CN107332235A - A kind of platform area low-voltage control measures optimizing evaluation method based on improved TOPSIS - Google Patents

A kind of platform area low-voltage control measures optimizing evaluation method based on improved TOPSIS Download PDF

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CN107332235A
CN107332235A CN201710521726.3A CN201710521726A CN107332235A CN 107332235 A CN107332235 A CN 107332235A CN 201710521726 A CN201710521726 A CN 201710521726A CN 107332235 A CN107332235 A CN 107332235A
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voltage
mrow
scheme
control measures
platform area
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胡斌
王绪利
叶斌
陈煜�
赵锋
朱刘柱
代磊
任曦骏
杨欣
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State Grid Corp of China SGCC
Economic and Technological Research Institute of State Grid Anhui Electric Power Co Ltd
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State Grid Corp of China SGCC
Economic and Technological Research Institute of State Grid Anhui Electric Power 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
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • 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
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/12—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
    • 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
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

The present invention relates to a kind of platform area low-voltage control measures optimizing evaluation method based on improved TOPSIS, comprise the following steps：（1）Voltage evaluation index is built, the voltage evaluation index includes magnitude of voltage at node voltage qualification rate, node voltage maximum, node voltage minimum value and backbone 2/3；（2）According to voltage evaluation index, parameter improvement rate；（3）Low-voltage resolution is determined, standardizing goals decision matrix is built；（4）Build weighted normal objective decision matrix；（5）Determine the positive ideal solution and minus ideal result of weighted normal objective decision square；（6）Calculate each scheme and obtain distance with positive and negative ideal solution；（7）Calculate each scheme and solve relative note progress with positive ideal, obtain the sequence of scheme collection.The present invention is capable of the good and bad degree of the every control measures of effective evaluation, has certain reference significance to platform area low-voltage control.

Description

A kind of platform area low-voltage control measures optimizing evaluation method based on improved TOPSIS
Technical field
The invention belongs to low-voltage Treatment process field, and in particular to a kind of platform area low-voltage based on improved TOPSIS is controlled Reason measure optimizing evaluation method.
Background technology
The construction energetically for engineering of upgrading by country one, the second stage of upgrading of rural power grids, what Rural Electric Power infrastructure fell behind Situation is obviously improved, and rural power grids operation and management level is constantly lifted.However, limited by scale of investment and historic Limitation of Some Different, The extension of rural power grids is not high there is also design standard, and foundation construction is poor, the problems such as shortage is made rational planning for, relative to urban distribution network still There is a certain distance.The implementation of the Huimin policies such as fast development and " household electrical appliances are gone to the countryside " with rural economy society, some areas The problem of rural power grids power supply capacity is not enough is increasingly highlighted, and particularly low-voltage platform area is particularly acute, and shows as capacity of distribution transform deficiency, wire Section is less than normal, radius of electricity supply is longer, " seize by the throat, low-voltage " the problems such as protrude, these have become restricting rural area and enter one The key factor of development is walked, production and the living standard of numerous urban residents has been had a strong impact on.
The research to distribution network voltage quality problems primarily focuses on the application of new theory and new method at present, but for controlling The implementation result of reason measure but lacks corresponding evaluation measures so that electric power personnel often can only when being selected in face of multinomial measure ratio Determined according to working experience, cause whole low-voltage control to lack systematicness and specific aim.
The content of the invention
It is an object of the invention to provide a kind of low-voltage control measures optimizing evaluation side of platform area based on improved TOPSIS Method, is capable of the good and bad degree of the every control measures of effective evaluation, has certain reference significance to platform area low-voltage control.
To achieve the above object, present invention employs following technical scheme：
A kind of platform area low-voltage control measures optimizing evaluation method based on improved TOPSIS, comprises the following steps：
(1) voltage evaluation index is built, the voltage evaluation index includes node voltage qualification rate, and node voltage is maximum Magnitude of voltage at value, node voltage minimum value and backbone 2/3；
(2) according to voltage evaluation index, parameter improvement rate；
(3) low-voltage resolution is determined, standardizing goals decision matrix is built；
(4) weighted normal objective decision matrix is built；
(5) the positive ideal solution and minus ideal result of weighted normal objective decision square are determined；
(6) calculate each scheme and obtain distance with positive and negative ideal solution；
(7) calculate each scheme and solve relative note progress with positive ideal, obtain the sequence of scheme collection.
In such scheme, in step (2), the parameter improvement rate, using below equation：
Wherein, UijTo take j-th of desired value, U after i-th kind of control measures0jFor j-th of index initial value, UmaxFor most It is big to allow voltage.
In such scheme, in step (3), the structure standardizing goals decision matrix specifically includes following steps：
(31) objective decision matrix R is built：
Wherein, R=(rij)m×n, rijFor j-th of desired value of i-th of scheme；I=1,2 ..., m；J=1,2 ..., n, rij=Δ Uij；
(32) below equation is used, standardization processing is carried out to objective decision matrix, standardizing goals decision matrix is formed Z：
In such scheme, in step (4), the structure weighted normal objective decision matrix specifically includes following steps：
(41) judgment matrix is set up：
Wherein A=(aij) m × n, aijRepresent relative importances of the index i to index j；aij=1/aji；aii=1；i,j =1,2 ..., n；
(42) Maximum characteristic root of judgment matrix is calculated：
Wherein, λmaxFor the Maximum characteristic root of judgment matrix, ω represents characteristic vector；
(43) consistency check is carried out to the Maximum characteristic root of judgment matrix, next step is carried out if upchecking, otherwise Return to step (3)：
(44) below equation is used, weighted normal objective decision matrix is built:
V=(vij)m×n=(ωjzij)m×nI=1,2 ..., m；J=1,2 ..., n；
Wherein, ωjIt is characterized the element in vector.
In such scheme, in step (7), each scheme of calculating solves relative note progress with positive ideal, obtains scheme collection Sequence, is calculated using below equation and obtained：
Wherein, CiExpression scheme i aligns the relative similarity degree of ideal solution；CiIt is bigger, show scheme closer to positive ideal solution, Position in trap queuing is more forward.
As shown from the above technical solution, a kind of platform area low-voltage control measures based on improved TOPSIS of the present invention Optimizing evaluation method, is quantified as corresponding characteristic vector, and then introduce objective decision matrix by step analysis by expertise The positive and negative ideal solution of formation scheme collection, scheme is judged with the distance and relative similarity degree of every control measures and positive and negative ideal solution Voltage improvement.The present invention is capable of the good and bad degree of the every control measures of effective evaluation, to platform area low-voltage control With certain reference significance.
Brief description of the drawings
Fig. 1 is the structural representation of the present invention；
Fig. 2 is certain area's configuration of power network of the present invention.
Embodiment
The present invention will be further described below in conjunction with the accompanying drawings：
As shown in figure 1, a kind of platform area low-voltage control measures optimizing evaluation method based on improved TOPSIS, is specifically included Following steps：
S1：Voltage evaluation index is built, the voltage evaluation index includes node voltage qualification rate, and node voltage is maximum Magnitude of voltage at value, node voltage minimum value and backbone 2/3；
(1) calculate node rate of qualified voltage：
Platform area node voltage qualification rate refers to voltage, and qualified nodes account for the ratio of total node number, can intuitively reflect Platform area voltage improves front and rear integral level.According to national standard《GB/T 12325-2008》Regulation, 20 kilovolts and following three Phase supply voltage deviation is nominal voltage (UN) ± 7%, if node voltage deviation exceed this scope, then it is assumed that the node voltage It is unqualified.Node voltage qualification rate calculation formula is as follows：
X1=n1/n (1)
Wherein, X1For node voltage qualification rate, n1For the qualified nodes of voltage, n is total node number.
(2) calculate node voltage max：
Platform area node voltage maximum can intuitively reflect platform area Over High-Limit Voltage situation, and calculation formula is as follows：
X2=max { U1,U2,...,Ui,...,Un} (2)
Wherein, X2For node voltage maximum, UiFor the magnitude of voltage of i-th of platform area node；UiFor i-th of platform area node Magnitude of voltage；If Ui＞ 1.07UN, there is Problem of Over High-Limit Voltage in Ze Tai areas.
(3) minimum value of calculate node voltage：
Platform area node voltage minimum value can intuitively reflect that platform area voltage gets over lower limit situation, and calculation formula is as follows：
X3=min { U1,U2,...,Ui,...,Un} (3)
Wherein, X3For the minimum value of node voltage；If Ui＜ 0.93UN, there is voltage more Lower Boundary in Ze Tai areas.
(14) magnitude of voltage at backbone 2/3 is calculated：
Reflect because platform area low-voltage is frequently experienced in magnitude of voltage at line end, therefore selection backbone 2/3 from distribution transforming Compared with the voltage's distribiuting situation of far region:
X4=U2/3 (4)
In formula：U2/3It is backbone away from the magnitude of voltage at distribution transforming 2/3；If X4＞ 0.93UN, Ze Tai areas major part line voltage distribution It is qualified, if X4＜ 0.93UN, there is low-voltage in the circuit in Ze Tai areas at least 1/3.
S2：According to voltage evaluation index, parameter improvement rate：
Build above-mentioned area's voltage evaluation index on the basis of, using the ratio of voltage indexes improvement amount and initial value as Voltage indexes improvement rate, improves situation, and change as platform area voltage to characterize the voltage indexes after certain control measures is implemented The evaluation index of kind effect.
In the governance process to Tai Qu posterior segments low-voltage, it is qualified that some control measures are likely to result in original voltage Node gets over the upper limit, and now voltage indexes improvement rate is negative, embodies the weak point that the measure is administered to low-voltage.Therefore, for Node voltage maximum, node voltage minimum value, magnitude of voltage at backbone 2/3, the calculation formula of its target improvement rate are as follows：
In formula, UijTo take j-th of desired value after i-th kind of control measures；U0jFor j-th of index initial value；UmaxFor most It is big to allow voltage.For node voltage maximum index, U0j=X2', Uij=X2", X2′、X2" it is respectively X in formula (2)2 Value before and after control measures are taken.For node voltage minimum value index, U0j=X3', Uij=X3", X3′、X3" respectively For X in formula (3)3Value before and after control measures are taken.For magnitude of voltage index at backbone 2/3, U0j=X4', Uij =X4", X4′、X4" it is respectively X in formula (4)4Value before and after control measures are taken.
For node voltage qualification rate, the calculation formula of its target improvement rate is as follows：
In formula：U0j=X1', Uij=X1", X1′、X1" it is respectively X in formula (1)1Value before and after control measures are taken.If ΔUij＞ 0, shows that the control measures improve the node voltage qualification rate in platform area, voltage indexes improvement rate is just；If Δ Uij＜ 0, show that the control measures reduce the node voltage qualification rate in platform area, voltage indexes improvement rate is negative.
S3：Low-voltage resolution is determined, standardizing goals decision matrix is built：
S31：If control measures to be evaluated have m, each control measures include n kind indexs, form objective decision matrix R =(rij)m×nIt is as follows：
In formula：rijFor j-th of desired value of i-th of scheme；I=1,2 ..., m；J=1,2 ..., n；rij=Δ Uij。
S32：Objective decision matrix standardizes：
Because the unit between various indexs, property, order of magnitude etc. there may be larger difference, therefore specification is carried out to R Change is handled, and forms standardizing goals decision matrix Z=(zij)m×n。
In formula：
S4：Build weighted normal objective decision matrix：
S41：Weighted normal objective decision matrix construction based on AHP is beaten using 1~9 scale principle by expert Point, set up judgment matrix A=(aij)n×nIt is as follows：
In formula：aijRepresent relative importances of the index i to index j；aij=1/aji；aii=1；I, j=1,2 ..., n.
S42：After judgment matrix builds and finished, A Maximum characteristic root λ is calculatedmaxWith characteristic vector ω=(ω1, ω2,...,ωn)T, wherein：
S43：This process is the hierarchical ranking of index, in order to verify the validity of target layers sequence, in addition it is also necessary to which it is entered Row consistency check：
In formula：RI is A mean random Consistency Ratio；CR is A random Consistency Ratio；If during CR ＜ 0.1, it is believed that A has satisfied uniformity, otherwise needs to readjust A scoring with satisfied uniformity.
S44：It will determine that the characteristic vector of matrix introduces objective decision matrix, build the weighted normal target based on AHP Decision matrix is as follows：
V=(vij)m×n=(ωjzij)m×nI=1,2 ..., m；J=1,2 ..., n (12)
In formula：ωjIt is characterized the element in vector.
S5：Determine the positive ideal solution and minus ideal result of weighted normal objective decision square：
If I1It is profit evaluation model index set, I2Cost type index set, then positive ideal solution V+It is respectively with minus ideal result V-：
S6：Calculate each scheme and obtain distance with positive and negative ideal solution：
Represent the distance of each scheme and positive and negative ideal solution respectively with second order norm：
S7：Calculate each scheme and solve relative note progress with positive ideal, obtain the sequence of scheme collection：
In formula：CiExpression scheme i aligns the relative similarity degree of ideal solution；CiIt is bigger, show scheme closer to positive ideal solution, Position in trap queuing is more forward.
The present invention chooses the actual table area of certain electric company at county level as analysis object, and power network parameters are distinguished with structure As shown in table 1, Fig. 2, distribution transforming uses S11 type 200kVA transformers, and low-voltage circuit is made up of LJ-50, LJ-35, LJ-25, maximum 535 meters of radius of electricity supply.
Table 1
Node i Node j Branch impedance (Europe/km) Node j active (kW) Node j is idle (kvar)
2 3 0.0374+j0.0193 5.64 2.73
3 4 0.0370+j0.0190 6.32 3.06
4 5 0.0386+j0.0199 3.53 1.71
5 6 0.0382+j0.0197 4.24 2.05
6 7 0.0378+j0.0195 6.33 3.07
7 8 0.0395+j0.0203 3.90 1.89
8 9 0.0505+j0.0186 6.14 2.97
8 10 0.0435+j0.0161 5.44 2.63
10 11 0.0470+j0.0174 8.03 3.89
11 12 0.0447+j0.0165 7.35 3.56
12 13 0.0651+j0.0183 7.73 3.74
12 14 0.0714+j0.0200 8.16 3.95
2 15 0.0391+j0.0201 11.18 5.41
15 16 0.0431+j0.0221 8.04 3.89
16 17 0.0479+j0.0246 6.76 3.27
17 18 0.0540+j0.0199 8.78 4.25
17 19 0.0511+j0.0188 6.20 3.00
19 20 0.0418+j0.0154 5.59 2.71
According to the calculation of tidal current of forward-backward sweep method, the voltage deviation of node 10,11,12,13,14 is more than 7%, exists Low-voltage problem.In view of length is limited, intend several representative typical low-voltage control measures of selection as follows：
(1) centralized compensation, in the distribution low-voltage side idle 80kvar of centralized compensation；
(2) dispersion compensation, node 10 in low voltage, 11,12,13,14, compensation 25,4,3,4,4kvar respectively；
(3) centralized compensation+dispersion compensation, in distribution low-voltage side centralized compensation 55kvar, in the obvious relatively low node of voltage 12nd, 13,14 respectively compensation 17,4,4kvar；
(4) inverse regulation voltage, distribution transforming high side voltage brings up to 10.5kV by 10.3kV；
(5) increase conductor cross-section, the backbone of node 2 to node 12 is replaced by LJ-70；
(6) inverse regulation voltage+dispersion compensation, distribution transforming high side voltage brings up to 10.5kV by 10.3kV, at the same node 12, 13rd, 14 respectively compensation 17,4,4kvar；
(7) inverse regulation voltage+restringing, distribution transforming high side voltage brings up to 10.5kV by 10.3kV, and wire replacing measure is same (5)；
(8) restringing+dispersion compensation, wire replacing measure with (5), while compensate 17 respectively in node 12,13,14, 4、4kvar。
According to calculation of tidal current, the value such as institute of table 2 after platform area voltage evaluation index initial value and 8 kinds of control measures implementations Show：
Table 2
Control measures X1 X2(V) X3(V) X4(V)
Initial value 0.737 403.423 338.695 354.856
1 0.737 409.74 346.381 362.186
2 1 406.745 360.098 372.178
3 0.947 409.874 359.389 371.074
4 0.789 411.64 348.679 364.382
5 1 403.584 359.547 368.775
6 0.895 413.726 363.854 375.394
7 0.947 411.786 368.826 377.823
8 1 405.684 373.433 379.037
(2) platform area voltage indexes improvement rate is calculated
On the basis of the calculating of platform area voltage evaluation index, platform area voltage indexes improvement rate is further calculated, such as the institute of table 3 Show：
Table 3
Control measures ΔX1 ΔX2 ΔX3 ΔX4
1 0 -0.016 0.023 0.021
2 0.357 0 0.063 0.049
3 0.285 -0.016 0.061 0.046
4 0.071 -0.02 0.029 0.027
5 0.357 0 0.062 0.039
6 0.214 -0.026 0.074 0.058
7 0.285 -0.021 0.089 0.065
8 0.357 0 0.103 0.068
(3) build objective decision matrix and standardize：
After different control measures Xia Tai areas voltage indexes improvement rates are drawn, build objective decision matrix and standardize It is as follows：
(4) the weighted normal objective decision matrix construction based on AHP：
For the improvement of platform area low-voltage, primary and foremost purpose is to improve node voltage qualification rate, while preventing from improving and owing Improve, finally ensure the most node voltages in platform area all within acceptability limit as far as possible.
According to expert estimation result, the Maximum characteristic root and characteristic vector of judgment matrix are drawn, and carries out consistency check：
λmax=4.0278
ω=(0.5798,0.1637,0.1637,0.0929)T
CR=0.0103<0.1, consistency check passes through.
Characteristic vector is introduced into objective decision matrix, weighted normal objective decision matrix is built as follows：
(5) positive ideal solution and minus ideal result are determined
Determine that positive ideal solution and minus ideal result are as follows according to formula (13), (14)：
V+={ 0.2682,0,0.0878,0.0453 }
V-={ 0, -0.0945,0.0196,0.0140 }
(6) each scheme and the distance and relative similarity degree of positive and negative ideal solution are calculated, as shown in table 4：
Table 4
Control measures Positive ideal solution distance Minus ideal result distance Relative similarity degree
1 0.2845 0.0364 0.1133
2 0.0364 0.2870 0.8875
3 0.0883 0.2202 0.7137
4 0.2370 0.0580 0.1966
5 0.0399 0.2865 0.8777
6 0.1453 0.1684 0.5367
7 0.0943 0.2240 0.7037
8 0 0.2941 0.9998
Therefore, the sequence to 8 kinds of low-voltage control measures is followed successively by：
(8)>(2)>(5)>(3)>(7)>(6)>(4)>(1)。
In real work, the selection of scheme must also consider cost of investment.With reference to Anhui Province's electricity power engineering comprehensive cost, The construction cost of LJ-70 circuits be 5.1 ten thousand yuan/km, reactive-load compensation capacitor cost be 75 yuan/kvar, 2500 yuan of mounting box/ Individual, the cost of investment of each control measures is as follows：
Table 5
Control measures Cost of investment (ten thousand yuan)
1 0.85
2 1.55
3 1.60
4 0
5 2.45
6 0.94
7 2.45
8 3.39
As can be seen from Table 5, because the construction cost of circuit is higher, thus be related to the measure (5) of restringing, (7), (8) cost of investment is larger.The regulation effect of measure (8) preferably, cost of investment also highest；The regulation effect of measure (5) preferably, is thrown Provide cost higher, equally need to make balance according to actual financial resources situation with measure (8)；The regulation effect of measure (7) is general, and Cost of investment is higher, is used not as measure is recommended；Measure (6), (1), (4) are although cost of investment is smaller, regulation effect It is poor, used not as measure is recommended；Not only regulation effect is preferable for measure (2), (3), and cost of investment is relatively reasonable, is ratio Appropriate low-voltage resolution.
Embodiment described above is only that the preferred embodiment of the present invention is described, not to the model of the present invention Enclose and be defined, on the premise of design spirit of the present invention is not departed from, technical side of the those of ordinary skill in the art to the present invention In various modifications and improvement that case is made, the protection domain that claims of the present invention determination all should be fallen into.

Claims (5)

1. a kind of platform area low-voltage control measures optimizing evaluation method based on improved TOPSIS, it is characterised in that including following Step：
(1) voltage evaluation index is built, the voltage evaluation index includes node voltage qualification rate, node voltage maximum, section Magnitude of voltage at point voltage minimum and backbone 2/3；
(2) according to voltage evaluation index, parameter improvement rate；
(3) low-voltage resolution is determined, standardizing goals decision matrix is built；
(4) weighted normal objective decision matrix is built；
(5) the positive ideal solution and minus ideal result of weighted normal objective decision square are determined；
(6) calculate each scheme and obtain distance with positive and negative ideal solution；
(7) calculate each scheme and solve relative note progress with positive ideal, obtain the sequence of scheme collection.
2. the platform area low-voltage control measures optimizing evaluation method according to claim 1 based on improved TOPSIS, it is special Levy and be：In step (2), the parameter improvement rate, using below equation：
Wherein, UijTo take j-th of desired value, U after i-th kind of control measures0jFor j-th of index initial value, UmaxTo be maximum allowable Voltage.
3. the platform area low-voltage control measures optimizing evaluation method according to claim 1 based on improved TOPSIS, it is special Levy and be：In step (3), the structure standardizing goals decision matrix specifically includes following steps：
(31) objective decision matrix R is built：
Wherein, R=(rij)m×n, rijFor j-th of desired value of i-th of scheme；I=1,2 ..., m；J=1,2 ..., n, rij= ΔUij；
(32) below equation is used, standardization processing is carried out to objective decision matrix, standardizing goals decision matrix Z is formed：
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>Z</mi> <mo>=</mo> <msub> <mrow> <mo>(</mo> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <mrow> <mi>m</mi> <mo>&amp;times;</mo> <mi>n</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>r</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>/</mo> <msqrt> <mrow> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msubsup> <mi>r</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mn>2</mn> </msubsup> </mrow> </msqrt> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>;</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>...</mn> <mo>,</mo> <mi>m</mi> <mo>;</mo> <mi>j</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>...</mn> <mo>,</mo> <mi>n</mi> <mo>.</mo> </mrow>
4. the platform area low-voltage control measures optimizing evaluation method according to claim 1 based on improved TOPSIS, it is special Levy and be：In step (4), the structure weighted normal objective decision matrix specifically includes following steps：
(41) judgment matrix is set up：
Wherein A=(aij) m × n, aijRepresent relative importances of the index i to index j；aij=1/aji；aii=1；I, j=1, 2,...,n；
(42) Maximum characteristic root of judgment matrix is calculated：
Wherein, λmaxFor the Maximum characteristic root of judgment matrix, ω represents characteristic vector；
(43) consistency check is carried out to the Maximum characteristic root of judgment matrix, next step is carried out if upchecking, is otherwise returned Step (3)：
(44) below equation is used, weighted normal objective decision matrix is built:
V=(vij)m×n=(ωjzij)m×nI=1,2 ..., m；J=1,2 ..., n；
Wherein, ωjIt is characterized the element in vector.
5. the platform area low-voltage control measures optimizing evaluation method according to claim 1 based on improved TOPSIS, it is special Levy and be：In step (7), each scheme of calculating solves relative note progress with positive ideal, the sequence of scheme collection is obtained, using following Formula is calculated and obtained：
<mrow> <msub> <mi>C</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <msubsup> <mi>D</mi> <mi>i</mi> <mo>-</mo> </msubsup> <mrow> <msubsup> <mi>D</mi> <mi>i</mi> <mo>-</mo> </msubsup> <mo>+</mo> <msubsup> <mi>D</mi> <mi>i</mi> <mo>+</mo> </msubsup> </mrow> </mfrac> <mo>,</mo> </mrow>
Wherein, CiExpression scheme i aligns the relative similarity degree of ideal solution；CiIt is bigger, show scheme closer to positive ideal solution, excellent Position in bad sequence is more forward.
CN201710521726.3A 2017-06-29 2017-06-29 A kind of platform area low-voltage control measures optimizing evaluation method based on improved TOPSIS Pending CN107332235A (en)

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CN109978297A (en) * 2017-12-28 2019-07-05 南京易司拓电力科技股份有限公司 Distribution network voltage overall process closed-loop management method
CN109242284A (en) * 2018-08-24 2019-01-18 国网天津市电力公司 Method based on BIM technology export power engineering standard engineering amount inventory
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CN111724071A (en) * 2020-06-22 2020-09-29 杭州电力设备制造有限公司 TOPSIS method-based intelligent box-type substation operation state evaluation method
CN112380734A (en) * 2020-12-10 2021-02-19 海南电网有限责任公司电力科学研究院 Transmission line lightning protection measure optimal selection method based on TOPSIS method

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