CN102801680A - Method for determining multi-carrier micro-discharging secondary electron number - Google Patents
Method for determining multi-carrier micro-discharging secondary electron number Download PDFInfo
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- CN102801680A CN102801680A CN2012102538397A CN201210253839A CN102801680A CN 102801680 A CN102801680 A CN 102801680A CN 2012102538397 A CN2012102538397 A CN 2012102538397A CN 201210253839 A CN201210253839 A CN 201210253839A CN 102801680 A CN102801680 A CN 102801680A
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Abstract
The invention provides a method for determining a multi-carrier micro-discharging secondary electron number. The method comprises the following steps of: firstly, taking single-path carrier signals which have different ranges and have the minimum frequency in multi-carrier signals to be analyzed as excitation signals; calculating a secondary electron number in a microwave part to be analyzed; carrying out mathematic treatment to obtain an electron accumulating speed curve under the effect of the different excitation signals; then, taking a signal between the two adjacent zero points of a multi-carrier synthesizing signal as a calculation subinterval; equalizing multi-carrier signals in each calculation subinterval into a single-carrier signal with the minimum frequency of the multi-carrier signals with the specific range; acquiring an electron accumulating speed corresponding to an equivalent single-carrier signal range through finding out an electron accumulating speed curve; accumulating an electron number generated by the effect of the multi-carrier signals between each two adjacent zero points to obtain the electron number when each calculation subinterval is finished; and counting the corresponding result to obtain the secondary electron number in the microwave part to be analyzed when the multi-carrier synthesizing signals of the different moments act.
Description
Technical field
The present invention relates to a kind of method of definite microwave component multicarrier micro discharge secondary electron number in microwave regime.
Background technology
Present most of satellite all is operated in multi-carrier mode, and the filter of communication satellite receive-transmit system duplexer is the public passage of signal transmission, and is in high resonance condition, has multi-carrier signal the excitation analysis and the design problem of micro discharge down.
The analysis of multicarrier micro discharge is different from the most important difference of single carrier situation and is that the amplitude of pumping signal is not constant, is along with the difference of initial phase is fast-changing in time.Number of electrons is not a monotone variation in time in the Space Microwave parts, and the secondary electron accumulation curve is prone to bigger shake, has seriously disturbed the quantitative analysis of micro discharge threshold value.
It is theoretical to carry out multicarrier micro discharge design main basis at present and be P20, promptly adopts the equivalent voltage of transmission signals to carry out Component Design as single-carrier signal, and takes the simple signal checking that experimentizes.Domestic and international research shows, exists serious parts to cross design problem based on the P20 theory, and experimental verification verifies just also whether the single carrier design is reasonable.Along with the further raising of amplitude on the star, and the further demand that on fixed platform, improves load proportion, micro discharge analysis of multicarrier microwave component and miniaturization Design have been proposed requirements at the higher level.
Summary of the invention
Technology of the present invention is dealt with problems and is: overcome the deficiency of prior art, a kind of method of definite multicarrier micro discharge secondary electron number is provided, can on limited sample basis, obtain the secondary electron number characteristic of any multicarrier composite signal.
Technical solution of the present invention is: a kind of method of definite multicarrier micro discharge secondary electron number, and step is following:
(1) the identical single-carrier signal of employing amplitude difference but frequency is calculated different excitation signal and is made the secondary electron number in the time spent microwave component to be analyzed as pumping signal; Described frequency is the minimum frequency f in the multi-carrier signal to be analyzed
Min, the corresponding angles frequency is ω
Min
(2) the secondary electron number that step (1) is obtained carries out Mathematical treatment, and the corresponding relation between electron gain cumulative speed and the pumping signal amplitude obtains the electronics cumulative speed curve that different excitation signal is done the time spent thus;
(3) multi-carrier signal to be analyzed synthesized obtain the multicarrier composite signal, and dispersing zero point, since 0 constantly, note multicarrier composite signal i zero point time corresponding be t
i, i=0,1,2...N, t
N≤t
s, t
sBe multicarrier micro discharge analysis time; Described multicarrier composite signal adopts expression formula
Describe, wherein m is the carrier number of multicarrier, a
jBe the amplitude of j road carrier wave, ω
jBe the angular frequency of j road carrier wave,
Be the initial phase of j road carrier wave, j=1,2,3......m, t are time variable, and V (t) is the amplitude of multicarrier composite signal;
(4) choose from time t
N-1To t
nMulticarrier composite signal between two zero points, n=1,2...N is with t
N-1To t
nNumber of electrons cumulative effect equivalence in time under the effect of multicarrier composite signal is that an angular frequency is ω
MinSingle-carrier signal V
nSin (ω
MinT), obtain the amplitude V of equivalent single-carrier signal thus at the exercising result of T/2 in the time
n, T is equivalent single-carrier signal V
nSin (ω
MinT) cycle;
(5) interval for the chronon between per two zero points, utilize the amplitude V of the equivalent single-carrier signal that step (4) obtains
n, search on the electronics cumulative speed curve that in step (2), obtains, obtain amplitude V with equivalent single-carrier signal
nCorresponding electronics cumulative speed v
n, obtain the number of electrons F when each chronon is interval to be finished thus
nSatisfy φ (F
n)=φ (F
N-1)+v
nT/2, wherein F
N-1Number of electrons during for the interval beginning of chronon, F
nNumber of electrons when finishing for chronon is interval, φ is the Mathematical treatment function in the step (2);
(6) result to step (5) adds up, and obtains microwave component to be analyzed thus and encourages t of following time at the multicarrier composite signal
iThe time secondary electron number F
i, i=0,1,2...N.
Described equivalent single-carrier signal the energy of T/2 in the time equate with the energy of multi-carrier signal in calculating the subinterval or signal amplitude equal to the integration of time.
The amplitude V of described equivalent single-carrier signal
nCorresponding electronics cumulative speed v
nObtain described initiating electron number F through interpolation
0For greater than 0 integer.
Described Mathematical treatment is for asking for electronics cumulative number purpose logarithm.
The present invention's advantage compared with prior art is: the inventive method is the basis with secondary electron accumulation curve under the single-carrier signal excitation; Adopt different multi-carrier signals constantly single-carrier signal to be similar to; Carry out the cumulative analysis of secondary electron; Thereby obtain the secondary electron number under the excitation of particular phases multi-carrier signal, can be used for analyzing microwave component multicarrier micro discharge threshold value.Utilize the inventive method; Can obtain number of electrons accumulation curve in the multi-carrier signal excitation microwave component fast; Multicarrier microwave component micro discharge worst-status can't be confirmed at present; Microwave component extensively exists micro discharge to cross design problem, the invention provides multi-carrier signal excitation definite method of the interior number of electrons of microwave component down, on limited sample basis, can obtain the number of electrons characteristic of any multicarrier composite signal; Solved the problem that the micro discharge worst-status is analyzed, actual application value has been arranged.
Description of drawings
Fig. 1 is the FB(flow block) of the inventive method;
Fig. 2 is the simulation object sketch map in the embodiment of the invention;
Fig. 3 is number of electrons when different amplitude single-carrier signal encourage in the embodiment of the invention;
Fig. 4 is a number of electrons (logarithmic form) when different amplitude single-carrier signal encourage in the embodiment of the invention;
Fig. 5 is the rate of rise of electronics during different amplitude in the embodiment of the invention;
Fig. 6 is that PHASE DISTRIBUTION is the multicarrier composite signal sketch map of [0 °, 75 °, 150 °, 75 °, 0 °] in the embodiment of the invention;
Fig. 7 is the particle simulation result and the comparison diagram as a result that adopts the inventive method to obtain when PHASE DISTRIBUTION is for [0 °, 75 °, 150 °, 75 °, 0 °] multi-carrier signal excitation in the embodiment of the invention.
Embodiment
As shown in Figure 1, be the flow chart of the inventive method, its key step is following:
(1) adopts the minimum frequency in the multicarrier to be analyzed to structure to be analyzed (arbitrary shape microwave component); Single-carrier signal with different amplitudes is carried out particle simulation (PIC Particle-in-cell) or approximate calculation as pumping signal, obtains the secondary electron number under the different amplitude single-carrier signal excitations.
(2) the secondary electron number that obtains step (1) adopts Mathematical treatment (handling like logarithm), electron gain cumulative speed and single-carrier signal amplitude v
nBetween relation.
The cumulative speed of electronics is added up when (3) encouraging unlike signal amplitude single-carrier signal, the electronics cumulative speed curve when obtaining different single-carrier signal amplitude.
(4) the multicarrier composite signal does
Wherein m is the carrier number of multicarrier, a
jBe the amplitude of j road carrier wave, ω
jBe the angular frequency of j road carrier wave,
Be the initial phase of j road carrier wave, j=1,2,3......m will synthesize multi-carrier signal dispersing zero point, since 0 constantly, note multicarrier composite signal i zero point time corresponding be t
i, i=0,1,2...N, N satisfies t
N≤t
s, t
sBe multicarrier micro discharge analysis time, adopt following steps to superpose:
(4.1) n=1; The initiating electron number of setting for 0 moment is F
0(arbitrary integer) greater than 0;
(4.2) t
N-1Number of electrons is F constantly
N-1, for time t
N-1To t
nInterior multicarrier composite signal is confirmed its single-carrier signal sin (ω
MinT) equivalent amplitude V
n
(4.3) with time t
N-1To t
nThe equivalent amplitude V of interior multi-carrier signal
nAs the single-carrier signal amplitude, check in corresponding electronics cumulative speed v at step (3) gained electronics cumulative speed curve
n, t constantly then
nNumber of electrons F
nSatisfy φ (F
n)=φ (F
N-1)+v
nT/2, wherein T is single-carrier signal sin (ω
MinT) in cycle, record is the number of electrons F of n constantly
n
(4.4) n=n+1 forwards step (5) to when n >=N, circulate otherwise change (4.2) over to;
(5) be t to institute's length analysis time
sThe multicarrier composite signal, can obtain time t in the microwave component
iThe time secondary electron number F
i, i=0,1,2...N.
Embodiment
(1) adopt 5 road carrier waves to implement to 1mm thickness parallel plate structure as shown in Figure 2,5 tunnel carrier frequencies are respectively f1=1GHz, f2=1.04GHz, f3=1.08GHz, f4=1.12GHz and f5=1.16GHz, carrier amplitude a
1=a
2=a
3=a
4=a
5=18V, the initial phase of 5 road carrier waves is respectively
Minimum frequency f wherein
Min=1GHz carries out particle simulation (PIC Particle-in-cell) with the single-carrier signal of different amplitudes as pumping signal, obtains the electronics accumulation number under the different amplitude single-carrier signal excitations.Simulation result is as shown in Figure 3.
(2) number of electrons that obtains for the first step adopts Mathematical treatment, and the electron gain number is trend over time.Here mathematical function is specially φ (F
n)=log10 (F
n).As shown in Figure 4, can electron gain cumulative speed and signal amplitude v
nBetween relation.
(3) add up the cumulative speed of electronics under the unlike signal amplitude, obtain electronics cumulative speed curve under the different amplitudes.For the 1mm thickness parallel-plate structure of front, single carrier is f
MinThe time, pairing electronics cumulative speed is as shown in Figure 5 under the different single carrier amplitudes.The longitudinal axis is represented cumulative speed, and transverse axis is the single-carrier signal amplitude, and when speed was negative, the number of electrons in the parallel-plate reduced; Speed is correct time, and the number of electrons in the parallel-plate structure will increase.
(4) pass through
Obtain the multicarrier composite signal, m=5 wherein, a
jBe the amplitude of j road carrier wave, ω
j=2 π f
jBe the angular frequency of j road carrier wave,
Be the initial phase of j road carrier wave, j=1,2,3......m will synthesize multi-carrier signal dispersing zero point, since 0 constantly, note multicarrier composite signal i zero point time corresponding be t
i, i=0,1,2...N, N satisfies t
N≤t
s, t
s=50ns, adopt following steps to superpose:
(4.1) initialization n=1, initiating electron number F
0=1000
(4.2) t
N-1Number of electrons is F constantly
N-1For time t
N-1To t
nIn, definition
If the voltage amplitude of equivalent single-carrier signal is V
n, the amplitude of equivalent single-carrier signal should satisfy:
Then equivalent voltage is V
n=P
nω
Min/ 2, adopt signal amplitude to the next equivalence of the integration of time here.
(4.3) then with time t
N-1To t
nInterior signal equivalence amplitude checks in corresponding electronics cumulative speed v this moment as the single carrier amplitude at step (3) gained electronics cumulative speed curve
n, then constantly the number of electrons during n is F
nSatisfy log
10(F
n)=log
10(F
N-1)+(v
n* T/2).
(4.4) n=n+1 forwards step (5) to when n >=N, circulate otherwise change (4.2) over to;
(5) obtain time t
iThe time electronics accumulation number F
i, i=0,1,2...N.
The computational methods of secondary electron number can obtain unlike signal excitation electronics accumulation number down fast in the computer memory microwave component that employing the present invention proposes; Fig. 6 is the multicarrier composite signal in the present embodiment; Transverse axis is the time, and the longitudinal axis is the amplitude of composite signal, and generated time is 50ns; Fig. 7 for initial phase be [0 °, 75 °, 150 °; 75 °; 0 °] multicarrier composite signal when excitation, adopts gained secondary electron number of the present invention (approximate calculation result among the figure) consistent with the number (simulation result among the figure) of employing particle simulation emulation acquisition, transverse axis is the time; The secondary electron number of the longitudinal axis for adopting logarithm to handle, multicarrier micro discharge t analysis time
s=50ns.Relatively can find out secondary electron number in microwave component when the inventive method can be confirmed the multi-carrier signal excitation.
The content of not doing to describe in detail in the specification of the present invention belongs to those skilled in the art's known technology.
Claims (3)
1. the method for a definite multicarrier micro discharge secondary electron number is characterized in that step is following:
(1) the identical single-carrier signal of employing amplitude difference but frequency is calculated different excitation signal and is made the secondary electron number in the time spent microwave component to be analyzed as pumping signal; Described frequency is the minimum frequency f in the multi-carrier signal to be analyzed
Min, the corresponding angles frequency is ω
Min
(2) the secondary electron number that step (1) is obtained carries out Mathematical treatment, and the corresponding relation between electron gain cumulative speed and the pumping signal amplitude obtains the electronics cumulative speed curve that different excitation signal is done the time spent thus;
(3) multi-carrier signal to be analyzed synthesized obtain the multicarrier composite signal, and dispersing zero point, since 0 constantly, note multicarrier composite signal i zero point time corresponding be t
i, i=0,1,2...N, t
N≤t
s, t
sBe multicarrier micro discharge analysis time; Described multicarrier composite signal adopts expression formula
Describe, wherein m is the carrier number of multicarrier, a
jBe the amplitude of j road carrier wave, ω
jBe the angular frequency of j road carrier wave,
Be the initial phase of j road carrier wave, j=1,2,3......m, t are time variable, and V (t) is the amplitude of multicarrier composite signal;
(4) choose from time t
N-1To t
nMulticarrier composite signal between two zero points, n=1,2...N is with t
N-1To t
nNumber of electrons cumulative effect equivalence in time under the effect of multicarrier composite signal is that an angular frequency is ω
MinSingle-carrier signal V
nSin (ω
MinT), obtain the amplitude V of equivalent single-carrier signal thus at the exercising result of T/2 in the time
n, T is equivalent single-carrier signal V
nSin (ω
MinT) cycle;
(5) interval for the chronon between per two zero points, utilize the amplitude V of the equivalent single-carrier signal that step (4) obtains
n, search on the electronics cumulative speed curve that in step (2), obtains, obtain amplitude V with equivalent single-carrier signal
nCorresponding electronics cumulative speed v
n, obtain the number of electrons F when each chronon is interval to be finished thus
nSatisfy φ (F
n)=φ (F
N-1)+v
nT/2, wherein F
N-1Number of electrons during for the interval beginning of chronon, F
nNumber of electrons when finishing for chronon is interval, φ is the Mathematical treatment function in the step (2);
(6) result to step (5) adds up, and obtains microwave component to be analyzed thus and encourages t of following time at the multicarrier composite signal
iThe time secondary electron number F
i, i=0,1,2...N.
2. the method for a kind of definite multicarrier micro discharge secondary electron number according to claim 1 is characterized in that: described equivalent single-carrier signal the energy of T/2 in the time equate with the energy of multi-carrier signal in calculating the subinterval or signal amplitude equal to the integration of time.
3. the method for a kind of definite multicarrier micro discharge secondary electron number according to claim 1 is characterized in that: the amplitude V of described equivalent single-carrier signal
nCorresponding electronics cumulative speed v
nObtain described initiating electron number F through interpolation
0For greater than 0 integer.
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| CN105072076A (en) * | 2015-08-21 | 2015-11-18 | 西安空间无线电技术研究所 | Method for determining worst multi-carrier microdischarge state of microwave component |
| CN108375703A (en) * | 2017-01-31 | 2018-08-07 | 罗德施瓦兹两合股份有限公司 | Test system for executing micro discharge test to equipment under test and the method for testing equipment under test |
| CN111487464A (en) * | 2020-04-29 | 2020-08-04 | 华南师范大学 | Multi-carrier micro-discharge effect frequency spectrum characteristic analysis method |
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| CN104091050A (en) * | 2014-06-24 | 2014-10-08 | 西安空间无线电技术研究所 | Method for determining number of multi-carrier microdischarge secondary electrons distributed in inhomogeneous field |
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| CN105069206A (en) * | 2015-07-24 | 2015-11-18 | 西安空间无线电技术研究所 | Method for determining passive inter-modulation product of microwave part |
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| CN105069247A (en) * | 2015-08-21 | 2015-11-18 | 西安空间无线电技术研究所 | Time domain finite difference based microwave part passive inter-modulation numerical analysis method |
| CN105072076A (en) * | 2015-08-21 | 2015-11-18 | 西安空间无线电技术研究所 | Method for determining worst multi-carrier microdischarge state of microwave component |
| CN105069247B (en) * | 2015-08-21 | 2018-05-01 | 西安空间无线电技术研究所 | A kind of microwave component passive intermodulation numerical analysis method based on Fdtd Method |
| CN105072076B (en) * | 2015-08-21 | 2018-06-01 | 西安空间无线电技术研究所 | A kind of method of definite microwave component multicarrier micro discharge worst-status |
| CN108375703A (en) * | 2017-01-31 | 2018-08-07 | 罗德施瓦兹两合股份有限公司 | Test system for executing micro discharge test to equipment under test and the method for testing equipment under test |
| CN108375703B (en) * | 2017-01-31 | 2022-04-19 | 罗德施瓦兹两合股份有限公司 | Test system for performing microdischarge tests on a device under test and method for testing a device under test |
| CN111487464A (en) * | 2020-04-29 | 2020-08-04 | 华南师范大学 | Multi-carrier micro-discharge effect frequency spectrum characteristic analysis method |
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