CN111987720A - Method for evaluating power receiving and power supply margin intervals of receiving-end power grid under constraint of multichannel quota - Google Patents

Method for evaluating power receiving and power supply margin intervals of receiving-end power grid under constraint of multichannel quota Download PDF

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CN111987720A
CN111987720A CN202010872637.5A CN202010872637A CN111987720A CN 111987720 A CN111987720 A CN 111987720A CN 202010872637 A CN202010872637 A CN 202010872637A CN 111987720 A CN111987720 A CN 111987720A
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receiving
node
power
power grid
load
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CN111987720B (en
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周挺
戴玉臣
罗凯明
徐伟
罗建裕
任先成
刘林
张金龙
查显煜
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State Grid Jiangsu Electric Power Co Ltd
Nari Technology Co Ltd
NARI Nanjing Control System Co Ltd
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Nari Technology Co Ltd
NARI Nanjing Control System Co Ltd
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Abstract

The invention discloses a method for evaluating the power receiving and power supply margin intervals of a receiving-end power grid under the constraint of multichannel quota, belonging to the technical field of power systems and automation thereof. The method comprises the steps of considering the stable quota of a plurality of power receiving channels of a receiving end power grid, establishing a linear programming calculation model of the maximum electrode limit and the minimum power receiving limit of the receiving end power grid, solving the linear programming model to obtain the maximum power receiving limit and the minimum power receiving limit of the receiving end power grid which meet the requirements that all channels are not out of limit, and calculating the power supply margin interval of the receiving end power grid based on the maximum power receiving limit and the minimum power receiving limit of the power receiving channels. According to the method, the power supply margin interval of the receiving-end power grid supplied with power through multiple power transmission channels is calculated, so that a basis is provided for improving the power supply capacity and guaranteeing safe operation of the receiving-end power grid.

Description

Method for evaluating power receiving and power supply margin intervals of receiving-end power grid under constraint of multichannel quota
Technical Field
The invention belongs to the technical field of power system automation, and particularly relates to a method for evaluating power receiving and power supply margin intervals of a receiving-end power grid under the constraint of multichannel quota.
Background
The receiving end power grid is a power system which takes a load concentration area as a center, including an area and adjacent power plants, and connects the load and the power sources together by a denser power network. Along with economic development in recent years, the electric load scale of a receiving-end power grid is rapidly increased, and the difficulty of guaranteeing the power supply reliability is increased continuously while the power receiving capacity of the receiving-end power grid is improved. The real-time evaluation of the power supply margin interval of the receiving-end power grid is beneficial to knowing the reliable operation interval of the receiving-end power grid in real time, adjusting the operation mode of the power grid in time and accurately making a control scheme.
The power supply margin of the receiving-end power grid is mainly constrained by factors such as the power transmission capacity of the alternating current and direct current receiving channel, the load level and installed capacity of the receiving-end power grid. The patent "a method and system for obtaining regional electric network power receiving capacity" (CN201910202455) gives the ratio of the power flow transfer value caused on other lines after a certain line of power transmission section has a fault to the maximum power transmission power of the line, obtains the line fragility factor, and can determine the most serious fault and the weakest line of the system according to the size of the line fragility factor. The patent "a receiving end power grid external power receiving capacity analysis method" (CN201811530866) provides a general receiving end power grid external power receiving capacity analysis method, which gradually adjusts a generator set and a load, and performs static security check and transient stability check on weak power grid element sets one by one. The existing method calculates the power receiving limit of the receiving-end power grid, aims at the weakest channel in a specified mode, carries out power transmission limit calculation according to a set adjustment mode, cannot provide the maximum and minimum power receiving limits of the receiving-end power grid integrating stable limits of a plurality of power transmission channels, and cannot support adjustment of modes of improving power receiving capacity and guaranteeing safe operation.
Disclosure of Invention
The invention aims to provide a receiving end power grid power receiving capacity evaluation method under the constraint of multi-channel quota aiming at the problem that the maximum and minimum power receiving limits of a receiving end power grid integrating stable quota of a plurality of power transmission channels cannot be given by calculating the power receiving limits of the receiving end power grid aiming at the weakest channel under a specified mode in the prior art.
In order to achieve the technical purpose, the invention adopts the following technical scheme.
Determining a related power transmission channel set and a stable quota of each power transmission channel aiming at a specified receiving end power grid, and acquiring a whole-grid power generation group node, a load node and a direct current converter station node;
respectively calculating the active sensitivity of each generator group node, each load node and each direct current converter station node of the whole network to each transmission channel of the receiving-end power grid, and determining a sending-end generator group node, a receiving-end load node and a receiving-end direct current converter station node according to the active sensitivity;
and taking into account the stable quota of each power transmission channel, the upper and lower limits of active power regulation of the generator set node and the load node, and the power balance constraint, respectively establishing a maximum power receiving limit linear programming calculation model and a minimum power receiving limit linear programming calculation model of the receiving-end power grid, and solving to obtain the maximum power receiving limit and the minimum power receiving limit of the receiving-end power grid.
In order to scientifically and accurately evaluate the power supply margin interval of the receiving-end power grid and provide reference for safe and stable operation of the receiving-end power grid, the invention provides a method for evaluating the power supply margin interval of the receiving-end power grid under the constraint of multi-channel quota, which comprises the following steps:
determining a related power transmission channel set and a stable limit of each power transmission channel aiming at a specified receiving end power grid, and acquiring a node set H of a rectification station in the whole gridzlAnd inversion station node set HnbDetermining nodes of a power generation group, load nodes and nodes of a direct current converter station of the whole network;
respectively calculating the active sensitivity of each generator group node, each load node and each direct current converter station node of the whole network to each transmission channel of the receiving-end power grid, and determining a sending-end generator group node, a receiving-end load node and a receiving-end direct current converter station node according to the active sensitivity;
taking into account the stable quota of each power transmission channel, the active power regulation upper and lower limits of the generator set node and the load node, and the power balance constraint, respectively establishing a maximum power receiving limit linear programming calculation model and a minimum power receiving limit linear programming calculation model of the receiving-end power grid, and solving to obtain the maximum power receiving limit and the minimum power receiving limit of the receiving-end power grid;
and calculating a receiving-end power grid power supply margin interval based on the maximum power receiving limit and the minimum power receiving limit of the receiving-end power grid obtained by solving, and the load power, the direct-current running power and the installed capacity in the receiving-end power grid in the current running mode.
Compared with the prior art, the invention has the following beneficial technical effects:
the method utilizes the sensitivity of the node to the electricity receiving channel set to identify the unit, the load and the power transmission/receiving end power grid where the converter station is positioned, fully considers the stable quota, the installed capacity and the load growth condition of the electricity receiving channel, establishes the linear programming model of the maximum and minimum electricity receiving limit of the receiving end power grid, can scientifically and accurately evaluate the electricity receiving capacity and the power supply margin interval of the receiving end power grid, and provides reference for the safe and stable operation of the receiving end power grid.
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FIG. 1 is a flow chart of an embodiment of the present invention.
Detailed Description
The present invention will be described in further detail with reference to the following examples and the accompanying drawings.
The embodiment I is a receiving end power grid power receiving capacity evaluation method under the constraint of multi-channel quota, and the method comprises the following steps: determining a related power transmission channel set and a stable quota of each power transmission channel aiming at a specified receiving end power grid, and acquiring a whole-grid power generation group node and a load node;
respectively calculating the active sensitivity of each generator group node and each load node of the whole network to each power transmission channel of the receiving-end power grid, and determining a sending-end generator group node, a receiving-end generator group node and a receiving-end load node according to the active sensitivity;
and taking into account the stable quota of each power transmission channel, the active power regulation upper and lower limits of a transmitting end power generation set node and a receiving end load node and power balance constraints, respectively establishing a maximum power receiving limit linear programming calculation model and a minimum power receiving limit linear programming calculation model of a receiving end power grid, and solving to obtain the maximum power receiving limit and the minimum power receiving limit of the receiving end power grid.
In this embodiment, optionally, current operation state power flow data of the power grid is generated based on the SCADA and the state estimation information, and a power transmission channel set associated with the receiving-end power grid and a stable quota of each power transmission channel are determined according to the current operation state power flow data of the power grid.
The active sensitivity of each generator group node, each load node and each direct current converter station node of the whole network to each transmission channel of the receiving-end power grid is calculated by the following method:
calculating the active sensitivity beta of a node i to a branch k by using a formula (1)i-k
Figure BDA0002651623500000041
In the above formula, UkIs the voltage modulus at the head end of branch k,
Figure BDA0002651623500000042
is the voltage phase angle, U, of the head end of branch kiIs the voltage modulus of the node i,
Figure BDA0002651623500000043
is the phase angle of the voltage at node i, λi-kThe degree of correlation between the current of the branch k and the current injected into the node i;
the calculation method of the correlation matrix of the branch current and the node injection current is shown in the formula (2),
Figure BDA0002651623500000044
in the above formula, YBIs a branch admittance matrix, YNIs a node admittance matrix, A is a node incidence matrix;
through formula (3), a power transmission channel T of a node i pair is calculatedkActive sensitivity
Figure BDA0002651623500000045
Figure BDA0002651623500000051
2-3) through formula (4), node i is used for collecting T active sensitivity of power transmission channel set associated with receiving-end power gridi-T
Figure BDA0002651623500000052
The specific method for determining the node of the sending-end generator set, the node of the receiving-end load and the node of the receiving-end direct-current converter station through the active sensitivity is as follows:
2-1) if the node i of the generating set is opposite to the receiving end power gridAssociated power transmission channel set T active sensitivity betai-TIf the number is positive, the node i of the generator set is in the power grid at the sending end, i belongs to GsOtherwise, the generator set i is in the receiving end power grid, i belongs to GrWherein G issFor a node set, G, of a generator set of a transmitting-end power gridrA receiving end power grid generator set node set is obtained;
2-2) if the load node i is in the set T of active sensitivities of the transmission channels associated with the receiving end power gridi-TIf the load node is negative, the load node i is in the receiving end power grid, i belongs to LrOtherwise, the load node i is in the sending end power grid, i belongs to Ls,LrIs a collection of receiving end grid load nodes, LsA load node set of a sending end power grid;
2-3) optionally, acquiring nodes of the full-network direct current converter station, wherein the nodes i of the direct current converter station have active sensitivity beta to a transmission channel set T associated with a receiving-end power gridi-TDetermined by equation (1). If the node i of the direct current converter station has active sensitivity beta to the transmission channel set T associated with the receiving-end power gridi-TIf the current is positive, the converter station node i is in the sending end power grid, i belongs to HsOtherwise, the converter station node i is in the receiving end power grid, i belongs to Hr,HsFor a set of converter station nodes of the transmitting-end power grid, HrIs a receiving end power grid converter station node set.
The maximum power receiving limit linear programming calculation model and the minimum power receiving limit linear programming calculation model of the receiving-end power grid are respectively expressed as follows:
maximum power receiving limit of receiving-end power grid
Figure BDA0002651623500000053
Linear programming computational model:
Figure BDA0002651623500000061
in the above formula, the first and second carbon atoms are,
Figure BDA0002651623500000062
calculating the sum of the data active power for the current power flow of the transmission channel set T,
Figure BDA0002651623500000063
for power transmission channel TkOf the initial active power of betag-TFor the active sensitivity of the node where the generator set g is located to the set of power transmission channels T,
Figure BDA0002651623500000064
for generator set g node pair transmission channel TkThe active sensitivity of the light source is improved,
Figure BDA0002651623500000065
is the initial active output, Δ P, of the generator set ggFor active adjustment of generator set g, Pg,maxIs the upper limit of the output of the unit g, Pg,minIs the lower limit of the output, beta, of the unit gl-TFor the active sensitivity of the load l to the set T of transmission channels,
Figure BDA0002651623500000066
for load l pairs of transmission channels TkActive sensitivity of (2), Pl 0Is the initial active power of the load l, Δ PlFor active adjustment of the load l, Pl,maxAt the upper limit of the load l, Pl,minLower limit of load l, klossThe coefficient of the network loss is taken as the coefficient of the network loss,
Figure BDA0002651623500000067
for each power transmission channel TkStable quota of GsA node set of a power generation group of a sending end power grid;
minimum receiving limit of receiving end power grid
Figure BDA0002651623500000068
Linear programming computational model:
Figure BDA0002651623500000071
second line
Figure BDA0002651623500000072
Any one transmission channel T representing receiving end power gridjOut-of-limit;
third row formula
Figure BDA0002651623500000073
Tk∈T&k ≠ j denotes except for the power transmission channel TjAll other power transmission channels are not out of limit.
The method for solving the minimum power receiving limit of the receiving-end power grid comprises the following steps:
aiming at each power transmission channel T in power transmission channel set T associated with receiving-end power gridjSuccessively updating the constraint conditions in the step (6) and solving each channel TjThe minimum value of the power supply power when the critical limit is exceeded is taken as the minimum power supply limit of the receiving-end power grid on the basis of the minimum value of the power supply power when the critical limit is exceeded of each channel
Figure BDA0002651623500000074
The invention takes the stable quota of a plurality of power receiving channels of the receiving-end power grid into consideration, establishes the maximum and minimum power receiving limit linear programming calculation model of the receiving-end power grid, obtains the maximum and minimum power receiving limits of the receiving-end power grid which meet the requirements that all channels are not out of limit by solving the linear programming model, can scientifically and accurately evaluate the power receiving capability of the receiving-end power grid, and ensures the adjustment of a safe operation mode.
The second embodiment provides a receiving-end power grid power supply margin interval evaluation method under the constraint of multi-channel quota (step is shown in fig. 1), which includes the following steps:
determining a related power transmission channel set and a stable limit of each power transmission channel aiming at a specified receiving end power grid, and acquiring a node set H of a rectification station in the whole gridzlAnd inversion station node set HnbDetermining nodes of a power generation group, load nodes and nodes of a direct current converter station of the whole network;
respectively calculating the active sensitivity of each generator group node, each load node and each direct current converter station node of the whole network to each transmission channel of the receiving-end power grid, and determining a sending-end generator group node, a receiving-end load node and a receiving-end direct current converter station node according to the active sensitivity;
taking into account the stable quota of each power transmission channel, the active power regulation upper and lower limits of the generator set node and the load node, and the power balance constraint, respectively establishing a maximum power receiving limit linear programming calculation model and a minimum power receiving limit linear programming calculation model of the receiving-end power grid, and solving to obtain the maximum power receiving limit and the minimum power receiving limit of the receiving-end power grid;
and calculating a receiving-end power grid power supply margin interval based on the maximum power receiving limit and the minimum power receiving limit of the receiving-end power grid obtained by solving, and the load power, the direct-current running power and the installed capacity in the receiving-end power grid in the current running mode.
The embodiment specifically includes: the steps are shown in figure 1:
step 1 in fig. 1 describes that current operating state load flow data of the power grid is generated based on SCADA and state estimation information, and an associated power transmission channel set T and a stable quota of each power transmission channel are determined for a specific receiving end power grid
Figure BDA0002651623500000081
Obtaining a node set H of a rectification station in a power gridzlAnd inversion station node set Hnb
Step 2 in fig. 1 describes that the active sensitivities of the generator set node, the load node, and the converter station node of the whole grid to each transmission channel of the receiving-end power grid are calculated, and the sending-receiving terminal set node, the receiving-end load node, and the receiving-end direct-current converter station node are determined by the sensitivities.
The active sensitivity of the full-network generator set, the load and the converter station node to each power transmission channel of the receiving-end power grid is calculated by the following method:
2-1) calculating the active sensitivity beta of the node i to the branch k by the formula (1)i-k
Figure BDA0002651623500000091
In the above formula, UkAnd
Figure BDA0002651623500000092
for the modulus and phase angle of the voltage at the head end of branch k, UiAnd
Figure BDA0002651623500000093
is the voltage modulus and phase angle, λ, of node ii-kThe degree of correlation between the current in branch k and the injected current at node i.
The calculation method of the correlation matrix of the branch current and the node injection current is shown as the formula (2).
Figure BDA0002651623500000094
In the above formula, YBIs a branch admittance matrix, YNIs a node admittance matrix and A is a node incidence matrix.
2-2) calculating power generation set, load and converter station node i to power transmission channel T by using formula (3)kActive sensitivity
Figure BDA0002651623500000095
Figure BDA0002651623500000096
2-3) through type (4) of active sensitivity beta of generator set, load and converter station node i to transmission channel set T associated with receiving-end power gridi-T
Figure BDA0002651623500000097
The method for determining the sending-receiving end unit, the receiving end load and the receiving end direct current converter station through the sensitivity comprises the following specific steps:
2-1) if the node i of the generating set is integrated with the active sensitivity beta of the transmission channel set T associated with the receiving end power gridi-TIf the current is positive, the generator set i is in the sending end power grid, i belongs to GsOtherwise, the generator set i is in the receiving end power grid, i belongs to Gr
2-2) if the load node i is in the set T of active sensitivities of the transmission channels associated with the receiving end power gridi-TIf the load node is negative, the load node i is in the receiving end power grid, i belongs to LrOtherwise, the load node i is in the sending end power grid, i belongs to Ls
2-3) if the node i of the direct current converter station has the active sensitivity beta to the transmission channel set T associated with the receiving end power gridi-TIf the current is positive, the converter station node i is in the sending end power grid, i belongs to HsOtherwise, the converter station node i is in the receiving end power grid, i belongs to Hr
Step 3 in fig. 1 describes that the maximum power receiving limit and the minimum power receiving limit of the receiving-end power grid are solved by considering the stability limit of each power transmission channel, the upper limit and the lower limit of the generator set and the load active power regulation, and the power balance constraint.
The receiving end power grid maximum power receiving limit and the receiving end power grid minimum power receiving limit linear programming calculation models are respectively shown as formulas (5) and (6).
Maximum power receiving limit of receiving-end power grid
Figure BDA0002651623500000101
Linear programming computational model:
Figure BDA0002651623500000102
in the above formula, the first and second carbon atoms are,
Figure BDA0002651623500000103
calculating the sum of the data active power for the current power flow of the transmission channel set T,
Figure BDA0002651623500000104
for power transmission channel TkOf the initial active power of betag-TFor the active sensitivity of the node where the generator set g is located to the set of power transmission channels T,
Figure BDA0002651623500000105
for generator set g node pair transmission channel TkThe active sensitivity of the light source is improved,
Figure BDA0002651623500000106
is the initial active output, Δ P, of the generator set ggFor active adjustment of generator set g, Pg,maxAnd Pg,minThe upper and lower output limits, beta, of the unit gl-TFor the active sensitivity of the load l to the set T of transmission channels,
Figure BDA0002651623500000107
for load l pairs of transmission channels TkActive sensitivity of (2), Pl 0Is the initial active power of the load l, Δ PlFor active adjustment of the load l, Pl,maxAnd Pl,minRespectively the upper and lower limits of the load l, the upper and lower limits of the load are the maximum and minimum values of the corresponding load determined by integrating historical data and prediction data, klossThe value is 0.02 for the network loss coefficient.
Minimum receiving limit of receiving end power grid
Figure BDA0002651623500000111
Linear programming computational model:
Figure BDA0002651623500000112
Figure BDA0002651623500000113
for power transmission channel TjThe second line of the formula represents any power transmission channel T of the receiving end power gridjOut of limit, third row formula shows that except for the transmission channel TjAll other power transmission channels are not out of limit.
The method for solving the minimum power receiving limit of the receiving-end power grid comprises the following steps:
aiming at each power transmission channel T in power transmission channel set T associated with receiving-end power gridjSuccessively updating the constraint conditions in the step (6) and solving each channel TjThe minimum value of the power supply power when the critical limit is exceeded is taken as the minimum power supply limit of the receiving-end power grid on the basis of the minimum value of the power supply power when the critical limit is exceeded of each channel
Figure BDA0002651623500000114
Step 4 in fig. 1 describes that a receiving-end power grid power supply margin interval is calculated based on load power, direct-current operating power and installed capacity in a receiving-end power grid in a current operation mode on the basis of solving the maximum and minimum power receiving limits of the receiving-end power grid.
The receiving-end power grid power supply margin interval is calculated by the following method:
4-1) counting the sum of the load power of the receiving-end power grid as the current load level P of the receiving-end power gridL,allThe calculation formula is as follows:
Figure BDA0002651623500000121
4-2) counting the sum of the capacities of the generator sets in the receiving-end power grid as the total installed capacity of the receiving-end power grid
Figure BDA0002651623500000122
The calculation formula is as follows:
Figure BDA0002651623500000123
4-3) counting the sum of the power of the nodes of the direct current converter station in the receiving end power grid as the direct current running power of the receiving end power grid
Figure BDA0002651623500000124
The calculation formula is as follows:
Figure BDA0002651623500000125
Figure BDA0002651623500000126
h representing a DC inversion station at the receiving grid1The initial dc power is then applied to the power supply,
Figure BDA0002651623500000127
h representing a DC rectifier station at the receiving grid2The initial dc power is then applied to the power supply,
4-4) calculating the maximum and minimum values of the receiving-end power grid power supply margin through the formulas (10) and (11), namely, the receiving-end power grid power supply margin interval.
Figure BDA0002651623500000128
Figure BDA0002651623500000129
PL,allThe current load level of the receiving end power grid.
The method comprises the steps of considering the stable quota of a plurality of power receiving channels of the receiving-end power grid, establishing a maximum and minimum power receiving limit linear programming calculation model of the receiving-end power grid, solving the linear programming model to obtain the maximum and minimum power receiving limits of the receiving-end power grid which meet the condition that all channels are not out of limit, and calculating the power supply margin interval of the receiving-end power grid based on the maximum and minimum power receiving limits of the power receiving channels. According to the method, the power supply margin interval of the receiving-end power grid supplied with power through multiple power transmission channels is calculated, so that a basis is provided for improving the power supply capacity and guaranteeing safe operation of the receiving-end power grid.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
While the present invention has been described with reference to the embodiments shown in the drawings, the present invention is not limited to the embodiments, which are illustrative and not restrictive, and it will be apparent to those skilled in the art that various changes and modifications can be made therein without departing from the spirit and scope of the invention as defined in the appended claims.

Claims (9)

1. The method for evaluating the power receiving capacity of the receiving-end power grid under the constraint of the multichannel quota is characterized by comprising the following steps of: determining a related power transmission channel set and a stable quota of each power transmission channel aiming at a specified receiving end power grid, and acquiring a whole-grid power generation group node and a load node;
respectively calculating the active sensitivity of each generator set node and each load node of the whole network to each power transmission channel of the receiving-end power grid, and determining a transmitting-end generator set node and a receiving-end load node according to the active sensitivity;
and taking into account the stable quota of each power transmission channel, the active power regulation upper and lower limits of a transmitting end power generation set node and a receiving end load node and power balance constraints, respectively establishing a receiving end power grid maximum power receiving limit linear programming calculation model and a receiving end power grid minimum power receiving limit linear programming calculation model, and solving to obtain the maximum power receiving limit and the minimum power receiving limit of the receiving end power grid.
2. The method for evaluating the receiving capacity of the receiving power grid under the constraint of the multi-channel quota as claimed in claim 1, wherein the active sensitivity of each generator set node and each load node of the whole power grid to each transmission channel of the receiving power grid is calculated by the following method:
calculating the active sensitivity beta of a node i to a branch k by using a formula (1)i-k
Figure FDA0002651623490000011
In the above formula, UkIs the voltage modulus at the head end of branch k,
Figure FDA0002651623490000012
is the voltage phase angle, U, of the head end of branch kiIs the voltage modulus of the node i,
Figure FDA0002651623490000013
is the phase angle of the voltage at node i, λi-kThe degree of correlation between the current of the branch k and the current injected into the node i;
the calculation method of the correlation matrix of the branch current and the node injection current is shown in the formula (2),
Figure FDA0002651623490000014
in the above formula, YBIs a branch admittance matrix, YNIs a node admittance matrix, A is a node incidence matrix;
through formula (3), a power transmission channel T of a node i pair is calculatedkActive sensitivity
Figure FDA0002651623490000021
Figure FDA0002651623490000022
2-3) through formula (4), node i is used for collecting T active sensitivity of power transmission channel set associated with receiving-end power gridi-T
Figure FDA0002651623490000023
3. The method for evaluating the receiving capacity of the receiving end power grid under the constraint of the multichannel quota as claimed in claim 1, wherein the specific method for determining the sending end power generation group node and the receiving end load node through the active sensitivity is as follows:
2-1) if the node i of the generating set is integrated with the active sensitivity beta of the transmission channel set T associated with the receiving end power gridi-TIf the number is positive, the node i of the generator set is in the power grid at the sending end, i belongs to GsWherein G issA node set of a power generation group of a sending end power grid;
2-2) if the load node i is in the set T of active sensitivities of the transmission channels associated with the receiving end power gridi-TIf the load node is negative, the load node i is in the receiving end power grid, i belongs to LrLrThe load nodes are collected by the load nodes of the receiving end power grid.
4. The method for evaluating the receiving power capacity of the receiving power grid under the constraint of the multi-channel quota according to claim 1, wherein the maximum receiving limit linear programming calculation model and the minimum receiving limit linear programming calculation model of the receiving power grid are respectively expressed as follows:
maximum power receiving limit of receiving-end power grid
Figure FDA0002651623490000024
Linear programming computational model:
Figure FDA0002651623490000031
in the above formula, the first and second carbon atoms are,
Figure FDA0002651623490000032
calculating the sum of the data active power for the current power flow of the transmission channel set T,
Figure FDA0002651623490000033
for power transmission channel TkOf the initial active power of betag-TFor the active sensitivity of the node where the generator set g is located to the set of power transmission channels T,
Figure FDA0002651623490000034
for generator set g node pair transmission channel TkThe active sensitivity of the light source is improved,
Figure FDA0002651623490000035
is the initial active output, Δ P, of the generator set ggFor active adjustment of generator set g, Pg,maxIs the upper limit of the output of the unit g, Pg,minIs the lower limit of the output, beta, of the unit gl-TFor the active sensitivity of the load l to the set T of transmission channels, Pl 0Is the initial active power of the load l, Δ PlFor active adjustment of the load l, Pl,maxAt the upper limit of the load l, Pl,minLower limit of load l, klossThe coefficient of the network loss is taken as the coefficient of the network loss,
Figure FDA0002651623490000036
for power transmission channel TkStable quota of GsIs a node set of a generator set of a sending-end power grid, LrA receiving end power grid load node set is obtained;
minimum receiving limit of receiving end power grid
Figure FDA0002651623490000037
Linear programming computational model:
Figure FDA0002651623490000038
in the above formula, the first and second carbon atoms are,
Figure FDA0002651623490000041
for power transmission channel TjThe stable quota of (2).
5. The method for evaluating the power supply margin interval of the receiving-end power grid under the constraint of the multichannel quota is characterized by comprising the following steps of:
determining a related power transmission channel set and a stable limit of each power transmission channel aiming at a specified receiving end power grid, and acquiring a node set H of a rectification station in the whole gridzlAnd inversion station node set HnbDetermining nodes of a power generation group, load nodes and nodes of a direct current converter station of the whole network;
respectively calculating the active sensitivity of each generator group node, each load node and each direct current converter station node of the whole network to each transmission channel of the receiving-end power grid, and determining a sending-end generator group node, a receiving-end load node and a receiving-end direct current converter station node according to the active sensitivity;
taking into account the stable quota of each power transmission channel, the active power regulation upper and lower limits of the generator set node and the load node, and the power balance constraint, respectively establishing a maximum power receiving limit linear programming calculation model and a minimum power receiving limit linear programming calculation model of the receiving-end power grid, and solving to obtain the maximum power receiving limit and the minimum power receiving limit of the receiving-end power grid;
and calculating a receiving-end power grid power supply margin interval based on the maximum power receiving limit and the minimum power receiving limit of the receiving-end power grid obtained by solving, and the load power, the direct-current running power and the installed capacity in the receiving-end power grid in the current running mode.
6. The method for evaluating the power supply margin interval of the receiving-end power grid under the constraint of the multichannel quota as recited in claim 5, wherein the active sensitivity of each generator group node, each load node and each direct current converter station node of the whole power grid to each power transmission channel of the receiving-end power grid is calculated by the following method:
calculating the active sensitivity beta of a node i to a branch k by using a formula (1)i-k
Figure FDA0002651623490000042
In the above formula, UkIs the voltage modulus at the head end of branch k,
Figure FDA0002651623490000043
is the voltage phase angle, U, of the head end of branch kiIs the voltage modulus of the node i,
Figure FDA0002651623490000051
is the phase angle of the voltage at node i, λi-kThe degree of correlation between the current of the branch k and the current injected into the node i;
the calculation method of the correlation matrix of the branch current and the node injection current is shown in the formula (2),
Figure FDA0002651623490000052
in the above formula, YBIs a branch admittance matrix, YNIs a node admittance matrix, A is a node incidence matrix;
through formula (3), a power transmission channel T of a node i pair is calculatedkActive sensitivity
Figure FDA0002651623490000053
Figure FDA0002651623490000054
2-3) through formula (4), node i is used for collecting T active sensitivity of power transmission channel set associated with receiving-end power gridi-T
Figure FDA0002651623490000055
7. The method for evaluating the receiving capacity of the receiving end power grid under the constraint of the multichannel quota as claimed in claim 5, wherein the specific method for determining the node of the sending end power generation group, the node of the receiving end load and the node of the receiving end direct current converter station through the active sensitivity is as follows:
2-1) if the node i of the generating set is integrated with the active sensitivity beta of the transmission channel set T associated with the receiving end power gridi-TIf the number is positive, the node i of the generator set is in the power grid at the sending end, i belongs to GsOtherwise, the generator set i is in the receiving end power grid, i belongs to GrWherein G issFor a node set, G, of a generator set of a transmitting-end power gridrA receiving end power grid generator set node set is obtained;
2-2) if the load node i is in the set T of active sensitivities of the transmission channels associated with the receiving end power gridi-TIf the load node is negative, the load node i is in the receiving end power grid, i belongs to Lr,LrA receiving end power grid load node set is obtained;
2-3) if the node i of the direct current converter station has the active sensitivity beta to the transmission channel set T associated with the receiving end power gridi-TIf the current is positive, the converter station node i is in the sending end power grid, i belongs to HsOtherwise, the converter station node i is in the receiving end power grid, i belongs to Hr,HsFor a set of converter station nodes of the transmitting-end power grid, HrIs a receiving end power grid converter station node set.
8. The method for evaluating the receiving power capacity of the receiving power grid under the constraint of the multi-channel quota according to claim 5, wherein the maximum receiving limit linear programming calculation model and the minimum receiving limit linear programming calculation model of the receiving power grid are respectively expressed as follows:
maximum power receiving limit of receiving-end power grid
Figure FDA0002651623490000061
Linear programming computational model:
Figure FDA0002651623490000062
in the above formula, the first and second carbon atoms are,
Figure FDA0002651623490000063
calculating the sum of the data active power for the current power flow of the transmission channel set T,
Figure FDA0002651623490000064
for power transmission channel TkOf the initial active power of betag-TFor the active sensitivity of the node where the generator set g is located to the set of power transmission channels T,
Figure FDA0002651623490000065
for generator set g node pair transmission channel TkThe active sensitivity of the light source is improved,
Figure FDA0002651623490000066
is the initial active output, Δ P, of the generator set ggFor active adjustment of generator set g, Pg,maxIs the upper limit of the output of the unit g, Pg,minIs the lower limit of the output, beta, of the unit gl-TFor the active sensitivity of the load l to the set T of transmission channels,
Figure FDA0002651623490000067
for load l pairs of transmission channels TkActive sensitivity of (2), Pl 0Is the initial active power of the load l, Δ PlFor active adjustment of the load l, Pl,maxAt the upper limit of the load l, Pl,minLower limit of load l, klossIs the coefficient of loss of network
Figure FDA0002651623490000068
For power transmission channel TkStable quota of GsIs a node set of a generator set of a sending-end power grid, LrA receiving end power grid load node set is obtained;
minimum receiving limit of receiving end power grid
Figure FDA0002651623490000069
Linear programming computational model:
Figure FDA0002651623490000071
in the above formula, the first and second carbon atoms are,
Figure FDA0002651623490000072
for power transmission channel TjThe stable quota of (2).
9. The method for evaluating the receiving-end power grid power receiving capacity under the constraint of the multichannel quota as claimed in claim 5, wherein the method for calculating the receiving-end power grid power supply margin interval is as follows:
the sum of the load power of the receiving-end power grid is counted and taken as the current load level P of the receiving-end power gridL,allThe calculation formula is as follows:
Figure FDA0002651623490000073
Pi 0is a nodei initial active power output, LrA receiving end power grid load node set is obtained;
the sum of the capacities of the generator sets in the receiving-end power grid is counted and used as the total installed capacity of the receiving-end power grid
Figure FDA0002651623490000074
The calculation formula is as follows:
Figure FDA0002651623490000075
Gris a collection of receiving end grid generator set nodes,
counting the power sum of the nodes of the direct current converter station in the receiving end power grid as the direct current running power of the receiving end power grid
Figure FDA0002651623490000076
The calculation formula is as follows:
Figure FDA0002651623490000077
Figure FDA0002651623490000078
h representing a DC inversion station at the receiving grid1The initial dc power is then applied to the power supply,
Figure FDA0002651623490000079
h representing a DC rectifier station at the receiving grid2Initial DC power, HrThe method comprises the steps of collecting nodes of a converter station of a receiving-end power grid;
calculating the maximum value xi of the receiving-end power grid power supply margin through the formula (10) and the formula (11) respectivelymaxAnd minimum value ximinNamely the receiving end power grid power supply margin interval,
Figure FDA0002651623490000081
Figure FDA0002651623490000082
Figure FDA0002651623490000083
is the maximum power receiving limit of the receiving end power grid,
Figure FDA0002651623490000084
is the minimum receiving limit, P, of the receiving end power gridL,allThe current load level of the receiving end power grid.
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