CN107169159B - Method for describing electrical parameters of distribution network line - Google Patents

Method for describing electrical parameters of distribution network line Download PDF

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CN107169159B
CN107169159B CN201710226809.XA CN201710226809A CN107169159B CN 107169159 B CN107169159 B CN 107169159B CN 201710226809 A CN201710226809 A CN 201710226809A CN 107169159 B CN107169159 B CN 107169159B
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郭亮
范瑞祥
王华云
李升健
郑蜀江
安义
刘蓓
陈琛
邓才波
李博江
熊丽霞
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Jiangxi Electric Power Co Ltd
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Electric Power Research Institute of State Grid Jiangxi Electric Power Co Ltd
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Abstract

A description method for distribution network line electrical parameters considers any line as a unified model: for any distribution network line, the lead of the distribution network line extends outwards by being erected on an electric pole; the distribution network line can be divided into a main line and branch lines, the branch lines have different lengths and different directions, and secondary branch lines are arranged below the branch lines; the types of the leads at each section can be different, and the lengths of the leads are different; there may also be a sectionalizer/branch switch on the conductor, and a distributed power supply on the secondary branch; for the lines of the hand-pulling type looped network, the lines of the above models can be regarded as being connected. The invention has a unified model and description method, and the electrical parameters of all lines can be obtained by the same format and are convenient to store; when circuit parameters need to be calculated, repeated inquiry of wire parameters and accumulated line length are not needed, the matrix is directly calculated, software can be quickly and accurately calculated, and calculation time is greatly simplified.

Description

Method for describing electrical parameters of distribution network line
Technical Field
The invention relates to a method for describing electric parameters of a distribution network line, and belongs to the technical field of power distribution networks.
Background
The distribution network line generally refers to a 10kV power supply line in a power system, and plays an important role in delivering electric energy to users. The distribution network line described by the method is visual and vivid, the electrical parameters of the line can be obtained by checking and calculating through searching a technical manual, the distribution network management tends to be more and more refined along with the development of the power grid, the conventional legend method cannot meet the requirements of the management and development of the distribution network, and the method is not practical in many aspects and has various defects. (1) In the method for describing the legend, different operation and maintenance management companies draw by different methods, wiring diagrams are not uniform, and the drawn information amount is different to a greater or lesser extent and cannot be used uniformly; (2) when the length of the wire is calculated, for different calculation line sections, the line lengths need to be accumulated respectively, the line lengths need to be accumulated one by one according to legends, and the repeated labor amount is large; (3) when circuit parameters need to be calculated, the calculation is more inconvenient, a technical manual needs to be inquired according to the types of various conducting wires to obtain the unit impedance of each type of circuit, meanwhile, manual map recognition is needed, manual accumulation is carried out on each section of circuit, and due to the fact that calculation is dispersed and manual map recognition is carried out, large-batch, rapid and accurate calculation of a computer cannot be achieved, and errors are easy to generate; (4) judging load distribution, obtaining the load distribution only in an estimation mode, needing a large amount of calculation if obtaining accurate distribution, and basically not obtaining accurate distribution results for complex lines; (5) when the line is modified, the single line diagram needs to be redrawn, and the modification workload is large.
Disclosure of Invention
The invention aims to solve the problem of the traditional method of describing distribution network lines, and discloses a method for describing electrical parameters of the distribution network lines.
The technical scheme of the invention is as follows: a description method for distribution network line electrical parameters considers any line as a unified model: for any distribution network line, the lead wire extends outwards by erecting on the electric pole (if the cable is used, the lead wire passes through the cable distribution box, and the function of the cable distribution box is equivalent to that of the electric pole, and the lead wire is called as the electric pole in the whole); the distribution network line can be divided into a main line and branch lines, the branch lines have different lengths and different directions, and secondary branch lines are arranged below the branch lines; the types of the leads at each section can be different, and the lengths of the leads are different; there may also be a section/branch switch on the conductor and a distributed power supply on the secondary branch.
The line data required by the method comprises: the base number of the electric poles, the length of the wires between the electric poles, the type of each section of wire, the position of each branch line and the capacity of each distribution transformer.
The method comprises the following steps:
(1) defining the line length matrix of the trunk line as a row vector:
G=[g1,g2,g3,…,gn]
wherein g is1The length of a wire between a first base electric pole and a transformer substation switch is obtained; giThe wire distance (m is taken as a unit) between the ith base electric pole and the previous base electric pole, and n is the maximum electric pole number of the main line; the trunk line may be represented by its line length matrix G.
(2) Defining the unit impedance matrix of the trunk line as a column vector:
ZG=[z1,z2,z3,…,zn]T
wherein z is1Impedance per unit length (unit omega/m) of a wire between a first base pole and a transformer substation switch; z is a radical ofiThe value of the element is determined by the type of the wire and the wire spacing for the unit length impedance of the wire between the ith base pole and the previous base pole, and the value of the element can be obtained by inquiring an electrical manual according to the actual wire and spacing if the ith base pole and the (i + m) th base pole areThe same type of wire is arranged between the rods, and the impedance matrix elements corresponding to the wire are all the same value, namely zi+1=zi+2=…=zi+m. The wire length matrix of the trunk line is equal to the element number of the unit length impedance matrix, and the element number is equal to the pole base number n of the trunk line.
(3) Defining a line length matrix of branch lines branched from an ith base line pole on the main line as a row vector:
Fi=[fi1,fi2,fi3,…,fini]
wherein fi1The wire lengths (unit is m) of the first base electric pole of the branch line and the electric pole corresponding to the branch line are taken as the wire lengths; fi (wireless fidelity)jAnd ni is the wire distance between the jth base electric pole of the branch line and the previous base electric pole, and is the maximum electric pole number of the branch line. The branch lines may be represented by their line length matrix Fi.
(4) For branch Fi, which also accompanies the wire unit length impedance matrix, the unit impedance matrix of branch Fi is defined as the column vector:
ZFi=[zfi1,zfi2,zfi3,…,zfini]T
wherein z is1Impedance per unit length (unit Ω/m) of a wire between a first base electric pole of a branch line Fi and an i-th base electric pole on a main line; z is a radical ofkThe impedance matrix element of the wire is zfi, if the k-th base rod and the k + m-th base rod are the same type of wire, the impedance matrix element corresponding to the wire is the same valuek+1=zfik+2=…=zfik+m. The number of elements of the line length matrix of the branch line is equal to the number of elements of the unit length impedance matrix, and the number of elements is equal to the electric pole base number ni of the branch line.
(5) Defining a line length matrix of a secondary branch on a jth base electric pole on a branch line Fi as a row vector:
Figure BDA0001265460970000031
wherein cfi1The length of a wire between the 1 st base electric pole of the secondary branch and the jth base electric pole of the branch line Fi is taken as m; fi (wireless fidelity)kThe wire distance between the kth base electric pole of the sub branch and the previous base electric pole is shown, and nj is the maximum electric pole number of the sub branch. The secondary branch line may be represented by its line length matrix CFi.
(6) The secondary branch CFi also has an accompanying wire unit length impedance matrix, which defines the unit impedance matrix of the secondary branch CFi as a column vector:
ZCFi=[zcfi1,zcfi2,zcfi3,…,zcfinj]T
wherein z is1Impedance per unit length (unit Ω/m) of a wire between the 1 st base pole of the sub branch CFi and the j-th base pole on the branch Fi; z is a radical ofkFor the unit length impedance of the wire between the kth base electric pole and the previous base electric pole of the secondary branch line, the value of the element is determined by the type and the distance of the wire, the value of the element can be obtained by inquiring an electrical manual according to the actual wire and the distance, if the kth base pole and the kth + m base pole are the same type of wire, the impedance matrix elements corresponding to the section of the wire are all the same value, namely zcfik+1=zcfik+2=…=zcfik+m. The wire length matrix of the secondary branch is equal to the element number of the unit length impedance matrix, and the wire length matrix and the unit length impedance matrix are equal to the electric pole base number nj of the secondary branch.
(7) In order to calculate and operate on a certain section of line, any vector X is defined, and a new vector formed by the ith element to the jth element (j > i) is taken as:
Figure BDA0001265460970000042
if the new matrix formed by the first 20 elements of the main line length matrix is still a row vector, the new matrix is recorded as:
G(1-20)=[g1,g2,g3,…,g20]
the unit impedance matrix of the main line is a matrix formed by 3 rd to 18 th elements of the column vector, which is also the column vector and is marked as ZG(3-18)=[z3,z4,z5,…,z18]T
(8) A capacity matrix P of the line is defined,
S=[s1,s2,s3,…,sn]
wherein s isiThe sum of the capacities of all distribution transformers (the unit is kVA) carried by the ith base electric pole on the main line through the branch line, and n is the maximum electric pole number of the main line.
The sum of the capacities S of the linesGComprises the following steps:
Figure BDA0001265460970000041
(9) if there is a section switch FD on the ith base bar on the main line G, it is recorded as:
FD:G-i.
if a distributed power source Pow is connected to a rod l on the CFj secondary branch line below the Fi branch line on the line, the method is recorded as:
Pow(S):CFj-l.
where S is the rated capacity (in kVA) of the distributed power supply.
The method for describing the electric parameters of the distribution network lines has the advantages that the method for describing the electric parameters of the distribution network lines uses a uniform principle to describe the information of the distribution network lines by using a matrix and a specified recording mode, and all the electric parameters of the distribution network lines can be described without drawing line patterns. The method provided by the invention establishes a description matrix and a description expression method through information such as the base number of electric poles of a circuit, the length of wires between the electric poles, the model number of each section of wire, the position of each branch line, the capacity of each distribution transformer and the like. After the data are given, the data are recorded and stored through a unified method.
The invention has a unified model and a description method, the electrical parameters of all lines can be obtained through the same format, the storage is convenient, a lot of convenience is provided for calculation, the length of any section of conducting wire is solved, and only simple operation is needed to be carried out on the description matrix of the line; when circuit parameters need to be calculated, the matrix is directly calculated without repeatedly inquiring the wire parameters and accumulating the line length, so that the software can be quickly and accurately calculated, and the calculation time is greatly simplified; the invention also provides convenience for judging the load distribution, and the load distribution characteristics can be easily obtained through software traversal calculation; when the line is reconstructed, the matrix data can be corresponding to the new line only by slightly modifying the matrix data, and the workload is extremely low.
Drawings
Fig. 1 is a schematic diagram of a distribution network line.
Detailed Description
In this embodiment, according to the method provided by the present invention, a description matrix and a description expression method are established for information such as the number of poles of a line, the length of wires between poles, the type of each segment of wire, the position of each branch line, and the capacity of each distribution transformer.
(1) The embodiment solves the wire length of each wire:
the total length of the wires of the wire trunk line G is:
Figure BDA0001265460970000061
githe wire distance (unit is m) between the ith base electric pole and the previous base electric pole;
the total length of the branch line Fi is:
Figure BDA0001265460970000062
fijthe wire distance (unit is m) between the jth base electric pole and the previous base electric pole of the branch line;
the total length of the minor branch CFi is:
Figure BDA0001265460970000063
fikthe wire distance between the kth base pole of the sub branch and the previous base pole.
(2) This embodiment operates on the line impedance and calculates the total line impedance Z at the mth base pole on the trunk linemComprises the following steps:
Figure BDA0001265460970000064
gjthe lead distance (unit is m) between the jth base electric pole and the previous base electric pole; z is a radical ofjFor unit length resistance of wire between jth base pole and previous base poleResisting;
the impedance value from the substation switch of the line to the jth base branch pole on the Fi branch is:
Figure BDA0001265460970000065
gkthe wire distance (unit is m) between the kth base electric pole and the previous base electric pole; z is a radical ofkImpedance per unit length of a wire between a kth base electric pole of the secondary branch and a previous base electric pole; fi (wireless fidelity)kThe wire distance between the kth base pole of the sub branch and the previous base pole.
(3) After a circuit is transformed, according to the transformation of an electric pole and a lead, the line length matrix and the unit impedance matrix of the circuit are changed differently:
(a) if the line pole is not changed, only the wire model between the mth base to the mth + r base pole is changed, the line length matrix is not changed, and the vector Z isGThe impedance matrix per unit length of the wire between the two electric poles will change, and the vector becomes:
Z1G=[z1,z2,z3,…,zm,zm+1,…zm+s,z(n+s-r)]T
ZGelement z in a vectorm+1~zm+rThe total r elements need to change according to the type of the wire;
(b) if the number of the electric poles is changed, the two matrixes need to be modified, the m-th base to the m + r-th base electric poles are dismantled and changed into the m-th base to the m + s-th base electric poles, and the total number of the electric poles is changed into the n + s-r base; this adaptation will change the G vector and the vector ZGThe s +1 elements associated with this newly created s-base rod, the two vectors become:
Figure BDA0001265460970000074
Z1G=[z1,z2,z3,…,zm,zm+1,…zm+s,z(n+s-r)]T
element G in the G vectorm~gm+rTotal of r +1 elements to be deleted, from gm~gm+sS +1 elements are replaced, and other elements are not changed, but the number of the elements is changed; same ZGElement z in a vectorm~zm+rA total of r +1 elements need to be deleted, consisting of zm~zm+sAnd s +1 elements are replaced, and other elements are not changed, but the numbers of the elements are changed.
(4) The present embodiment calculates the distribution of the trunk load capacity:
when the number of the electric pole which divides the total load capacity equally or in thirds on the main line needs to be known, the number can be obtained by operating the description matrix through software, the electric pole which divides the total load capacity equally on the main line is set as t,
traversing from the first base rod by using software, and enabling SG(1-i)The sum of the load capacities carried by the 1 st to ith base rods of the main line is as follows:
Figure BDA0001265460970000071
when in use
Figure BDA0001265460970000072
If so, let i equal to i +1, and continue to solve the new SG(1-i)
When in use
Figure BDA0001265460970000073
Stopping the traversing process, wherein the i is t, and the t-th base pole is the electric pole which is halved (or is closest to halved) in total capacity; sjThe sum of the capacities of all the distribution transformers carried by the j-th base electric pole on the main line through the branch line.
In the embodiment, the distribution network line information is described by using a matrix and a specified recording mode according to a uniform principle, and all electrical parameters of the distribution network line can be described without drawing a line pattern.

Claims (3)

1. A description method for distribution network line electrical parameters is characterized in that the method considers any line as a unified model: for any distribution network line, the lead of the distribution network line extends outwards by being erected on an electric pole; the distribution network line is divided into a main line and branch lines, the branch lines are different in length and direction, and secondary branch lines are arranged below the branch lines; the types of the leads at all sections are different, and the lengths of the leads are different; the wire is also provided with a segmentation/branch switch, and the secondary branch is also provided with a distributed power supply; regarding the lines of the hand-in-hand type formed looped network as the lines of the above models to be connected; the method comprises the following steps:
(1) defining the line length matrix of the trunk line as a row vector: g ═ G1,g2,g3,…,gn]Wherein g is1The length of a wire between a first base electric pole and a transformer substation switch is obtained; giTaking m as the lead distance between the ith base electric pole and the previous base electric pole; n is the maximum pole number of the main line; the trunk line is represented by its line length matrix G;
(2) defining the unit impedance matrix of the trunk line as a column vector: zG=[z1,z2,z3,…,zn]TWherein z is1Impedance per unit length, unit omega/m, of a wire between a first base pole and a transformer substation switch; z is a radical ofiThe unit length impedance of the wire between the ith base electric pole and the previous base electric pole, and the value of the element is determined by the type of the wire and the distance between the wires; if the ith basic rod and the (i + m) th basic rod are the same type of conducting wire, the impedance matrix elements corresponding to the conducting wire are all the same value, namely zi+1=zi+2=…=zi+m(ii) a The wire length matrix of the trunk line is equal to the element number of the unit length impedance matrix, and is equal to the pole base number n of the trunk line;
(3) defining a line length matrix of branch lines branched from an ith base line pole on the main line as a row vector: fi ═ Fi1,fi2,fi3,…,fini]Therein fi1Taking m as the unit for the wire lengths of the first base electric pole of the branch line and the electric pole corresponding to the branch line; fi (wireless fidelity)jThe wire distance between the jth base electric pole of the branch line and the previous base electric pole is set, and ni is the maximum electric pole number of the branch line; the branch line can be represented by its line length matrix Fi;
(4) for branch Fi, which also accompanies the wire unit length impedance matrix, the unit impedance matrix of branch Fi is defined as the column vector: zFi=[zfi1,zfi2,zfi3,…,zfini]TWherein z is1Impedance of unit length, unit omega/m, of a lead between a first base electric pole of a branch line Fi and an ith base electric pole on a main line; z is a radical ofkThe resistance per unit length of the wire between the kth base pole and the previous base pole of the branch line is determined by the wire type and the wire distance, if the wire of the same type is arranged between the kth base pole and the kth + m base pole, the resistance matrix elements corresponding to the wire of the section are all of the same value, namely zfik+1=zfik+2=…=zfik+m(ii) a The number of elements of the line length matrix of the branch line is equal to the number of elements of the unit length impedance matrix, and the elements are equal to the electric pole base number ni of the branch line;
(5) defining a line length matrix of a secondary branch on a jth base electric pole on a branch line Fi as a row vector:
Figure FDA0002298234450000021
wherein cfi1The length of a wire between the 1 st base electric pole of the secondary branch and the jth base electric pole of the branch line Fi is taken as m; fi (wireless fidelity)kThe wire distance between the kth base electric pole of the secondary branch and the previous base electric pole is determined, and nj is the maximum electric pole number of the secondary branch; the secondary branch line may be represented by its line length matrix CFi;
(6) the secondary branch CFi also has an accompanying wire unit length impedance matrix, which defines the unit impedance matrix of the secondary branch CFi as a column vector: zCFi=[zcfi1,zcfi2,zcfi3,…,zcfinj]TWherein z is1Impedance per unit length, unit Ω/m, of a wire between the 1 st base pole of the sub branch CFi and the jth base pole on the branch Fi; z is a radical ofkThe impedance per unit length of the wire between the kth base pole and the previous base pole of the secondary branch line is determined by the wire type and the wire spacing, and if the same type of wire is arranged between the kth base pole and the kth + mth base pole, the impedance matrix elements corresponding to the wire are all the same value, namely zcfik+1=zcfik+2=…=zcfik+m(ii) a The wire length matrix of the secondary branch is equal to the element number of the unit length impedance matrix, and the wire length matrix and the unit length impedance matrix are equal to the electric pole base number nj of the secondary branch;
(7) to facilitate computation and operation on a line segment, any vector X is defined, taking the ith element to the jth element (j)>i) Constructing a new vector is noted as:
Figure FDA0002298234450000022
if the new matrix formed by the first 20 elements of the main line length matrix is still a row vector, the new matrix is recorded as: g (1-20) ═ G1,g2,g3,…,g20]The unit impedance matrix of the trunk line is a matrix formed by the 3 rd to 18 th elements of the column vector, which is also a column vector and is marked as: zG(3-18)=[z3,z4,z5,…,z18]T
(8) A capacity matrix S of the line is defined,
S=[s1,s2,s3,…,sn]
wherein s isiThe sum of the capacities of all distribution transformers carried by the ith base pole on the main line through branch lines, wherein n is the maximum pole number of the main line; the sum of the capacities S of the linesGComprises the following steps:
Figure FDA0002298234450000031
(9) if there is a section switch FD on the ith base bar on the main line G, it is recorded as:
FD:G-i.
if a distributed power source Pow is connected to a rod l on the CFj secondary branch line below the Fi branch line on the line, the method is recorded as:
Pow(S):CFj-l.
where S is the rated capacity of the distributed power supply.
2. The method for describing the electrical parameters of the distribution network line according to claim 1, wherein when a line is modified, the method changes two matrixes differently according to the transformation conditions of the modified electric pole and the modified wire:
(a) if the line pole is not changed, only the wire model between the mth base to the mth + r base pole is changed, the line length matrix is not changed, and the vector Z isGThe impedance matrix per unit length of the wire between the two electric poles will change, and the vector becomes:
Z1G=[z1,z2,z3,…,zm,zm+1,…zm+s,z(n+s-r)]T
ZGelement z in a vectorm+1~zm+rA total of r elements need to be changed;
(b) if the number of the electric poles is changed, the two matrixes need to be modified, the m-th base to the m + r-th base electric poles are dismantled and changed into the m-th base to the m + s-th base electric poles, and the total number of the electric poles is changed into the n + s-r base; this adaptation will change the G vector and the vector ZGThe s +1 elements associated with this newly created s-base rod, the two vectors become:
Figure FDA0002298234450000032
Z1G=[z1,z2,z3,…,zm,zm+1,…zm+s,z(n+s-r)]T
element G in the G vectorm~gm+rTotal of r +1 elements to be deleted, from gm~gm+sS +1 elements are replaced, and other elements are not changed, but the number of the elements is changed; same ZGElement z in a vectorm~zm+rA total of r +1 elements need to be deleted, consisting of zm~zm+sAnd s +1 elements are replaced, and other elements are not changed, but the numbers of the elements are changed.
3. The method for describing the electrical parameters of the distribution network line according to claim 1, wherein the line data required by the method comprises: the base number of the electric poles, the length of the wires between the electric poles, the type of each section of wire, the position of each branch line and the capacity of each distribution transformer.
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