CN115528746A - Power distribution network extension planning method, device, equipment and storage medium - Google Patents

Power distribution network extension planning method, device, equipment and storage medium Download PDF

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CN115528746A
CN115528746A CN202211209563.2A CN202211209563A CN115528746A CN 115528746 A CN115528746 A CN 115528746A CN 202211209563 A CN202211209563 A CN 202211209563A CN 115528746 A CN115528746 A CN 115528746A
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distribution network
power distribution
generator
data
line
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孔慧超
李名科
曾子县
罗煜
钟锦星
曾远方
薛琰
庾力维
王健华
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Guangdong Power Grid Co Ltd
Dongguan Power Supply Bureau of Guangdong Power Grid Co Ltd
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Dongguan Power Supply Bureau of Guangdong Power Grid Co Ltd
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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Abstract

The invention discloses a power distribution network extension planning method, a device, equipment and a storage medium. A power distribution network extension planning method comprises the following steps: acquiring line data, generator data and cost data of a power distribution network in a planning scheme, wherein the line data comprises short-circuit current thresholds of a line and a transformer; establishing an impedance matrix equation of the power distribution network based on the line data and the generator data; establishing a dynamic expansion planning model of the power distribution network meeting the short-circuit current threshold limit based on the line data, the generator data, the cost data and the impedance matrix equation; and carrying out linearization processing on the dynamic expansion planning model, and solving to obtain the number of the optimized split conductors of the power distribution network and the optimal rated voltage of the newly added generator and the bus. The method can provide theoretical data basis for the expansion planning of the power distribution network, avoid faults caused by the increase of bus short-circuit current due to the addition of new lines and new generators in the expansion process of the power distribution network, and avoid the increase of upgrading and interruption cost.

Description

Power distribution network extension planning method, device, equipment and storage medium
Technical Field
The invention relates to the technical field of power distribution network planning, in particular to a power distribution network extension planning method, device, equipment and storage medium.
Background
The power distribution network expansion planning refers to a scheme for determining power grid construction according to a load prediction result and the existing network facilities in a certain planning time period so as to meet power utilization requirements within a planning year and safe and reliable power grid operation.
The power distribution network planning problem is a very complex large-scale combinatorial optimization problem. The main task of traditional power distribution network planning is to determine an optimal system construction scheme according to a space load prediction result in a network during planning and a basic condition of the existing network, namely, on the premise of meeting load increase and safe and reliable power supply, upgrading and modifying construction and operation cost of a power distribution network are minimized. When the capacity of the power distribution system cannot meet the increase demand of the load in the district or some users put higher demands on the power supply reliability, the system needs to be correspondingly increased. The traditional capacity increasing method is to increase the purchase amount of electricity to a conventional power supply and perform expansion planning on a power grid, namely, on the premise of meeting future load increase requirements and network operation constraints, a group of optimal decision variables (such as the position and the capacity of a transformer substation, the path and the size of a feeder line and the like) are searched, so that the sum of the costs of investment, operation, maintenance, network loss and the like is minimized.
However, the load prediction and the upgrading and reconstruction construction and operation cost of the power distribution network are mainly considered in the conventional power distribution network planning, and the actual operation condition of the power distribution network is not considered, so that the transformer substation component can not bear faults such as overlarge short-circuit power and the like, and is damaged due to the faults.
Disclosure of Invention
The invention provides a method, a device, equipment and a storage medium for expanding and planning a power distribution network, which are used for realizing effective planning of the power distribution network.
According to an aspect of the present invention, there is provided a power distribution network extension planning method, including:
acquiring line data, generator data and cost data of a power distribution network in a planning scheme, wherein the line data comprises short-circuit current thresholds of a line and a transformer;
establishing an impedance matrix equation of the power distribution network based on the line data and the generator data;
establishing a dynamic extended planning model of the power distribution network that satisfies the short circuit current threshold limit based on the line data, the generator data, and the cost data;
and carrying out linearization processing on the dynamic expansion planning model, and solving to obtain the number of the optimized split conductors of the power distribution network and the optimal rated voltage of the newly added generator and the bus.
Optionally, the establishing an impedance matrix equation of the power distribution network based on the line data and the generator data includes:
establishing a first impedance matrix equation after a new generator is added to the power distribution network in the planning scheme;
and establishing a second impedance matrix equation after a new line and/or a new transformer is added to the power distribution network in the planning scheme.
Optionally, the establishing of the first impedance matrix equation after the new generator is added to the power distribution network in the planning scheme includes:
by usingThe following formula calculates the variation of the elements of a first impedance matrix equation of a power distribution network after a new generator is added in a planning scheme relative to the diagonal elements of an impedance matrix of the power distribution network before the new generator is added
Figure BDA0003874658100000021
Figure BDA0003874658100000022
Figure BDA0003874658100000023
Wherein, the first and the second end of the pipe are connected with each other,
Figure BDA0003874658100000024
is the admittance of the new generator,
Figure BDA0003874658100000025
to add elements of the impedance matrix before the new generator,
Figure BDA0003874658100000026
is the impedance of the new generator.
Optionally, the establishing of the second impedance matrix equation after adding a new line and/or a new transformer to the power distribution network in the planning scheme includes:
calculating the variation quantity of the elements of a second impedance matrix equation after a new line and/or new voltage transformation is added to the power distribution network in a planning scheme relative to the diagonal elements of the impedance matrix before the new line and/or the new voltage transformation is added to the power distribution network by using the following formula
Figure BDA0003874658100000031
Figure BDA0003874658100000032
Figure BDA0003874658100000033
Wherein the content of the first and second substances,
Figure BDA0003874658100000034
adding a variation of an element of a second impedance matrix equation after a new line and/or a new transformation to the power distribution network with respect to a diagonal element ij of an impedance matrix before the new line and/or the new transformation is added to the power distribution network,
Figure BDA0003874658100000035
to add the elements of the new line and/or the impedance matrix before the new transformation,
Figure BDA0003874658100000036
is the impedance of the new line and/or the new voltage transformation.
Optionally, the establishing a dynamic extended planning model of the power distribution network based on the line data, the generator data, and the cost data includes:
establishing an objective function of a dynamic extended planning model of the power distribution network based on the line data, the generator data and the cost data;
and establishing a constraint equation of a dynamic extended planning model of the power distribution network based on the line data, the generator data and the cost data.
Optionally, the establishing an objective function of a dynamic extended planning model of the power distribution network based on the line data, the generator data, and the cost data includes:
establishing an objective function of a dynamic extended planning model of the power distribution network by using the following formula:
Figure BDA0003874658100000037
where C is the cost of the objective function(ii) a l and g are respectively indexes of lines and generators in the power distribution network; u is a voltage class index; t is the number of scheduling time segments; c is the number of split conductors of the candidate line in the planning scheme; d is a load demand level index; gamma is the investment discount rate;
Figure BDA0003874658100000041
investment cost of a candidate line l of rated voltage u and split conductor number c;
Figure BDA0003874658100000042
is the investment cost of the candidate generator g;
Figure BDA0003874658100000043
is the network power loss at time t for load demand level d.
Figure BDA0003874658100000044
The active power output of the generator g in the time period t is generated under the load demand level d; OC g The running cost of the generator g is calculated; x is the number of i,u,c,t Is a variable from 0 to 1, if at time t, the voltage level is u, the number of split conductors is c l,u,c,t =1, otherwise x l,u,c,t ＝0；y g,t Is a variable of 0-1, if there is a generator g, y in the period t g,t =1; otherwise y g,t ＝0；π t The value of the energy loss in the t stage is; tau. d The duration (hours) of the load demand level d.
The method according to claim 5, wherein the establishing a constraint equation of a dynamic extended planning model of the power distribution network based on the line data, the generator data and the cost data comprises:
establishing candidate lines and candidate generator quantity constraints, candidate line rated voltage constraints, candidate line admittance constraints, transmission line branch flow constraints, transmission line capacity constraints, network power balance constraints, system safe operation constraints, candidate generator admittance constraints, branch admittance constraints related to the candidate lines, short circuit current level constraints, diagonal element constraints of an updated impedance matrix after the candidate lines are newly added.
According to another aspect of the present invention, there is provided a power distribution network extension planning apparatus, including:
the acquisition module is used for executing and acquiring line data, generator data and cost data of the power distribution network in the planning scheme;
a matrix module for executing an impedance matrix equation for establishing a power distribution network based on the line data and the generator data;
a modeling module for executing a dynamic extended planning model for the power distribution network based on the line data, the generator data, and the cost data;
and the solving module is used for performing linear processing on the dynamic expansion planning model and solving to obtain the number of the optimized split conductors of the power distribution network and the optimal rated voltage of the newly added generator and bus.
According to another aspect of the present invention, there is provided a power distribution network extension planning apparatus, the apparatus including:
at least one processor; and
a memory communicatively coupled to the at least one processor; wherein the content of the first and second substances,
the memory stores a computer program executable by the at least one processor, the computer program being executable by the at least one processor to enable the at least one processor to perform the method for power distribution network extension planning according to any of the embodiments of the present invention.
According to another aspect of the present invention, a computer-readable storage medium is provided, where computer instructions are stored, and the computer instructions are configured to enable a processor to implement the power distribution network extension planning method according to any embodiment of the present invention when executed.
According to the technical scheme of the embodiment of the invention, an impedance matrix equation of the power distribution network is established through the line data, the generator data and the cost data of the power distribution network in the planning scheme, then a dynamic expansion planning model of the power distribution network meeting the limit of the short-circuit current threshold is established, and finally the optimal number of the split conductors and the optimal rated voltage of the newly-added generator and the bus are obtained through solving, so that a theoretical data basis is provided for the expansion planning of the power distribution network, the fault caused by the increase of the bus short-circuit current due to the addition of a new line and a new generator in the expansion process of the power distribution network is avoided, and the increase of upgrading and interruption costs are avoided.
It should be understood that the statements in this section do not necessarily identify key or critical features of the embodiments of the present invention, nor do they necessarily limit the scope of the invention. Other features of the present invention will become apparent from the following description.
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In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
Fig. 1 is a flowchart of a power distribution network extension planning method according to an embodiment of the present invention;
fig. 2 is a schematic structural diagram of a power distribution network expansion planning apparatus according to a second embodiment of the present invention;
fig. 3 is a schematic structural diagram of a power distribution network expansion planning apparatus according to a third embodiment of the present invention.
Detailed Description
In order to make the technical solutions of the present invention better understood, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It should be noted that the terms "first," "second," and the like in the description and claims of the present invention and in the drawings described above are used for distinguishing between similar elements and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used is interchangeable under appropriate circumstances such that the embodiments of the invention described herein are capable of operation in sequences other than those illustrated or described herein. Moreover, the terms "comprises," "comprising," and "having," and any variations thereof, are intended to cover a non-exclusive inclusion, such that a process, method, system, article, or apparatus that comprises a list of steps or elements is not necessarily limited to those steps or elements expressly listed, but may include other steps or elements not expressly listed or inherent to such process, method, article, or apparatus.
Example one
Fig. 1 is a flowchart of a power distribution network extension planning method according to an embodiment of the present invention, where the present embodiment is applicable to a situation where extension planning of a power distribution network is determined, and the method may be executed by a power distribution network extension planning device, where the power distribution network extension planning device may be implemented in a form of hardware and/or software, and the power distribution network extension planning device may be configured in computer equipment, such as a server, a workstation, a personal computer, and the like. As shown in fig. 1, the method includes:
s110, obtaining line data, generator data and cost data of the power distribution network in the planning scheme, wherein the line data comprises short-circuit current thresholds of lines and transformers.
The purpose of the power distribution network expansion planning is to determine the construction time, position, scale and type of power generation and transmission network in the next years of the power system so as to adapt to the future load change. It is noted that by adding generators and lines, the short circuit current level of the bus of the overall system will inevitably increase, since the newly created lines reduce the fault impedance and the newly created generators act as a source of fault current. If bus short-circuit current limitations are not considered in the power system extension planning, the short-circuit current levels of existing substations may exceed the rated breaking capabilities of the substation components (switchgears, transformers, cables, etc.). In this case, the substation components cannot withstand the fault and may be damaged by the fault.
The line data of the power distribution network in the planning scheme may include related parameters such as original lines, substations, newly added lines, the number and types of substations, wire materials, cross-sectional areas, lengths, splitting numbers, splitting distances, voltage levels, impedances, and short-circuit current thresholds in the planning scheme. The generator data includes model, rated capacity, rated power, rated voltage, rated current, power factor, rated frequency, etc. The cost data may include investment costs for extension lines and generators, energy loss costs and power generation costs over a dispatch period, etc.
And S120, establishing an impedance matrix equation of the power distribution network based on the line data and the generator data.
The node impedance matrix presents the relationship of current, voltage and impedance in the multiport network in a matrix mode. A matrix describing the relationship of power network node injection current and node voltage in terms of impedance. In the embodiment of the invention, an impedance matrix equation of the power distribution network in the planning scheme is established based on the acquired line data and the generator data, namely the impedance matrix equation of the power distribution network after planning is established on the existing basis.
In an alternative example, the elements of the impedance matrix equation may be represented in increments to existing distribution networks.
S130, establishing a dynamic expansion planning model of the power distribution network based on the line data, the generator data, the cost data and the impedance matrix equation.
In the embodiment of the invention, the objective function of the dynamic extended planning model can comprise investment cost for constructing lines and generators, energy loss cost and power generation cost in a scheduling period, the constraint condition is network equation constraint after the power distribution network is extended and planned, and the short-circuit current is taken into consideration as one of the constraint conditions. For example, the established constraint conditions include a candidate line and candidate generator number constraint, a candidate line rated voltage constraint, a candidate line admittance constraint, a transmission line branch power flow constraint, a transmission line capacity constraint, a network power balance constraint, a system safe operation constraint, a candidate generator admittance constraint, a branch admittance constraint related to the candidate line, a short circuit current level constraint, a diagonal element constraint of an impedance matrix equation updated after the candidate line is newly added.
And S140, carrying out linearization processing on the dynamic expansion planning model, and solving to obtain the number of the optimized split conductors of the power distribution network and the optimal rated voltage of the newly added generator and the bus.
In the step, an impedance matrix equation and a dynamic expansion planning model of the power distribution network in the planning scheme are established, and in the step, the established dynamic expansion planning model is subjected to linearization processing and converted into a mixed integer linear optimization model for solving, so that the number of the optimized split conductors of the power distribution network and the optimal rated voltage of the newly-added generator and the buses are obtained.
In the embodiment of the invention, an impedance matrix equation of the power distribution network is established through line data, generator data and cost data of the power distribution network in a planning scheme, then a dynamic expansion planning model of the power distribution network meeting the limitation of a short-circuit current threshold is established, and finally the optimal number of split conductors and the optimal rated voltage of a newly-added generator and a bus are obtained through solving, so that a theoretical data basis is provided for the expansion planning of the power distribution network, the fault caused by the increase of the bus short-circuit current due to the addition of a new line and a new generator in the expansion process of the power distribution network is avoided, and the increase of the upgrading and interruption cost is avoided.
In an embodiment of the present invention, S120 may include:
s121, establishing a first impedance matrix equation after a new generator is added to the power distribution network in the planning scheme.
From the point of view of the short circuit current level, adding a new generator at bus m is equivalent to inserting a generator impedance between bus m and the reference node. If the bus m is already connected to the generator, the impedance of the new generator will be in parallel with the impedance of the existing generator. The amount of impedance change Δ Z due to the new generator can be expressed by the following equation i,j ：
Figure BDA0003874658100000081
Wherein, Δ Z i,j Is a first impedance matrix equation Z BUS The variable quantity of the element ij after the new generator is added in the element,
Figure BDA0003874658100000091
for the first impedance matrix equation Z before adding new generator BUS The element of (a) is (b),
Figure BDA0003874658100000092
is the impedance of the new generator.
Then, the following formula can be used to calculate the variation of the elements of the first impedance matrix equation after the new generator is added to the power distribution network in the planning scheme relative to the diagonal elements of the impedance matrix before the new generator is added to the power distribution network
Figure BDA0003874658100000093
Figure BDA0003874658100000094
Figure BDA0003874658100000095
For the sake of simplicity
Figure BDA0003874658100000096
The following auxiliary variables are defined:
Figure BDA0003874658100000097
Figure BDA0003874658100000098
due to the fact that
Figure BDA0003874658100000099
The above formula then translates into:
Figure BDA00038746581000000910
and S122, establishing a second impedance matrix equation after a new line and/or a new transformer is added to the power distribution network in the planning scheme.
The extension of a new line and/or a new transformer between the busbars m and n can be represented by inserting a new admittance either in parallel to the existing line (if a line exists) or between the two busbars. Assume a newly added candidate line admittance of
Figure BDA00038746581000000911
Having an impedance of
Figure BDA00038746581000000912
Figure BDA00038746581000000913
The following formula can be used to calculate the variation of the elements of the second impedance matrix equation after adding a new line and/or new transformation to the power distribution network in the planning scheme with respect to the diagonal elements of the impedance matrix before adding the new line and/or the new transformation to the power distribution network
Figure BDA00038746581000000914
Figure BDA00038746581000000915
Figure BDA00038746581000000916
Wherein the content of the first and second substances,
Figure BDA0003874658100000101
adding the variation quantity of the element of the second impedance matrix equation after the new line and/or the new transformation to the power distribution network relative to the diagonal element ij of the impedance matrix before the new line and/or the new transformation is added to the power distribution network,
Figure BDA0003874658100000102
to add the elements of the new line and/or the impedance matrix before the new transformation,
Figure BDA0003874658100000103
is the impedance of the new line and/or the new voltage transformation.
Also for the sake of simplicity
Figure BDA0003874658100000104
The following auxiliary variables are defined:
Figure BDA0003874658100000105
Figure BDA0003874658100000106
then the
Figure BDA0003874658100000107
Can be converted into:
Figure BDA0003874658100000108
definition of
Figure BDA0003874658100000109
The real and imaginary components in the above equation are respectively:
Figure BDA00038746581000001010
Figure BDA00038746581000001011
substituting real and imaginary components into
Figure BDA00038746581000001012
In (1), obtaining:
Figure BDA00038746581000001013
optionally, S130 may include:
s131, establishing a target function of a dynamic expansion planning model of the power distribution network based on the line data, the generator data and the cost data;
in specific implementation, a power distribution network dynamic expansion planning model considering short-circuit current constraints is established, wherein the objective function comprises investment cost for building lines and generators, energy loss cost and power generation cost in a scheduling period, and the constraints are network equation constraints after power distribution network expansion planning.
Establishing an objective function of a dynamic extended planning model of the power distribution network by using the following formula:
Figure BDA00038746581000001014
Figure BDA0003874658100000111
wherein C is the cost of the objective function; l and g are respectively indexes of lines and generators in the power distribution network; u is a voltage class index; t is the number of scheduling time segments; c is the number of split conductors of the candidate line in the planning scheme; d is a load demand level index; gamma is the investment reduction rate;
Figure BDA0003874658100000112
investment cost of a candidate line l of rated voltage u and split conductor number c;
Figure BDA0003874658100000113
is the investment cost of the candidate generator g;
Figure BDA0003874658100000114
for the network power loss at time t of the load demand level d,
Figure BDA0003874658100000115
the active power output of the generator g in the time period t is generated under the load demand level d; OC g The running cost of the generator g is calculated; x is a radical of a fluorine atom l,u,c,t Is a variable from 0 to 1, if at time t, voltage level u, number of split conductors c line l, x l,u,c,t =1, otherwise x l,u,c,t ＝0；y g,t Is a variable of 0-1, if there is a generator g, y in the period t g,t =1; otherwise y g,i ＝0；π t The value of the energy loss in the t stage is; tau is d The duration (hours) of the load demand level d. The first and second terms of the above equation represent the investment costs of the extension line and the generator, respectively. The latter two terms represent the energy loss cost and the power generation cost during the scheduling period.
S132, establishing a constraint equation of the dynamic expansion planning model of the power distribution network based on the line data, the generator data and the cost data.
In the specific implementation, the established constraint conditions include candidate line and candidate generator quantity constraints, candidate line rated voltage constraints, candidate line admittance constraints, transmission line branch power flow constraints, transmission line capacity constraints, network power balance constraints, system safe operation constraints, candidate generator admittance constraints, branch admittance constraints related to the candidate lines, short circuit current level constraints, and diagonal element constraints for updating the impedance matrix equation after the candidate lines are newly added. The following are exemplary:
(1) the constraints of establishing the candidate lines and the number of the candidate generators are as follows:
Figure BDA0003874658100000116
Figure BDA0003874658100000117
Figure BDA0003874658100000118
(2) the candidate line voltage rating constraints are established as follows:
Figure BDA0003874658100000121
Figure BDA0003874658100000122
in the formula:
Figure BDA0003874658100000123
a variable of 0-1, if line l connects bus i and j,
Figure BDA0003874658100000124
otherwise is
Figure BDA0003874658100000125
VN is the rated voltage of the bus, when the rated voltage of the bus i/j is u, the value is 1, otherwise, the value is 0; ord (·) is the index number in its ordered set;
(3) the candidate line admittance is established as follows:
Figure BDA0003874658100000126
Figure BDA0003874658100000127
in the formula:
Figure BDA0003874658100000128
the conductances of the existing line and the candidate line of the power transmission branch ij in the t period;
Figure BDA0003874658100000129
is the conductance at the rated voltage u and the wire l;
Figure BDA00038746581000001210
susceptance of the existing line and the candidate line of the power transmission branch ij in a time period t;
Figure BDA00038746581000001211
is the susceptance at the rated voltage u and the wire l.
(4) The branch load flow equation of the power transmission line is established as follows:
Figure BDA00038746581000001212
Figure BDA00038746581000001213
in the formula: v i,d,t 、δ i,d,t The voltage amplitude and phase of the bus i at the time of the load demand level d and t, respectively; s base Is a reference value.
(5) The transmission capacity constraint of the transmission line is established as follows:
Figure BDA00038746581000001214
in the formula:
Figure BDA00038746581000001215
at load demand levels d and d, respectively, for nodes i to j over existing and candidate routes, respectivelyActive and reactive power at time t;
Figure BDA0003874658100000131
the transmission capacity of each conductor i.
(6) The network power balance constraint is established as follows:
Figure BDA0003874658100000132
Figure BDA0003874658100000133
Figure BDA0003874658100000134
in the formula:
Figure BDA0003874658100000135
network power loss at load demand level d and t periods;
Figure BDA0003874658100000136
active power during load demand levels d and t is provided from bus i to bus j through existing and candidate lines.
Figure BDA0003874658100000137
The active power output of the generator g is the load demand level d and the t time period;
Figure BDA0003874658100000138
and is a variable from 0 to 1, when the generator g is connected with the bus i,
Figure BDA0003874658100000139
otherwise
Figure BDA00038746581000001310
(7) Establishing the system safe operation constraint conditions as follows:
Figure BDA00038746581000001311
Figure BDA00038746581000001312
Figure BDA00038746581000001313
in the formula: y is g,t Is a variable of 0-1, if there is a generator g, y in the period t g,t =1, otherwise y g,t ＝0；
Figure BDA00038746581000001314
The active power output and the reactive power output of the generator g are at the load demand level d and at the time t;
Figure BDA00038746581000001315
the upper limit and the lower limit of the active power output of the generator g are set;
Figure BDA00038746581000001316
the upper limit and the lower limit of the reactive power output of the generator g are set;
Figure BDA00038746581000001317
the upper and lower limits of the voltage amplitude of the bus i; r is t And reserving the coefficient for the minimum requirement of the system in the t stage.
(8) The admittance of the candidate generator is established as follows
Figure BDA00038746581000001318
Figure BDA00038746581000001319
In the formula:
Figure BDA0003874658100000141
is the conductance of the candidate generator at the bus m at time t.
(9) Establishing branch admittance in relation to the candidate line is as follows
Figure BDA0003874658100000142
Figure BDA0003874658100000143
In the formula:
Figure BDA0003874658100000144
is the conductance of the candidate line at time t;
Figure BDA0003874658100000145
is the conductance at the rated voltage u and the wire l.
The short circuit current level established in (r) is constrained as follows
Figure BDA0003874658100000146
Figure BDA0003874658100000147
Figure BDA0003874658100000148
Figure BDA0003874658100000149
Figure BDA00038746581000001410
Figure BDA00038746581000001411
In the formula:
Figure BDA00038746581000001412
is the susceptance of the candidate line at time t;
Figure BDA00038746581000001413
is the susceptance under the rated voltage u and the wire l;
Figure BDA00038746581000001414
for Z updated during the period t BUS The real part of element ii of (a);
Figure BDA00038746581000001415
is the real part of the diagonal element ii of the original impedance matrix;
Figure BDA00038746581000001416
after a candidate generator is added at the position of a bus m, Z is carried out at the time of t BUS The real part of element ii of (a);
Figure BDA00038746581000001417
after adding candidate lines m, n, Z BUS The ii element varies in the real part of the t period.
Figure BDA00038746581000001418
For Z updated during the period t BUS The imaginary part of element ii;
Figure BDA0003874658100000151
is the imaginary part of the diagonal element ii of the raw impedance matrix;
Figure BDA0003874658100000152
after a candidate generator is added at the position of a bus m, Z is carried out at the time of t BUS Imaginary part of element ii(ii) a change;
Figure BDA0003874658100000153
after candidate generators are added at the position of a bus m, Z is in a time period of t BUS The real part of element ii of (a);
Figure BDA0003874658100000154
respectively, the conductance and susceptance of the candidate generator at the bus m at the time of the t period.
Figure BDA0003874658100000155
After candidate generators are added at the position of a bus m, Z is in a time period of t BUS The imaginary part of element ii of (1);
Figure BDA0003874658100000156
the short-circuit current of the bus i in the time period t and the load demand level d is obtained;
Figure BDA0003874658100000157
respectively Z updated during the period t BUS The real and imaginary parts of element ii.
Figure BDA00038746581000001518
Updating Z after establishing newly added candidate line BUS Diagonal elements are as follows
Figure BDA0003874658100000158
Figure BDA0003874658100000159
In the formula:
Figure BDA00038746581000001510
after adding candidate lines m, n, Z BUS The real part of the ii element changes in the t period;
Figure BDA00038746581000001511
respectively the conductance and susceptance of the candidate line in the period t;
Figure BDA00038746581000001512
after adding candidate lines m, n, Z BUS The imaginary part of the ii element changes in the t period;
Figure BDA00038746581000001513
respectively, the conductance and susceptance of the candidate line during the t period.
Furthermore, the established mixed integer nonlinear optimization model of the dynamic extended planning of the power distribution network can be continuously linearized and converted into a mixed integer linear optimization model for solving.
(1) Branch power equation linearization:
due to line admittance
Figure BDA00038746581000001514
And
Figure BDA00038746581000001515
is a variable, and existing tidal linearization techniques are not applicable here. Therefore, the present invention proposes a continuous linearization method capable of handling variable line admittance, using taylor series at the working point x 0 A first order expansion of the vicinity, denoted as
Figure BDA00038746581000001516
Figure BDA00038746581000001517
V i,d,t ＝V i,0 ,V j,d,t ＝V j,0 ,δ i,d,t -δ j,d,t ＝δ ij,0 . These expansions are subjected to appropriate algebraic operations to obtain the following expression. Note that the sin function is approximated as sin (δ) i,d,t -δ j,d,t )≈δ i,d,t - δ j,d,t At the same time, function cos (δ) i,d,t -δ j,d,t ) Is varied by psi i,j,d,t Relaxed, linearly integrated over a hyperplane designated by kAnd (6) line constraint. The linearization process is as follows:
Figure BDA0003874658100000161
Figure BDA0003874658100000162
Figure BDA0003874658100000163
(2) Transmission capacity constraint linearization:
area x of a circle with radius r at origin point and centered on x-y plane using feasible solution space 2 + y 2 ≤r 2 The constraint of (3) further linearizes the inscribed polygon of the circle.
(3) Diagonal element linearization of impedance matrices
Figure BDA0003874658100000164
And
Figure BDA0003874658100000165
is a variable quantity
Figure BDA0003874658100000166
And
Figure BDA0003874658100000167
a function of (a); also, in the same manner as above,
Figure BDA0003874658100000168
Figure BDA0003874658100000169
and
Figure BDA00038746581000001610
is a variable quantity
Figure BDA00038746581000001611
And
Figure BDA00038746581000001612
as a function of (c). Thus, using the operating point X 0 A first order Taylor series of the neighborhood, will f 1 、f 2 、f 3 、f 4 Linearization is as follows:
Figure BDA00038746581000001613
Figure BDA00038746581000001614
in the formula (I), the compound is shown in the specification,
Figure BDA0003874658100000171
is shown at X 0 F of (a) k ；
Figure BDA0003874658100000172
Is shown at X 0 The partial derivative of (c).
(4) Bus short circuit current expression linearization
Each bus short-circuit current calculation formula is a nonlinear expression, and can be expressed by adopting a complex number as:
Figure BDA0003874658100000173
since the impedance of the grid is inductive, there are
Figure BDA0003874658100000174
Thus, the first term in the above equation can be assumed
Figure BDA0003874658100000175
Thus, the bus short circuit current level can be simplified as:
Figure BDA0003874658100000176
namely:
Figure BDA0003874658100000177
example two
Fig. 2 is a structural diagram of a power distribution network extension planning apparatus according to a second embodiment of the present invention. As shown in fig. 2, the apparatus includes an obtaining module 21, a matrix module 22, a modeling module 23, and a solving module 24, wherein:
the acquisition module 21 is configured to execute acquisition of line data, generator data, and cost data of the power distribution network in the planning scheme;
a matrix module 22 for executing an impedance matrix equation for the power distribution network based on the line data and the generator data;
the modeling module 23 is used for executing a dynamic expansion planning model for establishing the power distribution network based on the line data, the generator data and the cost data;
and the solving module 24 is used for performing linearization processing on the dynamic extended planning model, and solving to obtain the number of the optimized split conductors of the power distribution network and the optimal rated voltage of the newly added generator and the bus.
The matrix module 22 may include:
the first matrix unit is used for executing a first impedance matrix equation after a new generator is added to the power distribution network in the planning scheme;
and the second matrix unit is used for executing a second impedance matrix equation after a new line and/or a new transformer is added to the power distribution network in the planning scheme.
The first matrix unit may include:
a first matrix subunit, configured to execute the following formula to calculate a variation of an element of a first impedance matrix equation after adding a new generator to the power distribution network in the planning scheme with respect to a diagonal element of an impedance matrix before adding a new generator to the power distribution network
Figure BDA0003874658100000181
Figure BDA0003874658100000182
Figure BDA0003874658100000183
Wherein the content of the first and second substances,
Figure BDA0003874658100000184
is the admittance of the new generator,
Figure BDA0003874658100000185
to add elements of the impedance matrix before the new generator,
Figure BDA0003874658100000186
is the impedance of the new generator.
The second matrix unit may include:
a second matrix subunit, configured to execute the following formula to calculate a variation of an element of a second impedance matrix equation after a new line and/or a new voltage transformation is added to the power distribution network in the planning scheme, relative to a diagonal element of an impedance matrix before the new line and/or the new voltage transformation is added to the power distribution network
Figure BDA0003874658100000187
Figure BDA0003874658100000188
Figure BDA0003874658100000189
Wherein the content of the first and second substances,
Figure BDA00038746581000001810
adding the variation quantity of the elements of the second impedance matrix equation after the new line and/or the new transformation to the power distribution network relative to the diagonal elements ij of the impedance matrix before the new line and/or the new transformation is added to the power distribution network,
Figure BDA0003874658100000191
to add new lines and/or elements of the impedance matrix before the new transformation,
Figure BDA0003874658100000192
is the impedance of the new line and/or the new transformer.
The modeling module 23 may include:
the system comprises a target function unit, a data processing unit and a data processing unit, wherein the target function unit is used for executing a target function for establishing a dynamic expansion planning model of the power distribution network based on line data, generator data and cost data;
and the constraint unit is used for executing a constraint equation for establishing a dynamic expansion planning model of the power distribution network based on the line data, the generator data and the cost data.
The objective function unit may include:
the objective function subunit is used for executing an objective function of establishing a dynamic extended planning model of the power distribution network by using the following formula:
Figure BDA0003874658100000193
wherein C is the cost of the objective function; l and g are indexes of lines and generators in the power distribution network respectively; u is a voltage class index; t is the number of scheduling time segments; c is the number of split conductors of the candidate line in the planning scheme; d is a load demand level index; gamma is the investment reduction rate;
Figure BDA0003874658100000194
investment cost of a candidate line l of a rated voltage u and a split conductor number c;
Figure BDA0003874658100000195
is the investment cost of the candidate generator g;
Figure BDA0003874658100000196
for the network power loss at time t of the load demand level d,
Figure BDA0003874658100000197
the active power output of the generator g in the time period t is generated under the load demand level d; OC g The running cost of the generator g is calculated; x is the number of l,u,c,t Is a variable from 0 to 1, if at time t, the voltage level is u, the number of split conductors is c l,u,c,t =1, otherwise x l,u,c,t ＝0；y g,t Is a variable of 0-1, if there is a generator g, y in the period t g,t =1; otherwise y g,t ＝ 0；π t The value of the energy loss in the t stage is; tau. d The duration (hours) of the load demand level d.
The constraint unit may include:
and the constraint subunit is used for establishing candidate lines and candidate generator quantity constraints, candidate line rated voltage constraints, candidate line admittance constraints, transmission line branch flow constraints, transmission line capacity constraints, network power balance constraints, system safe operation constraints, candidate generator admittance constraints, branch admittance constraints related to the candidate lines, short-circuit current level constraints and diagonal element constraints for updating the impedance matrix after the candidate lines are newly added.
The power distribution network expansion planning device provided by the embodiment of the invention can execute the power distribution network expansion planning method provided by any embodiment of the invention, and has the corresponding functional modules and beneficial effects of the execution method.
EXAMPLE III
Fig. 3 shows a schematic structural diagram of a power distribution network extension planning apparatus 10 that can be used to implement an embodiment of the present invention. The distribution network extension planning apparatus is intended to represent various forms of digital computers, such as laptops, desktops, workstations, personal digital assistants, servers, blade servers, mainframes, and other suitable computers. The power distribution network extension planning apparatus may also represent various forms of mobile devices, such as personal digital assistants, cellular phones, smart phones, wearable devices (e.g., helmets, glasses, watches, etc.), and other similar computing devices. The components shown herein, their connections and relationships, and their functions, are meant to be exemplary only, and are not meant to limit implementations of the inventions described and/or claimed herein.
As shown in fig. 3, the power distribution network expansion planning apparatus 10 includes at least one processor 11, and a memory communicatively connected to the at least one processor 11, such as a Read Only Memory (ROM) 12, a Random Access Memory (RAM) 13, and the like, where the memory stores a computer program executable by the at least one processor, and the processor 11 may perform various suitable actions and processes according to the computer program stored in the Read Only Memory (ROM) 12 or the computer program loaded from a storage unit 18 into the Random Access Memory (RAM) 13. In the RAM 13, various programs and data necessary for the operation of the distribution network extension planning apparatus 10 can also be stored. The processor 11, the ROM 12, and the RAM 13 are connected to each other via a bus 14. An input/output (I/O) interface 15 is also connected to bus 14.
A plurality of components in the distribution network extension planning apparatus 10 are connected to the I/O interface 15, including: an input unit 16 such as a keyboard, a mouse, or the like; an output unit 17 such as various types of displays, speakers, and the like; a storage unit 18 such as a magnetic disk, an optical disk, or the like; and a communication unit 19 such as a network card, modem, wireless communication transceiver, etc. The communication unit 19 allows the distribution network extension planning apparatus 10 to exchange information/data with other apparatuses via a computer network such as the internet and/or various telecommunication networks.
The processor 11 may be a variety of general and/or special purpose processing components having processing and computing capabilities. Some examples of processor 11 include, but are not limited to, a Central Processing Unit (CPU), a Graphics Processing Unit (GPU), various dedicated Artificial Intelligence (AI) computing chips, various processors running machine learning model algorithms, a Digital Signal Processor (DSP), and any suitable processor, controller, microcontroller, and so forth. The processor 11 performs the various methods and processes described above, such as the power distribution network extension planning method.
In some embodiments, the power distribution network extension planning method may be implemented as a computer program tangibly embodied on a computer-readable storage medium, such as storage unit 18. In some embodiments, part or all of the computer program may be loaded and/or installed onto the power distribution network extension planning apparatus 10 via the ROM 12 and/or the communication unit 19. When the computer program is loaded into RAM 13 and executed by processor 11, one or more steps of the power distribution network extension planning method described above may be performed. Alternatively, in other embodiments, the processor 11 may be configured to perform the power distribution network extension planning method by any other suitable means (e.g., by means of firmware).
Various implementations of the systems and techniques described here above may be implemented in digital electronic circuitry, integrated circuitry, field Programmable Gate Arrays (FPGAs), application Specific Integrated Circuits (ASICs), application Specific Standard Products (ASSPs), system on a chip (SOCs), load programmable logic devices (CPLDs), computer hardware, firmware, software, and/or combinations thereof. These various embodiments may include: implemented in one or more computer programs that are executable and/or interpretable on a programmable system including at least one programmable processor, which may be special or general purpose, receiving data and instructions from, and transmitting data and instructions to, a storage system, at least one input device, and at least one output device.
A computer program for implementing the methods of the present invention may be written in any combination of one or more programming languages. These computer programs may be provided to a processor of a general purpose computer, special purpose computer, or other programmable data processing apparatus, such that the computer programs, when executed by the processor, cause the functions/acts specified in the flowchart and/or block diagram block or blocks to be performed. A computer program can execute entirely on a machine, partly on a machine, as a stand-alone software package partly on a machine and partly on a remote machine or entirely on a remote machine or server.
In the context of the present invention, a computer-readable storage medium may be a tangible medium that can contain, or store a computer program for use by or in connection with an instruction execution system, apparatus, or device. A computer readable storage medium may include, but is not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any suitable combination of the foregoing. Alternatively, the computer readable storage medium may be a machine readable signal medium. More specific examples of a machine-readable storage medium would include an electrical connection based on one or more wires, a portable computer diskette, a hard disk, a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a compact disc read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing.
To provide for interaction with users, the systems and techniques described herein may be implemented on a distribution network expansion planning device having: a display device (e.g., a CRT (cathode ray tube) or LCD (liquid crystal display) monitor) for displaying information to a user; and a keyboard and a pointing device (e.g., a mouse or a trackball) by which a user may provide input to the distribution network extension planning apparatus. Other kinds of devices may also be used to provide for interaction with a user; for example, feedback provided to the user can be any form of sensory feedback (e.g., visual feedback, auditory feedback, or tactile feedback); and input from the user may be received in any form, including acoustic, speech, or tactile input.
The systems and techniques described here can be implemented in a computing system that includes a back-end component (e.g., as a data server), or that includes a middleware component (e.g., an application server), or that includes a front-end component (e.g., a user computer having a graphical user interface or a web browser through which a user can interact with an implementation of the systems and techniques described here), or any combination of such back-end, middleware, or front-end components. The components of the system can be interconnected by any form or medium of digital data communication (e.g., a communication network). Examples of communication networks include: local Area Networks (LANs), wide Area Networks (WANs), blockchain networks, and the internet.
The computing system may include clients and servers. A client and server are generally remote from each other and typically interact through a communication network. The relationship of client and server arises by virtue of computer programs running on the respective computers and having a client-server relationship to each other. The server can be a cloud server, also called a cloud computing server or a cloud host, and is a host product in a cloud computing service system, so that the defects of high management difficulty and weak service expansibility in the traditional physical host and VPS service are overcome.
It should be understood that various forms of the flows shown above may be used, with steps reordered, added, or deleted. For example, the steps described in the present invention may be executed in parallel, sequentially, or in different orders, and are not limited herein as long as the desired results of the technical solution of the present invention can be achieved.
The above-described embodiments should not be construed as limiting the scope of the invention. It should be understood by those skilled in the art that various modifications, combinations, sub-combinations and substitutions may be made in accordance with design requirements and other factors. Any modification, equivalent replacement, and improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (10)

1. A power distribution network expansion planning method is characterized by comprising the following steps:
acquiring line data, generator data and cost data of a power distribution network in a planning scheme, wherein the line data comprises short-circuit current thresholds of a line and a transformer;
establishing an impedance matrix equation of the power distribution network based on the line data and the generator data;
establishing a dynamic expansion planning model of the power distribution network meeting the short circuit current threshold limit based on the line data, the generator data, the cost data and the impedance matrix equation;
and carrying out linearization processing on the dynamic expansion planning model, and solving to obtain the number of the optimized split conductors of the power distribution network and the optimal rated voltage of the newly added generator and the bus.
2. The power distribution network extension planning method of claim 1, wherein the establishing an impedance matrix equation of the power distribution network based on the line data and the generator data comprises:
establishing a first impedance matrix equation after a new generator is added to the power distribution network in the planning scheme;
and establishing a second impedance matrix equation after a new line and/or a new transformer is added to the power distribution network in the planning scheme.
3. The power distribution network expansion planning method according to claim 2, wherein the establishing of the first impedance matrix equation after adding the new generator to the power distribution network in the planning scheme comprises:
the method comprises the steps of calculating the variation quantity of elements of a first impedance matrix equation of a power distribution network after a new generator is added in a planning scheme relative to diagonal elements of an impedance matrix of the power distribution network before the new generator is added by using the following formula
Figure FDA0003874658090000011
Figure FDA0003874658090000012
Figure FDA0003874658090000013
Wherein the content of the first and second substances,
Figure FDA0003874658090000014
is the admittance of the new generator,
Figure FDA0003874658090000015
to add elements of the impedance matrix before the new generator,
Figure FDA0003874658090000016
is the impedance of the new generator.
4. The power distribution network expansion planning method according to claim 2, wherein the establishing of the second impedance matrix equation after adding a new line and/or a new transformer to the power distribution network in the planning scheme includes:
calculating the variation quantity of the elements of a second impedance matrix equation after a new line and/or new voltage transformation is added to the power distribution network in a planning scheme relative to the diagonal elements of the impedance matrix before the new line and/or the new voltage transformation is added to the power distribution network by using the following formula
Figure FDA0003874658090000021
Figure FDA0003874658090000022
Figure FDA0003874658090000023
Wherein the content of the first and second substances,
Figure FDA0003874658090000024
adding new lines to a power distribution network andand/or the variation of the element of the second impedance matrix equation after the new transformation with respect to the diagonal element ij of the impedance matrix before the new transformation and/or the addition of the new line to the power distribution network,
Figure FDA0003874658090000025
to add the elements of the new line and/or the impedance matrix before the new transformation,
Figure FDA0003874658090000026
is the impedance of the new line and/or the new voltage transformation.
5. The power distribution network expansion planning method according to claim 1, wherein the building of the dynamic expansion planning model of the power distribution network based on the line data, the generator data and the cost data comprises:
establishing an objective function of a dynamic extended planning model of the power distribution network based on the line data, the generator data and the cost data;
and establishing a constraint equation of a dynamic extended planning model of the power distribution network based on the line data, the generator data and the cost data.
6. The method according to claim 5, wherein the establishing an objective function of a dynamic extended planning model of the power distribution network based on the line data, the generator data and the cost data comprises:
establishing an objective function of a dynamic extended planning model of the power distribution network by using the following formula:
Figure FDA0003874658090000027
wherein C is the cost of the objective function; l and g are respectively indexes of lines and generators in the power distribution network; u is a voltage class index; t is the number of scheduling time segments;c is the number of split conductors of the candidate line in the planning scheme; d is a load demand level index; gamma is the investment reduction rate;
Figure FDA0003874658090000031
investment cost of a candidate line l of a rated voltage u and a split conductor number c;
Figure FDA0003874658090000032
is the investment cost of the candidate generator g;
Figure FDA0003874658090000033
for the network power loss at time t of the load demand level d,
Figure FDA0003874658090000034
the active power output of the generator g in the time period t is generated under the load demand level d; OC g The running cost of the generator g is calculated; x is the number of l,u,c,t Is a variable from 0 to 1, if at time t, the voltage level is u, the number of split conductors is c l,u,c,t =1, otherwise x l,u,c,t ＝0；y g,t Is a variable of 0-1, if there is a generator g, y in the period t g,t =1; otherwise y g,t ＝0；π t The value of the energy loss in the t stage is; tau is d The duration (hours) of the load demand level d.
7. The method according to claim 5, wherein the establishing a constraint equation of a dynamic extended planning model of the power distribution network based on the line data, the generator data and the cost data comprises:
establishing candidate lines and candidate generator quantity constraints, candidate line rated voltage constraints, candidate line admittance constraints, transmission line branch flow constraints, transmission line capacity constraints, network power balance constraints, system safe operation constraints, candidate generator admittance constraints, branch admittance constraints related to the candidate lines, short circuit current level constraints, diagonal element constraints of an updated impedance matrix after the candidate lines are newly added.
8. The utility model provides a distribution network extension planning device which characterized in that includes:
the acquisition module is used for executing and acquiring line data, generator data and cost data of the power distribution network in the planning scheme;
a matrix module for executing an impedance matrix equation for establishing a power distribution network based on the line data and the generator data;
a modeling module for executing a dynamic extended planning model for the power distribution network based on the line data, the generator data, and the cost data;
and the solving module is used for performing linear processing on the dynamic expansion planning model and solving to obtain the number of the optimized split conductors of the power distribution network and the optimal rated voltage of the newly added generator and bus.
9. An extended planning apparatus for a power distribution network, the apparatus comprising:
at least one processor; and
a memory communicatively coupled to the at least one processor; wherein, the first and the second end of the pipe are connected with each other,
the memory stores a computer program executable by the at least one processor to enable the at least one processor to perform the power distribution network extension planning method of any of claims 1-7.
10. A computer-readable storage medium storing computer instructions for causing a processor to implement the method for power distribution network extension planning of any of claims 1-7 when executed.
CN202211209563.2A 2022-09-30 2022-09-30 Power distribution network extension planning method, device, equipment and storage medium Pending CN115528746A (en)

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