CN106405288A - Method for obtaining electromagnetic transmission matrix of linear impedance stabilization network - Google Patents

Method for obtaining electromagnetic transmission matrix of linear impedance stabilization network Download PDF

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CN106405288A
CN106405288A CN201610796347.0A CN201610796347A CN106405288A CN 106405288 A CN106405288 A CN 106405288A CN 201610796347 A CN201610796347 A CN 201610796347A CN 106405288 A CN106405288 A CN 106405288A
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network
matrix
linear impedance
transmission matrix
electromagnetic
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CN106405288B (en
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苏东林
尚晓凡
刘焱
徐辉
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Beihang University
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Beihang University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/001Measuring interference from external sources to, or emission from, the device under test, e.g. EMC, EMI, EMP or ESD testing

Abstract

The present invention discloses a method for obtaining the electromagnetic transmission matrix of a linear impedance stabilization network. According to the method, resistors of which the impedance is known and a vector network analyzer are adopted. An impedance analyzer is used to obtain the impedance amplitude-frequency and phase-frequency relationship of the known resistors in a specified frequency band; a measurement configuration method disclosed by the invention is adopted to connect the resistors, the vector network analyzer and the linear impedance stabilization network; the vector network analyzer is used to obtain an electromagnetic scattering matrix between the ports of the linear impedance stabilization network under measurement configuration; and the method provided by the present invention is used to solve the inherent electromagnetic transmission matrix of the linear impedance stabilization network, wherein the electromagnetic transmission matrix can characterize the inherent properties of the linear impedance stabilization network and be used for modeling or auxiliary testing.

Description

A kind of method obtaining linear impedance stabilization network electromagnetic transmission matrix
Technical field
The present invention relates to a kind of method obtaining linear impedance stabilization network electromagnetic transmission matrix lower in working order, genus In field of electromagnetic compatibility.
Background technology
Electronic equipment is before sizing or listing it is necessary to meet limit specified in corresponding military standard or civil standards Value.In general, corresponding standard is (as national military standard GJB-151B《Military equipment and subsystem Electromagnetic Launching and sensitivity require With measurement》) in specifying measurement electronic equipment electromagnetic conductive transmitting when need in electrical network and the power supply being test for electronic equipment Linear impedance stabilization network is inserted between line.The effect of linear impedance stabilization network is:1) in whole conduction emission measurement frequency model In enclosing, provide a stable impedance to test item power line, for ensureing to measure the concordance between place;2) prevent electrical network On exterior conductive noise jamming measurement.The linear impedance stabilization network form that GJB-151B specifies is shown in accompanying drawing 1.
Electromagnetic transmission matrix refers in document (" D.M.Pozar, Microwave engineering.John Wiley& A kind of parameter of the analysis microwave circuit network introduced in Sons, 2009 "), is also called ABCD parameter.In some tests and modeling In, need to obtain linear impedance stabilization network in measurement port to the electromagnetic transmission matrix connecting test item port.In theory, line Property impedance stable network electromagnetic transmission matrix can be obtained using the electronic devices and components such as its electric capacity, inductance and its layout calculation. But the presence due to parasitic parameter, needs during actual measurement to connect electrical network and other cables, therefore can not be directly using reason in addition Think that the value of electronic devices and components directly calculates the electromagnetic transmission parameter of linear impedance stabilization network.Therefore, the invention discloses a kind of Using resistance and the vector network analyzer of known impedance, obtain electromagnetism under actual working state for the linear impedance stabilization network The method of transmission matrix.
Content of the invention
The technology of the present invention solve problem:Overcome the deficiencies in the prior art, a kind of acquisition linear impedance stabilization network electricity is provided The method of magnetic transmission matrix, resistance and vector network analyzer using known impedance measure its electromagnetic transmission matrix, Ke Yijian Single, accurate acquisition electromagnetic transmission matrix under actual working state for the linear impedance stabilization network, is easy to stable to linear impedance Network carries out accurate modeling and analysis.
The technology of the present invention solution:A kind of method obtaining linear impedance stabilization network electromagnetic transmission matrix, first, makes Obtain certain known resistance with electric impedance analyzer in the impedance magnitude-frequency of regulation frequency range and Phase-Frequency relation;Secondly, use Measurement collocation method, connects resistance, vector network analyzer and linear impedance stabilization network;Then, using vector network analysis Instrument obtains electromagnetic scattering matrix between measurement configuration lower port for the linear impedance stabilization network;Method disclosed by the invention afterwards, Solve the intrinsic electromagnetic transmission matrix of linear impedance stabilization network.This electromagnetic transmission matrix can characterize linear impedance and stablize net The build-in attribute of network, for modeling or subtest work.
As shown in Fig. 2 the present invention comprises the following steps:
Step one:Resistance value in regulation frequency range for the measurement calibrating resistance
And according to measurement frequency range, select rated current to be more than known to 2 of linear impedance stabilization network rated current to be measured Resistance, the rated impedance value of this two resistance should difference.Using the precise impedance analyser (WK6500B as Wenko AG of Britain The precise impedance analyser of model), obtain 2 known resistances resistance value of some frequencies in measurement frequency range respectively and be designated as respectively Zm1And Zm2.
Step 2:According to measurement configuration disclosed by the invention, the electromagnetic scattering matrix of measurement whole network
The grid interface of the linear impedance stabilization network of 2 same model is connected respectively live wire and the zero line in electrical network, Ground wire connects the safety line of electrical network, and radio-frequency measurement interface connected vector Network Analyzer is (as Shi De scientific & technical corporation of the U.S. The vector network analyzer of E5080A model) measurement port 1 and measurement port 2.
Connect known resistance Zm1To between the test item interface of 2 linear impedance stabilization networks.Using vector network analysis Instrument measures the electromagnetic scattering parameter matrix of regulation frequency range and preserves and be designated as Sm1, and use document (" D.M.Pozar, Microwave Engineering.John Wiley&Sons, 2009 " relation between the electromagnetic transmission matrix) giving and electromagnetic scattering matrix Calculate the B parameter of electromagnetic transmission matrix and the C parameter of whole network, be designated as respectivelyWith
Connect known resistance Zm2To between 2 linear impedance stabilization network test item interfaces, surveyed with vector network analyzer Gauge is determined the electromagnetic scattering parameter matrix of frequency range and is preserved and be designated as Sm2.And use document (" D.M.Pozar, Microwave Engineering.John Wiley&Sons, 2009 " relation between the electromagnetic transmission matrix) giving and electromagnetic scattering matrix Calculate the B parameter of electromagnetic transmission matrix and the C parameter of whole network, be designated asWith
Step 3:According to electromagnetic scattering matrix, calculate the electromagnetic transmission matrix of linear impedance stabilization network
Step 301:Calculate the electromagnetic transmission matrix of equivalent network using microwave analysis method
According to the method for microwave theory, the electricity between the radio-frequency measurement interface of 2 linear impedance stabilization networks in step 2 Road can be divided into 3 equivalent network N1、N2And N3, the electromagnetic transmission matrix of three networks is respectively ANET1、ANET2And ANET3.Its In, because used in step 2,2 linear impedance stabilization networks are identical model, and known resistance Zm1Or Zm2To 2 lines The connected mode of the test item interface of property impedance stable network is it is ensured that equivalent network 1 and equivalent network 3 (N1And N3) it is mirror image Symmetrical network.There is A in the electromagnetic transmission matrix of therefore two networks1=D3,B1=B3,C1=C3,D1=A3Relation.When 2 Connecting impedance between individual impedance stable network test item interface is Zm1When resistance when, the transmission matrix of network 2 can be expressed as:
Then the transmission matrix of whole equivalent circuit network may be calculated:
Step 302:Calculate the intrinsic electromagnetic parameter matrix of linear impedance stabilization network
Consider B parameter and the C parameter of transmission matrix, that is,:
It is Z that step 2 is connected to two known impedance values respectivelym1And Zm2Resistance value, then can be according to formula (3) side of listing Journey group:
In formulaWithIt is respectively and connect Zm1And Zm2When whole system transmission matrix B parameter, obtained by step 2 ?.Use (4) can be in the hope of the A parameter of network 1 (linear impedance stabilization network) electromagnetic transmission matrix is:
In view of A1Real part be generally positive number, therefore take the value that wherein real part is positive number.Try to achieve A1Value after, permissible The B parameter trying to achieve network 1 electromagnetic transmission matrix is:
In the same manner, in step 2, being connected to two known impedance values respectively is Zm1And Zm2Resistance, then can be according to formula (3) List equation group:
In formulaWithIt is respectively and connect Zm1And Zm2When whole system transmission matrix C parameter, obtained by step 2 ?.In the hope of the C parameter of network 1 (linear impedance stabilization network) electromagnetic transmission matrix can be:
In view of C1Real part be generally positive number, therefore take the value that wherein real part is positive number.Try to achieve C1Value after, permissible The D parameter trying to achieve network 1 electromagnetic transmission matrix is:
Electromagnetic transmission parameter square due to electromagnetic transmission matrix whole network 1 (i.e. linear impedance stabilization network to be measured) Battle array ALISN4 elements be respectively A1, B1, C1And D1Four, that is,Formula (5), (6), (8) then can be used (9) result combination obtains the electromagnetic transmission parameter matrix of whole network 1 (i.e. linear impedance stabilization network to be measured) ALISN.
The present invention is with the advantage of prior art:
The invention discloses a kind of resistance of use known impedance and vector network analyzer, obtain linear impedance and stablize net The method that network descends electromagnetic transmission matrix in working order.This invention is mainly using resistance, electric impedance analyzer and vector network analysis Instrument measures, and measuring method is relatively easy, and accuracy is higher, improves the efficiency of test.In addition, the present invention can be linear Impedance stable network connects to be carried out during electrical network, and the specific aim of measurement result is higher, can characterize consolidating of linear impedance stabilization network There is attribute, for modeling or subtest work.
Brief description
The linear impedance stabilization network circuit theory diagrams that Fig. 1 specifies for GJB-151B;
Fig. 2 is the inventive method flowchart,
Fig. 3 is calibration arrangements method schematic diagram disclosed by the invention;
Fig. 4 is calibration arrangements equivalent circuit diagram;
Fig. 5 is R1And R2Resistance value (amplitude) in measurement frequency range for the resistance;
Fig. 6 is R1And R2Resistance value (phase place) in measurement frequency range for the resistance;
Fig. 7 is the electromagnetic transmission matrix diagram (amplitude) of linear impedance stabilization network example;
Fig. 8 is the electromagnetic transmission matrix diagram (phase place) of linear impedance stabilization network example.
Specific embodiment
The present invention will be described in further detail with example below in conjunction with the accompanying drawings.
Linear impedance stabilization network (circuit theory diagrams such as Fig. 1 institute with the NBL8225 model of German Schwarz Baker Co., Ltd Show) as a example, detailed step disclosed in narration this method.In Fig. 1, the value of resistance, electric capacity and inductance is all by corresponding military standard (as national military standard GJB-151B《Military equipment and subsystem Electromagnetic Launching and sensitivity require and measurement》) carry out clear and definite rule Fixed.Linear impedance stabilization network mainly has 3 interfaces, and two of which connects electrical network and test item respectively, and another one is coaxial Measurement interface, for connecting test instrument.
As shown in Fig. 2 the present invention specifically includes the following step:
Step one:Measure resistance value in regulation frequency range for the tested resistance
Determine measurement frequency range (100kHz~30MHz), and according to measurement frequency range, select rated current to be more than and treat linear resistance 2 resistance of anti-stabilizing network rated current, the rated value of resistance of this 2 resistance is different.
Using precise impedance analyser (as the precise impedance analyser of the WK6500B model of Wenko AG of Britain), difference The resistance value obtaining 2 resistance some frequencies in measurement frequency range is (as frequency fiResistance value be designated as Z respectivelym1(fi) and Zm2 (fi)), two resistance are designated as Z respectively in the resistance value of whole frequency rangem1And Zm2.Impedance magnitude-the frequency relation of two resistance and Phase-Frequency relation is shown in Fig. 3 and Fig. 4.
Step 2:According to measurement configuration disclosed by the invention, the electromagnetic scattering matrix of measurement whole network
Collocation method disclosed by the invention, referring to Fig. 5, has following main points:
The linear impedance stabilization network of (1) 2 same model (is designated as L respectively1And L2) grid interface connect electrical network respectively In live wire and zero line.
(2) linear impedance stabilization network (L1And L2) ground wire be all connected with the safety line of electrical network.
(3) linear impedance stabilization network (L1And L2) radio-frequency measurement port, according to the method for attachment connected vector net of Fig. 1 The measurement port 1 of network analyser and measurement port 2.
Step 201:Measurement connects resistance Zm1When electromagnetic scattering matrix, and calculate now whole network electromagnetic transmission matrix B parameter and C parameterWith
Connect known resistance Zm1To 2 linear impedance stabilization network L1And L2Test item interface Pe1And Pe2Between, such as scheme Shown in 3.Adjustment vector Network Analyzer, the electromagnetic scattering parameter matrix of measurement regulation frequency range (100kHz~30MHz), and should Matrix preserves in a computer in the amplitude of different frequent points and phase place, and now electromagnetic scattering matrix is designated as Sm1, as shown in formula (10).
Given using document (" D.M.Pozar, Microwave engineering.John Wiley&Sons, 2009 ") Electromagnetic transmission matrix and electromagnetic scattering matrix between relation, that is, formula (11) calculate calculate whole network electromagnetic transmission matrix B parameter and C parameter, be designated as respectivelyWith
Z in formula0For the characteristic impedance of vector network analyzer measurement port, the present invention is 50 ohm.
Step 202:Measurement connects resistance Zm2When electromagnetic scattering matrix, and calculate now whole network electromagnetic transmission matrix B parameter and C parameterWith
Remove the resistance Z connecting in step 201m1, and connect known resistance Zm2To 2 linear impedance stabilization network L1And L2 Test item interface Pe1And Pe2Between, also shown in FIG. 3.Vector network analyzer measurement regulation similar with step 201 is frequently The electromagnetic scattering parameter matrix of section simultaneously preserves and is designated as Sm2.Method using step 201 calculates the electromagnetic transmission matrix of whole network B parameter and C parameter, be designated asWith
Step 3:According to electromagnetic scattering matrix, calculate the electromagnetic transmission matrix of linear impedance stabilization network
According to the method for microwave theory, equivalent circuit diagram during measurement configuration can be listed, as shown in Figure 6.This step root According to the electromagnetic scattering matrix of step 2 measurement, calculate the intrinsic electromagnetic transmission matrix of linear impedance stabilization network.
Step 301:Calculate the electromagnetic transmission matrix of equivalent network
In figure 6, the equivalent circuit of measurement configuration can be divided into 3 equivalent network N1、N2And N3, the biography of three networks Defeated matrix is respectively ANET1、ANET2And ANET3, can be expressed as:
Wherein, if connecting impedance when calibrating is ZmResistance when, the transmission matrix of network 2 can be expressed as:
Then the transmission matrix of whole network may be calculated:
Because network 1 and network 3 are the network of specular, therefore A1=D3,B1=B3,C1=C3,D1=A3, then in Fig. 6 The transmission matrix of shown network is:
Step 302:Calculate the intrinsic electromagnetic parameter matrix of linear impedance stabilization network
The B parameter of consideration formula (15) transmission matrix and C parameter, that is,:
In step 201 and step 202, being connected to two known impedance values respectively is Zm1And Zm2Resistance value, then can arrange Go out equation group:
In formulaWithIt is respectively and connect Zm1And Zm2When whole system transmission matrix B parameter, can be in the hope of net The A parameter of network 1 (linear impedance stabilization network) electromagnetic transmission matrix is:
In view of A1Real part be generally positive number, therefore take the value that wherein real part is positive number.Try to achieve A1Value after, permissible The B parameter trying to achieve network 1 electromagnetic transmission matrix is:
In the same manner, in step 201 and step 202, being connected to two known impedance values respectively is Zm1And Zm2Resistance value, then Equation group can be listed according to formula (16):
In formulaWithIt is respectively and connect Zm1And Zm2When whole system transmission matrix C parameter.Can be in the hope of net The C parameter of network 1 (linear impedance stabilization network) electromagnetic transmission matrix is:
In view of C1Real part be generally positive number, therefore take the value that wherein real part is positive number.Try to achieve C1Value after, permissible The D parameter trying to achieve network 1 electromagnetic transmission matrix is:
Formula (18), (19), (21) and (22) as a result, it is possible to build network 1 be linear impedance stabilization network to be measured) Electromagnetic transmission parameter matrixAs shown in Figure 7 and Figure 8.Fig. 7 is linear impedance stabilization network to be measured Amplitude-the frequency diagram of each element in the electromagnetic transmission matrix of example, Fig. 8 is linear impedance stabilization network example to be measured The Phase-Frequency figure of each element in electromagnetic transmission matrix.
There is provided above example to be used for the purpose of the description purpose of the present invention, and be not intended to limit the scope of the present invention.This The scope of invention is defined by the following claims.Various equivalents made without departing from spirit and principles of the present invention and repairing Change, all should cover within the scope of the present invention.

Claims (2)

1. a kind of method obtaining linear impedance stabilization network electromagnetic transmission matrix is it is characterised in that inclusion step is as follows:
Step one:Measure resistance value in regulation frequency range for the tested resistance
According to measurement frequency range, rated current is selected to be more than 2 known resistances of linear impedance stabilization network rated current to be measured, this The rated impedance value of two resistance should difference;Obtain 2 known resistances resistance value of some frequencies in measurement frequency range respectively to divide It is not designated as Zm1And Zm2
Step 2:Measurement configuration, measurement obtains the electromagnetic scattering matrix of linear impedance stabilization network
The grid interface of the linear impedance stabilization network of 2 same model is connected respectively live wire and the zero line in electrical network, ground wire Connect safety line, the measurement port 1 of radio-frequency measurement interface connected vector Network Analyzer and the measurement port 2 of electrical network;
Connect known resistance Zm1To between the test item interface of 2 linear impedance stabilization networks, surveyed using vector network analyzer Gauge is determined the electromagnetic scattering parameter matrix of frequency range and is preserved and be designated as Sm1, and according between electromagnetic transmission matrix and electromagnetic scattering matrix Relation calculate the B parameter of electromagnetic transmission matrix of whole linear impedance stabilization network and C parameter, be designated as respectivelyWith Connect known resistance Zm2To between 2 linear impedance stabilization network test item interfaces, with vector network analyzer measurement regulation frequency The electromagnetic scattering parameter matrix of section simultaneously preserves and is designated as Sm2, and according to the relation meter between electromagnetic transmission matrix and electromagnetic scattering matrix Calculate the B parameter of electromagnetic transmission matrix and the C parameter of whole linear impedance stabilization network, be designated asWith
Step 3:According to the intrinsic electromagnetic transmission matrix of the cutting edge aligned impedance stable network of electromagnetic scattering Matrix Solving.
2. a kind of method obtaining linear impedance stabilization network electromagnetic transmission matrix according to claim 1, its feature exists In:Described step 3, according to the intrinsic electromagnetic transmission matrix of the cutting edge aligned impedance stable network of electromagnetic scattering Matrix SolvingThe formula of each element is as follows:
A 1 = ± B Z m 1 - B Z m 2 Z m 1 - Z m 2 , B 1 = ( B Z m 1 + B Z m 2 ) - A 1 2 ( Z m 1 + Z m 2 ) 4 A 1 ,
C 1 = ± C Z m 1 - C Z m 2 Z m 1 - Z m 2 , D 1 = ( C Z m 1 + C Z m 2 ) - C 1 2 ( Z m 1 + Z m 2 ) 4 C 1
Solve above-mentioned formula respectively, it is possible to obtain each element of the intrinsic electromagnetic transmission matrix of linear impedance stabilization network.
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CN111337754A (en) * 2018-12-18 2020-06-26 航天科工惯性技术有限公司 Method for measuring electromagnetic coupling efficiency of wireless power transmission system based on scattering matrix
CN113933631A (en) * 2021-10-12 2022-01-14 北京航空航天大学 Multi-conductor cable electromagnetic parameter automatic testing method

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