CN110738411A - Reliability analysis method for power distribution network typical wiring modes - Google Patents

Reliability analysis method for power distribution network typical wiring modes Download PDF

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CN110738411A
CN110738411A CN201910967967.XA CN201910967967A CN110738411A CN 110738411 A CN110738411 A CN 110738411A CN 201910967967 A CN201910967967 A CN 201910967967A CN 110738411 A CN110738411 A CN 110738411A
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power supply
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supply path
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CN110738411B (en
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李宏仲
董明枫
陶淳逸
付国
张仪
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Shanghai Electric Power University
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    • G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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    • G06Q50/06—Electricity, gas or water supply
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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    • Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S10/00—Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications

Abstract

The invention provides a reliability analysis method of typical wiring modes of a power distribution network, which comprises the steps of firstly calculating the 'number of switching loops' of various typical wiring modes, secondly calculating the power failure time of each load on a main supply path and a non-main supply path, and finally calculating reliability indexes.

Description

Reliability analysis method for power distribution network typical wiring modes
Technical Field
The invention relates to a reliability analysis method for power distribution network typical wiring modes, and belongs to the technical field of power systems.
Background
The main factors influencing the reliability of power supply have multiple aspects, because China is in the rapid economic development period, cities are continuously expanded, engineering construction is which is the main factor causing power failure, the proportion of fault power failure is low, the reliability level can be improved by the technology and management means at present, and the gap between the engineering construction and developed countries is reduced.
In the existing power distribution network reliability analysis patents, aiming at a power distribution network wiring mode, simple and effective methods for analyzing reliability are few, Sun Chong, Chua Weijun, a power distribution network reliability evaluation method based on a line segment model [ P ] Chinese patent CN106981876A,2017-07-25, power distribution network reliability evaluation methods based on the line segment model are provided, analysis results of line segment model analysis components are fused, a basic calculation example is given by combining reliability indexes of large data analysis, then a fault mode consequence analysis method is used for carrying out reliability evaluation, when the system scale is large, the whole model is complex, the calculation amount is huge, even results cannot be calculated, Chua Wei, Syngnathus, Xuyushui, and the like, power distribution network operation and power supply reliability evaluation methods and systems [ P ] Chinese patents CN107305648A,2017-10-31, operation and power supply reliability evaluation methods and systems are provided, equipment outage models are designed according to influences of equipment aging factors and incomplete preventive maintenance factors on equipment fault conditions, equipment reliability evaluation methods and systems are provided, equipment reliability evaluation methods and reliability evaluation methods for power distribution networks based on IERoman-10-3-10-31 are provided, even more reliability evaluation methods for power distribution networks are provided according to equipment aging factors of special maintenance factors of power distribution networks, reliability calculation methods and reliability evaluation methods for networks, such as compared with IELMA-18-3-MEA calculation methods, a simplified neural network reliability calculation methods for networks, a simplified neural network reliability calculation, a simplified neural network reliability evaluation method for networks, a simplified neural network reliability evaluation method for a simplified neural network reliability.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: the existing power distribution network reliability analysis method is large in calculation amount and long in calculation time.
In order to solve the technical problems, the technical scheme of the invention is to provide a reliability analysis method for power distribution network typical wiring modes, which is characterized by comprising the following steps:
step 1, calculating the number of upstream switch ring sections and the number of downstream switch ring sections of various typical wiring modes, wherein the number of the upstream switch ring sections refers to the sum of the number of switches on a main power supply path from all load points to a power supply point, and the number of the downstream switch ring sections refers to the sum of the number of switches on a non-main power supply path from all load points to the power supply point;
step 2, calculating the power failure time R of each load on the main power supply path in various typical wiring modes by utilizing the number of the upstream switch links and the number of the downstream switch links1And the power failure time R of each load on the non-main supply path3Wherein the power failure time R1The influence of the minimum on-path elements from each load to the power supply point on each load is accumulated, and the power failure time R3The influence of elements on each load to the non-minimum power supply point on each load is accumulated;
step 3, according to the power failure time R1And power off time R3And calculating the reliability indexes of various typical wiring modes.
Preferably, in step 1, for ease of description, the following definitions are introduced:
number of ring segments: the sum of the number of switches and lines on the main supply path from the load point to the power point. The main power supply path of the load 10 is shown in block a of the drawings of the specification, and the main power supply path of the load point 1 is shown in block B.
Number of switch ring segments (K)i): the sum of the number of switches on the main supply path from the load point to the power point.
The total number of the switch devices is the sum of all the switches in groups of wiring modes.
Total switch ring number (K): is the sum of the switch ring sections of all load points in the system. And accumulating the switch link numbers of each load point when calculating the total switch link number in the power failure time formula.
Preferably, in step 1, for m groups of three-segment two-connection consisting of n loads, the number of nodes of the upstream switch ring is 2n, and the number of nodes of the downstream switch ring is 2n
Figure BDA0002231124990000021
For a single ring network consisting of m groups of n loads, the number of the upstream switch ring sections is equal to
Figure BDA0002231124990000022
The number of the ring sections of the downstream switch isFor m-group double-ring network consisting of n loads, the number of the upstream switch ring sections is equal to
Figure BDA0002231124990000031
The number of the ring sections of the downstream switch is
Figure BDA0002231124990000032
For a standard multi-division multi-connection network consisting of m groups of n loads, the number of the upstream switch ring sections is equal to
Figure BDA0002231124990000033
The number of the ring sections of the downstream switch is
Figure BDA0002231124990000034
Preferably, in step 2, for m groups of three segments consisting of n loads, two connections are made:
Figure BDA0002231124990000035
in the formula, λsTo the failure rate of the switch, lambdalTo the line fault rate, LiThe line length from the ith load point to the main power supply path of the power supply is calculated; t is trRestoring power supply time for the fault;
for a single ring network consisting of m groups of n loads:
for an m-set double ring network consisting of n loads:
Figure BDA0002231124990000037
for a standard multi-split multi-contact network consisting of n loads:
preferably, in step 2, for m groups of three segments consisting of n loads, two connections are made:
Figure BDA0002231124990000039
in the formula, λsTo the failure rate of the switch, lambdalTo the line fault rate, Li 3The length of a line on the non-main power supply path is the ith load point; t is trRestoring power supply time for the fault;
for a single ring network consisting of m groups of n loads:
for an m-set double ring network consisting of n loads:
Figure BDA00022311249900000311
for a standard multi-split multi-contact network consisting of n loads:
Figure BDA00022311249900000312
preferably, the reliability index includes: mean time to failure
Figure BDA0002231124990000041
In the formula (I), the compound is shown in the specification,
Figure BDA0002231124990000042
indicating the power failure time caused by the main supply path at the ith node,
Figure BDA0002231124990000043
representing the time of power failure, N, caused by a non-main supply path at the ith nodeiRepresenting the number of users at the ith node; reliability of power supplyExpected value of insufficient battery (ENSI) is SAIDI multiplied by LD，LDRepresenting the total load on the system.
The invention calculates the power failure time of each load on the main supply path and the non-main supply path of various typical wiring modes, thereby analyzing the reliability of the typical wiring modes. Wherein R is1The influence of the 'main supply path' on the reliability index is reflected, the influence of elements on the minimum path from the equivalent load point (load point) to the power supply point (branch power supply point) on the equivalent load point (load point) is accumulated by the formula, the more the minimum path links are, the higher the probability of fault occurrence in normal operation is, and the larger the influence on the load point (equivalent load point) is. R3The influence of the non-main supply path on the reliability index is reflected, and the formula accumulates the influence of the non-minimum on-path element on a to-be-solved load point (equivalent load point). R ═ R1+R3The total system outage time is calculated from the topology and equipment parameter perspective of the typical wiring pattern.
The invention provides methods for analyzing the reliability of the typical wiring mode of the power distribution network aiming at the problems of large calculation amount and long calculation time in the background technology, the invention pushes the typical wiring to - , and under the condition of n loads, the power failure time of the typical wiring mode in the aspects of 'main supply path' and 'non-main supply path' is quantitatively calculated, thereby deeply analyzing the correlation between the power failure time of the system and the power supply reliability, and having great practical value.
Drawings
FIG. 1 is a flow chart of an exemplary wiring pattern reliability analysis method of the present invention;
FIG. 2 is a single ring network topology diagram;
FIGS. 3A and 3B are standard single ring network topologies;
fig. 4A and 4B are a single ring network and a double ring network;
FIGS. 5A and 5B are standard single ring network topologies;
FIG. 6 is a multi-segmented multi-contact topology;
fig. 7 is a three-segment two-contact topology.
Detailed Description
The invention is further illustrated at in conjunction with specific examples, it being understood that these examples are intended only to illustrate the invention and not to limit the scope of the invention.
The reliability analysis method for the power distribution network typical wiring modes provided by the invention comprises the following contents:
reliability analysis in terms of "main supply path
As shown in fig. 2, the single-ring network can obtain, according to the power supply reliability calculation principle:
the main power supply path power failure time calculation formula at the point a is as follows:
Ra 1＝(Kaλs+Laλl)tr(1)
the main power supply path power failure time calculation formula at the point b is as follows:
Rb 1＝(Kbλs+Lbλl)tr(2)
the main power supply path power failure time calculation formula of the point c is as follows:
Rc 1＝(Kcλs+Lcλl)tr(3)
the following can be obtained:
R1＝Ra 1+Rb 1+Rc 1＝[λs(Ka+Kb+Kc)+λl(La+Lb+Lc)]tr(4)
in the formula: lambda [ alpha ]sFor the failure rate of the switch (time/station/year))；Ka、KbAnd KcThe number of switches from the load points a, b and c to the main power supply path of the power supply is respectively; lambda [ alpha ]lLine failure rate (sub/km.year); l isa、LbAnd LcThe line lengths from the load points a, b and c to the main power supply path of the power supply point are respectively; t is trAnd restoring the power supply time for the fault.
When n loads form groups of standard single ring networks, the power failure time of the main power supply path of the system is as follows:
Figure BDA0002231124990000051
in the formula: l isiThe line length from the ith load point to the main power supply path of the power supply is calculated; kiThe number of switches on the main power supply path from the ith load point to the power supply.
For ease of description, the following definitions are introduced:
number of ring segments: the sum of the number of switches and lines on the main supply path from the load point to the power point. The main power supply path of the load 10 is shown in block a of the drawings of the specification, and the main power supply path of the load point 1 is shown in block B.
Number of switch ring segments (K)i): the sum of the number of switches on the main supply path from the load point to the power point.
The total number of the switch devices is the sum of all the switches in groups of wiring modes.
Total switch ring number (K): is the sum of the switch ring sections of all load points in the system. When the total number of the switch links in the power failure time formula is calculated, the total number of the switch links at each load point is obtained by accumulation, and the calculation formula is as follows:
K＝∑Ki(6)
as shown in fig. 3A and fig. 3B, if m groups of single ring networks are formed by n loads, that is, the number of loads connected to each group of single ring networks is n/m, and at this time, the total number of outgoing lines of the power supply is 2 m. Thus, it is possible to obtain: when the number of the loads is n, the maximum number of the switching ring sections of the m groups of single-ring networks is
Figure BDA0002231124990000061
The minimum number of switching ring segments is 2.
Therefore, when the number of the loads is n to form m groups of single ring networks, the sum calculation formula of the numbers of the switching links of all load points is as follows:
Figure BDA0002231124990000062
namely power-off time:
Figure BDA0002231124990000063
as shown in fig. 4A and 4B, since the position of each load point is fixed, the power supply distance from each load point to the power supply point is approximately considered to be constant, that is, in the formula:
Figure BDA0002231124990000064
middle LiAnd n is kept constant and when the line fault rate lambda islWhen fixed, KiMainly resulting in system outage time variations.
As shown in FIG. 4B, if the dual ring network is composed of m sets of single ring networks formed by n loads, i.e. the number of the loads connected to each set of single ring network is n/m, the total outgoing line number of the power supply is 4m, the load points with the largest number of the switch links are 9 and 10, the load points with the smallest number of the switch links are 1 and 2, and it can be seen from FIG. 4A and FIG. 4B that the load carried by each outgoing line of the dual ring network is half of the single ring network, therefore, the largest number of the switch links is half of the single ring network
Figure BDA0002231124990000065
The minimum number of switching ring segments is 2.
Therefore, when the number of loads is n to form m groups of double-loop networks, the calculation formula of the total number of switch loops of the system is as follows:
Figure BDA0002231124990000071
the power failure time is as follows:
Figure BDA0002231124990000072
as shown in FIG. 6, if m groups of standard multi-division multi-connection networks are formed by n loads, namely, the number of the connected loads in each group is n/m, and the total outgoing line number of the power supply is 16m, because groups of multi-division multi-connection networks are 8 times more than the outgoing line number of the power supply of groups of single ring networks, namely, the load on each outgoing line is reduced by 8 times under the same load number, the maximum number of switching ring sections is obtained
Figure BDA0002231124990000073
The minimum number of switching ring segments is 2.
The calculation formula of the total ring number of the switch is as follows:
Figure BDA0002231124990000074
the power failure time is as follows:
Figure BDA0002231124990000075
as shown in fig. 7, in the three-segment two-connection mode, if m groups of three-segment two-connection networks are formed by n loads, that is, the number of the connected loads in each group is n/m, and the total number of the power outlets is 4 m. In the figure, the load point 10 has the largest number of 3 switching elements, and the load points with the smallest number of switching elements are 1, 2, 3 and 1. Namely: when the number of the loads is n, the maximum number of the switching ring sections is 3, and the minimum number of the switching ring sections is 1.
Therefore, when the load number is n to form m groups of three-section two-connection networks, the calculation formula of the total number of the switch loops of the system is as follows:
Figure BDA0002231124990000076
the power failure time is as follows:
reliability analysis in terms of secondary and non-primary supply paths
Slave 'non-master supply path' power off time R3From the viewpoint of the reliability, the correlation between the power failure time and the reliability due to the non-main power supply path, that is, the downstream fault is studied.
As shown in fig. 2, the single-ring network can obtain, according to the power supply reliability calculation principle:
the power failure time calculation formula caused by the downstream fault of the point a is as follows:
Ra 3＝(Ka 3λs+La 3λl)tr(15)
the power failure time calculation formula caused by the downstream fault of the point b is as follows:
Rb 3＝(Kb 3λs+Lb 3λl)tr(16)
the power failure time calculation formula caused by the downstream fault of the point c is as follows:
Rc 3＝(Kc 3λs+Lc 3λl)tr(17)
the following can be obtained:
R3＝Ra 3+Rb 3+Rc 3＝[λs(Ka 3+Kb 3+Kc 3)+λl(La 3+Lb 3+Lc 3)]tr(18)
in the formula: lambda [ alpha ]sSwitching failure rate (next/station/year); ka 3、Kb 3And Kb 3The number of switches from the load points a, b and c to the non-main power supply path; lambda [ alpha ]lLine failure rate (sub/km.year); l isa 3、Lb 3And Lc 3Load points a, b, c are not the line lengths on the main power supply path, respectively; t is trRestoring power supply time for a fault。
When n loads form groups of standard single ring networks, the power failure time of the non-main power supply path of the system is as follows:
Figure BDA0002231124990000081
in the formula: l isi 3The length of a line on the non-main power supply path is the ith load point; ki 3The ith load point is not the number of switches on the main power supply path.
In fig. 5A and 5B, the non-main power supply path of the load point 1 is a circled portion of the frame a, and when the number of loads is n to form m groups of single ring networks, the calculation formula of the sum of the numbers of the ring nodes of the switches on the non-main power supply paths of all load points is:
Figure BDA0002231124990000082
namely power-off time:
the reliability analysis process for the other wiring patterns is similar to the above, and the results of each wiring pattern analysis are shown in the following table.
TABLE 1 statistical table of wiring modes
Figure BDA0002231124990000091
The blackout times in terms of "main supply path" and "non-main supply path" for a typical wiring pattern are calculated, and then a reliability index is calculated, as shown in the following table.
TABLE 2 relation table of blackout time and reliability index for "main supply path" and "non-main supply path
Figure BDA0002231124990000092
As shown in fig. 5 to 7, the single-ring network connection, multi-division multi-connection, and three-section two-connection are respectively provided in a certain area, the average length of each section of the line is 800 meters, the number of loads n is 40, and 2 groups of single-ring networks, 1 group of multi-division multi-connection (cable network), and 1 group of three-section two-connection (overhead network) are respectively formed, and the load prediction is 100 MW., and only the influence caused by faults is considered in the evaluation process, and only the power failure caused by the faults is considered.
TABLE 3 device reliability parameters
Figure BDA0002231124990000102
For the single ring network, if m is 2 and n is 40, the power failure time is:
Figure BDA0002231124990000103
Figure BDA0002231124990000104
for multi-segment multi-contact, if m is 1 and n is 40, the power failure time is known as follows:
Figure BDA0002231124990000105
Figure BDA0002231124990000106
for three-segment two-contact, if m is 1 and n is 40, the power failure time is:
Figure BDA0002231124990000107
Figure BDA0002231124990000108
and calculating a reliability index according to the power failure time in the aspects of the 'main supply path' and the 'non-main supply path' obtained by rapid estimation, wherein the result is shown in the following table.
TABLE 4 reliability index calculation results
SAIDI(h) ASAI(％) ENSI(kWh)
Single ring network 0.364 99.995845％ 36400
Multi-split multi-contact 0.0682 99.999221％ 6820
Three-segment two-contact 0.012225 99.999860％ 1222.5

Claims (5)

1, reliability analysis method of typical wiring mode of distribution network, characterized by comprising the following steps:
step 1, calculating the number of upstream switch ring sections and the number of downstream switch ring sections of various typical wiring modes, wherein the number of the upstream switch ring sections refers to the sum of the number of switches on a main power supply path from all load points to a power supply point, and the number of the downstream switch ring sections refers to the sum of the number of switches on a non-main power supply path from all load points to the power supply point;
step 2, calculating the power failure time R of each load on the main power supply path in various typical wiring modes by utilizing the number of the upstream switch links and the number of the downstream switch links1And the power failure time R of each load on the non-main supply path3Wherein the power failure time R1The influence of the minimum on-path elements from each load to the power supply point on each load is accumulated, and the power failure time R3The influence of elements on each load to the non-minimum power supply point on each load is accumulated;
step 3, according to the power failure time R1And power off time R3And calculating the reliability indexes of various typical wiring modes.
2. The method for analyzing the reliability of the typical wiring patterns of the power distribution networks as claimed in claim 1, wherein in step 1, for m groups of three-segment two-connection composed of n loads, the number of the upstream switch ring nodes is 2n, and the number of the downstream switch ring nodes is 2n
Figure FDA0002231124980000011
For a single ring network consisting of m groups of n loads, the number of the upstream switch ring sections is equal toThe number of the ring sections of the downstream switch is
Figure FDA0002231124980000013
For m-group double-ring network consisting of n loads, the number of the upstream switch ring sections is equal to
Figure FDA0002231124980000014
The number of the ring sections of the downstream switch is
Figure FDA0002231124980000015
For a standard multi-division multi-connection network consisting of m groups of n loads, the number of the upstream switch ring sections is equal to
Figure FDA0002231124980000016
The number of the ring sections of the downstream switch is
Figure FDA0002231124980000017
3. The method for analyzing the reliability of the typical wiring pattern of distribution networks according to claim 2, wherein in step 2, for m groups of three segments consisting of n loads, two contacts are:in the formula, λsTo the failure rate of the switch, lambdalTo the line fault rate, LiThe line length from the ith load point to the main power supply path of the power supply is calculated; t is trRestoring power supply time for the fault;
for a single ring network consisting of m groups of n loads:
Figure FDA0002231124980000021
for an m-set double ring network consisting of n loads:
Figure FDA0002231124980000022
for a standard multi-split multi-contact network consisting of n loads:
4. the distribution network typical wiring pattern reliability scores of claim 2The analysis method is characterized in that in the step 2, m groups of three sections consisting of n loads are connected in two ways:
Figure FDA0002231124980000024
in the formula, λsTo the failure rate of the switch, lambdalTo the line fault rate, Li 3The length of a line on the non-main power supply path is the ith load point; t is trRestoring power supply time for the fault;
for a single ring network consisting of m groups of n loads:
for an m-set double ring network consisting of n loads:
Figure FDA0002231124980000026
for a standard multi-split multi-contact network consisting of n loads:
Figure FDA0002231124980000027
5. the method for analyzing the reliability of the typical wiring patterns of the power distribution networks according to claim 1, wherein the reliability index includes mean time to failureIn the formula (I), the compound is shown in the specification,
Figure FDA0002231124980000029
indicating the power failure time caused by the main supply path at the ith node,
Figure FDA00022311249800000210
representing the time of power failure, N, caused by a non-main supply path at the ith nodeiRepresenting the number of users at the ith node; reliability of power supplyExpected value of insufficient battery (ENSI) is SAIDI multiplied by LD，LDRepresenting the total load on the system.
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