CN115062931B - Method for building power failure time function of load on power distribution network automation terminal - Google Patents
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Abstract
The method for constructing the power failure time function of the load on the power distribution network automation terminal is based on a logic operator and specifically comprises the following steps: step 1: building a load power failure time general term model only considering the manual isolating switch x; step 2: building a load power failure time general term model taking the manual isolating switch x and the fault indicator y into consideration; step 3: and (3) building a load outage time general term model taking the manual disconnecting switch x, the fault indicator y and the automatic disconnecting switch z into consideration. The invention aims to adapt to the power distribution network with more and more complex structures, more and more diversified operation modes and more various types of automatic terminals, so that the power distribution network can be fully and stably operated automatically.
Description
Technical Field
The invention belongs to the field of power system planning, in particular to a method for building a power failure time function of a load on an automatic terminal of a power distribution network, and relates to a divisional application of an invention patent with the application number 2021100844931, which is an optimal configuration method of the automatic terminal of the power distribution network.
Background
With the continuous development of social economy, users have increasingly high requirements on the power supply reliability of the power distribution network. By introducing various types of power distribution network automation terminals, fault isolation can be realized rapidly, fault positioning is accelerated, load transfer is performed, power failure loss caused by permanent faults and user power failure time are reduced to the greatest extent, and the method is the most effective means for improving the reliability of the power distribution network.
In the prior art, patent literature with an authorized bulletin number of CN201611215510 discloses an optimal configuration method of a power distribution network terminal, the patent carries out intensive research on the installation type, number and position of the power distribution network terminal, and carries out observability analysis on the configuration of the power distribution terminal on the basis of ensuring the power supply reliability, thereby realizing the observability of the power distribution network and reducing the unobservable risk of the power distribution network.
However, the acceleration effect of various power distribution network automation terminals on fault line inspection is not considered in the prior art, so that a certain gap exists between the prior art and actual reliability calculation, global optimal solutions cannot be obtained, and finally economic waste is caused.
The domestic power grid has begun to build and popularize power distribution network automation since the last century. However, because the structure of the power distribution network is complex, the operation modes are various, the types of the automatic terminals are various, and how to fully play the function of the power distribution network automation as far as possible through limited resources is the most important problem for carrying out the power distribution network automation construction, therefore, a set of power distribution network automation terminal optimization configuration method needs to be constructed.
Disclosure of Invention
The invention aims to provide an optimal configuration method of an automatic terminal of a power distribution network, which is used for adapting to the power distribution network with more and more complex structures, more and more diversified operation modes and more types of automatic terminals, so that the power distribution network can be completely and stably operated automatically.
In order to solve the technical problems, the invention adopts the following technical scheme:
the method for constructing the power failure time function of the load on the power distribution network automation terminal based on the logic operator comprises the following steps:
step 1: building a load power failure time general term model only considering the manual isolating switch x;
Step 2: building a load power failure time general term model taking the manual isolating switch x and the fault indicator y into consideration;
Step 3: and (3) building a load outage time general term model taking the manual disconnecting switch x, the fault indicator y and the automatic disconnecting switch z into consideration.
In step 1, the load outage time general term expression of the manual isolating switch x is:
wherein: x i,j is the set of X variables between fault i to load j on feeder f; is a judging operator related to the action time of the manual isolating switch; Is a decision operator regarding maintenance time; t search is the fault line patrol constant of the feeder line, and is related to the total length of the medium-voltage section and the low-voltage section of the feeder line; t mcs is the action time constant of the manual isolating switch; t rep is a fault maintenance time constant.
In step2, consider the load outage time general expression for the manual disconnector x and fault indicator y as:
va(x,y)＝And(Or(Yi,a),Or(Xj,a))
Wherein: Is a judging operator for judging that no fault indicator exists between the section s and the fault i; y i,s is the set of Y variables between fault i to section s on feeder f; Line patrol time for section s; omega s is the set of segments; v a (x, y) is a switch installation candidate position auxiliary variable for determining whether a manual disconnecting switch on the load side of the switch installation candidate position a n is present with a fault indicator on the fault side; y i,a is the set of Y variables between fault i on feeder f to switch installation candidate position a n; x j,a is the set of X variables between the load j on the feeder f to the switch installation candidate position a n; is an operator for determining whether the load j needs to go through line patrol time; v i,j (x, y) is the set of all auxiliary variables V a (x, y) between fault i and load j.
In step 3, the load outage time general term expressions of the manual disconnecting switch x, the fault indicator y and the automatic disconnecting switch z are considered at the same time, and are as follows:
Wherein: t rcs is the automatic disconnecting switch operation time.
A method for constructing an optimal configuration model of an automatic terminal of a power distribution network comprises the following steps:
Step 1), constructing a general term model of a power failure loss related to an automatic terminal of a power distribution network;
Step 2) constructing a general term model of capital investment related to an automatic terminal of the power distribution network;
and 3) constructing an optimal configuration model of the power distribution network automation terminal with the minimum sum of power outage loss and fund investment as a constraint.
In the step (1) of the process,
After the power distribution network fails due to faults, taking all power selling fees lost by an electricity selling company in the power failure time as power failure loss of the power grid side, wherein the mathematical expression is as follows:
wherein: omega f,i is the set of faults i on feeder f; omega f,j is the set of loads j on feed line f; omega j,k is the set of all load types for load point j; lambd i is the expected probability of failure i; p t,k is the load amount of the kth type load in the t-th year; r k is the unit price of electricity for the kth type of load;
after the power distribution network is powered off due to faults, the loss of a user in the power failure time is taken as the power failure loss of the user side, and the mathematical expression is as follows:
wherein: CDF k (·) is a outage loss function;
Taking the total power outage loss, namely the sum of the power outage loss at the power grid side and the power outage loss at the load side as one of optimization targets, the mathematical expression is as follows:
CIC(x,y,z)＝GCIC(x,y,z)+LCIC(x,y,z)。
in step 2), the sum of one investment cost, namely one investment cost of all the automation terminals on all feeder lines of the whole distribution network is set, and the mathematical expression is as follows:
wherein: omega f is a feed line set in the power distribution network; omega f,a,Ωf,d is a candidate installation position set of the isolating switch and the fault indicator on the feeder line f; inv MCS,invFI and inv RCS are manual disconnectors, respectively, and the primary investment cost of the fault indicator and the automatic disconnectors;
The later maintenance cost is the sum of maintenance cost in the whole service life of the automatic terminal, and the mathematical expression is as follows:
wherein: omega t is the estimated age of the automated terminal; DR is maintenance fee discount rate;
The full life cycle cost, i.e. the sum of the primary investment cost and the later maintenance cost, is taken as one of the optimization targets and the constraint, and the term expression is adopted.
In step 3), the objective of the optimization is to minimize the sum of outage losses and capital investment due to permanent faults with limited capital investment, and the corresponding optimization model is as follows:
minimize CIC(x,y,z)+LCC(x,y,z)
Wherein: LCC lim is the full lifecycle cost upper limit;
The same type of isolating switch is installed at the same isolating switch installation position.
An optimal configuration method of an automatic terminal of a power distribution network comprises the following steps:
Step 1: a logical operator considering the AND or relation is proposed;
Step 2: constructing a power failure time function of the load on an automatic terminal of the power distribution network based on a logic operator;
Step 3: the power distribution network automation terminal optimization configuration taking the investment as constraint is built based on a power outage time function and aims at minimizing the sum of power outage loss and the investment;
Step 4: and solving based on the optimal configuration model to obtain an optimal configuration scheme.
In step 1, the method specifically comprises the following steps:
step 1) defines a set of variables.
VAR＝{vari|i∈Ωindex}；
Wherein: the variable var i is a decision boolean variable herein, a value of 1 representing that the corresponding automation terminal is configured at i, and a value of 0 representing that the corresponding automation terminal is not configured. Omega index is a set of subscripts that satisfy a particular condition. VAR is a set of variables whose subscripts meet certain conditions;
step 2) defining a logical AND operator And a logical OR operator;
in step 2, the method for building the power outage time function of the load on the power distribution network automation terminal is adopted.
In step 3, the method for constructing the power distribution network automation terminal optimal configuration model is adopted.
In step 4, an improved island type parallel genetic algorithm is adopted to solve to obtain an optimal configuration scheme, a plurality of independent initial populations are adopted in an island type model and distributed to each thread, the evolution process of each population is adopted, the populations are probed in each search space, and information exchange is realized by adopting a migration mechanism between the populations.
Compared with the prior art, the invention has the following technical effects:
the invention can be well adapted to the power distribution network with more and more complex structure, more and more diversified operation modes and more various types of automatic terminals, and can enable the power distribution network to operate more completely and stably in an automatic mode.
Drawings
The invention is further illustrated by the following examples in conjunction with the accompanying drawings:
FIG. 1 is a flow chart of the execution of an improved island-type parallel genetic algorithm;
FIG. 2 is a flow chart of a configuration in the present invention;
FIG. 3 is a topology of a test system;
Fig. 4 is a diagram of a change in the number of automated terminals of the power distribution network;
fig. 5 is a solution target value change diagram.
Detailed Description
An optimal configuration method of an automatic terminal of a power distribution network comprises the following steps:
step 1: providing a set of logical operators considering AND or OR relations;
Step 2: constructing a power failure time function of the load on the power distribution network automation terminal based on the logic operator in the step 1;
Step 3: building an optimal configuration model of the power distribution network automation terminal based on the power failure time function in the step 2, wherein the sum of minimized power failure loss and capital investment is taken as a target, and the capital investment is taken as a constraint;
Step 4: based on the optimal configuration model in the step 3, an improved island type parallel genetic algorithm is adopted for solving to obtain an optimal configuration scheme;
In step 1, the method specifically comprises the following steps:
step 1) defines a set of variables.
VAR＝{vari|i∈Ωindex}
Wherein: the variable var i is a decision boolean variable herein, a value of 1 representing that the corresponding automation terminal is configured at i, and a value of 0 representing that the corresponding automation terminal is not configured. Omega index is a set of subscripts that satisfy a particular condition. VAR is a set of variables whose subscripts satisfy a certain condition.
Step 2) defining a logical AND operator And (·) And a logical OR operator Or (·) for operating on the variable set.
In step 2, the method specifically comprises the following steps:
Step 1) building a load power failure time general term expression which only considers the manual isolating switch x;
wherein: x i,j is the set of X variables between fault i to load j on feeder f; is a judging operator related to the action time of the manual isolating switch; is a decision operator regarding maintenance time; t search is the fault line patrol constant of the feeder line, and is related to the total length of the medium-voltage section and the low-voltage section of the feeder line; t mcs is the action time constant of the manual isolating switch; t rep is a fault maintenance time constant
Step 2) constructing a load power failure time general term expression considering the manual isolating switch x and the fault indicator y:
va(x,y)＝And(Or(Yi,a),Or(Xj,a))
Wherein: Is a judging operator for judging that no fault indicator exists between the section s and the fault i; y i,s is the set of Y variables between fault i to section s on feeder f; Line patrol time for section s; omega s is the set of segments; v a (x, y) is a switch installation candidate position auxiliary variable for determining whether a manual disconnecting switch on the load side of the switch installation candidate position a n is present simultaneously with the fault indicator on the fault side; y i,a is the set of Y variables between fault i on feeder f to switch installation candidate position a n; x j,a is the set of X variables between the load j on the feeder f to the switch installation candidate position a n; Is an operator for determining whether the load j needs to go through line patrol time; v i,j (x, y) is the set of all auxiliary variables V a (x, y) between fault i to load j;
Step 3) building a load power failure time general term expression of the manual isolating switch x and the fault indicator y and the automatic isolating switch z simultaneously:
Wherein: t rcs is the automatic disconnecting switch operation time.
In step 3, the method specifically comprises the following steps:
step 1) building a general term expression of power outage loss related to an automatic terminal of a power distribution network.
This patent will trouble and lead to the distribution network after having a power failure, and all selling charges that the electricity company lost in the outage time are as electric wire netting side outage loss, and its mathematical expression is:
wherein: omega f,i is the set of faults i on feeder f; omega f,j is the set of loads j on feed line f; omega j,k is the set of all load types for load point j; lambd i is the expected probability of failure i; p t,k is the load amount of the kth type load in the t-th year; r k is the unit price of electricity for the kth type of load;
This patent will break down and lead to the distribution network after having a power failure, the user loses in the outage time and loses as user side outage, and its mathematical expression is:
Wherein: CDF k (·) is a power loss function
In this patent, the total outage loss, namely the sum of the power grid side outage loss and the load side outage loss, is used as one of the optimization targets, and the mathematical expression is as follows:
CIC(x,y,z)＝GCIC(x,y,z)+LCIC(x,y,z)
and 2) constructing a general term expression of the capital investment related to the power distribution network automation terminal.
The sum of the primary investment cost of the patent, namely the primary investment cost of all the automatic terminals on all feeder lines of the whole power distribution network, is expressed as follows:
wherein: omega f is a feed line set in the power distribution network; omega f,a,Ωf,d is a candidate installation position set of the isolating switch and the fault indicator on the feeder line f; inv MCS,invFI and inv RCS are manual disconnectors, respectively, and the primary investment cost of the fault indicator and the automatic disconnectors;
The later maintenance cost in this patent is the sum of maintenance cost during the whole service life of the automation terminal, and its mathematical expression is:
Wherein: omega t is the estimated age of the automated terminal; DR is the maintenance fee discount rate.
The full life cycle cost, i.e. the sum of the primary investment cost and the later maintenance cost, is taken as one of the optimization targets and the constraint in this patent, and the general term expression is adopted.
And 3) constructing an optimal configuration model of the power distribution network automation terminal with the aim of minimizing the sum of power outage loss and fund investment, wherein the fund investment is a constraint.
This patent is directed to minimizing the sum of outage losses and capital investment due to permanent failure with limited capital investment, and its corresponding optimization model is shown below:
minimize CIC(x,y,z)+LCC(x,y,z)
Wherein: LCC lim is a full life cycle upper cost limit, considering that the installation candidate positions of the manual disconnector and the automatic disconnector are consistent, installation constraints are added, i.e. only one type of disconnector can exist at the same disconnector installation position.
Step 4 comprises:
In the island model, in order to enhance randomness, a plurality of independent initial populations are adopted and distributed to each thread, the evolution process of each population is adopted, the island model is explored in each search space, and the population is ensured to be calculated and information exchange is realized by adopting a migration mechanism. To further improve the algorithm efficiency, an adaptive adjustment stage is added to the algorithm flow, which enhances the balancing capability in the search process, in which stage the most adaptable individual will be used for tabu search, and the least adaptable individual will be subjected to global search, the flow chart of which is shown in fig. 1.
Examples:
the patent adopts an IEEE RBTS-BUS4 power distribution network system as a tested power distribution network system, and the topological structure is shown in figure 3.
The power distribution system has 7 feeder lines, 38 load nodes, 241 various terminal candidate positions and 4779 users, and the total average load is 24.58MW.
It can be found that if a general violent algorithm is adopted for solving, 2 241 kinds of solution results exist, the dimension disaster will occur, and on the other hand, the model is also very suitable for verifying the validity of the model proposed by the patent.
The relevant parameters adopted by the patent are as follows:
TABLE 1 time class parameters
TABLE 2 price class parameters
Wherein R 1,R2 and R 3 are respectively the unit price of electricity for residential, commercial and industrial loads
TABLE 3 failure class parameters
Wherein p low,vlow, p mid and v mid are fault probability coefficients and line inspection speeds of the low voltage section and the medium voltage section respectively, and p T is the fault probability of the medium voltage transformer.
Table 4 solving for class parameters
TABLE 5 Power failure loss coefficient for various types of loads
The result of the solution is shown in fig. 4 and 5.
With respect to fig. 4, during the increasing LCC process, it can be found that:
The manual isolating switch is firstly put into configuration, the number of the manual isolating switch reaches 15 peaks for the first time around 2000000, then the manual isolating switch descends and reaches the peak value for the second time around 4500000, and finally the manual isolating switch drops to 0.
For the fault indicator, it is always in a state of relatively large fluctuation, and the peak value and the peak valley of the quantity curve are largely coincident with the peak value and the valley of the quantity curve of the manual isolating switch, but unlike the manual isolating switch, it is finally kept at 38.
Since the automatic disconnecting switch is most expensive, when the LCCs are smaller, no configuration is put into the distribution network, but as the LCCs rise, the number of automatic disconnecting switches gradually rises, and finally, the number of automatic disconnecting switches is stabilized at 51.
With respect to fig. 5, it is found that the composite cost is at a minimum, and it is found that the power outage loss is relatively large when the LCC is small, and the power outage loss can be reduced by adding the LCC, but because the power outage loss has a saturation characteristic according to the above analysis, when the LCC is continuously increased after being reduced to a certain value, the power outage loss is not substantially reduced any more, resulting in an increase in the composite cost.
The above results fully prove the rationality and the effectiveness of the optimal configuration method of the power distribution network automation terminal.
Claims (1)
1. The method for constructing the power failure time function of the load on the power distribution network automation terminal is characterized by comprising the following steps of:
step 1: building a load power failure time general term model only considering the manual isolating switch x;
Step 2: building a load power failure time general term model taking the manual isolating switch x and the fault indicator y into consideration;
Step 3: building a load power failure time general term model which simultaneously considers the manual isolating switch x and the fault indicator y and automatically isolates the switch z;
In step 1, the load outage time general term expression of the manual isolating switch x is:
wherein: x i,j is the set of X variables between fault i to load j on feeder f; is a judging operator related to the action time of the manual isolating switch; is a decision operator regarding maintenance time; t search is the fault line patrol constant of the feeder f, and is related to the total length of the medium-voltage section and the low-voltage section of the feeder f; t mcs is the action time constant of the manual isolating switch; t rep is a fault maintenance time constant;
in step2, consider the load outage time general expression for the manual disconnector x and fault indicator y as:
va(x,y)＝And(Or(Yi,a),Or(Xj,a))
Wherein: Is a judging operator for judging that no fault indicator exists between the section s and the fault i; y i,s is the set of Y variables between fault i to section s on feeder f; Line patrol time for section s; omega s is the set of segments; v a (x, y) is a switch installation candidate position auxiliary variable for determining whether a manual disconnecting switch on the load side of the switch installation candidate position a n is present simultaneously with the fault indicator on the fault side; y i,a is the set of Y variables between fault i on feeder f to switch installation candidate position a n; x j,a is the set of X variables between the load j on the feeder f to the switch installation candidate position a n; Is an operator for determining whether the load j needs to go through line patrol time; v i,j (x, y) is the set of all auxiliary variables V a (x, y) between fault i to load j;
In step 3, the load outage time general term expressions of the manual disconnecting switch x, the fault indicator y and the automatic disconnecting switch z are considered at the same time, and are as follows:
Wherein: t rcs is the action time of the automatic isolating switch;
the logical operator is defined by:
step 1) defining a variable set:
VAR＝{vari|i∈Ωindex}；
Wherein: the variable VAR i is a decision Boolean variable, the value of which is 1 represents that a corresponding automatic terminal is configured at the i position, the value of which is 0 represents that a corresponding automatic terminal is not configured, omega index is a subscript set meeting a specific condition, and VAR is a variable set of which the subscript meets the specific condition;
step 2) defining a logical AND operator And a logical OR operator;
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210617054.7A CN115062931B (en) | 2021-01-21 | 2021-01-21 | Method for building power failure time function of load on power distribution network automation terminal |
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| Application Number | Priority Date | Filing Date | Title |
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| CN202110084493.1A CN112766738B (en) | 2021-01-21 | 2021-01-21 | Optimal configuration method for distribution network automation terminal |
| CN202210617054.7A CN115062931B (en) | 2021-01-21 | 2021-01-21 | Method for building power failure time function of load on power distribution network automation terminal |
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| CN202110084493.1A Division CN112766738B (en) | 2021-01-21 | 2021-01-21 | Optimal configuration method for distribution network automation terminal |
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| CN115062931A CN115062931A (en) | 2022-09-16 |
| CN115062931B true CN115062931B (en) | 2024-07-09 |
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