CN104134862B - Circular patch tie Microstrip Antenna computational methods - Google Patents

Abstract

The embodiment of the present invention provides a kind of circular patch tie Microstrip Antenna computational methods.The embodiment of the present invention is by setting up the computing formula of circular patch microstrip antenna effective radius, and adopt field mouth optimization method and electromagnetism technology of numerical simulation that the undetermined coefficient in this computing formula is determined, thus it is more accurate to be updated to the resonant frequency that resonant frequency equation asks for after adopting the effective radius that this formula tries to achieve, and the dielectric constant of the circular patch microstrip antenna being suitable for and electricity thickness range relatively wide.

Description

Circular patch tie Microstrip Antenna computational methods

Technical field

The present embodiments relate to technical field of telecommunications, particularly relate to a kind of circular patch tie Microstrip Antenna computational methods.

Background technology

Along with the development of microstrip antenna technology, the broadband of antenna, high-gain, high efficiency and miniaturization etc. are people's targets to the pursuit of microstrip antenna, it is achieved during these technical specifications of antenna, resonant frequency is the indispensable important parameter of microstrip antenna.Each fundamental characteristics parameter of antenna, for instance, directivity, gain, main lobe width etc. are all the functions comprising resonant frequency.Therefore, only accurately know the resonant frequency of microstrip antenna, antenna effectively could be designed.

Circular patch microstrip antenna is a kind of simplest microstrip antenna.In recent years, people constantly study the computational methods of circular patch tie Microstrip Antenna.Its main cause is if antenna resonant frequency is inaccurate, can affect other parameters of antenna, and then affect the performance of radio circuit.The size of circular patch microstrip antenna, the dielectric constant of dielectric substrate and thickness are the principal elements affecting antenna resonant frequency, and antenna resonant frequency can be different because of the change of dielectric constant and electricity thickness.Although, have the computational methods of circular patch tie Microstrip Antenna at present both at home and abroad, but, these computational methods are not accurate enough, and the dielectric constant being suitable for is narrow with electricity thickness range.

Summary of the invention

The embodiment of the present invention provides a kind of circular patch tie Microstrip Antenna computational methods, to overcome the problem that circular patch tie Microstrip Antenna accuracy is not high that calculates in prior art.

The invention provides a kind of circular patch tie Microstrip Antenna computational methods, including:

Set up circular patch microstrip antenna effective radius r_effComputing formula, described effective radius computing formula is:

$r_{\mathrm{eff}}=r+h[{\mathrm{\β}}_1+{\mathrm{\β}}_2{\left(\frac{r}{h\·{\mathrm{\ϵ}}_r}\right)}^{{\mathrm{\β}}_3}+{\mathrm{\β}}_4{\left(\frac{h}{{{\mathrm{\ϵ}}_r}^{0.01}}\right)}^{{\mathrm{\β}}_5}+{\mathrm{\β}}_6\sqrt{\cos \left(\frac{h}{r\·{\mathrm{\ϵ}}_r}\right)}]---\left(1\right)$

Wherein, described r is the radius of circular patch, described ε_rFor the dielectric constant of dielectric substrate, described h is the distance of circular patch and floor, described β₁、β₂、β₃、β₄、β₅And β₆For undetermined coefficient；

Adopt field mouth optimization method to β₁、β₂、β₃、β₄、β₅And β₆It is optimized, makes after optimization to adopt the calculated circular patch microstrip antenna effective radius of described formula (1)；

Described effective radius is substituted into formula

$f_c=\frac{0.92059\·c}{\mathrm{\π}\·r_{\mathrm{eff}}\·\sqrt{{\mathrm{\ϵ}}_r}}---\left(2\right)$

Try to achieve resonant frequency f_c, wherein, described c is electromagnetic wave spread speed in a vacuum, and described π is pi；

Adopt electromagnetism technology of numerical simulation that circular patch microstrip antenna is carried out simulation analysis, obtain described circular patch tie Microstrip Antenna f_a；

Judge the circular patch tie Microstrip Antenna f that emulation obtains_aWith the f tried to achieve by effective radius formula_cBetween relative error whether less than the threshold value set, the effective radius computing formula after if so, then completing according to described optimization asks for the resonant frequency f of described circular patch microstrip antenna.

Further, the undetermined coefficient in described effective radius computing formula is respectively as follows:

β₁=0.1016, β₂=0.2344, β₃=0.4844, β₄=0.3115, β₅=1.9686 and β₆=0.2031.

Further, adopt electromagnetism technology of numerical simulation that circular patch microstrip antenna is carried out simulation analysis, the span of the physical size of the circular patch microstrip antenna that described simulation analysis is selected is 2mm≤r≤150mm, 0.4mm≤h≤150mm, the span of the dielectric constant of the dielectric substrate of the circular patch microstrip antenna that described simulation analysis is selected is 1≤ε_r≤10.2。

The embodiment of the present invention is by setting up the computing formula of circular patch microstrip antenna effective radius, and adopt field mouth optimization method and electromagnetism technology of numerical simulation that the undetermined coefficient in this computing formula is determined, be updated to the resonant frequency that resonant frequency equation asks for after adopting the effective radius that this formula tries to achieve more accurate, and the dielectric constant of the circular patch microstrip antenna being suitable for and electricity thickness range relatively wide.

Accompanying drawing explanation

In order to be illustrated more clearly that the embodiment of the present invention or technical scheme of the prior art, the accompanying drawing used required in embodiment or description of the prior art will be briefly described below, apparently, accompanying drawing in the following describes is some embodiments of the present invention, for those of ordinary skill in the art, under the premise not paying creative work, it is also possible to obtain other accompanying drawing according to these accompanying drawings.

Fig. 1 is circular patch tie Microstrip Antenna computational methods flow chart of the present invention；

Fig. 2 is the structural representation of circular patch microstrip antenna of the present invention.

Detailed description of the invention

For making the purpose of the embodiment of the present invention, technical scheme and advantage clearly, below in conjunction with the accompanying drawing in the embodiment of the present invention, technical scheme in the embodiment of the present invention is clearly and completely described, obviously, described embodiment is a part of embodiment of the present invention, rather than whole embodiments.Based on the embodiment in the present invention, the every other embodiment that those of ordinary skill in the art obtain under not making creative work premise, broadly fall into the scope of protection of the invention.

Fig. 1 is circular patch tie Microstrip Antenna computational methods flow chart of the present invention, as it is shown in figure 1, the method for the present embodiment may include that

Step 101, set up the computing formula of circular patch microstrip antenna effective radius；

Undetermined coefficient in described effective radius computing formula is optimized by step 102, employing field mouth optimization method, makes the effective radius adopting described effective radius computing formula to try to achieve circular patch microstrip antenna after optimization；

Specifically, the step of field mouth optimization method can be: one, selects fitness function, and according to fitness function, it is determined that the number of input parameter and optimization span thereof；Two, utilizing orthogonal matrix, it is determined that 3 levels corresponding with input parameter, the intermediate value of the optimization span of level 2 corresponding input parameter, level 1 deducts a step-length on the basis of level 2, and level 3 adds a step-length on the basis of level 2；Three, calculate the fitness of experiment every time according to the optimization span of input parameter and corresponding level value, be then converted into signal to noise ratio (fitness is more little, and signal to noise ratio is more big)；Four, testing signal to noise ratio corresponding to gained level as experiment feedback form, the level value corresponding to maximum signal to noise ratio is the optimum level value of this experiment input parameter every time；Five, judge whether the maximum signal to noise ratio of this experiment meets the condition of convergence, if meeting the condition of convergence, optimize termination, if being unsatisfactory for the condition of convergence, return step 2 and proceed iteration experiment, and the input parameter optimum level value this experiment obtained tests the intermediate value of level as iteration next time, in addition in order to reduce optimization span, the step-length of each iteration experiment all can be multiplied by the convergence factor less than 1；Six, test according to electromagnetism Numerical Simulation Results, when iterations is very big, the difference that current iteration experiment inputs level value corresponding to the parameter level value corresponding with last iteration experiment input parameter is then less, the fitness of iteration next time experiment is also very close to the fitness of current iteration experiment simultaneously, then optimizing termination, level value corresponding to the input parameter that now obtains is optimum results.

Step 103, by described effective radius substitute into circular patch tie Microstrip Antenna formula try to achieve the first resonant frequency；

Circular patch microstrip antenna is carried out simulation analysis by step 104, employing electromagnetism technology of numerical simulation, obtains the second resonant frequency of described circular patch microstrip antenna；

Specifically, the electromagnetism technology of numerical simulation that the embodiment of the present invention adopts is based on the Frequency Structure Simulator of FInite Element.In described emulator, first the parameter such as distance according to the radius of circular patch, the dielectric constant of dielectric substrate, circular patch and floor builds the phantom of circular patch microstrip antenna, then arranging boundary condition and solve frequency range, last simulation calculation is thus reading simulation result.The resonant frequency of circular patch microstrip antenna is obtained according to described simulation result.

Whether step 105, the relative error judged between described first resonant frequency and described second resonant frequency be less than the threshold value set, and the effective radius computing formula after if so, then completing according to described optimization asks for the resonant frequency of described circular patch microstrip antenna.

Specifically, processor sets threshold value, and judges the resonant frequency obtained by simulation analysis and by the resonant frequency of the circular patch microstrip antenna striked by the effective radius computing formula that obtains after the mouth optimization of field relative error between the two whether less than this threshold value.If the effective radius computing formula accuracy rate obtained after this optimization being described less than this threshold value meets requirement.It is therefore possible to use the effective radius of this effective radius computing formula calculating gained improves the accuracy of the resonant frequency of circular patch microstrip antenna.

Further, described effective radius computing formula is

$r_{\mathrm{eff}}=r+h[{\mathrm{\β}}_1+{\mathrm{\β}}_2{\left(\frac{r}{h\·{\mathrm{\ϵ}}_r}\right)}^{{\mathrm{\β}}_3}+{\mathrm{\β}}_4{\left(\frac{h}{{{\mathrm{\ϵ}}_r}^{0.01}}\right)}^{{\mathrm{\β}}_5}+{\mathrm{\β}}_6\sqrt{\cos \left(\frac{h}{r\·{\mathrm{\ϵ}}_r}\right)}]---\left(1\right)$

Wherein, described r is the radius of circular patch, described ε_rFor the dielectric constant of dielectric substrate, described h is the distance of circular patch and floor, described β₁、β₂、β₃、β₄、β₅And β₆For undetermined coefficient.

Further, described circular patch tie Microstrip Antenna formula is

$f_c=\frac{0.92059\·c}{\mathrm{\π}\·r_{\mathrm{eff}}\·\sqrt{{\mathrm{\ϵ}}_r}}---\left(2\right)$

Wherein, described c is electromagnetic wave spread speed in a vacuum, and described π is pi；

Further, adopt electromagnetism technology of numerical simulation that circular patch microstrip antenna is carried out simulation analysis, the span of the physical size of the circular patch microstrip antenna that described simulation analysis is selected is 2mm≤r≤150mm, 0.4mm≤h≤150mm, the span of the dielectric constant of the dielectric substrate of the circular patch microstrip antenna that described simulation analysis is selected is 1≤ε_r≤10.2。

As in figure 2 it is shown, the DIELECTRIC CONSTANT ε that the radius of circular patch 11 is r, dielectric substrate 12_r, circular patch 11 and floor 13 distance h.

The present embodiment, by setting up the computing formula of circular patch microstrip antenna effective radius, and adopt field mouth optimization method and electromagnetism technology of numerical simulation that the undetermined coefficient in this computing formula is determined, be updated to the resonant frequency that resonant frequency equation asks for after adopting the effective radius that this formula tries to achieve more accurate, and the dielectric constant of the circular patch microstrip antenna being suitable for and electricity thickness range relatively wide.

Last it is noted that various embodiments above is only in order to illustrate technical scheme, it is not intended to limit；Although the present invention being described in detail with reference to foregoing embodiments, it will be understood by those within the art that: the technical scheme described in foregoing embodiments still can be modified by it, or wherein some or all of technical characteristic is carried out equivalent replacement；And these amendments or replacement, do not make the essence of appropriate technical solution depart from the scope of various embodiments of the present invention technical scheme.

Claims (2)

1. circular patch tie Microstrip Antenna computational methods, it is characterised in that including:

Setting up the computing formula of circular patch microstrip antenna effective radius, described effective radius computing formula is

$r_{eff}=r+h\[{\mathrm{\β}}_1+{\mathrm{\β}}_2{\left(\frac{r}{h\·{\mathrm{\ϵ}}_r}\right)}^{{\mathrm{\β}}_3}+{\mathrm{\β}}_4{\left(\frac{h}{{{\mathrm{\ϵ}}_r}^{0.01}}\right)}^{{\mathrm{\β}}_5}+{\mathrm{\β}}_6\sqrt{\cos \left(\frac{r}{r\·{\mathrm{\ϵ}}_r}\right)}\]---\left(1\right)$

Wherein, described r is the radius of circular patch, described ε_rFor the dielectric constant of dielectric substrate, described h is the distance of circular patch and floor, described β₁、β₂、β₃、β₄、β₅And β₆For undetermined coefficient；

Adopt field mouth optimization method that the undetermined coefficient in described effective radius computing formula is optimized, after optimization, make the effective radius adopting described effective radius computing formula to try to achieve circular patch microstrip antenna；

Described effective radius is substituted into circular patch tie Microstrip Antenna formula and tries to achieve the first resonant frequency；

Adopt electromagnetism technology of numerical simulation that circular patch microstrip antenna is carried out simulation analysis, obtain the second resonant frequency of described circular patch microstrip antenna；

Judging that whether the relative error between described first resonant frequency and described second resonant frequency is less than the threshold value set, the effective radius computing formula after if so, then completing according to described optimization asks for the resonant frequency of described circular patch microstrip antenna；

Described circular patch tie Microstrip Antenna formula is

$f_c=\frac{0.92059\·c}{\mathrm{\π}\·r_{eff}\·\sqrt{{\mathrm{\ϵ}}_r}}---\left(2\right)$

Wherein, described c is electromagnetic wave spread speed in a vacuum, and described π is pi.

2. method according to claim 1, it is characterized in that, adopt electromagnetism technology of numerical simulation that circular patch microstrip antenna is carried out simulation analysis, the span of the physical size of the circular patch microstrip antenna that described simulation analysis is selected is 2mm≤r≤150mm, 0.4mm≤h≤150mm, the span of the dielectric constant of the dielectric substrate of the circular patch microstrip antenna that described simulation analysis is selected is 1≤ε_r≤10.2。