers of the smart metering terminals on its upstream and downstream neighboring nodes;
the intelligent measurement terminal that will install on each node of distribution network carries out the network deployment, includes:
the method comprises the steps that a power distribution master station sends a networking instruction to an intelligent measurement terminal on the most upstream node of a power distribution network;
the intelligent measuring terminal on the most upstream node searches the corresponding intelligent measuring terminal according to the networking command and the prestored unique identification of the intelligent measuring terminal on the downstream adjacent node, and establishes communication connection with the corresponding intelligent measuring terminal in a power carrier mode;
the intelligent measuring terminals which are in communication connection with the upstream generate networking instructions to be sent to the intelligent measuring terminals on the adjacent nodes of the downstream, and communication connection with the corresponding intelligent measuring terminals is established in a power carrier mode until all the intelligent measuring terminals are in communication connection with the intelligent measuring terminals of the upstream and downstream nodes.
3. The method of claim 1, wherein each smart measurement terminal pre-stores the resistance and reactance of the upstream adjacent feeder segment of the node at which it is located;
initializing each intelligent measurement terminal, including:
each intelligent measurement terminal establishes a voltage amplitude variable, a voltage angle variable, an active power variable flowing through the head end of an upstream adjacent feeder line section and a reactive power variable flowing through the head end of an upstream adjacent feeder line section of the node where the intelligent measurement terminal is located, and assigns initial values to the voltage amplitude variable and the voltage angle variable.
4. The method of claim 3, wherein the smart metering terminal sequentially calculates power flowing through the head ends of each feeder section from downstream to upstream of the distribution network, comprising:
the downstream intelligent measuring terminal sends the calculated power data to the adjacent upstream intelligent measuring terminal;
after each intelligent measurement terminal receives power data sent by a downstream, adding the load power of the node where the intelligent measurement terminal is located and the received power data to obtain the power sum of the node where the corresponding intelligent measurement terminal is located and the downstream of the node;
the intelligent measurement terminal calculates the power loss of the upstream adjacent feeder section of the intelligent measurement terminal according to the sum of the power of the node and the downstream of the node, the resistance and the reactance of the upstream adjacent feeder section and the voltage amplitude of the node;
and the intelligent measuring terminal calculates the obtained power data according to the power loss and sends the power data to the adjacent upstream intelligent measuring terminal.
5. The method of claim 4, wherein the power data includes active power and reactive power, and the load power includes active power and reactive power of a load;
the power sum of the node where the intelligent measurement terminal is located and the downstream of the node is calculated by the following formula:
wherein ,Pi The sum of the active power Q of the node where the ith intelligent measurement terminal is located and the downstream of the node i Denotes the firstThe reactive power sum of the node where the i intelligent measurement terminals are located and the downstream of the node,
is the set of all the intelligent measuring terminals at the downstream of the ith intelligent measuring terminal, P j,line Is the active power, Q, of the intelligent measuring terminal j at the downstream of the ith intelligent measuring terminal j,line Is the reactive power, P, of the intelligent measuring terminal j downstream of the ith intelligent measuring terminal i,load For the ith intelligent measurement terminal, the active power, Q, of the node load i,load The reactive power of the load of the node where the ith intelligent measurement terminal is located is measured;
the power loss is calculated by the following formula:
wherein ,Pi The sum of the active power Q of the node where the ith intelligent measurement terminal is located and the downstream of the node i The sum of reactive power P of the node where the ith intelligent measuring terminal is located and the downstream of the node i,loss Represents the active power loss, Q, of the adjacent feeder line section upstream of the ith intelligent measurement terminal i,loss Representing the reactive power loss, V, of the adjacent feeder section upstream of the ith intelligent measurement terminal i Represents the voltage amplitude R of the node where the ith intelligent measurement terminal is located i Represents the resistance, X, of the adjacent feeder section upstream of the node where the ith intelligent measurement terminal is located i Representing the reactance of an adjacent feeder line section at the upstream of the node where the ith intelligent measurement terminal is located;
the active power and the reactive power of the ith intelligent measuring terminal are calculated through the following formulas:
wherein ,Pi,line For the ith intelligent measurement terminal active power, Q i,line And the reactive power of the ith intelligent measurement terminal is obtained.
6. The method of claim 4, wherein calculating the terminal voltage of each feeder section sequentially from upstream to downstream of the distribution network by the smart metering terminal comprises:
the intelligent measuring terminal receives voltage phasor from an upstream adjacent intelligent measuring terminal;
the intelligent measurement terminal calculates the voltage drop on the upstream adjacent feeder line section according to the power sum of the node and the downstream of the node and the resistance and the reactance of the upstream adjacent feeder line section;
and the intelligent measurement terminal calculates and stores the voltage phasor at the tail end of the upstream adjacent feeder line section of the node according to the voltage drop and the received voltage phasor.
7. The method of claim 6, wherein the power sums at the node where the intelligent measurement terminal is located and downstream thereof comprise active power sums and reactive power sums at the node where the intelligent measurement terminal is located and downstream thereof;
the voltage drop is calculated by the following equation:
wherein ,
the voltage drop P of the adjacent feeder line section at the upstream of the node where the ith intelligent measurement terminal is located in the current calculation i The sum of the active power Q of the node where the ith intelligent measurement terminal is located and the downstream of the node i Represents the reactive power sum of the node where the ith intelligent measuring terminal is located and the downstream of the node, and->
The voltage phasor calculation result R of the node where the ith intelligent measurement terminal is located in the last calculation i Represents the resistance, X, of the adjacent feeder section upstream of the node where the ith intelligent measurement terminal is located i Indicating the node where the ith intelligent measurement terminal is locatedReactance of an upstream adjacent feeder segment;
the voltage phasor is calculated by the following formula:
wherein ,
represents the voltage phase quantity at the tail end of the feeder line section adjacent to the node where the ith intelligent measurement terminal is located, and/or is combined with the voltage phase quantity at the tail end of the feeder line section adjacent to the node where the ith intelligent measurement terminal is located>
Represents the voltage phase quantity received by the ith intelligent measuring terminal from the adjacent upstream intelligent measuring terminal, and then is judged>
The voltage drop on the adjacent feeder line section at the upstream of the node where the ith intelligent measurement terminal is located in the current calculation is obtained.
8. The method of claim 7, wherein the condition that the amplitude and phase angle of the terminal voltage of each feeder segment converge is:
wherein ,Uthreshold In order to achieve the threshold value of convergence,
calculating the voltage phasor obtained by the ith intelligent measurement terminal at the kth time;
and the voltage phasor obtained by the ith intelligent measurement terminal in the k-1 th calculation is shown.
9. The method of claim 8, wherein after each calculation is finished, each intelligent measurement terminal calculates a modulus of a difference between a current result and a last result of calculating the voltage phasor, and transmits a calculation result of the modulus of the difference between the current result and the last result from a downstream intelligent measurement terminal to an upstream intelligent measurement terminal, and after each intelligent measurement terminal receives the modulus of the difference between the results transmitted downstream, each intelligent measurement terminal compares the modulus with the modulus of the difference between the results calculated by the intelligent measurement terminal and transmits the maximum value of the difference with the modulus of the difference between the results transmitted downstream, and the intelligent measurement terminal closest to the main station of the distribution network transmits the final maximum value obtained by the comparison to the main station of the distribution network; the final maximum value is compared with a convergence threshold value by the power distribution network, if the final maximum value is smaller than or equal to the convergence threshold value, calculation convergence is determined, an uploading instruction is generated and sent to each intelligent measuring terminal through the most upstream intelligent measuring terminal, and each intelligent measuring terminal sends power flowing through the head end and tail end voltage of each feeder line section to the intelligent measuring terminals on the upstream of the adjacent node according to the uploading instruction and finally sends the power and tail end voltage to the power distribution network main station;
if the final maximum value is greater than the convergence threshold, the calculation is continued.
10. An edge calculation-based power flow calculation system of a power distribution network, applied to the method according to any one of claims 1 to 9, characterized by comprising a power distribution network master station and a plurality of intelligent measurement terminals, wherein the plurality of intelligent measurement terminals are installed on each node of the power distribution network;
networking the intelligent measuring terminals on each node, and establishing communication connection between the intelligent measuring terminals and other intelligent measuring terminals at the upstream and the downstream of the intelligent measuring terminals respectively;
initializing each intelligent measuring terminal;
the intelligent measurement terminal repeatedly performs the following calculation until the amplitude and the phase angle of the terminal voltage of each feeder line section converge: from the downstream to the upstream of the distribution network, the intelligent measuring terminal sequentially calculates the power flowing through the head end of each feeder line section, and from the upstream to the downstream of the distribution network, the intelligent measuring terminal sequentially calculates the tail end voltage of each feeder line section; after the amplitude and the phase angle of the terminal voltage of each feeder line section are converged, each intelligent measurement terminal sends the last calculation result to the power distribution network main station.
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| CN101515716A (en) * | 2009-04-03 | 2009-08-26 | 天津大学 | Current protection method of feeder line containing distributed power |
| CN103336876A (en) * | 2013-07-23 | 2013-10-02 | 国家电网公司 | Open loop distribution network power flow simulation method based on multi-agents |
| CN104393595A (en) * | 2014-12-05 | 2015-03-04 | 华北电力大学 | Power flow scheduling method of power distribution network |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN101515716A (en) * | 2009-04-03 | 2009-08-26 | 天津大学 | Current protection method of feeder line containing distributed power |
| CN103336876A (en) * | 2013-07-23 | 2013-10-02 | 国家电网公司 | Open loop distribution network power flow simulation method based on multi-agents |
| CN104393595A (en) * | 2014-12-05 | 2015-03-04 | 华北电力大学 | Power flow scheduling method of power distribution network |
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