CN102722613A - Method for optimizing electronic component parameters in antenna broadband matching network by adopting genetic-simulated annealing combination - Google Patents
Method for optimizing electronic component parameters in antenna broadband matching network by adopting genetic-simulated annealing combination Download PDFInfo
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Abstract
The invention discloses a method for optimizing electronic component parameters in an antenna broadband matching network by adopting the genetic-simulated annealing combination. According to the method, on the basis of a genetic algorithm, secondary optimization is carried out by a simulated annealing algorithm, so that the defect of poor fine tuning capacity of the genetic algorithm is overcome; and meanwhile, an optimum individual obtained by adopting the genetic algorithm to optimize is used as an initial value of a variable to be optimized by the simulated annealing algorithm, so that the independence of the simulated annealing algorithm on the initial value is avoided. Moreover, aiming at the optimization problem of the antenna matching network, the combination method adopts a multi-target parallel selection method for giving consideration to the requirements of two important technical indexes of the antenna standing wave ratio and the conversion efficiency, introduces the self-adaptive adjustment of crossover and mutation operators and is beneficial for improving the calculating speed and efficiency of the algorithm. Meanwhile, an optimal solution retention strategy is introduced so as to prevent the optimum individual from losing.
Description
Technical field
The present invention relates to the parameter optimization method of a kind of antenna broadband matching network in electromagnetism field, more particularly say, be meant that a kind of employing heredity-simulated annealing makes up electronic component Parameter Optimization method in the antenna broadband matching network.
Background technology
In the electronic equipment, because the limiting factor of many aspects such as antenna performance requirement and mounting condition, independent Antenna Design often is difficult to satisfy simultaneously designing requirement broadband, miniaturization under many circumstances in modern times.For the fixed antenna of version, the Design of Broadband matching network is a kind of effective technology means of further improving antenna miniaturization and broadband performance.
At present the method for designing of broadband matching network mainly contains three kinds of analytical method, numerical method and intelligent optimization methods.Analytical method is the basis with single matching network design theory, but that analytical method exists at the aspects such as Analytical Expression of the confirming of gain function optimal form, source and load is obviously not enough, is difficult to satisfy the requirement of actual engineering design.Numerical method is representative with real audio data method and parametric technique method.Numerical method is compared analytical method and is had remarkable advantages, but also exists some intrinsic shortcomings, such as be difficult to obtain globally optimal solution, to twice computation optimization poor reliability in very sensitive, the real audio data method of the selection of initial value etc.Along with the development of global search technology, and genetic algorithm (National Defense Industry Press, publish in June, 1999; " principle of genetic algorithm and application "; Author Zhou Ming, Sun Shudong), simulated annealing (Science Press, in May, 2003, " nonumeric parallel algorithm-simulated annealing "; Author Kang Lishan, Xie Yun, You Shiyong, Luo Zuhua) wait the appearance of some intelligent algorithms, for the design of broadband matching network provides new technological means.Compare with numerical method with analytical method; Intelligent optimization method need not carry out analytic representation to load; But, seek the optimum solution of network element value through optimization technique according to some the discrete impedance values in the load frequency band, aspect practical applications, have more dirigibility and practicality.But intelligent optimization method is not perfection at aspects such as speed of convergence, fine-tuning capability, counting yield, algorithm stabilities yet, and the selection of intelligent optimization method and application need concrete analysis for concrete design problem.
Summary of the invention
The objective of the invention is to propose a kind of employing heredity-simulated annealing makes up electronic component Parameter Optimization method in the antenna broadband matching network; This optimization method adopts heredity-simulated annealing combined method to design the parameter value of each lumped-parameter element in the antenna broadband matching network; Obtain the optimum solution in the genetic algorithm with genetic algorithm; Carry out the secondary optimizing through simulated annealing then; Overcome the shortcoming of genetic algorithm fine-tuning capability difference,, avoided the dependence of simulated annealing initial value simultaneously with the initial value of the optimum solution in the described genetic algorithm as simulated annealing variable to be optimized.In addition; Optimization problem to the antenna broadband matching network; This combined method has adopted multiple goal back-and-forth method arranged side by side; Be used to take into account the requirement of antenna standing wave ratio and two important techniques indexs of conversion efficiency, introduce the self-adaptation of intersection and mutation operator and regulate, help improving the computing velocity and the efficient of genetic algorithm.Introduce the optimum solution retention strategy, avoided the loss of optimum individual.
A kind of employing heredity of the present invention-simulated annealing makes up electronic component Parameter Optimization method in the antenna broadband matching network, and it includes the following step:
Step 1:, obtain variable X to be optimized={ XC based on the initialization of population of genetic algorithm
a, XL
b, XR
d, XT
e;
In step 1, with electric capacity in the broadband matching network equivalent electrical circuit, inductance and resistance adopt based on genetic algorithm population handle, obtain variable X to be optimized={ XC
a, XL
b, XR
d, XT
e;
Said variable X to be optimized={ XC
a, XL
b, XR
d, XT
eMiddle XC
aExpression electric capacity population, a representes the sign of electric capacity in the equivalent electrical circuit, is designated as XC like the first electric capacity population of first capacitor C 1
C1In like manner can get, the second electric capacity population is designated as XC
C2, the 3rd electric capacity population is designated as XC
C3, the 4th electric capacity population is designated as XC
C4, the 5th electric capacity population is designated as XC
C5All electric capacity populations adopt the set form to be expressed as XC in the equivalent electrical circuit
a={ XC
C1, XC
C2, XC
C3, XC
C4, XC
C5;
XL
bExpression inductance population, b representes the sign of inductance in the equivalent electrical circuit, is designated as XL like the first inductance population of first inductance L 1
L1In like manner can get, the second inductance population is designated as XL
L2, the 3rd inductance population is designated as XL
L3, the 4th inductance population is designated as XL
L4, the 5th inductance population is designated as XL
L5All inductance populations adopt the set form to be expressed as XL in the equivalent electrical circuit
b={ XL
L1, XL
L2, XL
L3, XL
L4, XL
L5;
XR
dExpression resistance population, d representes the sign of resistance in the equivalent electrical circuit, is designated as XR like the first resistance population of first resistance R 1
R1In like manner can get, the second resistance population is designated as XR
R2, the 3rd resistance population is designated as XR
R3All resistance populations adopt the set form to be expressed as XR in the equivalent electrical circuit
d={ XR
R1, XR
R2, XR
R3;
XT
eThe indication transformer population, e representes the input/output voltage ratio of transformer in the equivalent electrical circuit;
In step 2, based on the chromosome in the genetic algorithm, to electric capacity population XC
aIn variable-value DC, generate m variate-value at random
0<DC≤800pF;
The variate-value of expression sign a electric capacity population in the 1st chromosome,
The variate-value of expression sign a electric capacity population in the 2nd chromosome ...,
The variate-value of expression sign a electric capacity population in m chromosome also claimed the variate-value of sign a electric capacity population in any chromosome;
Based on the chromosome in the genetic algorithm, to inductance population XL
bIn variable-value DL, generate w variate-value at random
0<DL≤0.1 μ H;
The variate-value of expression sign b inductance population in the 1st chromosome,
The variate-value of expression sign b inductance population in the 2nd chromosome ...,
The variate-value of expression sign b inductance population in w chromosome also claimed the variate-value of sign b inductance population in any chromosome;
Based on the chromosome in the genetic algorithm, to resistance population XR
dIn variable-value DR, generate v variate-value at random
0<DR≤5k Ω;
The variate-value of expression sign d resistance population in the 1st chromosome,
The variate-value of expression sign d resistance population in the 2nd chromosome ...,
The variate-value of expression sign d resistance population in v chromosome also claimed the variate-value of sign d resistance population in any chromosome;
Based on the chromosome in the genetic algorithm, to transformer population XT
eIn variable-value DT, generate n variate-value at random
0.1≤DT≤10;
The variate-value of expression sign e transformer population in the 1st chromosome,
The variate-value of expression sign e transformer population in the 2nd chromosome ...,
The variate-value of expression sign e transformer population in n chromosome also claimed the variate-value of sign e transformer population in any chromosome;
For variable X to be optimized={ XC
a, XL
b, XR
d, XT
eChromosome in genetic algorithm handles and to obtain total population
Step 3:, be that each function divides mating group in the objective function according to back-and-forth method arranged side by side with the multiple-objection optimization function;
In step 3, with total population
In chromosome function M according to target
Target={ f
Target, l
TargetNumber be divided into the first sub-group Q equably
1With the second sub-group Q
2, each sub-group is distributed objective function M
Target={ f
Target, l
TargetIn one be optimized;
Step 4: the optimized amount of obtaining sub-population with cross and variation;
In step 4, to the first sub-group Q
1Carry out cross and variation, keep each, be i.e. the first optimized amount DQ for optimized amount
1To the second sub-group Q
2Carry out cross and variation, keep each, be i.e. the second optimized amount DQ for optimized amount
2Cross and variation is obtained each concrete steps for optimized amount:
Step 401: obtain the first sub-group Q
1In any 2 chromosomes
As working as prochromosome
Be also referred to as current first chromosome
Obtain the second sub-group Q
2In any 2 chromosomes
As working as prochromosome
Be also referred to as current second chromosome
Step 402: two individuals in current first chromosome
are carried out cross processing; Generate first chromosome of new first chromosome
expression intersection back, back second chromosome of
expression intersection; Said cross processing is according to the first adaptability Policy model
Carry out; P
C1Represent the first sub-group Q
1Crossover probability (being also referred to as first crossover probability), f
MinRepresent the first sub-group Q
1Middle optimized individual fitness value, f is expressed as the adaptive value that adapts in two individuals that will intersect, and f=min{f
1, f
2, f
1Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
2Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
AvgRepresent the first sub-group Q
1Average fitness value;
Two individuals in current second chromosome
are carried out cross processing; Generate the 3rd chromosome in new second chromosome
expression intersection back, the 4th chromosome in
expression intersection back; Said cross processing is according to the second adaptability Policy model
Carry out; P
C2Represent the second sub-group Q
2Crossover probability, be also referred to as second crossover probability, l
MaxRepresent the second sub-group Q
2Middle optimized individual fitness value, l is expressed as the adaptive value that adapts in two individuals that will intersect, and l=max{l
1, l
2, l
1Expression chromosome
Corresponding power optimization target l
TargetValue, l
2Expression chromosome
Corresponding power optimization target l
TargetValue, l
AvgRepresent the second sub-group Q
2Average fitness value;
Step 403: compare f
1With f
3And f
2With f
4, if f
1>=f
3And f
2>=f
4The time, use AQ
IntersectReplace AQ
CurrentIf f
1<f
3Or f
2<f
4The time, AQ then
CurrentConstant; f
3First chromosome after expression intersects
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
4Back second chromosome of expression intersection
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
Compare l
1With l
3And l
2With l
4, if l
1≤l
3And l
2≤l
4The time, use BQ
IntersectReplace BQ
CurrentIf l
1>l
3Or l
2>l
4The time, BQ then
CurrentConstant; l
3The 3rd chromosome after expression intersects
Corresponding power optimization target l
TargetValue, l
4Tetrasome after expression intersects
Corresponding power optimization target l
TargetValue;
Step 404: to the processing that makes a variation respectively of two individuals in current first chromosome
; Generate the chromosome after variation first chromosome
expression
makes a variation, the chromosome after
expression
variation; Described variation is handled according to the 3rd adaptability Policy model
Carry out; P
M1Represent the first sub-group Q
1Variation probability (be also referred to as first variation probability), f
MinRepresent the first sub-group Q
1Middle optimized individual fitness value, f
AvgRepresent the first sub-group Q
1Average fitness value, f ' is for needing the individual fitness value of variation, and
f
1Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
2Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
To the processing that makes a variation respectively of two individuals in current second chromosome
; Generate the chromosome after variation second chromosome
expression
makes a variation, the chromosome after
expression
variation; Said variation is handled according to the 4th adaptability Policy model
Carry out; P
M2Represent the second sub-group Q
2The variation probability, be also referred to as second the variation probability, l
MaxRepresent the second sub-group Q
2Middle optimized individual fitness value, l
AvgRepresent the second sub-group Q
2Average fitness value, l ' for to make a variation individual fitness value and
l
1Expression chromosome
Corresponding power optimization target l
TargetValue, l
2Expression chromosome
Corresponding power optimization target l
TargetValue;
Step 405: compare f
1With f
5, if f
1>f
5The time, use
Replace
If f
1≤f
5The time, then
Constant; f
5Expression
Chromosome after the variation
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
Compare f
2With f
6, if f
2>f
6The time, use
Replace
If f
2≤f
6The time, then
Constant; f
6Expression
Chromosome after the variation
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
Compare l
1With l
5, if l
1<l
5The time, use
Replace
If l
1>=l
5The time, then
Constant; l
5Expression
Chromosome after the variation
Corresponding power optimization target l
TargetValue;
Compare l
2With l
6, if l
2<l
6The time, use
Replace
If l
2>=l
6The time, then
Constant; l
6Expression
Chromosome after the variation
Corresponding power optimization target l
TargetValue;
Repeating step 401 is to step 405, up to the first sub-group Q
1With the second sub-group Q
2The whole cross and variation of middle chromosome are accomplished, and obtain current generation first sub-group Q
1Optimum optimized amount, i.e. the first optimized amount DQ
1, the second sub-group Q
2Optimum optimized amount, i.e. the second optimized amount DQ
2
Step 5: according to objective function M
Target={ f
Target, l
TargetThe total population Q of traversal optimization
Always' in all chromosome obtain in the genetic algorithm when the former generation optimum individual;
In step 5, merge the first optimized amount DQ
1With the second optimized amount DQ
2Form new population, promptly optimize total population Q
Always', according to objective function M
Target={ f
Target, l
TargetThe total population Q of traversal optimization
Always' in all chromosome obtain in the genetic algorithm when the former generation optimum individual
And
Compose and give I
Hbest, so that optimum individual of future generation compares with the optimum individual of working as former generation, in both, select more excellent individuality, and compose and give I
Hbest
Judge whether to reach the end condition of genetic algorithm,, then return step 4,, then draw the optimum individual I in the genetic algorithm if satisfy hereditary end condition if do not satisfy hereditary end condition
Hbest, and remain, get into step 6; The end condition of said genetic algorithm is meant whether iteration step number K is 0, if iteration step number K is not 0, then returns step 3, if iteration step number K is 0, then draws the optimum individual I in the genetic algorithm
Hbest, and remain, get into step 6; For with variable X to be optimized={ XC
a, XL
b, XR
d, XT
eExpression-form corresponding, described electronic component parametric optimal solution I
HbestThe set expression-form does
Step 6: to working as former generation optimum individual I
HbestThe assignment of initially annealing obtains initial individual I
InitiallyRight
The assignment of initially annealing, then have simulated annealing initial individuality is
Step 7: to working as former generation optimum individual I
HbestSound out assignment, obtain souning out individual I
Sound out
Initial individuality
to simulated annealing is soundd out assignment, and new exploration value individual
is then arranged
Step 8: according to objective function M
Target={ f
Target, l
Target, initial individual I
InitiallyWith the individual I of exploration
Sound outCarry out simulated annealing optimization, obtain the electronic component Parameter Optimization and separate;
Step 801: calculate and sound out individuality
Corresponding objective function M
Target={ f
Target, l
TargetValue be respectively ff
1And ll
1, ff
1Individual I is soundd out in expression
Sound outCorresponding standing-wave ratio (SWR) optimization aim f
TargetValue, ll
1Individual I is soundd out in expression
Sound outCorresponding power optimization target l
TargetValue;
Step 802: calculate initial individual
Corresponding target function value M
Target={ f
Target, l
TargetValue be respectively ff
2And ll
2, ff
2Represent initial individual I
InitiallyCorresponding standing-wave ratio (SWR) optimization aim f
TargetValue, ll
2Represent initial individual I
InitiallyCorresponding power optimization target l
TargetValue;
Step 803: judge and sound out individual I
Sound outTarget function value M
Target={ f
Target, l
TargetValue ff
1And ll
1Whether be superior to initial individual I
InitiallyCorresponding target function value M
Target={ f
Target, l
TargetValue ff
2And ll
2, if ff
1≤ff
2And ll
1>=ll
2, then get into step 804, otherwise return step 801;
Step 804: calculate and sound out individual I
Sound outWhether satisfy the receiver function relation
If satisfy and then will sound out individual I
Sound outSubstitute initial individual I
Initially, get into step 805; If do not satisfy and then return step 801; P
VSWRThe corresponding probability of acceptance of expression standing-wave ratio (SWR), P
GThe corresponding probability of acceptance of expression conversion gain, T
NowExpression Current Temperatures, r are at the interior random number that generates with the probabilistic of uniformly distributed function of [0,1] scope, i.e. r=RAN (0,1)
Step 805: in annealing algorithm, carry out temperature and reduce, and judge Current Temperatures T with cooling rate a
NowWhether less than by temperature T
End, if T
NowGreater than T
End, then return step 801; If T
NowSmaller or equal to T
End, the initial individual I after then will optimizing
InitiallyElectronic component parameter optimization as after heredity-simulated annealing processing is separated I
Best,
The advantage of electronic component parameter optimization method is in the antenna broadband matching network of the present invention:
1. back-and-forth method arranged side by side
The design of antenna broadband matching network is made every effort to when satisfying the standing-wave ratio (SWR) requirement, makes the conversion power gain of transmission maximum.Therefore, this is a typical two objective optimization problem.On the basis of standard genetic algorithm, introduce multiple goal back-and-forth method arranged side by side, can take into account the requirement of standing-wave ratio (SWR) and two performance index of conversion power gain.The basic thought of back-and-forth method is side by side; Earlier with the whole individualities in total population according to target the number of function be divided into some sub-groups equably; Each sub-group is distributed a function in the objective function; Each function in the objective function is selected computing independently in corresponding sub-group, select the high individuality of some fitness separately and form a new sub-group, and then the sub-group that all these are newly-generated is merged into new population; So constantly carry out " cut apart-and column selection-merging " operate, finally can obtain the optimum solution of optimization problem in the multiple objective function.This method and the conventional linear summation of the fitness function difference of finding the solution multi-objective optimization question are that this its weights of way that all individual mixing are got up do not need artificial selected, but depend on the current generation.
2. evolution criterion
In the computation process of genetic algorithm, according to the concrete condition of individuality, the size of adaptively modifying crossover probability and variation probability helps improving the computing velocity and the efficient of algorithm.Adopt adaptability heredity strategy can make the genetic evolution process have ability of searching optimum preferably, avoid sinking into Local Extremum with bigger probability.
3. optimal result retention strategy
Algorithm among the present invention is preserved all best result that ran in the search procedure, when algorithmic procedure finishes, gained is finally separated and the process optimum that keeps is separated comparison, and got than the superior as end product.In the process of evolving, can keep optimum solution not lost all the time like this.
4. the secondary optimizing of simulated annealing
After adopting genetic algorithm under the situation of calculating the less number of times of less population, iteration, to obtain the optimum solution in the genetic algorithm,, carry out the secondary optimizing with the initial value of this optimum solution as simulated annealing.This helps improving the shortcoming and the precocious phenomenon of genetic algorithm fine-tuning capability difference, and with the Optimization result of the genetic algorithm initial value as simulated annealing, has also avoided the dependence of simulated annealing to initial value.The combination of the two has improved algorithm stability and on the whole to the dependence of initial value.
Description of drawings
Fig. 1 is the structural representation of traditional antenna broadband matching network.
Fig. 2 is the circuit theory diagrams of antenna broadband matching network to be optimized.
Fig. 3 is blending heredity of the present invention-simulated annealing process flow diagram.
Fig. 4 is the circuit theory diagrams of the antenna broadband matching network after optimizing.
Embodiment
To combine accompanying drawing and embodiment that the present invention is done further detailed description below.
In the present invention, the antenna broadband matching network is arranged on (referring to shown in Figure 1) between antenna and the concentric cable, and the antenna broadband matching network constitutes (referring to shown in Figure 2) by inductance, electric capacity, resistance and impedance transformer at least.
In the present invention, antenna is meant can serve the VHF/UHF frequency range, and with airborne conformal small size antenna.Said VHF, Very high frequency.Translation is: very high frequency(VHF).Said VHF is meant that frequency is the radiobeam of 30~3000MHz.Said UHF, Ultra High Frequency.Translation is: superfrequency.Said UHF is meant that frequency is the superfrequency radiobeam of 300~3000MHz.
In the present invention, the antenna broadband matching network is to be made up of 2 rank T shape L-C networks.In addition, introduced the complementary network of forming by impedance transformer and resistance respectively in the front-end and back-end of antenna broadband matching network.T shape L-C network has the effect of filtering and coupling, and complementary network is intended to certain correction is carried out in the impedance of antenna, makes it be easy to coupling.
Referring to shown in Figure 2, the present invention is a kind of airborne small size antenna broadband matching network of realizing impedance transformation characteristic that has, and includes the complementary network that two T shape L-C networks, resistance and transformer T0 form in this broadband matching network equivalent electrical circuit; T-network is made up of series connection L-C network and parallelly connected L-C network;
First T-network by first capacitor C 1 connect with first inductance L 1, second capacitor C 2 connects with the 3rd inductance L 3 with parallel connection of second inductance L 2 and the 3rd capacitor C 3 and constitutes;
Second T-network by the 3rd capacitor C 3 connect with the 3rd inductance L 3, the 4th capacitor C 4 connects with the 5th inductance L 5 with 4 parallel connections of the 4th inductance L and the 5th capacitor C 5 and constitutes; Two T-networks form repeatedly filtering; Resistor network in the complementary network is made up of first resistance R 1, second resistance R 2 and the 3rd resistance R 3, and complementary network is the impedance for the conversion antenna;
The link of antenna is connected with 1 end of transformer T0; The 2 end ground connection of transformer T0; 3 ends of transformer T0 are connected with 1 end (being the input end of cable) of concentric cable after first capacitor C 1, first inductance L 1, the 3rd capacitor C 3, the 3rd inductance L 3, the 5th capacitor C 5, the 5th inductance L 5, first resistance R 1 in order; 4 ends of transformer T0 are connected with 2 ends of concentric cable (being the earth terminal of cable); 2 ends of concentric cable (being the earth terminal of cable) ground connection;
3 ends of transformer T0 insert 4 ends of transformer T0 in order after first capacitor C 1, first inductance L 1, second capacitor C 2;
3 ends of transformer T0 insert 4 ends of transformer T0 in order after first capacitor C 1, first inductance L 1, second inductance L 2;
3 ends of transformer T0 insert 4 ends of transformer T0 in order after first capacitor C 1, first inductance L 1, the 3rd capacitor C 3, the 3rd inductance L 3, the 4th capacitor C 4;
3 ends of transformer T0 insert 4 ends of transformer T0 in order after first capacitor C 1, first inductance L 1, the 3rd capacitor C 3, the 3rd inductance L 3, the 4th inductance L 4;
3 ends of transformer T0 insert 4 ends of transformer T0 in order after first capacitor C 1, first inductance L 1, the 3rd capacitor C 3, the 3rd inductance L 3, the 5th capacitor C 5, the 5th inductance L 5, second resistance R 2;
3 ends of transformer T0 insert 4 ends of transformer T0 in order after first capacitor C 1, first inductance L 1, the 3rd capacitor C 3, the 3rd inductance L 3, the 5th capacitor C 5, the 5th inductance L 5, first resistance R 1, the 3rd resistance R 3.In the present invention, between the secondary of transformer T0 and concentric cable incoming end, use the processing mode of multiple-stage filtering (constituting) that antenna impedance is mated, make the rational in infrastructure of broadband matching network equivalent electrical circuit by two T shape L-C networks.
Said have that transformer and resistor network can carry out conversion to the impedance of antenna and laod network in the airborne small size antenna broadband matching network that can realize impedance transformation characteristic; Two T shape L-C networks play the effect of filtering and coupling, make the resistance value of antenna through transformer, two T shape L-C networks, resistor network after near the characteristic impedance value of coaxial cable, finally reach predetermined coupling.
In the present invention, define the standing-wave ratio (SWR) of each Frequency point in the antenna matching network bandwidth from the angle in antenna matching network work broadband.The 1st Frequency point ω
1Standing-wave ratio (SWR) be designated as VSWR (ω
1), the 2nd Frequency point ω
2Standing-wave ratio (SWR) be designated as VSWR (ω
2), in like manner individual arbitrarily (i) Frequency point ω
iStanding-wave ratio (SWR) be designated as VSWR (ω
i), then the standing-wave ratio (SWR) sum of each Frequency point is designated as VSWR (ω in the bandwidth
With)=VSWR (ω
1)+VSWR (ω
2)+... + VSWR (ω
i).In order to carry out electronic component Parameter Optimization in the antenna matching network; With the standing-wave ratio (SWR) sum of each Frequency point in the bandwidth as standing-wave ratio (SWR) optimization aim
in the present technique field, standing-wave ratio (SWR) optimization aim
the more little then antenna matching network of value performance is good more.ω representes frequency, ω
iI the Frequency point of expression antenna in bandwidth of operation, VSWR (ω
i) the corresponding standing-wave ratio (SWR) of i Frequency point of expression, N representes the Frequency point number of antenna in bandwidth of operation.
In the present invention, the angle maximum from the antenna conversion efficiency defines the antenna matching network bandwidth, and the conversion power gain of the 1st Frequency point in the said antenna matching network bandwidth is designated as G (ω
1), the conversion power gain of the 2nd Frequency point is designated as G (ω
2), in like manner the conversion power gain of (i) Frequency point is designated as G (ω arbitrarily
i), then the conversion power gain sum of each Frequency point is designated as G (ω in the bandwidth
With)=G (ω
1)+G (ω
2)+... + G (ω
i).In order to carry out electronic component Parameter Optimization in the antenna matching network; With the conversion power gain sum of each Frequency point in the bandwidth as power optimization target
order
in the present technique field, more greatly then the antenna matching network performance is good more for power optimization target
value.ω
iI the Frequency point of expression antenna in bandwidth of operation, G (ω
i) the corresponding conversion power gain of i Frequency point of expression, P
Out(ω
i) represent from the average power of matching network supply coaxial cable, P
In(ω
i) represent from the maximum average power of antenna acquisition.
In the present invention, in order to realize best antenna matching network performance, with the standing-wave ratio (SWR) optimization aim
With the power optimization target
As the objective function that genetic algorithm combines with simulated annealing, it is M that described objective function adopts the mathematical set expression-form
Target={ f
Target, l
Target.
Choose for the parameter value to each electronic component in the antenna broadband matching network equivalent electrical circuit carries out optimum value, the inventive method operates on the computing machine that Matlab (Matlab 2008 versions or Matlab 2010 versions) simulation software is installed.Said computing machine is a kind ofly can carry out the modernized intelligent electronic device of massive values computation and various information processings automatically, at high speed according to prior program stored.Minimalist configuration is CPU 2GHz, internal memory 2GB, hard disk 180GB; Operating system is windows 2000/2003/XP.The optimization method that the present invention has adopted genetic algorithm to combine with simulated annealing, the electronic component optimizing parameter values coupling in the concrete antenna broadband matching network includes the following step:
Step 1:, obtain variable X to be optimized={ XC based on the initialization of population of genetic algorithm
a, XL
b, XR
d, XT
e;
In step 1, with electric capacity in the broadband matching network equivalent electrical circuit, inductance and resistance adopt based on genetic algorithm population handle, obtain variable X to be optimized={ XC
a, XL
b, XR
d, XT
e.In the present invention, adopt based on genetic algorithm population to handle be for electronic component in the equivalent circuit carries out digitized definition, conveniently to carry out each Parameter Optimization setting in the genetic algorithm.Broadband matching network equivalent electric routing capacitance, inductance, transformer and resistance form equivalent circuit structure, and equivalent circuit structure is in order to satisfy the request for utilization with airborne conformal antenna preferably.
Said variable X to be optimized={ XC
a, XL
b, XR
d, XT
eMiddle XC
aExpression electric capacity population, a representes the sign of electric capacity in the equivalent electrical circuit, is designated as XC like the first electric capacity population of first capacitor C 1
C1In like manner can get, the second electric capacity population is designated as XC
C2, the 3rd electric capacity population is designated as XC
C3, the 4th electric capacity population is designated as XC
C4, the 5th electric capacity population is designated as XC
C5All electric capacity populations adopt the set form to be expressed as XC in the equivalent electrical circuit
a={ XC
C1, XC
C2, XC
C3, XC
C4, XC
C5;
XL
bExpression inductance population, b representes the sign of inductance in the equivalent electrical circuit, is designated as XL like the first inductance population of first inductance L 1
L1In like manner can get, the second inductance population is designated as XL
L2, the 3rd inductance population is designated as XL
L3, the 4th inductance population is designated as XL
L4, the 5th inductance population is designated as XL
L5All inductance populations adopt the set form to be expressed as XL in the equivalent electrical circuit
b={ XL
L1, XL
L2, XL
L3, XL
L4, XL
L5;
XR
dExpression resistance population, d representes the sign of resistance in the equivalent electrical circuit, is designated as XR like the first resistance population of first resistance R 1
R1In like manner can get, the second resistance population is designated as XR
R2, the 3rd resistance population is designated as XR
R3All resistance populations adopt the set form to be expressed as XR in the equivalent electrical circuit
d={ XR
R1, XR
R2, XR
R3;
XT
eThe indication transformer population, e representes the input/output voltage ratio of transformer in the equivalent electrical circuit.And the input/output voltage of the transformer T0 that adopts in the invention is than being DT: 1.
In the present invention, variable X to be optimized={ XC
a, XL
b, XR
d, XT
eAlso can launch to be expressed as
In step 2, based on the chromosome in the genetic algorithm, to electric capacity population XC
aIn variable-value DC, generate m variate-value at random
0<DC≤800pF.The variate-value of
expression sign a electric capacity population in the 1st chromosome; The variate-value of
expression sign a electric capacity population in the 2nd chromosome; The variate-value of
expression sign a electric capacity population in m chromosome also claimed the variate-value of sign a electric capacity population in any chromosome.
Based on the chromosome in the genetic algorithm, to inductance population XL
bIn variable-value DL, generate w variate-value at random
0<DL≤0.1 μ H.The variate-value of
expression sign b inductance population in the 1st chromosome; The variate-value of
expression sign b inductance population in the 2nd chromosome; The variate-value of
expression sign b inductance population in w chromosome also claimed the variate-value of sign b inductance population in any chromosome.
Based on the chromosome in the genetic algorithm, to resistance population XR
dIn variable-value DR, generate v variate-value at random
0<DR≤5k Ω.The variate-value of
expression sign d resistance population in the 1st chromosome; The variate-value of
expression sign d resistance population in the 2nd chromosome; The variate-value of
expression sign d resistance population in v chromosome also claimed the variate-value of sign d resistance population in any chromosome.
Based on the chromosome in the genetic algorithm, to transformer population XT
eIn variable-value DT, generate n variate-value at random
0.1≤DT≤10.The variate-value of
expression sign e transformer population in the 1st chromosome; The variate-value of
expression sign e transformer population in the 2nd chromosome; The variate-value of
expression sign e transformer population in n chromosome also claimed the variate-value of sign e transformer population in any chromosome.
In the present invention, the value of chromosomal variable m, w, v and n is 200.All numerical value in the set of variables are encoded respectively, and set of variables is converted into chromosome, and a coding is called the body one by one in the chromosome.For variable X to be optimized={ XC
a, XL
b, XR
d, XT
eChromosome in genetic algorithm handles and to obtain total population
Step 3:, be that each function divides mating group in the objective function according to back-and-forth method arranged side by side with the multiple-objection optimization function;
In step 3, with total population
In whole individualities (chromosome) function M according to target
Target={ f
Target, l
TargetNumber be divided into two sub-Q of colony equably
1And Q
2(sub-group Q
1Be also referred to as first sub-group, sub-group Q
2Be also referred to as second sub-group), each sub-group is distributed objective function M
Target={ f
Target, l
TargetIn one be optimized.In the present invention, if the first sub-group Q
1Adopted objective function M
Target={ f
Target, l
TargetIn antenna standing wave ratio f
TargetBe optimized, then the second sub-group Q
2Should adopt objective function M
Target={ f
Target, l
TargetIn conversion power gain l
TargetBe optimized; Otherwise, if the second sub-group Q
2Adopted objective function M
Target={ f
Target, l
TargetIn antenna standing wave ratio f
TargetMark is optimized, then the first sub-group Q
1Should adopt objective function M
Target={ f
Target, l
TargetIn conversion power gain l
TargetBe optimized.
Step 4: the optimized amount of obtaining sub-population with cross and variation;
In step 4, to the first sub-group Q
1Carry out cross and variation, keep each for optimized amount DQ
1(be also referred to as the first optimized amount DQ
1); To the second sub-group Q
2Carry out cross and variation, keep each for optimized amount DQ
2(be also referred to as the second optimized amount DQ
2); Cross and variation is obtained each concrete steps for optimized amount:
Step 401: obtain the first sub-group Q
1In any 2 chromosomes
As working as prochromosome
Be also referred to as current first chromosome
Obtain the second sub-group Q
2In any 2 chromosomes
As working as prochromosome
Be also referred to as current second chromosome
Step 402: two individuals in current first chromosome
are carried out cross processing; Generate first chromosome of new first chromosome
expression intersection back, back second chromosome of
expression intersection; Said cross processing is according to the first adaptability Policy model
Carry out; P
C1Represent the first sub-group Q
1Crossover probability (being also referred to as first crossover probability), f
MinRepresent the first sub-group Q
1Middle optimized individual fitness value, f is expressed as the adaptive value that adapts in two individuals that will intersect, and f=min{f
1, f
2, f
1Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
2Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
AvgRepresent the first sub-group Q
1Average fitness value;
Two individuals in current second chromosome
are carried out cross processing; Generate the 3rd chromosome in new second chromosome
expression intersection back, the 4th chromosome in
expression intersection back; Said cross processing is according to the second adaptability Policy model
Carry out; P
C2Represent the second sub-group Q
2Crossover probability, be also referred to as second crossover probability, l
MaxRepresent the second sub-group Q
2Middle optimized individual fitness value, l is expressed as the adaptive value that adapts in two individuals that will intersect, and l=max{l
1, l
2, l
1Expression chromosome
Corresponding power optimization target l
TargetValue, l
2Expression chromosome
Corresponding power optimization target l
TargetValue, l
AvgRepresent the second sub-group Q
2Average fitness value;
Step 403: compare f
1With f
3And f
2With f
4, if f
1>=f
3And f
2>=f
4The time, use AQ
IntersectReplace AQ
CurrentIf f
1<f
3Or f
2<f
4The time, AQ then
CurrentConstant; f
3First chromosome after expression intersects
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
4Back second chromosome of expression intersection
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
Compare l
1With l
3And l
2With l
4, if l
1≤l
3And l
2≤l
4The time, use BQ
IntersectReplace BQ
CurrentIf l
1>l
3Or l
2>l
4The time, BQ then
CurrentConstant; l
3The 3rd chromosome after expression intersects
Corresponding power optimization target l
TargetValue, l
4Tetrasome after expression intersects
Corresponding power optimization target l
TargetValue;
Step 404: to the processing that makes a variation respectively of two individuals in current first chromosome
; Generate the chromosome after variation first chromosome
expression
makes a variation, the chromosome after
expression
variation; Described variation is handled according to the 3rd adaptability Policy model
Carry out; P
M1Represent the first sub-group Q
1Variation probability (be also referred to as first variation probability), f
MinRepresent the first sub-group Q
1Middle optimized individual fitness value, f
AvgRepresent the first sub-group Q
1Average fitness value, f ' is for needing the individual fitness value of variation, and
f
1Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
2Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
To the processing that makes a variation respectively of two individuals in current second chromosome
; Generate the chromosome after variation second chromosome
expression
makes a variation, the chromosome after
expression
variation; Said variation is handled according to the 4th adaptability Policy model
Carry out; P
M2Represent the second sub-group Q
2The variation probability, be also referred to as second the variation probability, l
MaxRepresent the second sub-group Q
2Middle optimized individual fitness value, l
AvgRepresent the second sub-group Q
2Average fitness value, l ' for to make a variation individual fitness value and
l
1Expression chromosome
Corresponding power optimization target l
TargetValue, l
2Expression chromosome
Corresponding power optimization target l
TargetValue;
Step 405: compare f
1With f
5, if f
1>f
5The time, use
Replace
If f
1≤f
5The time, then
Constant; f
5Expression
Chromosome after the variation
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
Compare f
2With f
6, if f
2>f
6The time, use
Replace
If f
2≤f
6The time, then
Constant; f
6Expression
Chromosome after the variation
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
Compare l
1With l
5, if l
1<l
5The time, use
Replace
If l
1>=l
5The time, then
Constant; l
5Expression
Chromosome after the variation
Corresponding power optimization target l
TargetValue;
Compare l
2With l
6, if l
2<l
6The time, use
Replace
If l
2>=l
6The time, then
Constant; l
6Expression
Chromosome after the variation
Corresponding power optimization target l
TargetValue;
Repeating step 401 is to step 405, up to the first sub-group Q
1With the second sub-group Q
2The whole cross and variation of middle chromosome are accomplished, and obtain current generation first sub-group Q
1Optimum optimized amount, i.e. the first optimized amount DQ
1, the second sub-group Q
2Optimum optimized amount, i.e. the second optimized amount DQ
2
Step 5: according to objective function M
Target={ f
Target, l
TargetThe total population Q of traversal optimization
Always' in all chromosome obtain in the genetic algorithm when the former generation optimum individual;
In step 5, merge the first optimized amount DQ
1With the second optimized amount DQ
2Form new population, promptly optimize total population Q
Always', according to objective function M
Target={ f
Target, l
TargetThe total population Q of traversal optimization
Always' in all chromosome obtain in the genetic algorithm when the former generation optimum individual
And
Compose and give I
Hbest, so that optimum individual of future generation compares with the optimum individual of working as former generation, in both, select more excellent individuality, and compose and give I
Hbest
Judge whether to reach the end condition of genetic algorithm,, then return step 4,, then draw the optimum individual I in the genetic algorithm if satisfy hereditary end condition if do not satisfy hereditary end condition
Hbest, and remain, get into step 6; The end condition of said genetic algorithm is meant whether iteration step number K is 0, if iteration step number K is not 0, then returns step 3, if iteration step number K is 0, then draws the optimum individual I in the genetic algorithm
Hbest, and remain, get into step 6; For with variable X to be optimized={ XC
a, XL
b, XR
d, XT
eExpression-form corresponding, described electronic component parametric optimal solution I
HbestThe set expression-form does
Represent the first electric capacity population XC
C1Optimum capacitance value after genetic algorithm;
Represent the second electric capacity population XC
C2Optimum capacitance value after genetic algorithm;
Represent the 3rd electric capacity population XC
C3Optimum capacitance value after genetic algorithm;
Represent the 4th electric capacity population XC
C4Optimum capacitance value after genetic algorithm;
Represent the 5th electric capacity population XC
C5Optimum capacitance value after genetic algorithm;
Represent the first resistance population XR
R1Optimum electric class value after genetic algorithm;
Represent the second resistance population XR
R2Optimum electric class value after genetic algorithm;
Indication transformer population XT
eThe input/output voltage ratio of the optimum transformer after genetic algorithm.
Step 6: to working as former generation optimum individual I
HbestThe assignment of initially annealing obtains initial individual I
Initially
In the present invention, right
The assignment of initially annealing, then have simulated annealing initial individuality is
Represent the first electric capacity population XC
C1The initial value that in simulated annealing, is provided with, and
Represent the second electric capacity population XC
C2The initial value that in simulated annealing, is provided with, and
Represent the 3rd electric capacity population XC
C3The initial value that in simulated annealing, is provided with, and
Represent the 4th electric capacity population XC
C4The initial value that in simulated annealing, is provided with, and
Represent the 5th electric capacity population XC
C5The initial value that in simulated annealing, is provided with, and
Represent the first inductance population XL
L1The initial value that in simulated annealing, is provided with, and
Represent the second inductance population XL
L2The initial value that in simulated annealing, is provided with, and
Represent the 3rd inductance population XL
L3The initial value that in simulated annealing, is provided with, and
Represent the 4th inductance population XL
L4The initial value that in simulated annealing, is provided with, and
Represent the 5th inductance population XL
L5The initial value that in simulated annealing, is provided with, and
Represent the first resistance population XR
R1The initial value that in simulated annealing, is provided with, and
Represent the second resistance population XR
R2The initial value that in simulated annealing, is provided with, and
Represent the 3rd resistance population XR
R3The initial value that in simulated annealing, is provided with, and
Indication transformer population XT
eThe initial value that in simulated annealing, is provided with, and
Step 7: to working as former generation optimum individual I
HbestSound out assignment, obtain souning out individual I
Sound out
In the present invention; Initial individuality
to simulated annealing is soundd out assignment, and new exploration value individual
is then arranged
Be the first electric capacity population XC
C1In the variable-value scope is Δ x
C1In generate at random,
Be the second electric capacity population XC
C2In the variable-value scope is Δ x
C2In generate at random,
Be the 3rd electric capacity population XC
C3In the variable-value scope is Δ x
C3In generate at random,
Be the 4th electric capacity population XC
C4In the variable-value scope is Δ x
C4In generate at random,
Be the 5th electric capacity population XC
C5In the variable-value scope is Δ x
C5In generate at random,
Be the second inductance population XL
L2In the variable-value scope is Δ x
L2In generate at random,
Be the second resistance population XR
R2In the variable-value scope is Δ x
R2In generate at random,
Step 8: according to objective function M
Target={ f
Target, l
Target, initial individual I
InitiallyWith the individual I of exploration
Sound outCarry out simulated annealing optimization, obtain the electronic component Parameter Optimization and separate;
Step 801: calculate and sound out individuality
Corresponding objective function M
Target={ f
Target, l
TargetValue be respectively ff
1And ll
1, ff
1Individual I is soundd out in expression
Sound outCorresponding standing-wave ratio (SWR) optimization aim f
TargetValue, ll
1Individual I is soundd out in expression
Sound outCorresponding power optimization target l
TargetValue;
Step 802: calculate initial individual
Corresponding target function value M
Target={ f
Target, l
TargetValue be respectively ff
2And ll
2, ff
2Represent initial individual I
InitiallyCorresponding standing-wave ratio (SWR) optimization aim f
TargetValue, ll
2Represent initial individual I
InitiallyCorresponding power optimization target l
TargetValue;
Step 803: judge and sound out individual I
Sound outTarget function value M
Target={ f
Target, l
TargetValue ff
1And ll
1Whether be superior to initial individual I
InitiallyCorresponding target function value M
Target={ f
Target, l
TargetValue ff
2And ll
2, if ff
1≤ff
2And ll
1>=ll
2, then get into step 804, otherwise return step 801;
Step 804: calculate and sound out individual I
Sound outWhether satisfy the receiver function relation
If satisfy and then will sound out individual I
Sound outSubstitute initial individual I
Initially, get into step 805; If do not satisfy and then return step 801; P
VSWRThe corresponding probability of acceptance of expression standing-wave ratio (SWR), P
GThe corresponding probability of acceptance of expression conversion gain, T
NowExpression Current Temperatures, r are at the interior random number that generates with the probabilistic of uniformly distributed function of [0,1] scope, i.e. r=RAN (0,1)
Step 805: in annealing algorithm, carry out temperature and reduce, and judge Current Temperatures T with cooling rate a
NowWhether less than by temperature T
End, if T
NowGreater than T
End, then return step 801; If T
NowSmaller or equal to T
End, the initial individual I after then will optimizing
InitiallyElectronic component parameter optimization as after heredity-simulated annealing processing is separated I
Best,
The realization of genetic algorithm and simulated annealing all needs a plurality of controlled variable of choose reasonable.Controlled variable of the present invention is selected as follows:
The genetic algorithm part: iteration step number K is 250.
Simulated annealing part: initial temperature T
0Be 0.05 degree, by temperature T
EndBe 0.00001 degree, cooling rate a is 0.9.
Adopt matlab software that electronic component in the matching network (as shown in Figure 2) parameter is carried out heredity-simulated annealing combinational algorithm simulation process, each parameters optimization that obtains is as shown in table 1.
The matching network component value that table 1 heredity-optimization of simulated annealing combinational algorithm obtains
Element | Component value | Element | Component value |
T0(DT:1) | 0.88 | R1 | 7.2Ω |
R2 | 955Ω | R3 | 900Ω |
C1 | 23pF | L1 | 1.8pH |
C2 | 9pF | L2 | 18nH |
C3 | 7.8pF | L3 | 10nH |
C4 | 0pF | L4 | 25nH |
C5 | 15pF | L5 | 1.1pH |
Because it is very little to optimize the component value of L1, C4, L5 in the matching network that obtains, its contribution to matching network is little, can this part element be removed.The structural representation of the antenna broadband matching network after the simplification is as shown in Figure 4.In Fig. 4, the link of antenna is connected with 1 end of transformer T0 in this broadband matching network equivalent electrical circuit; The 2 end ground connection of transformer T0; 1 end of concentric cable is connected with an end of first resistance R 1, and 2 end ground connection of concentric cable are parallel with the 3rd resistance R 3 between 1 end of concentric cable and 2 ends;
3 ends of transformer T0 insert 4 ends of transformer T0 after first capacitor C 1, second capacitor C 2;
3 ends of transformer T0 insert 4 ends of transformer T0 after first capacitor C 1, second inductance L 2;
3 ends of transformer T0 insert 4 ends of transformer T0 after first capacitor C 1, the 3rd capacitor C 3, the 3rd inductance L 3, the 4th inductance L 4;
3 ends of transformer T0 insert 4 ends of transformer T0 after first capacitor C 1, the 3rd capacitor C 3, the 3rd inductance L 3, the 5th capacitor C 5, second resistance R 2;
3 ends of transformer T0 insert 4 ends of transformer T0 after first capacitor C 1, the 3rd capacitor C 3, the 3rd inductance L 3, the 5th capacitor C 5, first resistance R 1, the 3rd resistance R 3.
In the present invention, between the secondary of transformer T0 and concentric cable incoming end, use the processing mode of multiple-stage filtering (constituting) that antenna impedance is mated, make the rational in infrastructure of broadband matching network equivalent electrical circuit by two T shape L-C networks.
Claims (6)
1. one kind is adopted heredity-simulated annealing to make up electronic component Parameter Optimization method in the antenna broadband matching network, it is characterized in that including the following step:
Step 1:, obtain variable X to be optimized={ XC based on the initialization of population of genetic algorithm
a, XL
b, XR
d, XT
e;
In step 1, with electric capacity in the broadband matching network equivalent electrical circuit, inductance and resistance adopt based on genetic algorithm population handle, obtain variable X to be optimized={ XC
a, XL
b, XR
d, XT
e;
Said variable X to be optimized={ XC
a, XL
b, XR
d, XT
eMiddle XC
aExpression electric capacity population, a representes the sign of electric capacity in the equivalent electrical circuit, is designated as XC like the first electric capacity population of first capacitor C 1
C1In like manner can get, the second electric capacity population is designated as XC
C2, the 3rd electric capacity population is designated as XC
C3, the 4th electric capacity population is designated as XC
C4, the 5th electric capacity population is designated as XCC
C5All electric capacity populations adopt the set form to be expressed as XC in the equivalent electrical circuit
a={ XC
C1, XC
C2, XC
C3, XC
C4, XC
C5;
XL
bExpression inductance population, b representes the sign of inductance in the equivalent electrical circuit, is designated as XL like the first inductance population of first inductance L 1
L1In like manner can get, the second inductance population is designated as XL
L2, the 3rd inductance population is designated as XL
L3, the 4th inductance population is designated as XL
L4, the 5th inductance population is designated as XL
L5All inductance populations adopt the set form to be expressed as XL in the equivalent electrical circuit
b={ XL
L1, XL
L2, XL
L3, XL
L4, XL
L5;
XR
dExpression resistance population, d representes the sign of resistance in the equivalent electrical circuit, is designated as XR like the first resistance population of first resistance R 1
R1In like manner can get, the second resistance population is designated as XR
R2, the 3rd resistance population is designated as XR
R3All resistance populations adopt the set form to be expressed as XR in the equivalent electrical circuit
d={ XR
R1, XR
R2, XR
R3;
XT
eThe indication transformer population, e representes the input/output voltage ratio of transformer in the equivalent electrical circuit;
In step 2, based on the chromosome in the genetic algorithm, to electric capacity population XC
aIn variable-value DC, generate m variate-value at random
0<DC≤800pF; The variate-value of
expression sign a electric capacity population in the 1st chromosome; The variate-value of
expression sign a electric capacity population in the 2nd chromosome; The variate-value of
expression sign a electric capacity population in m chromosome also claimed the variate-value of sign a electric capacity population in any chromosome;
Based on the chromosome in the genetic algorithm, to inductance population XL
bIn variable-value DL, generate w variate-value at random
0<DL≤0.1 μ H;
The variate-value of expression sign b inductance population in the 1st chromosome,
The variate-value of expression sign b inductance population in the 2nd chromosome ...,
The variate-value of expression sign b inductance population in w chromosome also claimed the variate-value of sign b inductance population in any chromosome;
Based on the chromosome in the genetic algorithm, to resistance population XR
dIn variable-value DR, generate v variate-value at random
0<DR≤5k Ω;
The variate-value of expression sign d resistance population in the 1st chromosome,
The variate-value of expression sign d resistance population in the 2nd chromosome ...,
The variate-value of expression sign d resistance population in v chromosome also claimed the variate-value of sign d resistance population in any chromosome;
Based on the chromosome in the genetic algorithm, to transformer population XT
eIn variable-value DT, generate n variate-value at random
0.1≤DT≤10;
The variate-value of expression sign e transformer population in the 1st chromosome,
The variate-value of expression sign e transformer population in the 2nd chromosome ...,
The variate-value of expression sign e transformer population in n chromosome also claimed the variate-value of sign e transformer population in any chromosome;
For variable X to be optimized={ XC
a, XL
b, XR
d, XT
eChromosome in genetic algorithm handles and to obtain total population
Step 3:, be that each function divides mating group in the objective function according to back-and-forth method arranged side by side with the multiple-objection optimization function;
In step 3, with total population
In chromosome function M according to target
Target={ f
Target, l
TargetNumber be divided into the first sub-group Q equably
1With the second sub-group Q
2, each sub-group is distributed objective function M
Target={ f
Target, l
TargetIn one be optimized;
Step 4: the optimized amount of obtaining sub-population with cross and variation;
In step 4, to the first sub-group Q
1Carry out cross and variation, keep each, be i.e. the first optimized amount DQ for optimized amount
1To the second sub-group Q
2Carry out cross and variation, keep each, be i.e. the second optimized amount DQ for optimized amount
2Cross and variation is obtained each concrete steps for optimized amount:
Step 401: obtain the first sub-group Q
1In any 2 chromosomes
As working as prochromosome
Be also referred to as current first chromosome
Obtain the second sub-group Q
2In any 2 chromosomes
As working as prochromosome
Be also referred to as current second chromosome
Step 402: two individuals in current first chromosome
are carried out cross processing; Generate first chromosome of new first chromosome
expression intersection back, back second chromosome of
expression intersection; Said cross processing is according to the first adaptability Policy model
Carry out; P
C1Represent the first sub-group Q
1Crossover probability (being also referred to as first crossover probability), f
MinRepresent the first sub-group Q
1Middle optimized individual fitness value, f is expressed as the adaptive value that adapts in two individuals that will intersect, and f=min{f
1, f
2, f
1Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
2Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
AvgRepresent the first sub-group Q
1Average fitness value;
Two individuals in current second chromosome
are carried out cross processing; Generate the 3rd chromosome in new second chromosome
expression intersection back, the 4th chromosome in
expression intersection back; Said cross processing is according to the second adaptability Policy model
Carry out; P
C2Represent the second sub-group Q
2Crossover probability, be also referred to as second crossover probability, l
MaxRepresent the second sub-group Q
2Middle optimized individual fitness value, l is expressed as the adaptive value that adapts in two individuals that will intersect, and l=max{l
1, l
2, l
1Expression chromosome
Corresponding power optimization target l
TargetValue, l
2Expression chromosome
Corresponding power optimization target l
TargetValue, l
AvgRepresent the second sub-group Q
2Average fitness value;
Step 403: compare f
1With f
3And f
2With f
4, if f
1>=f
3And f
2>=f
4The time, use AQ
IntersectReplace AQ
CurrentIf f
1<f
3Or f
2<f
4The time, AQ then
CurrentConstant; f
3First chromosome after expression intersects
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
4Back second chromosome of expression intersection
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
Compare l
1With l
3And l
2With l
4, if l
1≤l
3And l
2≤l
4The time, use BQ
IntersectReplace BQ
CurrentIf l
1>l
3Or l
2>l
4The time, BQ then
CurrentConstant; l
3The 3rd chromosome after expression intersects
Corresponding power optimization target l
TargetValue, l
4Tetrasome after expression intersects
Corresponding power optimization target l
TargetValue;
Step 404: to current first chromosome
In the processing that makes a variation respectively of two individuals, generate variation first chromosome
Expression
Chromosome after the variation,
Expression
Chromosome after the variation; Described variation is handled according to the 3rd adaptability Policy model
Carry out; P
M1Represent the first sub-group Q
1Variation probability (be also referred to as first variation probability), f
MinRepresent optimized individual fitness value among the first sub-group Q1, f
AvgRepresent the first sub-group Q
1Average fitness value, f ' is for needing the individual fitness value of variation, and
f
1Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue, f
2Expression chromosome
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
To the processing that makes a variation respectively of two individuals in current second chromosome
; Generate the chromosome after variation second chromosome
expression
makes a variation, the chromosome after
expression
variation; Said variation is handled according to the 4th adaptability Policy model
Carry out; P
M2Represent the second sub-group Q
2The variation probability, be also referred to as second the variation probability, l
MaxRepresent the second sub-group Q
2Middle optimized individual fitness value, l
AvgRepresent the second sub-group Q
2Average fitness value, l ' for to make a variation individual fitness value and
l
1Expression chromosome
Corresponding power optimization target l
TargetValue, l
2Expression chromosome
Corresponding power optimization target l
TargetValue;
Step 405: compare f
1With f
5, if f
1>f
5The time, use
Replace
If f
1≤f
5The time, then
Constant; f
5Expression
Chromosome after the variation
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
Compare f
2With f
6, if f
2>f
6The time, use
Replace
If f
2≤f
6The time, then
Constant; f
6Expression
Chromosome after the variation
Corresponding standing-wave ratio (SWR) optimization aim f
TargetValue;
Compare l
1With l
5, if l
1<l
5The time, use
Replace
If l
1>=l
5The time, then
Constant; l
5Expression
Chromosome after the variation
Corresponding power optimization target l
TargetValue;
Compare l
2With l
6, if l
2<l
6The time, use
Replace
If l
2>=l
6The time, then
Constant; l
6Expression
Chromosome after the variation
Corresponding power optimization target l
TargetValue;
Repeating step 401 is to step 405, up to the first sub-group Q
1With the second sub-group Q
2The whole cross and variation of middle chromosome are accomplished, and obtain current generation first sub-group Q
1Optimum optimized amount, i.e. the first optimized amount DQ
1, the second sub-group Q
2Optimum optimized amount, i.e. the second optimized amount DQ
2
Step 5: according to objective function M
Target={ f
Target, l
TargetThe total population Q of traversal optimization
Always' in all chromosome obtain in the genetic algorithm when the former generation optimum individual;
In step 5, merge the first optimized amount DQ
1With the second optimized amount DQ
2Form new population, promptly optimize total population Q
Always', according to objective function M
Target={ f
Target, l
TargetThe total population Q of traversal optimization
Always' in all chromosome obtain in the genetic algorithm when the former generation optimum individual
And
Compose and give I
Hbest, so that optimum individual of future generation compares with the optimum individual of working as former generation, in both, select more excellent individuality, and compose and give I
Hbest
Judge whether to reach the end condition of genetic algorithm,, then return step 4,, then draw the optimum individual I in the genetic algorithm if satisfy hereditary end condition if do not satisfy hereditary end condition
Hbest, and remain, get into step 6; The end condition of said genetic algorithm is meant whether iteration step number K is O, if iteration step number K is not 0, then returns step 3, if iteration step number K is O, then draws the optimum individual I in the genetic algorithm
Hbest, and remain, get into step 6; For with variable X to be optimized={ XC
a, XL
b, XR
d, XT
eExpression-form corresponding, described electronic component parametric optimal solution I
HbestThe set expression-form does
Wherein,
Represent the first electric capacity population XC
C1Optimum capacitance value after genetic algorithm;
Represent the second electric capacity population XC
C2Optimum capacitance value after genetic algorithm;
Represent the 3rd electric capacity population XC
C3Optimum capacitance value after genetic algorithm;
Represent the 4th electric capacity population XC
C4Optimum capacitance value after genetic algorithm;
Represent the 5th electric capacity population XC
C5Optimum capacitance value after genetic algorithm;
Represent the first inductance population XL
L1Optimum inductance value after genetic algorithm;
Represent the second inductance population XL
L2Optimum inductance value after genetic algorithm;
Represent the 3rd inductance population XL
L3Optimum inductance value after genetic algorithm;
Represent the 4th inductance population XL
L4Optimum inductance value after genetic algorithm;
Represent the 5th inductance population XL
L5Optimum inductance value after genetic algorithm;
Represent the first resistance population XR
R1Optimum electric class value after genetic algorithm;
Represent the second resistance population XR
R2Optimum electric class value after genetic algorithm;
Represent the 3rd resistance population XR
R3Optimum electric class value after genetic algorithm;
Indication transformer population XT.The input/output voltage ratio of the optimum transformer after genetic algorithm;
Step 6: to working as former generation optimum individual I
HbestThe assignment of initially annealing obtains initial individual I
InitiallyRight
The assignment of initially annealing then has the initial individuality of simulated annealing to do
Wherein,
Represent the first electric capacity population XC
C1The initial value that in simulated annealing, is provided with, and
Represent the second electric capacity population XC
C2The initial value that in simulated annealing, is provided with, and
Represent the 3rd electric capacity population XC
C3The initial value that in simulated annealing, is provided with, and
Represent the 4th electric capacity population XC
C4The initial value that in simulated annealing, is provided with, and
Represent the 5th electric capacity population XC
C5The initial value that in simulated annealing, is provided with, and
Represent the first inductance population XL
L1The initial value that in simulated annealing, is provided with, and
Represent the second inductance population XL
L2The initial value that in simulated annealing, is provided with, and
Represent the 3rd inductance population XL
L3The initial value that in simulated annealing, is provided with, and
Represent the 4th inductance population XL
L4The initial value that in simulated annealing, is provided with, and
Represent the 5th inductance population XL
L5The initial value that in simulated annealing, is provided with, and
Represent the first resistance population XR
R1The initial value that in simulated annealing, is provided with, and
Represent the second resistance population XR
R2The initial value that in simulated annealing, is provided with, and
Represent the 3rd resistance population XR
R3The initial value that in simulated annealing, is provided with, and
Indication transformer population XT
eThe initial value that in simulated annealing, is provided with, and
Step 7: to working as former generation optimum individual I
HbestSound out assignment, obtain souning out individual I
Sound out
Initial individuality
to simulated annealing is soundd out assignment; New exploration value individual
is then arranged wherein
Be the first electric capacity population XC
C1In the variable-value scope is Δ x
C1In generate at random,
Be the second electric capacity population XC
C2In the variable-value scope is Δ x
C2In generate at random,
Be the 3rd electric capacity population XC
C3In the variable-value scope is Δ x
C3In generate at random,
Be the 4th electric capacity population XC
C4In the variable-value scope is Δ x
C4In generate at random,
Be the 5th electric capacity population XC
C5In the variable-value scope is Δ x
C5In generate at random,
Be the second inductance population XL
L2In the variable-value scope is Δ x
L2In generate at random,
Be the second resistance population XR
R2In the variable-value scope is Δ x
R2In generate at random,
Step 8: according to objective function M
Target={ f
Target, l
Target, initial individual I
InitiallyWith the individual I of exploration
Sound outCarry out simulated annealing optimization, obtain the electronic component Parameter Optimization and separate;
Step 801: calculate and sound out individuality
Corresponding objective function M
Target={ f
Target, l
TargetValue be respectively ff
1And ll
1, ff
1Individual I is soundd out in expression
Sound outCorresponding standing-wave ratio (SWR) optimization aim f
TargetValue, ll
1Individual I is soundd out in expression
Sound outCorresponding power optimization target l
TargetValue;
Step 802: calculate initial individual
Corresponding target function value M
Target={ f
Target, l
TargetValue be respectively ff
2And ll
2, ff
2Represent initial individual I
InitiallyCorresponding standing-wave ratio (SWR) optimization aim f
TargetValue, ll
2Represent initial individual I
InitiallyCorresponding power optimization target l
TargetValue;
Step 803: judge and sound out individual I
Sound outTarget function value M target={ f
Target, l
TargetValue ff
1And ll
2Whether be superior to initial individual I
InitiallyCorresponding target function value M
Target={ f
Target, l
TargetValue ff
2And ll
2, if ff
1≤ff
2And ll
1>=ll
2, then get into step 804, otherwise return step 801;
Step 804: calculate and sound out individual I
Sound outWhether satisfy the receiver function relation
If satisfy and then will sound out individual I
Sound outSubstitute initial individual I
Initially, get into step 805; If do not satisfy and then return step 801; P
VSWRThe corresponding probability of acceptance of expression standing-wave ratio (SWR), P
GThe corresponding probability of acceptance of expression conversion gain, T
NowExpression Current Temperatures, r are at the interior random number that generates with the probabilistic of uniformly distributed function of [0,1] scope, i.e. r=RAN (0,1)
Step 805: in annealing algorithm, carry out temperature and reduce, and judge Current Temperatures T with cooling rate a
NowWhether less than by temperature T
End, if T
NowGreater than T
End, then return step 801; If T
NowSmaller or equal to T
End, the initial individual I after then will optimizing
InitiallyElectronic component parameter optimization as after heredity-simulated annealing processing is separated I
Best,
2. employing heredity according to claim 1-simulated annealing makes up electronic component Parameter Optimization method in the antenna broadband matching network, it is characterized in that: if the first sub-group Q
1Adopted objective function M
Target={ f
Target, l
TargetIn antenna standing wave ratio f
TargetBe optimized, then the second sub-group Q
2Should adopt objective function M
Target={ f
Target, l
TargetIn conversion power gain l
TargetBe optimized; Otherwise, if the second sub-group Q
2Adopted objective function M
Target={ f
Target, l
TargetIn antenna standing wave ratio f
TargetBe optimized, then the first sub-group Q
1Should adopt objective function M
Target={ f
Target, l
TargetIn conversion power gain l
TargetBe optimized.
3. employing heredity according to claim 1-simulated annealing makes up electronic component Parameter Optimization method in the antenna broadband matching network, it is characterized in that: the input/output voltage of the transformer TO of employing is than being DT:1.
4. employing heredity according to claim 1-simulated annealing makes up electronic component Parameter Optimization method in the antenna broadband matching network, and it is characterized in that: the value of chromosomal variable m, w, v and n is 200.
5. employing heredity according to claim 1-simulated annealing makes up electronic component Parameter Optimization method in the antenna broadband matching network, and it is characterized in that: the iteration step number K that selects for use in the said genetic algorithm is 250.
6. employing heredity according to claim 1-simulated annealing makes up electronic component Parameter Optimization method in the antenna broadband matching network, it is characterized in that: the initial temperature T0 that selects for use in the said simulated annealing is 0.05 degree, by temperature T
EndBe 0.00001 degree, cooling rate a is 0.9.
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