CN109495843A - A kind of fixed point wireless charging base station dispositions method based on convex closure selection - Google Patents

A kind of fixed point wireless charging base station dispositions method based on convex closure selection Download PDF

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CN109495843A
CN109495843A CN201910018110.3A CN201910018110A CN109495843A CN 109495843 A CN109495843 A CN 109495843A CN 201910018110 A CN201910018110 A CN 201910018110A CN 109495843 A CN109495843 A CN 109495843A
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base station
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charging
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CN109495843B (en
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程瑜华
万鹏
吴宝瑜
王高峰
李文钧
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Wenzhou Huidian Technology Co ltd
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Hangzhou University Of Electronic Science And Technology Wenzhou Research Institute Co Ltd
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W4/00—Services specially adapted for wireless communication networks; Facilities therefor
    • H04W4/02—Services making use of location information
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W16/00—Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
    • H04W16/18—Network planning tools
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W84/00—Network topologies
    • H04W84/18—Self-organising networks, e.g. ad-hoc networks or sensor networks

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  • Computer Networks & Wireless Communication (AREA)
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Abstract

The invention discloses a kind of fixed point wireless charging base station dispositions methods based on convex closure selection.The charging base station location of existing wireless chargeable sensor network, which is planned, lacks flexibility, and there are certain deficiencies in practical application.The present invention is as follows: one, plane right-angle coordinate is established, it will the corresponding n ordinary node in position be put into plane right-angle coordinate respectively with the wireless chargeable sensors of n.Two, the deployed position of candidate base station is found out, and determines the overlay node set of candidate base station.Three, the deployed position of charging base station is determined.Four, arrangement charging base station on each base station deployment position for determining step 2 and three.The present invention improves the effect of charging base station deployment position by way of calculating convex closure to each ordinary node, and substantially reduces calculation amount.The present invention, which is got rid of, needs to assume in advance base station in the constraint of certain fixed area, according to the location information of chargeable sensor wireless in wireless sensor network in existing method.

Description

A kind of fixed point wireless charging base station dispositions method based on convex closure selection
Technical field
The invention belongs to wireless chargeable sensor network technique fields, and in particular to a kind of fixed point based on convex closure selection Wireless charging base station dispositions method.
Background technique
5G technology communication speed, in terms of have huge promotion, therefore, internet is also marched toward intelligence from mobile interchange It can interconnect, our life also can become very convenient with the arrival in 5G epoch.Sensor device is to realize intelligent interconnection Basis, wireless charging technology provide resolving ideas for the energy problem of sensor network, and then wireless chargeable sensor is answered It transports and gives birth to.In wireless chargeable sensor network, sixty-four dollar question be how to dispose least charging base station go to meet it is whole The cost of the energy demand of a sensor network, base station of charging is very high, how to select charging base station type, and reduce redundancy base It stands, the operating cost of entire sensor network can be effectively reduced.
Currently, the charging base station deployment problem about wireless chargeable sensor network, for the different spy in charging base station Point has some researchs.Hao Peng et al. is in a kind of patent " direction-adaptive wireless charging technology based on beam forming " (patent Number: in CN103441583A), a kind of wireless charging technology based on beam forming technique is proposed, this technology is relative to electricity Magnetic inductive wireless charging mode can be improved the distance of wireless charging, and can mention relative to resonance type wireless charging modes The efficiency of high wireless charging, but just for the operating mode of single charging base station in patent, without reference to wireless in Sensor Network The optimization for the base station number that charges.Wu Yifan et al. is in a kind of patent " contactless charge node deployment of facing sensing device network Method " in (patent No.: CN201310276000.X), propose a kind of position planing method of wireless charging base station.This method First the regional network to charge will be needed to format, all sensor device nodes are all inside grid, then on the lattice point of grid Dispose wireless charging base station, the base station of this dispositions method deployment is not necessarily on optimum position, and base station location planning of charging Lack flexibility, there are certain deficiencies in practical application, in addition, he, which further supposes charging base station, a charging radius, fill The value of electric radius can cause a certain number of errors to the deployment number of charging base station.Therefore, farther away using charging distance Wireless charging base station proposes that a kind of charging base station location can be with flexible planning, base station that the base station number that charges can be optimized Dispositions method is particularly significant.
Summary of the invention
The purpose of the present invention is to provide a kind of fixed point wireless charging base station dispositions methods based on convex closure selection.
The specific steps of the present invention are as follows:
Step 1 establishes plane right-angle coordinate, will n corresponding with the wireless chargeable sensors difference position n it is common Node is put into plane right-angle coordinate.The collection of n ordinary node composition is combined into ordinary node set U.I is assigned to by 1.
Step 2, the deployed position for finding out candidate base station, and determine the overlay node set of candidate base station.
2-1, foundation are initially the candidate base station set S of empty seti.Establish candidate sensor set CU.Candidate sensor collection CU is closed, enables candidate sensor set CU equal with ordinary node set U.
2-2, according to the coordinate of each ordinary node in candidate sensor set CU, find out the convex of candidate sensor set CU Packet, is assigned to k for 1.
One of vertex of convex closure obtained by 2-3, selecting step 2-2, as i-th of candidate base station ciThe 1st covering Node qi,1, the overlay node set Q of i-th of candidate base station is addediIn.By i-th of candidate base station ciThe 1st overlay node qi,1It is removed from candidate sensor set CU.I-th of candidate base station ciThe 1st overlay node qi,1Coordinate be (xi,1, yi,1).With i-th of candidate base station ciThe 1st overlay node qi,1Initial position of the position as i-th of candidate base station.I-th The coordinate of the initial position of a candidate base station is (ai,1,bi,1), ai,1=xi,1, bi,1=yi,1。
2-4, take candidate sensor set CU interior and coordinate (ai,k,bi,k) apart from nearest ordinary node, it is saved as candidate Point.The coordinate of both candidate nodes is (x ', y ').Both candidate nodes are removed from candidate sensor set CU.
2-5, calculation base station update prediction coordinate (a ', b ')；Wherein, shown in the expression formula of a ' such as formula (1)；The expression formula of b ' As shown in formula (2)；
In formula (1) and (2), wi,jIndicate i-th of candidate base station ciJ-th of overlay node qi,jIt is corresponding wireless chargeable The power of sensor；xi,jFor i-th of candidate base station ciJ-th of overlay node qi,jAbscissa；yi,jFor i-th of candidate base Stand ciJ-th of overlay node qi,jOrdinate；W ' is the power of the corresponding wireless chargeable sensor of both candidate nodes；β's takes Value isη is efficiency of transmission when charging base station and wireless chargeable sensor closely；The value of α is GtFor the gain size of the transmitting antenna for base station of charging；GrFor the gain size of the receiving antenna of wireless chargeable sensor；λ is The wavelength of charging base station and electromagnetic wave used when wirelessly chargeable sensor is wirelessly transferred.
2-6, i-th of candidate base station c is calculatediThe charging sleep time for charging to both candidate nodesAs shown in formula (3)；
In formula (3), T is the charge cycle of charging base station, shown in expression formula such as formula (4).ti,jFor i-th of candidate base station ciJ-th of overlay node charging duration, shown in expression formula such as formula (5).T ' is the charging duration of both candidate nodes, expression Shown in formula such as formula (6).
In formula (4), CM is the battery capacity of each wireless chargeable sensor.wmaxFor in each wireless chargeable sensor The power of prominent sensor.
In formula (5), PtFor the rated power for base station of charging；P(dij) it is that spacing is equal to dijCharging base station with can wirelessly fill Charge efficiency between electric transducer, expression formula aredijFor i-th of candidate base station ciCover for j-th Lid node qijThe distance between coordinate (a ', b ').
In formula (6), P (d ') is the charge efficiency that charges base station and wireless chargeable sensor between of the spacing equal to d ', Its expression formula isD ' is the distance of both candidate nodes and coordinate (a ', b ').
Enter step 2-7.
If 2-7,Then using both candidate nodes as i-th of candidate base station ci+ 1 overlay node q of kthi,k+1It is added the The overlay node set Q of i candidate base stationi, by i-th of candidate base station ciCoordinate be updated to (ai,k+1,bi,k+1), ai,k+1= A ', bi,k+1=b '；K is increased 1, and enters step 2-8.
IfThen it is directly entered step 2.8.
If 2-8, candidate sensor set CU are empty sets；Then enter step 3；Otherwise, step 2-4 to 2-7 is repeated.
Step 3, the overlay node set Q that i-th of candidate base station will be added in ordinary sensors set UiIn it is all general Logical node is removed from ordinary sensors set U.With coordinate (ai,k,bi,k) it is used as i-th of base station deployment position.If common sensing Device set U is not empty set, then i is increased 1, and repeat step 2；Otherwise, 4 are entered step.
Arrangement charging base station in step 4, each base station deployment position for determining step 2 and 3.
The invention has the advantages that:
1, the present invention, which is got rid of, needs to assume in advance base station in the constraint of certain fixed area, according to wireless in existing method The location information of wireless chargeable sensor in sensor network, in the premise for the energy demand for guaranteeing wireless sensor network Under, base station number as few as possible is cooked up, and provide the specific location of base station, reduces filling for entire wireless sensor network Electric cost, is more in line with practical application scene.
2, the present invention improves the effect of charging base station deployment position by way of calculating convex closure to each ordinary node, and Substantially reduce calculation amount.
3, the present invention does not set fixed charging radius, but it is chargeable to introduce different radio when arrangement charges base station The charging time of sensor is as variable.In the research of existing many charging base station deployments, assume that charging base station has one A charging radius, if sensor is more than the range of this radius at a distance from base station, base station of charging sensor can not charge thus. But in practice, the function as performed by each sensor node is different, their energy consumption is also different, therefore same charging Base station is different for the charging radius of the wireless chargeable sensor of different power consumption.Simply set up the side of a charging radius Method, cannot reasonably allow charging base station includes all sensor nodes that can receive energy, leads to the charging base for disposing redundancy It stands.Therefore, the present invention can further save charging cost compared with the existing technology.
4, for the present invention using " convergence type " wireless charging base station, the area of this base station radiation is small, but radiate Distance, therefore it is adapted to that area coverage is bigger, the wider array of sensor network of distribution area.
Detailed description of the invention
Fig. 1 is the deployment schematic diagram of charging base station and wireless chargeable sensor in the present invention.
Specific embodiment
Below in conjunction with attached drawing, the invention will be further described.
The present invention is respectively provided in the same plane for wireless chargeable sensor all in wireless sensor network Charge base station deployment scene.The charging base station that the present invention is arranged is specification identical " convergence type " charging base station." convergence type " fills The swept area very little (being similar to laser to charge) of electric base station, can only cover a sensor in synchronization and fill for it The energy transmitting mode of electricity, this " convergence type " can greatly increase the radiation length of energy, i.e., the present invention uses wireless Charging base station is more farther than the distance of other charging base stations.In guaranteeing sensor network under the energy requirement of all the sensors, Base station number few as far as possible is disposed, to reduce the charging cost of entire sensor network.Charging base station can wirelessly may be used one by one Charge sensors charging.It is provided with that position is random and known n can wirelessly fill in the deployment plane of wireless sensor network Electric transducer.The relationship of charging base station and wireless chargeable sensing network is as shown in Figure 1.In Fig. 1, star is wireless chargeable biography Sensor, dot are wireless chargeable sensor.
As shown in Figure 1, a kind of fixed point wireless charging base station dispositions method based on convex closure selection, specific as follows:
Step 1 establishes plane right-angle coordinate, will n corresponding with the wireless chargeable sensors difference position n it is common Node is put into plane right-angle coordinate.The collection of n ordinary node composition is combined into ordinary node set U={ u1,u2,u3,…,un}。 I is assigned to by 1.I indicates the ordinal number of charging base station.
Step 2, the deployed position for finding out candidate base station, and determine the overlay node set of candidate base station.
2-1, foundation are initially the candidate base station set S of empty seti.Establish candidate sensor set CU.Candidate sensor collection CU is closed, enables candidate sensor set CU equal with ordinary node set U.
2-2, according to the coordinate of each ordinary node in candidate sensor set CU, find out the convex of candidate sensor set CU (convex closure is the set on all vertex of convex polygon to packet, and all vertex are in candidate sensor set CU in convex closure；Common section All ordinary nodes are not other than convex polygon in point set U).K is assigned to by 1.K indicates to cover in i-th of charging base station Sensor ordinal number.
2-3, the one of vertex for randomly selecting convex closure obtained by step 2-2, as i-th of candidate base station ciThe 1st Overlay node qi,1, the overlay node set Q of i-th of candidate base station is addediIn.And by i-th of candidate base station ciThe 1st covering Node qi,1It is removed from candidate sensor set CU.I-th of candidate base station ciThe 1st overlay node qi,1Coordinate be (xi,1,yi,1).With i-th of candidate base station ciThe 1st overlay node qi,1Initial bit of the position as i-th of candidate base station It sets.The coordinate of the initial position of i-th of candidate base station is (ai,1,bi,1), ai,1=xi,1, bi,1=yi,1。
2-4, take candidate sensor set CU interior and i-th of candidate base station ci(coordinate (ai,k,bi,k)) apart from recently general Logical node, as both candidate nodes.The coordinate of both candidate nodes is (x ', y ').Both candidate nodes are removed from candidate sensor set CU.
2-5, calculation base station update prediction coordinate (a ', b ')；Wherein, shown in the expression formula of a ' such as formula (1)；The expression formula of b ' As shown in formula (2)；
In formula (1) and (2), ai,kFor i-th of candidate base station ciCarry out the abscissa before kth time updates；bi,kIt is waited for i-th Select base station ciCarry out the ordinate before kth time updates；wi,jIndicate i-th of candidate base station ciJ-th of overlay node qi,jIt is corresponding The power of wireless chargeable sensor；xi,jFor i-th of candidate base station ciJ-th of overlay node qi,jAbscissa；yi,jIt is I candidate base station ciJ-th of overlay node qi,jOrdinate；W ' is the corresponding wireless chargeable sensor of both candidate nodes Power；The value of β isη is efficiency of transmission when charging base station and wireless chargeable sensor closely, if not into Row charging base station and wireless chargeable sensor closely when detect efficiency of transmission, then η is substituted with 1；The value of α isGtFor the gain size of the transmitting antenna for base station of charging；GrFor the gain of the receiving antenna of wireless chargeable sensor Size；λ is the wavelength of charging base station with electromagnetic wave used when wirelessly chargeable sensor is wirelessly transferred.
2-6, i-th of candidate base station c is calculatediThe charging sleep time for charging to both candidate nodesAs shown in formula (3)；
In formula (3), T is the charge cycle of charging base station, and value is equal to the continuation of the journey duration of n wireless chargeable sensors Minimum value, shown in expression formula such as formula (4).ti,jFor i-th of candidate base station ciJ-th of overlay node charging duration (with filling Electric base station is charged, from out of power to the fully charged required time), shown in expression formula such as formula (5).T ' is filling for both candidate nodes Electric duration, shown in expression formula such as formula (6).
In formula (4), CM is the battery capacity of each wireless chargeable sensor.wmaxFor in each wireless chargeable sensor The power of prominent sensor.
In formula (5), PtFor the rated power for base station of charging；P(dij) it is that spacing is equal to dijCharging base station with can wirelessly fill Charge efficiency between electric transducer, expression formula aredijFor i-th of candidate base station ciCover for j-th Lid node qijThe distance between coordinate (a ', b ').
In formula (6), P (d ') is the charge efficiency that charges base station and wireless chargeable sensor between of the spacing equal to d ', Its expression formula isD ' is the distance of both candidate nodes and coordinate (a ', b ').
If 2-7, i-th of candidate base station ciThe charging sleep time for charging to both candidate nodesThen both candidate nodes are made For i-th of candidate base station ci+ 1 overlay node q of kthi,k+1The overlay node set Q of i-th of candidate base station is addedI,By i-th A candidate base station ciCoordinate be updated to (ai,k+1,bi,k+1), ai,k+1=a ', bi,k+1=b '；K is increased 1, and is entered step 2.8。
If i-th of candidate base station ciThe charging sleep time for charging to both candidate nodesThen it is directly entered step 2.8.
If 2-8, candidate sensor set CU are empty sets；Then enter step 3；Otherwise, step 2-4 to 2-7 is repeated.
Step 3, the overlay node set Q that i-th of candidate base station will be added in ordinary sensors set UiIn it is all general Logical node is removed from ordinary sensors set U.With coordinate (ai,k,bi,k) it is used as i-th of base station deployment position.If common sensing Device set U is not empty set, then i is increased 1, and repeat step 2；Otherwise, 4 are entered step.
Arrangement charging base station in step 4, each base station deployment position for determining step 2 and 3.

Claims (1)

1. a kind of fixed point wireless charging base station dispositions method based on convex closure selection, it is characterised in that: step 1, to establish plane straight Angular coordinate system, will the corresponding n ordinary node in position be put into plane right-angle coordinate respectively with the wireless chargeable sensors of n；n The collection of a ordinary node composition is combined into ordinary node set U；I is assigned to by 1；
Step 2, the deployed position for finding out candidate base station, and determine the overlay node set of candidate base station；
2-1, foundation are initially the candidate base station set S of empty seti；Establish candidate sensor set CU；Candidate sensor set CU, Enable candidate sensor set CU equal with ordinary node set U；
2-2, according to the coordinate of each ordinary node in candidate sensor set CU, find out the convex closure of candidate sensor set CU, K is assigned to by 1；
One of vertex of convex closure obtained by 2-3, selecting step 2-2, as i-th of candidate base station ciThe 1st overlay node qi,1, the overlay node set Q of i-th of candidate base station is addediIn；By i-th of candidate base station ciThe 1st overlay node qi,1From It is removed in candidate sensor set CU；I-th of candidate base station ciThe 1st overlay node qi,1Coordinate be (xi,1,yi,1)；With I-th of candidate base station ciThe 1st overlay node qi,1Initial position of the position as i-th of candidate base station；I-th candidate The coordinate of the initial position of base station is (ai,1,bi,1), ai,1=xi,1, bi,1=yi,1；
2-4, take candidate sensor set CU interior and coordinate (ai,k,bi,k) apart from nearest ordinary node, as both candidate nodes；It waits The coordinate for selecting node is (x ', y ')；Both candidate nodes are removed from candidate sensor set CU；
2-5, calculation base station update prediction coordinate (a ', b ')；Wherein, shown in the expression formula of a ' such as formula (1)；The expression formula of b ' such as formula (2) shown in；
In formula (1) and (2), wi,jIndicate i-th of candidate base station ciJ-th of overlay node qi,jCorresponding wireless chargeable sensing The power of device；xi,jFor i-th of candidate base station ciJ-th of overlay node qi,jAbscissa；yi,jFor i-th of candidate base station ci's J-th of overlay node qi,jOrdinate；W ' is the power of the corresponding wireless chargeable sensor of both candidate nodes；The value of β isη is efficiency of transmission when charging base station and wireless chargeable sensor closely；The value of α isGtFor The gain size of the transmitting antenna of charging base station；GrFor the gain size of the receiving antenna of wireless chargeable sensor；λ is charging The wavelength of base station and electromagnetic wave used when wirelessly chargeable sensor is wirelessly transferred；
2-6, i-th of candidate base station c is calculatediThe charging sleep time for charging to both candidate nodesAs shown in formula (3)；
In formula (3), T is the charge cycle of charging base station, shown in expression formula such as formula (4)；ti,jFor i-th of candidate base station ci? The charging duration of j overlay node, shown in expression formula such as formula (5)；T ' is the charging duration of both candidate nodes, expression formula such as formula (6) shown in；
In formula (4), CM is the battery capacity of each wireless chargeable sensor；wmaxFor the power in each wireless chargeable sensor The power of maximum sensor；
In formula (5), PtFor the rated power for base station of charging；P(dij) it is that spacing is equal to dijCharging base station and wireless chargeable biography Charge efficiency between sensor, expression formula aredijFor i-th of candidate base station ciJ-th of covering section Point qijThe distance between coordinate (a ', b ')；
In formula (6), P (d ') is spacing equal to the charge efficiency between the charging base station of d ' and wireless chargeable sensor, table It is up to formulaD ' is the distance of both candidate nodes and coordinate (a ', b ')；
Enter step 2-7；
If 2-7,Then using both candidate nodes as i-th of candidate base station ci+ 1 overlay node q of kthi,k+1It is added i-th The overlay node set Q of candidate base stationi, by i-th of candidate base station ciCoordinate be updated to (ai,k+1,bi,k+1), ai,k+1=a ', bi,k+1=b '；K is increased 1, and enters step 2-8；
IfThen it is directly entered step 2.8；
If 2-8, candidate sensor set CU are empty sets；Then enter step 3；Otherwise, step 2-4 to 2-7 is repeated；
Step 3, the overlay node set Q that i-th of candidate base station will be added in ordinary sensors set UiIn all ordinary node It is removed from ordinary sensors set U；With coordinate (ai,k,bi,k) it is used as i-th of base station deployment position；If ordinary sensors set U is not empty set, then i is increased 1, and repeat step 2；Otherwise, 4 are entered step；
Arrangement charging base station in step 4, each base station deployment position for determining step 2 and 3.
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