CN106405288B - A method of obtaining linear impedance stabilization network electromagnetic transmission matrix - Google Patents
A method of obtaining linear impedance stabilization network electromagnetic transmission matrix Download PDFInfo
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- CN106405288B CN106405288B CN201610796347.0A CN201610796347A CN106405288B CN 106405288 B CN106405288 B CN 106405288B CN 201610796347 A CN201610796347 A CN 201610796347A CN 106405288 B CN106405288 B CN 106405288B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/001—Measuring interference from external sources to, or emission from, the device under test, e.g. EMC, EMI, EMP or ESD testing
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Abstract
The invention discloses a kind of methods of acquisition linear impedance stabilization network electromagnetic transmission matrix in the operating condition, use the resistance and vector network analyzer of known impedance.Firstly, obtaining certain known resistance in the impedance magnitude-frequency and Phase-Frequency relationship of regulation frequency range using impedance analyzer；Secondly, using the measuring configuration method of disclosure of the invention, connection resistance, vector network analyzer and linear impedance stabilization network；Then, electromagnetic scattering matrix of the linear impedance stabilization network between measuring configuration lower port is obtained using vector network analyzer；Method disclosed by the invention later solves the intrinsic electromagnetic transmission matrix of linear impedance stabilization network.The electromagnetic transmission matrix can characterize the build-in attribute of linear impedance stabilization network, for modeling or subtest work.
Description
Technical field
The present invention relates to a kind of methods of the electromagnetic transmission matrix of acquisition linear impedance stabilization network in the operating condition, belong to
In field of electromagnetic compatibility.
Background technique
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 (such as national military standard GJB-151B " military equipment and subsystem Electromagnetic Launching and susceptibility requirement
With measurement ") in specifying measurement electronic equipment electromagnetic conductive emit when need power grid and be tested electronic equipment power supply
Linear impedance stabilization network is inserted between line.The effect of linear impedance stabilization network is: 1) in entire conduction emission measurement frequency model
In enclosing, a stable impedance is provided to test item power supply line, for guaranteeing to measure the consistency between place；2) power grid is prevented
On exterior conductive noise jamming measurement.Linear impedance stabilization network form as defined in GJB-151B is shown in attached drawing 1.
Electromagnetic transmission matrix refers in document (" D.M.Pozar, Microwave engineering.John Wiley&
Sons, 2009 ") a kind of parameter for the analysis microwave circuit network introduced in, also known as ABCD parameter.In some tests and modeling
In, need to obtain electromagnetic transmission matrix of the linear impedance stabilization network in measurement port to connection test item port.Theoretically, line
Property impedance stable network electromagnetic transmission matrix the electronic components such as its capacitor, inductance and its layout calculation can be used obtain.
But due to the presence of parasitic parameter, need to connect power grid and other cables when actual measurement in addition, therefore cannot be directly using reason
Think that the value of electronic component directly calculates the electromagnetic transmission parameter of linear impedance stabilization network.Therefore, the invention discloses one kind
Using the resistance and vector network analyzer of known impedance, electromagnetism of the linear impedance stabilization network under actual working state is obtained
The method of transmission matrix.
Summary of the invention
The technology of the present invention solves the problems, such as: overcoming the deficiencies of the prior art and provide a kind of acquisition linear impedance stabilization network electricity
The method of magnetic transmission matrix measures its electromagnetic transmission matrix, Ke Yijian using the resistance and vector network analyzer of known impedance
Single, the accurate electromagnetic transmission matrix for obtaining linear impedance stabilization network under actual working state, convenient for stablizing to linear impedance
Network carries out accurate modeling and analysis.
The technology of the present invention solution: a method of linear impedance stabilization network electromagnetic transmission matrix being obtained, firstly, making
Certain known resistance is obtained in the impedance magnitude-frequency and Phase-Frequency relationship of regulation frequency range with impedance analyzer；Secondly, using
Measuring configuration method, connection resistance, vector network analyzer and linear impedance stabilization network；Then, using vector network analysis
Instrument obtains electromagnetic scattering matrix of the linear impedance stabilization network between measuring configuration lower port；Method disclosed by the invention later,
Solve the intrinsic electromagnetic transmission matrix of linear impedance stabilization network.The 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 includes the following steps:
Step 1: impedance value of the measurement calibrating resistance in regulation frequency range
And according to measurement frequency range, rated current is selected to be greater than known to 2 of linear impedance stabilization network rated current to be measured
The rated impedance value of resistance, the two resistance answers difference.Use precise impedance analyzer (such as WK6500B of Wenko AG of Britain
The precise impedance analyzer of model), 2 known resistances impedance value of several frequency points in measurement frequency range is obtained respectively to be denoted as respectively
Zm1And Zm2。
Step 2: according to measuring configuration disclosed by the invention, the electromagnetic scattering matrix of whole network is measured
The grid interface of the linear impedance stabilization network of 2 same models is separately connected firewire and zero curve in power grid,
Ground wire connects the safety line of power grid, and (such as U.S. is moral scientific & technical corporation to radio-frequency measurement interface connected vector Network Analyzer
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.Use vector network analysis
Instrument, which measures the electromagnetic scattering parameter matrix of regulation frequency range and saves, is denoted as Sm1, and use document (" D.M.Pozar, Microwave
Engineering.JohnWiley&Sons, 2009 ") the relationship meter between given electromagnetic transmission matrix and electromagnetic scattering matrix
The B parameter and C parameter for calculating the electromagnetic transmission matrix of whole network, are denoted as respectivelyWith
Connect known resistance Zm2To between 2 linear impedance stabilization network test item interfaces, surveyed with vector network analyzer
Gauge determines the electromagnetic scattering parameter matrix of frequency range and saves to be denoted as Sm2.And use document (" D.M.Pozar, Microwave
Engineering.John Wiley&Sons, 2009 ") relationship between given electromagnetic transmission matrix and electromagnetic scattering matrix
The B parameter and C parameter for calculating the electromagnetic transmission matrix of whole network, are denoted asWith
Step 3: according to electromagnetic scattering matrix, the electromagnetic transmission matrix of linear impedance stabilization network is calculated
Step 301: the electromagnetic transmission matrix of equivalent network is calculated using microwave analysis method
Electricity according to the method for microwave theory, in step 2 between the radio-frequency measurement interface of 2 linear impedance stabilization networks
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, 2 linear impedance stabilization networks as used in step 2 are identical model, and known resistance Zm1Or Zm2To 2 lines
The connection type of the test item interface of property impedance stable network, ensure that 3 (N of equivalent network 1 and equivalent network1And N3) it is mirror image
Symmetrical network.Therefore there are A in the electromagnetic transmission matrix of two networks1=D3,B1=B3,C1=C3,D1=A3Relationship.When 2
It is Z that impedance is connected between a impedance stable network test item interfacem1When resistance when, the transmission matrix of network 2 can indicate are as follows:
Then the transmission matrix of entire equivalent circuit network may be calculated:
Step 302: calculating the intrinsic electromagnetic parameter matrix of linear impedance stabilization network
Consider the B parameter and C parameter of transmission matrix, it may be assumed that
It is Z that step 2, which has been separately connected two known impedance values,m1And Zm2Resistance value, then can be according to formula (3) side of listing
Journey group:
In formulaWithRespectively 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 are as follows:
In view of A1Real part be generally positive number, therefore taking wherein real part is the value of positive number.Acquire A1Value after, can be with
Acquire the B parameter of 1 electromagnetic transmission matrix of network are as follows:
Similarly, in step 2, being separately connected two known impedance values is Zm1And Zm2Resistance, then can be according to formula (3)
List equation group:
In formulaWithRespectively connect Zm1And Zm2When whole system transmission matrix C parameter, obtained by step 2
?.It can be in the hope of the C parameter of network 1 (linear impedance stabilization network) electromagnetic transmission matrix are as follows:
In view of C1Real part be generally positive number, therefore taking wherein real part is the value of positive number.Acquire C1Value after, can be with
Acquire the D parameter of 1 electromagnetic transmission matrix of network are as follows:
Due to the electromagnetic transmission parameter square of electromagnetic transmission matrix whole network 1 (linear impedance stabilization network i.e. to be measured)
Battle array ALISN4 elements be respectively A1, B1, C1And D1Four, i.e.,Formula (5), (6), (8) then can be used
(9) result combination obtains the electromagnetic transmission parameter matrix of whole network 1 (linear impedance stabilization network i.e. to be measured)
ALISN。
The present invention is with the advantages of prior art:
The invention discloses a kind of resistance and vector network analyzer using known impedance, obtain linear impedance and stablize net
The method of network electromagnetic transmission matrix in the operating condition.The invention mainly uses resistance, impedance analyzer and vector network analysis
Instrument measures, and measurement method is relatively easy, and accuracy is higher, improves the efficiency of test.In addition, the present invention can be linear
Impedance stable network is carried out when connecting power grid, and the specific aim of measurement result is stronger, can characterize consolidating for linear impedance stabilization network
There is attribute, for modeling or subtest work.
Detailed description of the invention
Fig. 1 is linear impedance stabilization network circuit diagram as defined in GJB-151B；
Fig. 2 is the method for the present invention implementation flow chart,
Fig. 3 is R1And R2Impedance value (amplitude) of the resistance in measurement frequency range；
Fig. 4 is R1And R2Impedance value (phase) of the resistance in measurement frequency range；
Fig. 5 is calibration arrangements method schematic diagram disclosed by the invention；
Fig. 6 is calibration arrangements equivalent circuit diagram；
Fig. 7 is the electromagnetic transmission matrix diagram (amplitude) of linear impedance stabilization network example；
Fig. 8 is the electromagnetic transmission matrix diagram (phase) of linear impedance stabilization network example.
Specific embodiment
The present invention will be described in further detail with example with reference to the accompanying drawing.
With linear impedance stabilization network (circuit diagram such as Fig. 1 institute of the NBL8225 model of German Schwarz Baker Co., Ltd
Show) for, describe detailed step disclosed in this method.The value of resistance, capacitor and inductance is all by corresponding military standard in Fig. 1
(such as national military standard GJB-151B " military equipment and subsystem Electromagnetic Launching and susceptibility requires and measurement ") has carried out specific rule
It is fixed.Linear impedance stabilization network mainly has 3 interfaces, and two of them are separately connected power grid and test item, another is coaxial
Interface is measured, connecting test instrument is used to.
As shown in Fig. 2, the present invention specifically includes the following steps:
Step 1: impedance value of the measurement subject resistance in regulation frequency range
It determines measurement frequency range (100kHz~30MHz), and according to measurement frequency range, rated current is selected to be greater than to linear resistance
The rated value of resistance of 2 resistance of anti-stabilizing network rated current, this 2 resistance is different.
Using precise impedance analyzer (the precise impedance analyzer of the WK6500B model of such as Wenko AG of Britain), respectively
Obtain impedance value (such as frequency f of 2 resistance several frequency points in measurement frequency rangeiImpedance value be denoted as Z respectivelym1(fi) and Zm2
(fi)), two resistance are denoted as Z in the impedance value of entire frequency range respectivelym1And Zm2.Impedance magnitude-frequency relation of two resistance and
Phase-Frequency relationship is shown in Fig. 5 and Fig. 6.
Step 2: according to measuring configuration disclosed by the invention, the electromagnetic scattering matrix of whole network is measured
Configuration method disclosed by the invention has following main points referring to Fig. 3:
The linear impedance stabilization network of (1) 2 same model (is denoted as L respectively1And L2) grid interface be separately connected power grid
In firewire and zero curve.
(2) linear impedance stabilization network (L1And L2) ground wire be all connected with the safety line of power grid.
(3) linear impedance stabilization network (L1And L2) radio-frequency measurement port, according to the connection method connected vector net of Fig. 1
The measurement port 1 and measurement port 2 of network analyzer.
Step 201: measurement connection resistance Zm1When electromagnetic scattering matrix, and calculate the matrix of whole network electromagnetic transmission at this time
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 5.Adjustment vector Network Analyzer, the electromagnetic scattering parameter matrix of measurement regulation frequency range (100kHz~30MHz), and should
Matrix saves in a computer in the amplitude and phase of different frequent points, and electromagnetic scattering matrix is denoted as S at this timem1, as shown in formula (10).
It is given using document (" D.M.Pozar, Microwave engineering.John Wiley&Sons, 2009 ")
Electromagnetic transmission matrix and electromagnetic scattering matrix between relationship, i.e., formula (11) calculate calculate whole network electromagnetic transmission matrix
B parameter and C parameter, be denoted as respectivelyWith
Z in formula0For the characteristic impedance of vector network analyzer measurement port, the present invention is 50 ohm.
Step 202: measurement connection resistance Zm2When electromagnetic scattering matrix, and calculate the matrix of whole network electromagnetic transmission at this time
B parameter and C parameterWith
The resistance Z connected in removal step 201m1, and connect known resistance Zm2To 2 linear impedance stabilization network L1And L2
Test item interface Pe1And Pe2Between, it is also shown in FIG. 5.It is similar with step 201 to measure regulation frequency with vector network analyzer
Section electromagnetic scattering parameter matrix and save be denoted as Sm2.The electromagnetic transmission matrix of whole network is calculated using the method for step 201
B parameter and C parameter, be denoted asWith
Step 3: according to electromagnetic scattering matrix, the electromagnetic transmission matrix of linear impedance stabilization network is calculated
According to the method for microwave theory, equivalent circuit diagram when measuring configuration can be listed, as shown in Figure 4.This step root
According to the electromagnetic scattering matrix that step 2 measures, the intrinsic electromagnetic transmission matrix of linear impedance stabilization network is calculated.
Step 301: calculating the electromagnetic transmission matrix of equivalent network
In Fig. 6, the equivalent circuit of measuring configuration can be divided into 3 equivalent network N1、N2And N3, the biography of three networks
Defeated matrix is respectively ANET1、ANET2And ANET3, can indicate are as follows:
Wherein, if connection impedance is Z when calibratingmResistance when, the transmission matrix of network 2 can indicate are as follows:
Then the transmission matrix of whole network may be calculated:
Due to the network that network 1 and network 3 are mirror symmetry, A1=D3,B1=B3,C1=C3,D1=A3, then in Fig. 6
The transmission matrix of shown network are as follows:
Step 302: calculating the intrinsic electromagnetic parameter matrix of linear impedance stabilization network
The B parameter and C parameter of consideration formula (15) transmission matrix, it may be assumed that
In step 201 and step 202, being separately connected two known impedance values is Zm1And Zm2Resistance value, then can arrange
Equation group out:
In formulaWithRespectively 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 are as follows:
In view of A1Real part be generally positive number, therefore taking wherein real part is the value of positive number.Acquire A1Value after, can be with
Acquire the B parameter of 1 electromagnetic transmission matrix of network are as follows:
Similarly, in step 201 and step 202, being separately connected two known impedance values is Zm1And Zm2Resistance value, then
Equation group can be listed according to formula (16):
In formulaWithRespectively connect Zm1And Zm2When whole system transmission matrix C parameter.It can be in the hope of net
The C parameter of network 1 (linear impedance stabilization network) electromagnetic transmission matrix are as follows:
In view of C1Real part be generally positive number, therefore taking wherein real part is the value of positive number.Acquire C1Value after, can be with
Acquire the D parameter of 1 electromagnetic transmission matrix of network are as follows:
Formula (18), (19), (21) and (22) as a result, the linear impedance stabilization network i.e. to be measured of network 1 can be constructed)
Electromagnetic transmission parameter matrixAs shown in Figure 7 and Figure 8.Fig. 7 is linear impedance stabilization network to be measured
Amplitude-frequency diagram of each element in the electromagnetic transmission matrix of example, Fig. 8 are linear impedance stabilization network examples to be measured
The Phase-Frequency figure of each element in electromagnetic transmission matrix.
Above embodiments are provided just for the sake of the description purpose of the present invention, and are not intended to limit the scope of the invention.This
The range of invention is defined by the following claims.It does not depart from spirit and principles of the present invention and the various equivalent replacements made and repairs
Change, should all cover within the scope of the present invention.
Claims (1)
1. a kind of method for obtaining linear impedance stabilization network electromagnetic transmission matrix, it is characterised in that comprise the following steps that
Step 1: impedance value of the measurement subject resistance in regulation frequency range
According to measurement frequency range, rated current is selected to be greater than 2 known resistances of linear impedance stabilization network rated current to be measured, this
The rated impedance value of two resistance answers difference；The impedance value point of 2 known resistances several frequency points in measurement frequency range is obtained respectively
Z is not denoted as itm1And Zm2；
Step 2: measuring configuration, measurement obtain the electromagnetic scattering matrix of linear impedance stabilization network
The grid interface of the linear impedance stabilization network of 2 same models is separately connected firewire and zero curve in power grid, ground wire
Connect the safety line of power grid, the measurement port 1 and measurement port 2 of radio-frequency measurement interface connected vector Network Analyzer；
Connect known resistance Zm1To between the test item interface of 2 linear impedance stabilization networks, surveyed using vector network analyzer
Gauge determines the electromagnetic scattering parameter matrix of frequency range and saves to be denoted as Sm1, and according between electromagnetic transmission matrix and electromagnetic scattering matrix
Relationship calculate entire linear impedance stabilization network electromagnetic transmission matrix B parameter and C parameter, be denoted as respectivelyWith
Connect known resistance Zm2To between 2 linear impedance stabilization network test item interfaces, with vector network analyzer measuring gage
Determine the electromagnetic scattering parameter matrix of frequency range and save to be denoted as Sm2, and according to the pass between electromagnetic transmission matrix and electromagnetic scattering matrix
System calculates the B parameter and C parameter of the electromagnetic transmission matrix of entire linear impedance stabilization network, is denoted asWith
Step 3: the intrinsic electromagnetic transmission matrix of linear impedance stabilization network is gone out according to electromagnetic scattering Matrix Solving；
The step 3 goes out the intrinsic electromagnetic transmission matrix of linear impedance stabilization network according to electromagnetic scattering Matrix SolvingThe formula of each element is as follows:
Above-mentioned formula is solved respectively, can obtain each element of the intrinsic electromagnetic transmission matrix of linear impedance stabilization network.
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| CN113933631B (en) * | 2021-10-12 | 2022-05-03 | 北京航空航天大学 | Multi-conductor cable electromagnetic parameter automatic testing method |
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