CN107330576B - Power distribution network efficiency evaluation method based on boundary power supply capacity - Google Patents
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Abstract
The invention discloses a power distribution network efficiency evaluation method based on boundary power supply capacity, which comprises the following steps: defining the power supply capacity of a certain working point on a safety boundary as the boundary power supply capacity, and acquiring a plurality of boundary working points capable of completely describing the safety boundary for a power distribution network with a given network structure and network parameters; calculating the boundary power supply capacity of all boundary working points to obtain the distribution of the boundary power supply capacity; sequencing according to the size of the boundary power supply capacity to obtain a sequencing curve, and further counting to obtain a boundary power supply capacity ratio graph; and finally, calculating a boundary power supply capacity index to comprehensively reflect the efficiency of the power distribution network. According to the invention, the distribution of the boundary power supply capacity is calculated through the safety boundary of the distribution system safety Domain (DSSR), so that the efficiency of the distribution network is comprehensively evaluated.
Description
Technical Field
The invention relates to the field of power distribution networks, in particular to a power distribution network efficiency evaluation method based on boundary power supply capacity.
Background
The N-1 safety criterion is an important criterion for planning and operating the power distribution network[1]When a certain element is out of operation, whether the continuous power supply to the load can be ensured and the operation requirements of equipment such as no overload can be met; the method is divided into feeder N-1 constraint and main transformer N-1 constraint. Maximum Supply Capacity (TSC)[2]Under the condition that a power distribution network in a certain power supply area meets the N-1 safety criterion, the maximum load supply capacity under the actual operation constraint is considered; similar to the maximum Transmission Capacity (TTC) in a Transmission system[3]It is a key index for reflecting system safety and efficiency. Current research has been directed to the definition, indexing system, modeling, solving and application of TSCs.
Existing research has shown that TSC can only be realized when a specific load is distributed[2]In actual operation, the load distribution variation range of users is large, and the TSC cannot be achieved under more load distribution conditions, but the TSC does not mean that a limit state meeting the safety constraint does not exist at this time, so that the power supply capacity of the power distribution network under various load distributions cannot be completely described only by adopting a single TSC index. It is necessary to obtain the extreme values of the allowable load of the distribution network under various load distributions. TSC is essentially the pole of the safe operating range of the systemA limit state, beyond which safety is lost. If the TSC is extended to further find the extreme states under all load distributions, the efficiency of the system can be fully described.
In recent years, research on Distribution System Security Region (DSSR) has just addressed this problem. Document [4] proposes a concept of DSSR, which is a closed area surrounded by a safety boundary; documents [5] and [6] give evidence of the presence of DSSR from simulation observations and mathematical derivations. The above DSSR studies indicate that the safety margin describes the system safe operating range under different load distributions, and is safe if a certain system state (operating point) is within the margin, i.e., within the system capability; otherwise, the method is unsafe, and the result which cannot be accepted by people can occur. Studies of DSSR also found TSC to be the most efficient operating point on the security boundary. It can be seen that a safety margin may resolve the problem that a single TSC may not fully describe the efficiency of the power distribution system.
Reference documents:
[1] national grid company city power grid planning and design guide rule [ S ].2006.
[2] Xiao Rong, Gongwenzhuo, Gong Xu, et al. distribution network maximum power supply capability model based on feeder interconnection [ J ] Power System Automation, 2013, (17):72-77.
[3] Li national Qing, Zhenghaoyuan, a new method for calculating available transmission capacity considering transient stability constraint [ J ]. China Motor engineering report, 2005,25(15):20-25.
[4] The security domain model [ J ] oriented to the intelligent power distribution system. 14-19.
[5]Xiao J,Zu G,Gong X,et al.Observation of SecurityRegion Boundaryfor Smart Distribution Grid[J].IEEE Transactions on Smart Grid,2015:1-8.
[6] Shaugong, strong in China, Baiguan men, and the like, and the proof of mathematical definition and existence of the security domain of the power distribution system [ J ]. the report of electric engineering in China, 2016, (18): 4828-.
Disclosure of Invention
The invention provides a power distribution network efficiency evaluation method based on boundary power supply capacity, which calculates the distribution of boundary power supply capacity through a DSSR safety boundary, realizes comprehensive evaluation of the efficiency of a power distribution network, and is described in detail in the following description:
a power distribution network efficiency evaluation method based on boundary power supply capacity comprises the following steps:
defining the power supply capacity of a certain working point on a safety boundary as the boundary power supply capacity, and acquiring a plurality of boundary working points capable of describing the safety boundary for a power distribution network with a given network structure and network parameters;
calculating the boundary power supply capacity of all boundary working points to obtain the distribution of the boundary power supply capacity:
sequencing according to the size of the boundary power supply capacity to obtain a sequencing curve, and further counting to obtain a boundary power supply capacity ratio graph;
and finally, calculating a boundary power supply capacity index to comprehensively reflect the efficiency of the power distribution network.
The mathematical expression of the boundary power supply capability is as follows:
BSC＝∑Wb
Wb∈BDSSR
wherein, the BSC is the boundary power supply capability; wbIs a boundary working point; b isDSSRIs a safety boundary expression.
The obtaining of a plurality of boundary operating points that can describe a safety boundary specifically includes:
1) acquiring a modified TSC linear programming model, and solving a boundary working point under a certain direction vector according to the model;
2) judging whether the boundary working point meets strict critical conditions or not, and if so, outputting the boundary working point; if not, corresponding feeder line load F is carried outiIncrease the safety distance DiAnd forming a new working point, and judging whether the new working point strictly meets the critical condition. And finally, deleting the repeated boundary working points.
The modified TSC linear programming model specifically comprises the following steps:
BSC＝max∑Wb
wherein, wbIs a direction vector; a is a positive real number and represents the calculated boundary operating point WbAnd vector wbThe directions are the same; omegaDSSRIs the set of all operating points that meet the N-1 security criteria.
The strict critical conditions are specifically as follows:
calculating the load F of each feeder sectioniA safety distance DiIf all D areiWith 0, it is shown that any feeder section load increase will cause N-1 to be unsafe.
The boundary power supply capacity distribution specifically comprises:
all safety boundary operating points and their boundary power supply values constitute a distribution of power supply.
The technical scheme provided by the invention has the beneficial effects that:
1. the invention provides a concept and an index of Boundary power Supply Capacity (BSC), TSC is a partial result when BSC takes a maximum value, and provides a comprehensive evaluation method for completely reflecting the efficiency of a power distribution network under various load distributions by using BSC;
2. the method can obtain the power supply capacity range under different load distributions, further processes the power supply capacity range to obtain indexes such as BSC mean value, fluctuation interval and the like, and draws BSC curve, proportion diagram and the like to realize the visualization of the power supply capacity distribution, thereby more objectively and comprehensively evaluating the efficiency of the power distribution network;
3. the effectiveness of the invention is verified by comparing two TSC with the same BSC and different distribution; the BSC reflects the efficiency of the power grid more comprehensively than the TSC, and provides a more accurate reference basis for selecting a planning scheme.
Drawings
FIG. 1 is a flow chart of a method for evaluating efficiency of a power distribution network based on boundary power supply capability;
fig. 2 is a block diagram of distribution network a;
fig. 3 is a block diagram of distribution network B;
FIG. 4 is a comparison graph of BSC sequencing curves;
fig. 5 is a BSC occupancy map.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, embodiments of the present invention are described in further detail below.
In order to solve the problems in the background art, the embodiment of the invention provides a concept of the BSC, completely reflects the maximum efficiency of the power distribution network under different load distributions, and the traditional TSC index is a part of the BSC when the BSC takes a maximum value. According to the embodiment of the invention, the distribution of the boundary power supply capacity is calculated through the safety boundary of the DSSR, and the method can comprehensively evaluate the efficiency of the power distribution network.
Example 1
A method for evaluating the efficiency of a power distribution network based on boundary power supply capacity is disclosed, and referring to fig. 1, the method comprises the following steps:
101: acquiring a plurality of boundary working points which can describe a safety boundary for a power distribution network with a given network structure and network parameters;
102: calculating BSC values of all working points to obtain sampling BSC distribution, and processing and analyzing the sampling BSC distribution:
103: sequencing according to the size of the BSC to obtain a BSC sequencing curve, and further counting to obtain a BSC proportion graph;
104: and finally, calculating a BSC index to comprehensively reflect the efficiency of the power distribution network.
In summary, in the embodiment of the present invention, the DSSR security boundary is adopted to calculate the distribution of the boundary power supply capacity in the steps 101 to 104, so that the method can comprehensively evaluate the efficiency of the power distribution network, and meet various requirements in practical applications.
Example 2
The scheme in example 1 is further described below with reference to specific examples and calculation formulas, which are described in detail below:
201: preparing data;
DSSR is defined as the set of all operating points in a distribution network that meet the N-1 safety criteria, in ΩDSSRRepresents; and operating points on the DSSR boundary (safety boundary)In a critical safety state, i.e. as long as any load is added, it must happen that N-1 does not pass.
Thus, a certain working point W on the safety boundary is definedbIs a working point WbThe mathematical expression of the sum of the loads of (a) is as follows:
BSC＝∑Wb(1)
Wb∈BDSSR(2)
in the formula, Wb＝(F1,F2,…Fi…,Fn)T；FiLoading for a feeder section; n is the number of feeder sections of the whole network; f. ofuThe load is the u number feeder load; cu (i)The load is transferred to the feeder u after N-1 happens for the feeder i at the same time for the capacity of the feeder u; rtThe rated capacity of the main transformer is t; t isjA main transformer j; fk∈TjThe feeder line k comes from a corresponding bus of the main transformer j; t istA main transformer t; f. ofjIs the j feeder load; the value ranges of u, j, n, t and i are any positive integer.
Where equation (3) is a safety margin expression. B isDSSREach equation of (2) is a boundary expression, and if the power distribution network frame and the parameters are determined, the safety boundary expression is unique.
As known from the definition of BSC and TSC: the operating point (generally not unique) to reach the TSC must be on the border, and therefore the TSC belongs to the BSC and is the maximum value of the BSC; there are many border operating points beyond the TSC that cannot be reached by the BSC.
The number n of feeder sections of the power grid, m points on each side at equal intervals and the maximum power supply capacity TSC are assumed. Writing a safety boundary expression according to a network structure; generating direction vector w ═ x1,x2,…,xl,…,xn) Wherein w ≠ 0, xl∈ Z and 0 ≤ xlM is less than or equal to m, and Z is an integer set. Generating X directional vectors from the permutation and combination, each directional vector representing oneA load distribution situation.
202: calculating the boundary power supply capacity distribution;
all the safety boundary operating points and their BSC values constitute a distribution of the power supply, called BSC distribution, denoted ABSC。
ABSC＝{(Wb,∑Wb)|Wb∈BDSSR} (4)
Due to ABSCThe middle working point is infinite, so that a finite number of boundary working point samples which can represent a complete boundary are generated through sampling, and are marked as S:
S＝{W1，W2，····,WX} (5)
wherein X is the number of boundary operating points. And obtaining BSC value from the boundary working point in S to obtain BSC sampling distribution, and marking as FBSC。
FBSC＝{(Wb,∑Wb)|Wb∈S} (6)
FBSCIs used to approximate ABSCHereinafter also referred to as BSC distribution.
Calculating the boundary working points on the vectors w in each direction generated in step 201, wherein the solving process is as follows:
1) adding a constraint condition W on the basis of the original TSC linear programming modelb＝a×wb(a∈R+) To ensure the desired operating point WbAnd the b-th direction vector wbIs in direct proportion. The modified model is as follows:
BSC＝max∑Wb(7)
wherein a is a positive real number and represents the determined boundary operating point WbAnd vector wbThe directions are the same; b is a positive integer with a value range of [1, X]；R+Are positive real numbers. The boundary point Wb corresponding to the direction vector can be obtained by a linear programming method.
2) When the optimal solution is reached, partial boundary expression equal taking must exist, but the boundary expression equal taking cannot be guaranteedAll boundary expressions are equal, so that the boundary operating point W needs to be judgedbWhether or not strict critical conditions are met.
The judgment method comprises the following steps: calculating the load F of each feeder sectioniA safety distance DiIf all D areiIf the load of any feeder segment increases to cause that N-1 is unsafe, outputting the working point and the BSC value thereof; on the contrary, if D is presentiIf the load is greater than 0, the corresponding feeder line load F is carried outiIncrease of DiAnd forming a new working point, and judging whether the new point strictly meets the critical condition or not until a boundary point meeting the strict critical condition is calculated.
In addition, in the process of judging whether the optimal solution of a certain load direction meets the strict critical condition, the values of certain feeder loads are changed, so that the same boundary point may be searched along different load directions, and therefore, the repeated boundary points need to be deleted.
203: and (4) visualizing the distribution of the boundary power supply capacity and calculating indexes.
Further processing the final calculation result, drawing a BSC sequencing curve and a BSC proportion diagram, wherein the BSC proportion diagram comprises a histogram and a smooth curve obtained by fitting the histogram by further using a CFTOO L tool (well known by the person skilled in the art, and not described in detail in the embodiment of the invention) of MAT L AB, and finally calculating a BSC distribution index, comprising:
1) BSC minimum value is marked as BminThe lower limit of the power grid capacity can be reflected, the load distribution reaching the minimum value can be further researched, and the weak point of the power distribution network can be known;
2) the BSC maximum is the conventional TSC;
3) BSC fluctuation interval is [ B ]min,TSC]；
4) BSC mean score
The calculation formula is as follows:
in the formula, BrFor intermediate values of the segments, in particular B1＝Bmin，BMTSC; the value of M is a positive integer, which means that the BSC fluctuation interval is divided into M sections, PrThe number of boundary operating points of each section is taken as a ratio.
5) BSC Standard deviation is noted as BDReflecting the degree of uniformity of the distribution of the BSC on the boundary; the smaller the standard deviation, the more uniform the distribution. The calculation formula is as follows:
in summary, in the embodiment of the present invention, the DSSR security boundary is adopted to calculate the distribution of the boundary power supply capacity in the steps 201 to 203, so that the method can comprehensively evaluate the efficiency of the power distribution network, and meet various requirements in practical applications.
Example 3
The feasibility of the schemes of examples 1 and 2 is verified below with reference to the specific figures 2-5, tables 1-4, and the calculation formulas, as described in detail below:
1. example basic case:
distribution network A and distribution network B are constructed based on an IEEE-RTBS-BUS4 algorithm, the contact position of a feeder of the distribution network B is more reasonable, TSCs of the two algorithms are the same, but BSC distribution is different. And comparing the BSC distribution to judge the advantages and disadvantages of the two distribution networks so as to select a network with higher efficiency.
The rack structures of the distribution network a and the distribution network B are respectively shown in fig. 2 and fig. 3, and the parameters of the two are the same: the total number of the 3 35kV transformer substations and 7-circuit 10kV feeders is 6-circuit single-connection feeders, 1-circuit two-section two-connection feeders, and the total transformation capacity is 56 MVA. Table 1 shows the data of the main transformer of the substation, and the capacities of the feeder line and the interconnection line are both 9 MVA.
TABLE 1 main data of transformer substation
2. The implementation procedure of the invention
1) Preparing data;
boundary expressions of the distribution network A and the distribution network B are respectively shown in formulas (11) and (12), the TSCs of the two power grids are calculated by a linear programming method, the TSCs are 32MVA, the calculation example comprises 8 feeder segments, 4 points are equidistantly taken on each coordinate axis during sampling, and 65535 direction vectors are generated through permutation and combination.
2) Calculating the boundary power supply capacity;
the BSC calculation results for distribution network a and distribution network B are shown in table 2 and table 3, respectively.
Table 2 BSC calculation results for distribution network a
Table 3 BSC calculation results for distribution network B
3) And visualizing the boundary power supply capacity and calculating indexes.
a) BSC sorting curves;
the calculation results are further sorted to obtain BSC sorting curves of the distribution network a and the distribution network B as shown in fig. 4. As can be seen from fig. 4, the BSC distribution for distribution network a and distribution network B is different. The BSC of the distribution network B is distributed above the distribution network A, which shows that the boundary point efficiency of the distribution network B is higher. In addition, the BSC interval of distribution network a is [20,32], and the BSC interval of distribution network B is [21,32 ].
b) BSC accounts for the ratio statistical curve;
the BSC is divided into 7 segments from 20 to 32- [20,21), [21,23), [23,25), [25,27), [27,29), [29,31, [31,32 ]. The 1 st and 7 th segments are 1MVA in length, and the intermediate segments are 2MVA in length. The percentage of the boundary points to the total points when each value is reached is counted to obtain a BSC ratio histogram, and then the BSC ratio histogram is fitted into a smooth curve, which is shown in FIG. 5.
Viewing fig. 5 shows that: the safety boundary points of the distribution network A are mainly distributed in the range of 23.4-25.4 MVA and account for 31.45%; distribution network B is mainly in the range of 24.8-26.8 MVA and accounts for 31.73%. The curve of distribution network B is significantly shifted backwards compared to distribution network a, indicating that there are more high efficiency boundary points.
The two examples have the most distribution when the BSC is the mean value, and have little distribution when the BSC is large and small; the BSC occupancy curve is a gaussian function, close to a normal distribution.
c) BSC index
The BSC indexes for distribution network a and distribution network B are shown in table 4.
TABLE 4 BSC index
As can be seen from table 4, the indexes of other BSCs are different in the distribution network a and the distribution network B except for the TSC. The BSC minimum value of the distribution network B is 1MVA larger than that of the distribution network A, which shows that the distribution network B has a higher power supply capacity lower limit; the average value of the distribution network B is about 1.5MVA, which shows that the comprehensive efficiency is higher; the standard deviation of the BSC in distribution network B is slightly smaller, which indicates that the BSC is more evenly distributed on the boundary.
In conclusion, the distribution network B is a better planning scheme, and therefore, the BSC distribution concept and index provided by the method can well reflect the comprehensive efficiency of the power grid.
Those skilled in the art will appreciate that the drawings are only schematic illustrations of preferred embodiments, and the above-described embodiments of the present invention are merely provided for description and do not represent the merits of the embodiments.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.
Claims (3)
1. A power distribution network efficiency evaluation method based on boundary power supply capacity is characterized by comprising the following steps:
defining the power supply capacity of a certain working point on a safety boundary as the boundary power supply capacity, and acquiring a plurality of boundary working points capable of describing the safety boundary for a power distribution network with a given network structure and network parameters;
calculating the boundary power supply capacity of all boundary working points to obtain the distribution of the boundary power supply capacity;
sequencing according to the size of the boundary power supply capacity to obtain a sequencing curve, and further counting to obtain a boundary power supply capacity ratio graph;
finally, calculating a boundary power supply capacity index to comprehensively reflect the efficiency of the power distribution network;
the mathematical expression of the boundary power supply capability is as follows:
BSC＝∑Wb
Wb∈BDSSR
wherein, the BSC is the boundary power supply capability; wbIs a boundary working point; b isDSSRIs a safety boundary expression;
the obtaining of a plurality of boundary operating points that can describe a safety boundary specifically includes:
1) acquiring a modified TSC linear programming model, and solving a boundary working point under a certain direction vector according to the model;
2) judging whether the boundary working point meets strict critical conditions or not, and if so, outputting the boundary working point; if not, corresponding feeder line load F is carried outiIncrease the safety distance DiForming a new working point, and judging whether the new working point strictly meets the critical condition; finally, deleting the repeated boundary working points;
the modified TSC linear programming model specifically comprises the following steps:
BSC＝max∑Wb
wherein, wbIs a direction vector; a is a positive real number and represents the calculated boundary operating point WbAnd vector wbThe directions are the same; omegaDSSRIs the set of all operating points that meet the N-1 security criteria.
2. The method for evaluating the efficiency of the power distribution network based on the boundary power supply capacity according to claim 1, wherein the strict critical conditions are specifically:
calculating the load F of each feeder sectioniA safety distance DiIf all D areiWith 0, it is shown that any feeder section load increase will cause N-1 to be unsafe.
3. The method for evaluating the efficiency of the power distribution network based on the boundary power supply capacity according to claim 1, wherein the boundary power supply capacity distribution specifically comprises:
the plurality of boundary working points which can describe the safety boundary and the boundary power supply force value thereof form the distribution of the power supply force.
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| CN102368610A (en) * | 2011-09-22 | 2012-03-07 | 天津大学 | Evaluation method based on distribution system security region |
| CN102622711A (en) * | 2012-03-31 | 2012-08-01 | 天津大学 | Power distribution network planning method based on maximum power supply capacity |
| CN103607375A (en) * | 2013-10-28 | 2014-02-26 | 天津大学 | Network N-1 security-region-boundary calculation and security evaluation method |
| CN105552890A (en) * | 2015-12-23 | 2016-05-04 | 天津大学 | Security region volume based evaluation method for distribution system N-1 safe operation range |
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| CN102368610A (en) * | 2011-09-22 | 2012-03-07 | 天津大学 | Evaluation method based on distribution system security region |
| CN102622711A (en) * | 2012-03-31 | 2012-08-01 | 天津大学 | Power distribution network planning method based on maximum power supply capacity |
| CN103607375A (en) * | 2013-10-28 | 2014-02-26 | 天津大学 | Network N-1 security-region-boundary calculation and security evaluation method |
| CN105552890A (en) * | 2015-12-23 | 2016-05-04 | 天津大学 | Security region volume based evaluation method for distribution system N-1 safe operation range |
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