CN109902361A - A kind of power distribution network switching optimization method of logic-based operator - Google Patents
A kind of power distribution network switching optimization method of logic-based operator Download PDFInfo
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Abstract
The invention discloses a kind of power distribution network switching optimization methods of logic-based operator, and the configuration method of the distribution system switch is the following steps are included: step 1: providing two kinds of mathematical expression forms for being suitable for the logical operator or and if of power distribution network switching optimization；Step 2: building typical distribution gateway in the power off time model of automatic switch and manual switch using two logical operator mathematical expression forms that step 1 proposes；Step 3: the power off time model buildings power distribution network switching optimization model built using step 2, and solved using genetic algorithm.
Description
Technical field
The present invention relates to electric power system power distribution fields of automation technology, open more particularly to the power distribution network of logic-based operator
Close Optimal Configuration Method.
Background technique
With the development of economy and society, requirement of the people to power supply reliability increasingly improves.Improve having for power supply reliability
Effect strategy is to improve fault location efficiency, shorten Fault Isolation time and service restoration time.In recent years, automatic switch is being matched
Deep application is obtained in power grid, by the information Perception and action control to power distribution network, automatic switch improves in which can dramatically
The operational reliability of power distribution network.But the investment of automatic switch is larger, grid company faces between power supply reliability and economy
Contradiction.In addition, the complexity of power distribution network topological structure and the diversity of the method for operation also increase automatically to a certain extent
The configuration difficulty of switch.In conclusion how on the basis of taking into account reliability and economy, to the installation number of automatic switch
The important topic that preferably grid company faces is carried out with installation site.
Therefore, it is desirable to have a kind of power distribution network switching optimization method of logic-based operator effectively to solve the prior art
The problem of.
Summary of the invention
The invention discloses a kind of power distribution network switching optimization method of logic-based operator, the distribution system switches
Configuration method the following steps are included:
Step 1: two kinds of mathematical expression forms for being suitable for the logical operator or and if of power distribution network switching optimization are provided；
Step 2: building typical distribution gateway using two logical operator mathematical expression forms that step 1 proposes and opened in automatically
Close the power off time model with manual switch；
Step 3: the power off time model buildings power distribution network switching optimization model built using step 2, and using something lost
Propagation algorithm is solved.
Preferably, the step 1 specifically includes the following steps:
Step 1.1: introducing the mathematic(al) representation (1) of logical operator or, the mathematic(al) representation of logical operator or are as follows: if solution
Set in have solution value be 1, then the expression formula value be 1, otherwise value be 0, formula (1) are as follows:
Wherein X is the set of solution, ΩXIt is the inferior horn label of all solutions in set, xiIt is the solution that inferior horn is designated as i in set；
Step 1.2: the logical operator or of step 1.1 is converted into mathematic(al) representation (2):
Step 1.3: the mathematic(al) representation (3) of logical operator if, the mathematical expression of logical operator if are introduced based on step 1.1
Formula are as follows: if having solution value in the set of solution is 1, which is a, and otherwise value is b, formula (3) are as follows:
Step 1.4: the logical operator if of step 1.3 is converted into mathematic(al) representation (4):
Preferably, the step 2 specifically includes the following steps:
Step 2.1: a solution vector is separately provided for the manual switch allocation optimum and automatic switch configuration of route；
Step 2.2: according in radiation type distribution network, building formula (8), (9) and (10) 3 groups of basis power off time tables first
Up to formula:
The case where wherein formula (8) indicates are as follows: the access between failure and load does not switch or failure is located at load
Upstream；When failure is located at load upstream, there is switch in access, and interconnection switch is not present in route end, and power off time is failure
The sum of positioning time, fault correction time and breaker actuation time；
The case where wherein formula (9) indicates are as follows: in the upstream of load, the access between failure and load exists manual failure
Switch or automatic switch, power off time are the sum of fault location time, respective switch actuation time and breaker actuation time；
The case where wherein formula (10) indicates are as follows: failure is opened between failure and load there are corresponding in the downstream of load
It closes, route end has corresponded to 4 different power off times there is also corresponding switch；
Wherein tlocFor fault location time, tmcsFor manual switch actuation time, trcsTo be automatically switched actuation time, tcb
For the breaker actuation time；
Step 2.3: build load in the specific power off time model of failure upstream, according toIt arrivesSwitch there are feelings
Condition obtains power off time such as formula (11):
Step 2.4: the specific power off time model conversion by load in failure upstream is the power failure indicated with logical operator
Time model, such as formula (12):
WhereinWithAll manual switches between a articles specific electric load l to failure f with open automatically
Close the set of solution；
Step 2.5: build load in the specific power off time model of fault down stream, according toIt arrivesFtu and end
Tail interconnection switch there are situations, obtain power off time such as formula (13):
Step 2.6: in the specific power off time model conversion of fault down stream being the power failure indicated with logical operator by load
Time model such as formula (14):
Step 2.7: building load and failure, there is no the power off time model such as formula (15) of switch installation position candidate:
Preferably, the step 2.1 takes the solution vector of a bars route manual switch and the solution of a articles route automatic switch
The solution vector of the set expression route of vector, wherein the solution vector of a bars route manual switch is formula (5), a articles route is certainly
The solution vector of dynamic switch is formula (6), and the solution vector of route is formula (7):
Xa=(Xa-mcs,Xa-rcs) (7)
WhereinIndicate whether a articles route, first switch installation position candidate installs manual switch,
Represent whether a articles route, first switch installation position candidate installs automatic switch.
Preferably, the step 3 specifically includes the following steps:
Step 3.1: the power supply for acquiring entire distribution system using the double-deck traversal of traversal load traversal failure is reliable
Property model, such as formula (16)
Wherein, ΩfeederFor all feeder line set of system,For load aggregation all on a bars line,For a
The set of all possible fault point on bar line；NlFor the number of users of system；
Step 3.2: whole system is acquired because of loss of outage, such as formula caused by having a power failure using the double-deck traversal
(17):
WhereinFor the failure rate of f-th of failure on a bars line；ΩtFor the conjunction of load set of types；For first of load reset
The load of t type load type；For the loss of outage function of corresponding power off time；
Step 3.3: the whole life costing of switch is acquired, such as formula (18):
Wherein h is maintenance cost coefficient；CostmcsFor manual switch expense；CostrcsTo be automatically switched expense；
Step 3.4: power distribution network switch allocation optimum model is built, such as formula (19)
Step 3.5: being solved with genetic algorithm.
The present invention proposes a kind of power distribution network switch optimal configuration method of logic-based operator, and the present invention is accurately built
Model of the distribution system switch about power off time, and there is very high computational efficiency, it is extremely suitable for practical engineering application.
Detailed description of the invention
Fig. 1 is the power distribution network switch optimal configuration method flow chart of logic-based operator.
Fig. 2 is that step 2.3 builds load in the specific power off time model schematic of failure upstream.
Fig. 3 is that step 2.4 builds load in the specific power off time model schematic of fault down stream.
Fig. 4 is step 3.5 genetic algorithm flow chart.
Fig. 5 is optimized switching allocation plan schematic diagram.
Specific embodiment
To keep the purposes, technical schemes and advantages of the invention implemented clearer, below in conjunction in the embodiment of the present invention
Attached drawing, technical solution in the embodiment of the present invention is further described in more detail.In the accompanying drawings, identical from beginning to end or class
As label indicate same or similar element or element with the same or similar functions.Described embodiment is the present invention
A part of the embodiment, instead of all the embodiments.The embodiments described below with reference to the accompanying drawings are exemplary, it is intended to use
It is of the invention in explaining, and be not considered as limiting the invention.Based on the embodiments of the present invention, ordinary skill people
Member's every other embodiment obtained without creative efforts, shall fall within the protection scope of the present invention.
As shown in Figure 1, a kind of configuration method of distribution system switch the following steps are included:
Step A: two kinds of mathematical expression forms for being suitable for the logical operator or and if of power distribution network switching optimization are provided；
Step B: typical distribution gateway is built using two logical operator mathematical expression forms that step 1 proposes and is opened in automatically
Close the power off time model with manual switch；
Step C: the power off time model buildings power distribution network switching optimization model built using step 2, and using something lost
Propagation algorithm is solved.
The step A includes:
Because fixing position for some, whether switch is installed and can be indicated by 1 or 0, in view of this, introduces related
Logical operator
Step A1. introduces logical operator or, expression are as follows:
Wherein X is a series of set of solutions, ΩXIt is the inferior horn label of all solutions in set, xiIt is that inferior horn is designated as i in set
One solution.Its mathematical meaning is in the set of solution as long as being 1 there are 1 solution value, then the expression formula value is 1, otherwise value
It is 0.
Logical operator or is converted to mathematic(al) representation by step A2.:
Step A3. is based on step A1, introduces logical operator if, expression are as follows:
Its mathematical meaning is in the set of solution as long as being 1 there are 1 solution value, then the expression formula value is a, and otherwise value is
b。
Logical operator if is converted to mathematic(al) representation by step A5.
In one embodiment of the invention, the step B includes:
Step B1: one is separately provided about the allocation optimum of manual switch and the configuration of automatic switch for certain route
Solution vector is such as:
The a articles solution vector of route about manual switch and the solution vector about automatic switch are respectively represented, whereinWithRepresent whether a articles route, first switch installation position candidate installs manual switch or installation certainly
Dynamic switch, it is evident that the two cannot take 1 simultaneously.In order to facilitate expression, the set of the two is taken are as follows:
Xa=(Xa-mcs,Xa-rcs) (7)
Represent the solution vector of this bar line.
Step B2: according to the actual conditions in radiation type distribution network, 3 groups of basis power off time expression formulas are built first.
Access of the case where wherein first group of power off time represents between failure and load there is no any type switch,
Or failure is located at load upstream, and there are any switches for access, but interconnection switch is not present in route end, power off time is
Fault location time, fault correction time, the sum of breaker actuation time.
The case where second group of power off time represents is failure in the upstream of load, and the access between simultaneous faults and load is deposited
In manual switch (Mannual Controlled Switch, MCS) or automatic switch (Remote Controlled
Switch, RCS), corresponding power off time is fault location time, respective switch actuation time, the sum of breaker actuation time.
The case where third group power off time represents failure is in the downstream of load, and there are corresponding between simultaneous faults and load
Switch, route end have corresponded to 4 different power off times there is also corresponding switch.In order to facilitate expression, it is specified that subscript
For switch or the repair time for playing the role of isolated fault, superscript is to play the switch to restore electricity.
Wherein tlocFor fault location time, tmcsFor manual switch actuation time, trcsTo be automatically switched actuation time, tcb
For the breaker actuation time.
As shown in Fig. 2, step B3 builds load in the specific power off time model of failure upstream
According toIt arrivesSwitch there are situation, available power off time is as follows
Step B3: when the specific power off time model conversion by load in failure upstream is the power failure indicated with logical operator
Between model.
WhereinWithAll manual switches between a articles specific electric load l to failure f with open automatically
Close the set of solution.
As shown in figure 3, step B4: building load in the specific power off time model of fault down stream
According toIt arrivesFtu and end interconnection switch there are situation, available power off time is as follows
Step B5: by load when the specific power off time model conversion of fault down stream is the power failure indicated with logical operator
Between model.
Step B6: building load and failure, there is no the power off time models of switch installation position candidate
In one embodiment of the invention, the step C includes:
Step C1: the power supply for acquiring entire distribution system using one double-deck traversal of traversal load-traversal failure is reliable
Property model
Wherein ΩfeederFor all feeder line set of system,For load aggregation all on a bars line,For a
The set of all possible fault point on bar line；NlFor the number of users of system.
Step C2: same that whole system is acquired because of loss of outage caused by having a power failure using the double-deck traversal
WhereinFor the failure rate of f-th of failure on a bars line；ΩtFor the conjunction of load set of types；For first of load reset
The load of t type load type；For the loss of outage function of corresponding power off time
Step C3: the whole life costing of switch is acquired
Wherein h is maintenance cost coefficient；CostmcsFor manual switch expense；CostrcsTo be automatically switched expense
Step C4: power distribution network switch allocation optimum model is built
As shown in figure 4, step C5: being solved with genetic algorithm.
Mentioned method is tested on IEEE RBTS-BUS4 power distribution network.IEEE RBTS-BUS4 power distribution network is one
Intermediate distribution system, there is 38 load bus, 4779 family users, and overall average load is 24.58MW.
In test, parameter setting is as follows: the investment cost of RCS and MCS is respectively 3093 dollars, 17500 dollars.Switch is every
The operating maintenance expense in year is the 5% of investment cost, and the service life of switch is 20 years.Automatic section switch, automatic contact are opened
It closes, manual segmentation switch, the actuation time of manual interconnection switch is 5min, 10min, 60min, 120min respectively.Mean failure rate
Maintenance time is 240min.The breaker actuation time is 400 seconds.Default fault location time is 30min.Reliability index threshold value
ASAIlimIt is 99.95%
Problem above is solved using the method that this patent proposes, the optimized switching allocation plan such as Fig. 5 institute provided
Show, including 7 automatic interconnection switchs, 7 automatic section switches and 25 manual segmentation switches.
Finally it is noted that the above embodiments are merely illustrative of the technical solutions of the present invention, rather than its limitations.To the greatest extent
Present invention has been described in detail with reference to the aforementioned embodiments for pipe, those skilled in the art should understand that: it is still
It is possible to modify the technical solutions described in the foregoing embodiments, or part of technical characteristic is equally replaced
It changes；And these are modified or replaceed, the essence for technical solution of various embodiments of the present invention that it does not separate the essence of the corresponding technical solution
Mind and range.
Claims (5)
1. a kind of power distribution network switching optimization method of logic-based operator, which is characterized in that the distribution system switch
Configuration method the following steps are included:
Step 1: two kinds of mathematical expression forms for being suitable for the logical operator or and if of power distribution network switching optimization are provided；
Step 2: using step 1 propose two logical operator mathematical expression forms build typical distribution gateway in automatic switch with
The power off time model of manual switch；
Step 3: the power off time model buildings power distribution network switching optimization model built using step 2, and calculated using heredity
Method is solved.
2. the power distribution network switching optimization method of logic-based operator according to claim 1, it is characterised in that: described
Step 1 specifically includes the following steps:
Step 1.1: introducing the mathematic(al) representation (1) of logical operator or, the mathematic(al) representation of logical operator or are as follows: if the collection of solution
Having solution value in conjunction is 1, then the expression formula value is 1, and otherwise value is 0, formula (1) are as follows:
Wherein X is the set of solution, ΩXIt is the inferior horn label of all solutions in set, xiIt is the solution that inferior horn is designated as i in set；
Step 1.2: the logical operator or of step 1.1 is converted into mathematic(al) representation (2):
Step 1.3: the mathematic(al) representation (3) of logical operator if, the mathematic(al) representation of logical operator if are introduced based on step 1.1
Are as follows: if having solution value in the set of solution is 1, which is a, and otherwise value is b, formula (3) are as follows:
Step 1.4: the logical operator if of step 1.3 is converted into mathematic(al) representation (4):
3. the power distribution network switching optimization method of logic-based operator according to claim 1, it is characterised in that: described
Step 2 specifically includes the following steps:
Step 2.1: a solution vector is separately provided for the manual switch allocation optimum and automatic switch configuration of route；
Step 2.2: being expressed according to formula (8), (9) and (10) 3 groups of basis power off times in radiation type distribution network, are built first
Formula:
The case where wherein formula (8) indicates are as follows: the access between failure and load does not switch or failure is located at load upstream；
When failure is located at load upstream, there is switch in access, interconnection switch is not present in route end, when power off time is fault location
Between, the sum of fault correction time and breaker actuation time；
The case where wherein formula (9) indicates are as follows: failure is in the upstream of load, and there are manual switches for the access between failure and load
Or automatic switch, power off time are the sum of fault location time, respective switch actuation time and breaker actuation time；
The case where wherein formula (10) indicates are as follows: failure is in the downstream of load, and there are corresponding switch, lines between failure and load
Road end has corresponded to 4 different power off times there is also corresponding switch；
Wherein tlocFor fault location time, tmcsFor manual switch actuation time, trcsTo be automatically switched actuation time, tcbIt is disconnected
Road device actuation time；
Step 2.3: build load in the specific power off time model of failure upstream, according toIt arrivesSwitch there are situations, obtain
To power off time such as formula (11):
Step 2.4: the specific power off time model conversion by load in failure upstream is the power off time indicated with logical operator
Model, such as formula (12):
WhereinWithAll manual switches and automatic switch between a articles specific electric load l to failure f solve
Set；
Step 2.5: build load in the specific power off time model of fault down stream, according toIt arrivesFtu and end contact
Switch there are situations, obtain power off time such as formula (13):
Step 2.6: in the specific power off time model conversion of fault down stream being the power off time indicated with logical operator by load
Model such as formula (14):
Step 2.7: building load and failure, there is no the power off time model such as formula (15) of switch installation position candidate:
4. the power distribution network switching optimization method of logic-based operator according to claim 3, it is characterised in that: described
Step 2.1 takes the set expression route of the solution vector of a bars route manual switch and the solution vector of a articles route automatic switch
Solution vector, wherein the solution vector of a bars route manual switch is formula (5), the solution vector of a articles route automatic switch is formula
(6), the solution vector of route is formula (7):
Xa=(Xa-mcs,Xa-rcs) (7)
WhereinIndicate whether a articles route, first switch installation position candidate installs manual switch,It represents
Whether a articles route, first switch installation position candidate installs automatic switch.
5. the power distribution network switching optimization method of logic-based operator according to claim 1, it is characterised in that: described
Step 3 specifically includes the following steps:
Step 3.1: the power supply reliability mould of entire distribution system is acquired using the double-deck traversal of traversal load traversal failure
Type, such as formula (16)
Wherein, ΩfeederFor all feeder line set of system,For load aggregation all on a bars line,For a bars line
The set of upper all possible fault point；NlFor the number of users of system；
Step 3.2: whole system is acquired because of loss of outage caused by having a power failure, such as formula (17) using the double-deck traversal:
WhereinFor the failure rate of f-th of failure on a bars line；ΩtFor the conjunction of load set of types；For first of load reset t class
The load of load type；For the loss of outage function of corresponding power off time；
Step 3.3: the whole life costing of switch is acquired, such as formula (18):
Wherein h is maintenance cost coefficient；CostmcsFor manual switch expense；CostrcsTo be automatically switched expense；
Step 3.4: power distribution network switch allocation optimum model is built, such as formula (19)
Step 3.5: being solved with genetic algorithm.
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| CN112766738A (en) * | 2021-01-21 | 2021-05-07 | 三峡大学 | Optimal configuration method for distribution network automation terminal |
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