CN106951958A - A kind of mixing artificial bee colony algorithm of inverting the earth parameter - Google Patents

A kind of mixing artificial bee colony algorithm of inverting the earth parameter Download PDF

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CN106951958A
CN106951958A CN201710207227.7A CN201710207227A CN106951958A CN 106951958 A CN106951958 A CN 106951958A CN 201710207227 A CN201710207227 A CN 201710207227A CN 106951958 A CN106951958 A CN 106951958A
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search
colony algorithm
bee colony
artificial bee
formula
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王玲
马明
徐柏榆
梅勇
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Electric Power Research Institute of Guangdong Power Grid Co Ltd
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    • G06N3/004—Artificial life, i.e. computing arrangements simulating life
    • G06N3/006—Artificial life, i.e. computing arrangements simulating life based on simulated virtual individual or collective life forms, e.g. social simulations or particle swarm optimisation [PSO]

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Abstract

The embodiment of the invention discloses a kind of mixing artificial bee colony algorithm of inverting the earth parameter, for solve to there is no in the prior art it is a kind of can efficiently, quick obtaining globally optimal solution and can effectively cover earth's surface to up to a hundred kilometers of underground depth ground resistivity measure and inversion method technical problem.The embodiment of the present invention includes：Obtain the object function for carrying out comprehensive inversion to the earth electric resistance of soil parameter by four-electrode method and magnetotelluric method；Globally optimal solution is scanned for the object function by using the artificial bee colony algorithm of embedded conjugate gradient algorithms progress Local Search, and obtains globally optimal solution.

Description

A kind of mixing artificial bee colony algorithm of inverting the earth parameter
Technical field
The present invention relates to the mixing people worker bee of the earth soil resistivity fields of measurement, more particularly to a kind of inverting the earth parameter Group's algorithm.
Background technology
During the debugging of DC transmission system or monopole failure, straight-flow system is connect with greatly returning to the method for operation to direct current Earth polar, which is flowed into, may up to count kA earth current.The continuous action of this earth current is to being grounded the height of operation in power system Piezoelectric forces transformer, long distance oil-gas pipeline, earthquake monitoring stations and networks etc. cause serious adverse effect.In order to study earth current The regularity of distribution in ground, domestic scholars propose a variety of models, such as power network direct current distributed simulation model and the distribution of pipeline direct current The ground electromagnetic field appraising model of model, earthquake monitoring stations and networks, example shows that these methods achieve better application effect.
On the basis of DC current distribution theory model is further improved, accurate rational ground resistivity how is chosen Parameter model is the key for improving the model solution degree of accuracy.In reality, resistivity distribution shows higher complexity, and this causes me The power transformer of ground connection operation faces totally different D.C. magnetic biasing risk in the AC system of state different regions, while D.C. magnetic biasing The improvement of harm also becomes sufficiently complex.And there is no at present one kind can efficiently, quick obtaining globally optimal solution and can be effective Covering earth's surface to up to a hundred kilometers of underground depth ground resistivity measurement and inversion method.
The content of the invention
The embodiments of the invention provide a kind of mixing artificial bee colony algorithm of inverting the earth parameter, solve in the prior art There is no it is a kind of can efficiently, quick obtaining globally optimal solution and can effectively cover earth's surface to the big of up to a hundred kilometers of underground depth Earth resistivity measures the technical problem with inversion method.
A kind of mixing artificial bee colony algorithm of inverting the earth parameter provided in an embodiment of the present invention, including：
Obtain the object function for carrying out comprehensive inversion to the earth electric resistance of soil parameter by four-electrode method and magnetotelluric method；
The artificial bee colony algorithm for carrying out Local Search by using embedded conjugate gradient algorithms is carried out to the object function Globally optimal solution is searched for, and obtains globally optimal solution.
Alternatively, described obtain carries out comprehensive inversion by four-electrode method and magnetotelluric method to the earth electric resistance of soil parameter Object function includes：
Obtained by formula one by four-electrode method and magnetotelluric method to the earth electric resistance of soil parameter progress comprehensive inversion Object function, the formula one is specially：
MinF=ω1F1+ω2F2；
Wherein, F is the object function of comprehensive inversion, F1And F2The respectively inverting target letter of four-electrode method and magnetotelluric method Number, ω1And ω2Respectively F1And F2Weight；
The F1Tried to achieve by formula two, the formula two is specially：
The F2Tried to achieve by formula three, the formula three is specially：
Wherein, m1、di、ρaAnd ρMRespectively the number of four-electrode method measurement data, pole span, the inverting value of apparent resistivity and Apparent resistivity measured value, m2、fiThe respectively number of magnetotelluric method measurement data, characteristic frequency.
Alternatively, the ω1For 1, the ω2For 1.
Alternatively, it is described to carry out the artificial bee colony algorithm of Local Search to the mesh by using embedded conjugate gradient algorithms Scalar functions scan for globally optimal solution, and obtain globally optimal solution and include：
The search of global solution is carried out to the object function by artificial bee colony algorithm, and in the artificial bee colony algorithm Observe embedded conjugate gradient algorithms in the link of honeybee progress Local Search and carry out Local Search.
Alternatively, the search for carrying out global solution to the object function by artificial bee colony algorithm, and in the people Embedded conjugate gradient algorithms progress Local Search is specifically included in the link of the observation honeybee progress Local Search of work ant colony algorithm：
S1, carry out using artificial bee colony algorithm searching the activity of obtaining, and set the number N=100 solved in population；
S2, initial population S is randomly generated, row information of going forward side by side exchange and local selection course, all people's work honeybee retain The greedy selection course in preferable nectar source, search bee searches for the random selection process in new nectar source, and observation honeybee is according to related to nectar source Probable value PiSelect nectar source, the probable value PiTried to achieve by formula four, the formula four is specially：
Wherein, SiIt is that (i=1,2 ..., N) is the vector of a D dimension, D is soil model ginseng for the solution in initial population S Several numbers, F (Si) it is solution SiTarget function value, i=1,2 ..., N.
S3, observation honeybee are according to the probable value PiA position candidate is produced from the position in green molasses source：
Sij1=Sij+φij(Sij-Soj)
Wherein, o is the nectar source numbering different from i, and j is randomly selected subscript (1≤j≤D), φijFor between [0,1] Random number, for controlling the generation of nectar source position in S neighborhoods, position candidate Sij1Represent green molasses source position SijWith in neighborhood with One nectar source S of machineojBetween relativity；
S4, observation the honeybee embedded conjugate gradient algorithms in Local Search link, and take Local Search times NLimit=3, if Nectar source position SiBy limited number of time NLimitAfter the cyclic search of gathering honey honeybee and observation honeybee, it is impossible to be modified, that is, abandon the position Put, and gathering honey honeybee is changed into search bee, and green molasses source is replaced in one nectar source of random search, search bee is by formula five by searching at random Rope determines new nectar source, and the formula five is specially：
Wherein,For in kth generation circulationBound.
As can be seen from the above technical solutions, the embodiment of the present invention has advantages below：
The embodiments of the invention provide a kind of mixing artificial bee colony algorithm of inverting the earth parameter, including：Obtain and pass through four Pole method and magnetotelluric method carry out the object function of comprehensive inversion to the earth electric resistance of soil parameter；By using embedded conjugate gradient The artificial bee colony algorithm that algorithm carries out Local Search scans for globally optimal solution to the object function, and obtains global optimum The mixing artificial bee colony algorithm of embedded Local conjugation gradient algorithm search is by simulating bee colony gathering honey row in solution, the embodiment of the present invention To realize the solution of optimization problem, i.e., nectar source is determined by gathering honey honeybee, and nectar source is plucked and nectar source information is remembered, then with sight Examine honeybee share nectar source information；Observation honeybee makes a choice by certain selection strategy in neighbouring nectar source；It is abandoned at nectar source Gathering honey honeybee is changed into search bee and the new nectar source of random search, wherein, the search of Local conjugation gradient algorithm is embedded in, is substantially increased Local search ability, meets the requirement of search globally optimal solution, and greatly accelerates the solution of soil inversion problem, and formation more has Ground resistivity measurement and inversion method of the covering earth's surface of effect to up to a hundred kilometers of underground depth.
Brief description of the drawings
In order to illustrate more clearly about the embodiment of the present invention or technical scheme of the prior art, below will be to embodiment or existing The accompanying drawing to be used needed for having technology description is briefly described, it should be apparent that, drawings in the following description are only this Some embodiments of invention, for those of ordinary skill in the art, without having to pay creative labor, may be used also To obtain other accompanying drawings according to these accompanying drawings.
Fig. 1 illustrates for a kind of flow of mixing artificial bee colony algorithm of inverting the earth parameter provided in an embodiment of the present invention Figure；
Fig. 2 is specific for the mixing artificial bee colony algorithm of embedded Local conjugation gradient algorithm search provided in an embodiment of the present invention Schematic flow sheet；
Fig. 3 is conjugate gradient method algorithm flow chart provided in an embodiment of the present invention.
Embodiment
The embodiments of the invention provide a kind of mixing artificial bee colony algorithm of inverting the earth parameter, for solving prior art In there is no it is a kind of can efficiently, quick obtaining globally optimal solution and can effectively cover earth's surface to up to a hundred kilometers of underground depth Ground resistivity measures the technical problem with inversion method.
To enable goal of the invention of the invention, feature, advantage more obvious and understandable, below in conjunction with the present invention Accompanying drawing in embodiment, the technical scheme in the embodiment of the present invention is clearly and completely described, it is clear that disclosed below Embodiment be only a part of embodiment of the invention, and not all embodiment.Based on the embodiment in the present invention, this area All other embodiment that those of ordinary skill is obtained under the premise of creative work is not made, belongs to protection of the present invention Scope.
Referring to Fig. 1, a kind of mixing artificial bee colony algorithm of inverting the earth parameter provided in an embodiment of the present invention includes：
101st, the target letter for carrying out comprehensive inversion to the earth electric resistance of soil parameter by four-electrode method and magnetotelluric method is obtained Number；
First, obtained and the earth electric resistance of soil parameter is carried out comprehensively instead by four-electrode method and magnetotelluric method by formula one The object function drilled, the formula one is specially：
MinF=ω1F1+ω2F2；
Wherein, F is the object function of comprehensive inversion, F1And F2The respectively inverting target letter of four-electrode method and magnetotelluric method Number, ω1And ω2Respectively F1And F2Weight, 1 can be taken respectively；
The F1Tried to achieve by formula two, the formula two is specially：
The F2Tried to achieve by formula three, the formula three is specially：
Wherein, m1、di、ρaAnd ρMRespectively the number of four-electrode method measurement data, pole span, the inverting value of apparent resistivity and Apparent resistivity measured value, m2、fiThe respectively number of magnetotelluric method measurement data, characteristic frequency.
102nd, the artificial bee colony algorithm of Local Search is carried out to the object function by using embedded conjugate gradient algorithms Globally optimal solution is scanned for, and obtains globally optimal solution.
Then, the search of global solution is carried out to the object function by artificial bee colony algorithm, and in the artificial bee colony Embedded conjugate gradient algorithms carry out Local Search in the link of the observation honeybee progress Local Search of algorithm, as shown in Fig. 2 being insertion The mixing artificial bee colony algorithm flow chart of Local conjugation gradient algorithm search, it is comprised the following steps that：
S1, carry out using artificial bee colony algorithm searching the activity of obtaining, and set the number N=100 solved in population；
S2, initial population S is randomly generated, row information of going forward side by side exchange and local selection course, all people's work honeybee retain The greedy selection course in preferable nectar source, search bee searches for the random selection process in new nectar source, and observation honeybee is according to related to nectar source Probable value PiSelect nectar source, the probable value PiTried to achieve by formula four, the formula four is specially：
Wherein, SiIt is that (i=1,2 ..., N) is the vector of a D dimension, D is soil model ginseng for the solution in initial population S Several numbers, F (Si) it is solution SiTarget function value, i=1,2 ..., N.
S3, observation honeybee are according to the probable value PiA position candidate is produced from the position in green molasses source：
Sij1=Sij+φij(Sij-Soj)
Wherein, o is the nectar source numbering different from i, and j is randomly selected subscript (1≤j≤D), φijFor between [0,1] Random number, for controlling the generation of nectar source position in S neighborhoods, position candidate Sij1Represent green molasses source position SijWith in neighborhood with One nectar source S of machineojBetween relativity；
S4, observation the honeybee embedded conjugate gradient algorithms in Local Search link, and take Local Search times NLimit=3, if Nectar source position SiBy limited number of time NLimitAfter the cyclic search of gathering honey honeybee and observation honeybee, it is impossible to be modified, that is, abandon the position Put, and gathering honey honeybee is changed into search bee, and green molasses source is replaced in one nectar source of random search, search bee is by formula five by searching at random Rope determines new nectar source, and the formula five is specially：
Wherein,For in kth generation circulationBound, NLimitCan value be 3.As shown in figure 3, being conjugation Gradient method algorithm flow chart.
It is apparent to those skilled in the art that, for convenience and simplicity of description, the system of foregoing description, The specific work process of device and unit, may be referred to the corresponding process in preceding method embodiment, will not be repeated here.
The above, the above embodiments are merely illustrative of the technical solutions of the present invention, rather than its limitations；Although with reference to before Embodiment is stated the present invention is described in detail, it will be understood by those within the art that：It still can be to preceding State the technical scheme described in each embodiment to modify, or equivalent is carried out to which part technical characteristic；And these Modification is replaced, and the essence of appropriate technical solution is departed from the spirit and scope of various embodiments of the present invention technical scheme.

Claims (5)

1. a kind of mixing artificial bee colony algorithm of inverting the earth parameter, it is characterised in that including：
Obtain the object function for carrying out comprehensive inversion to the earth electric resistance of soil parameter by four-electrode method and magnetotelluric method；
The artificial bee colony algorithm for carrying out Local Search by using embedded conjugate gradient algorithms is scanned for the object function Globally optimal solution, and obtain globally optimal solution.
2. the mixing artificial bee colony algorithm of inverting the earth parameter according to claim 1, it is characterised in that the acquisition is led to Cross four-electrode method and magnetotelluric method includes to the object function of the earth electric resistance of soil parameter progress comprehensive inversion：
The target for carrying out comprehensive inversion to the earth electric resistance of soil parameter by four-electrode method and magnetotelluric method is obtained by formula one Function, the formula one is specially：
MinF=ω1F1+ω2F2；
Wherein, F is the object function of comprehensive inversion, F1And F2The respectively inversion objective function of four-electrode method and magnetotelluric method, ω1And ω2Respectively F1And F2Weight；
The F1Tried to achieve by formula two, the formula two is specially：
F 1 = Σ i = 1 m 1 ( ρ a ( d i ) - ρ M ( d i ) m 1 ρ M ( d i ) ) 2 ;
The F2Tried to achieve by formula three, the formula three is specially：
F 2 = Σ i = 1 m 2 ( ρ a ( f i ) - ρ M ( f i ) m 2 ρ M ( f i ) ) 2 ;
Wherein, m1、di、ρaAnd ρMRespectively the number of four-electrode method measurement data, pole span, the inverting value of apparent resistivity and apparent are electric Resistance rate measured value, m2、fiThe respectively number of magnetotelluric method measurement data, characteristic frequency.
3. the mixing artificial bee colony algorithm of inverting the earth parameter according to claim 2, it is characterised in that the ω1For 1, The ω2For 1.
4. the mixing artificial bee colony algorithm of inverting the earth parameter according to claim 2, it is characterised in that described by adopting The artificial bee colony algorithm that Local Search is carried out with embedded conjugate gradient algorithms scans for globally optimal solution to the object function, And obtain globally optimal solution and include：
The search of global solution is carried out to the object function by artificial bee colony algorithm, and in the observation of the artificial bee colony algorithm Embedded conjugate gradient algorithms carry out Local Search in the link of honeybee progress Local Search.
5. the mixing artificial bee colony algorithm of inverting the earth parameter according to claim 4, it is characterised in that described to pass through people Work ant colony algorithm carries out the search of global solution to the object function, and carries out part in the observation honeybee of the artificial bee colony algorithm Embedded conjugate gradient algorithms progress Local Search is specifically included in the link of search：
S1, carry out using artificial bee colony algorithm searching the activity of obtaining, and set the number N=100 solved in population；
S2, initial population S is randomly generated, row information of going forward side by side exchange and local selection course, all people's work honeybee retains preferable The greedy selection course in nectar source, search bee searches for the random selection process in new nectar source, and observation honeybee is according to the probability related to nectar source Value PiSelect nectar source, the probable value PiTried to achieve by formula four, the formula four is specially：
P i = F ( S i ) / Σ j = 1 N F ( S j ) ;
Wherein, SiIt is that (i=1,2 ..., N) is the vector of a D dimension, D is soil model parameter for the solution in initial population S Number, F (Si) is solution SiTarget function value, i=1,2 ..., N.
S3, observation honeybee are according to the probable value PiA position candidate is produced from the position in green molasses source：
Sij1=Sij+φij(Sij-Soj)
Wherein, o is the nectar source numbering different from i, and j is randomly selected subscript (1≤j≤D), φijTo be random between [0,1] Number, for controlling the generation of nectar source position in S neighborhoods, position candidate Sij1Represent green molasses source position SijWith it is random in neighborhood One nectar source SojBetween relativity；
S4, observation the honeybee embedded conjugate gradient algorithms in Local Search link, and take Local Search times NLimit=3, if nectar source Position SiBy limited number of time NLimitAfter the cyclic search of gathering honey honeybee and observation honeybee, it is impossible to be modified, that is, abandon the position, and Gathering honey honeybee is changed into search bee, and green molasses source is replaced in one nectar source of random search, and search bee is true by random search by formula five Determine new nectar source, the formula five is specially：
S i k = S min k + r a n d ( 0 , 1 ) ( S m a x k - S m i n k ) ;
Wherein,For in kth generation circulationBound.
CN201710207227.7A 2017-03-31 2017-03-31 A kind of mixing artificial bee colony algorithm of inverting the earth parameter Pending CN106951958A (en)

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Application publication date: 20170714