CN107731330A - A kind of noise cancellation method suitable for rhodium self-powered detector - Google Patents
A kind of noise cancellation method suitable for rhodium self-powered detector Download PDFInfo
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- CN107731330A CN107731330A CN201710959128.4A CN201710959128A CN107731330A CN 107731330 A CN107731330 A CN 107731330A CN 201710959128 A CN201710959128 A CN 201710959128A CN 107731330 A CN107731330 A CN 107731330A
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- G—PHYSICS
- G21—NUCLEAR PHYSICS; NUCLEAR ENGINEERING
- G21C—NUCLEAR REACTORS
- G21C17/00—Monitoring; Testing ; Maintaining
- G21C17/10—Structural combination of fuel element, control rod, reactor core, or moderator structure with sensitive instruments, e.g. for measuring radioactivity, strain
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- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
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Abstract
The problem of the invention discloses a kind of noise cancellation method suitable for rhodium self-powered detector, solves existing algorithm and is not suitable for the larger lower power levels of signal noise, and occasional produces spike noise in the convergence process of range switching.The invention discloses a kind of noise cancellation method suitable for rhodium self-powered detector, is specially：The digital filter H (z) that low pass is added in rhodium self-powered detector carries out the elimination of noise in signal, or before rhodium self-powered detector carries out delay elimination, the elimination of noise in signal is carried out using the digital filter H (z) of low pass.The present invention can not only improve power measurement lower limit, additionally it is possible to eliminate the spike noise that automatic range switching is brought, effectively improve its signal to noise ratio in lower power levels output current, and then improve the availability of the current signal after delay elimination under lower power levels.
Description
Technical field
The present invention relates to the process field of nuclear power plant's rhodium self-powered detector signal, and in particular to it is self-supporting that one kind is applied to rhodium
The noise cancellation method of energy detector.
Background technology
With the raising of reactor design requirement, reactor core neutron flux measurement technology is from original portable neutron detector
Offline discontinuous measurement pattern is to fixed self-powered detector On-line sampling system mode development.And self-powered detector is launched
Body material mainly includes rhodium, vanadium etc., have it is simple and reliable for structure, the advantages that at high temperature working and need not bias.
But because rhodium self-powered detector decay period is longer, result in its change response time to neutron flux compares
Long (about hundreds of seconds), its current signal is set to export the smaller and response time long.However, in order to monitor reactor fortune in real time
OK, it is desirable to the response speed having quickly of self-powered detector.Therefore, before physical computing is carried out using detector signal,
Need to carry out it processing such as signal amplification and delay elimination.
At present, the delay of use disappears algorithm, the amplification for the noise that invariably accompanies, so the algorithm is only applicable to high power water
Flat (external experience 30%FP-120%FP), is not suitable for the larger lower power levels of signal noise.Simultaneously as self-supporting can visit
The amplifying technique for surveying device uses automatic range switching method, and occasional produces spike noise in the convergence process of range switching.
The content of the invention
The technical problems to be solved by the invention are：Existing algorithm is not suitable for the larger lower power levels of signal noise,
And the problem of occasional produces spike noise in the convergence process of range switching, and it is an object of the present invention to provide it is a kind of be applied to rhodium from
To the noise cancellation method of energy detector, it can not only improve power measurement lower limit, additionally it is possible to eliminate automatic range switching band
The spike noise come, its signal to noise ratio in lower power levels output current is effectively improved, and then improved downward in lower power levels
When eliminate after current signal availability.
The present invention is achieved through the following technical solutions：
A kind of noise cancellation method suitable for rhodium self-powered detector, the number of low pass is added in rhodium self-powered detector
Word wave filter H (z) carries out the elimination of noise in signal.
Further, before rhodium self-powered detector carries out delay elimination, carried out using the digital filter H (z) of low pass
The elimination of noise in signal.
The present invention is analyzed noise Producing reason in rhodium self-powered detector, and concrete analysis process is as follows：
In rhodium self-powered detector main current generation process be emitter material rhodium (45Rh103) radiated with neutron
Capture reaction (n, γ), produce45Rh104With45Rh104m,45Rh104mFurther decay and be45Rh104, and then carrying out45Rh104's
Electronics is produced in β decays, electronics is collected by collection body, then just generates electric current, rhodium (100%45Rh103) nuclear reaction signal
Figure is as shown in Figure 1.
Rhodium and the physical model of thermal neutron nuclear reaction, it would be desirable to describe it with mathematical modeling.Make m1(t)、m2(t) divide
Rh in detector is not represented104And Rh104mAmount；λ1、λ2Rh is represented respectively104And Rh104mDecay coefficient, wherein, λ1=
ln2/42.3s-1=0.016386s-1, λ2=ln2/4.34/60s-1=0.00266186s-1；N (t) is represented at detector (heat)
Netron-flux density；a1、a2Represent respectively104Rh and104mThe thermal cross section of Rh reactors；K is capture of the detector to neutron
Efficiency；I (t) represents self-powered detector output current.
Consider Rh104mAmount m2(t) dynamic change,45Rh103Produced with capture neutron45Rh104m, and45Rh104mEnter
One step decays45Rh104, so having
Consider Rh104Amount m1(t) dynamic change,45Rh103Produced with capture neutron45Rh104,45Rh104mDecay production
It is raw45Rh104, and45Rh104Further decay and produce electronics, so having
Consider the electric current ultimately formed,45Rh104Decay and produce electronics and form electric current, detector is instantaneous in neutron field
Reaction, Compton electron is generated, phase induced current is formed, so having
I (t)=cn (t)+λ1m1(t) (3)
Wherein, c is the transient current coefficient of detector.
Formula (1), formula (2) and formula (3) have been presented for the differential equation group of description system, but if to describe after being abstracted
Linear system by differential equation group, it is necessary to be integrated into a differential equation.First differential equation group is become by laplace transform
S domains are changed to, are had
M2(s) s=ka2N(s)-λ2M2(s) (4)
M1(s) s=ka1N(s)+λ2M2(s)-λ1M1(s) (5)
I (s)=cN (s)+λ1M1(s) (6)
Wherein, M1(s), M2(s), N (s) and I (s) is respectively m1(t), m2(t), n (t) and i (t) s is converted.By formula (4)
Change is got in return
Formula (7) is brought into formula (5), and does corresponding conversion, is had
Formula (8) is brought into formula (6), had
Formula (9) is to describe the S function of netron-flux density and current relationship, and the S function completely intuitively describes rhodium
The linear system of self-powered detector.Wherein I (s) is the electric current of detector output, and N (s) is pile neutron flux, can be
It is considered as the electric current after delay eliminates, therefore obtains delay elimination model and be：
Above-mentioned formula (10) is the s domain models of delay elimination algorithm, and its Bode diagram is as shown in Figure 2.Pass through the baud shown in Fig. 2
Figure is as can be seen that the delay of rhodium self-powered detector eliminates the high way system that model is a cut-off frequency extremely low (about 0.01Hz).
In high frequency treatment, its amplitude response is about 24.4dB, high-pass equipment 0.01Hz.Therefore, the spectrum component of white Gaussian noise about 99% is all logical
The high-pass filter is crossed, most of noise signal all eliminates model by being delayed, and noise amplitude is exaggerated.
To eliminate most of noise of signal, the present invention utilizes data signal according to rhodium self-powered detector frequency domain characteristic
The technology of processing, devise a kind of noise cancellation method suitable for all rhodium self-powered detectors, i.e. in delay elimination
Before, the elimination of noise in signal is carried out using the digital filter H (z) of low pass, electricity is exported in lower power levels so as to improve it
The signal to noise ratio of stream, ensure the availability of current signal under low power conditions.
Further, by taking Butterworth lowpass filters as an example, digital filter H (z) of the invention is obtained by following algorithms
：
The amplitude response of Butterworth lowpass filters is all flat, square of its amplitude response in its passband and stopband
For：
Wherein, N is the exponent number of wave filter, ΩcFor by frequency；
Obtain Butterworth lowpass filters algorithm, it is necessary first to which system function H is obtained according to the index of its wave filter
(s), then digitized according to the sampling period, you can it is required that digital filter H (z).
To determine the system function H (s) of Butterworth lowpass filters, (11) can be write as：
The root P of denominator polynomials is can obtain by formula (12)k, i.e. the root of H (s) H (- s) limit,
By the root P for the limit obtainedkThe system function that can obtain H (s) is：
Pass through formula shown in formula (11)：
As Ω=Ω p,
As Ω=Ω s,
Wherein, Ω p are cut-off frequecy of passband, Rp is passband ripple, Ω s are stopband cut-off frequency, and As is stopband ripple；Will
Cut-off frequecy of passband Ω p, passband ripple Rp, stopband cut-off frequency substitute into formula (15) and formula (16) institute for Ω s and stopband ripple As
Show formula, you can ask for digital filter H (z) cut-off frequency Ω c and exponent number N.
Also, the cut-off frequency Ω c by that will ask for and exponent number N substitute into formula shown in formula (13), the root P of limit is asked fork；
By PkValue substitute into formula shown in formula (14), obtain H (s) system function, and by the way that H (s) discretizations are obtained into digital filtering
Device H (z).
Preferably, the cut-off frequency Ω of the Butterworth lowpass filterspIt is for 0.01Hz, passband ripple Rp
0.78dB, stopband are 0.1Hz by frequency omega s, and when stopband ripple As is 24.4dB, the digital filter H (z) of acquisition is：
The present invention compared with prior art, has the following advantages and advantages：
1st, digital filter of the invention not only improves the measurement lower limit of In-core Instrumentation neutron measurement system, prolongs from 30%FP
10% is extended, while eliminates spike noise, has reached international most advanced level, ensure that ACP1000 reactor core measuring system signals
Availability and stability, laid a good foundation for stable more preferable monitoring reactor core；
2nd, by the present invention digital filter to rhodium self-powered detector output current carry out denoising, improve its
The signal to noise ratio of lower power levels output current, ensure the accuracy of delay elimination algorithm；
3rd, the present invention can be not only used for ACP1000 reactor core measuring systems, while can be visited available for various types of self-sufficiencies
The noise surveyed under device low power condition eliminates, and the scope of application is more extensive.
Brief description of the drawings
Accompanying drawing described herein is used for providing further understanding the embodiment of the present invention, forms one of the application
Point, do not form the restriction to the embodiment of the present invention.In the accompanying drawings：
Fig. 1 is rhodium (100%45Rh103) nuclear reaction schematic diagram.
Fig. 2 is the Bode diagram that delay shown in formula (10) eliminates model.
Fig. 3 is the frequency characteristic figure of the digital filter H (z) of low pass in the present invention.
Fig. 4 is the current signal comparison diagram for adding no-delay elimination under low power condition before and after digital filter.
Fig. 5 is the current signal comparison diagram after delay elimination under low power condition before and after addition digital filter.
Fig. 6 is the current signal comparison diagram for adding no-delay elimination under high power conditions before and after digital filter.
Fig. 7 is the current signal comparison diagram after delay elimination under high power conditions before and after addition digital filter.
Embodiment
For the object, technical solutions and advantages of the present invention are more clearly understood, with reference to embodiment and accompanying drawing, to this
Invention is described in further detail, and exemplary embodiment of the invention and its explanation are only used for explaining the present invention, do not make
For limitation of the invention.
Embodiment
A kind of noise cancellation method suitable for rhodium self-powered detector, specifically include：
The digital filter H (z) of low pass model is built,
Using digital filter H of the classical low pass filter-Butterworth lowpass filters as the low pass in the present invention
(z), by by cut-off frequecy of passband Ω p, passband ripple Rp, stopband cut-off frequency of Butterworth lowpass filters be Ω s and
Stopband ripple As substitutes into formula (15) and (16), calculates cut-off frequency Ω c and exponent number N.Ω in the present embodimentp =0.01Hz, Rp=
0.78dB, Ωs =0.1Hz, As=24.4dB, N=1 the and Ω c=0.226 being calculated.
H (s) H (- s) limit is obtained by N the and Ω c being calculated, then obtains its system function H (s), and pass through by
H (s) discretizations (sampling period takes 0.1s), you can obtain digital filter H (z)：
In the rhodium self-powered detector that the digital filter H (z) that the present embodiment obtains is applied to, with ACP1000 reactor cores
Exemplified by measuring system, by being tested on real reaction heap, the tool under low-power and high power conditions is separately verified
Body filter effect.
Under low power conditions：
Reactor capability rises to 10%FP from 1%FP, during no-delay elimination, the electric current letter that adds before and after digital filter
Number contrast is as shown in Figure 4；After delay eliminates, the current signal contrast before and after addition digital filter is as shown in Figure 5.
As seen from Figure 4, the current signal of delay elimination algorithm, after digital filtering, the width of its noise are not added
About 4 times are reduced before value and the filtering of frequency ratio.As seen from Figure 5, the current signal of delay elimination algorithm is added, is filtered by numeral
After ripple, about 4 times of diminution before the Amplitude Ration filtering of its noise, frequency reduces about 5 times.Substantially eliminated after adding digital filtering simultaneously
The caused spike noise of range switching moment, therefore, the digital filter designed herein can be eliminated in low power condition
Under noise and the caused spike noise of range switching moment, and positive effect.
Under high power conditions：
Reactor shutdown after 100%FP stable one end times, during no-delay elimination, the electricity that adds before and after digital filter
It is as shown in Figure 6 to flow signal contrast；After delay eliminates, the current signal contrast before and after addition digital filter is as shown in Figure 7.
As seen from Figure 6, the current signal of delay elimination algorithm, after digital filtering, the width of its noise are not added
About 2 times are reduced before value and the filtering of frequency ratio.As seen from Figure 7, the current signal of delay elimination algorithm is added, is filtered by numeral
After ripple, the amplitude and frequency of its noise are than about 2 times of the diminution before filtering.Range switching wink is substantially eliminated after adding digital filtering
Between caused spike noise.Therefore, the digital filter designed herein can also eliminate noise under high power conditions and
Range switches the caused spike noise of moment.
The analysis checking more than as can be seen that the present invention in optimization design a kind of digital filter H (z), it is not only
The measurement lower limit of In-core Instrumentation neutron measurement system is improved, original 30%FP is extended to 10%, while eliminate spike and make an uproar
Sound, international most advanced level is reached, ensure that the availability and stability of ACP1000 reactor core measuring system signals, for stabilization more
Monitoring reactor core is laid a good foundation well.
The present invention, using the technology of Digital Signal Processing, devises a kind of number according to rhodium self-powered detector frequency domain characteristic
Word wave filter carries out denoising to rhodium self-powered detector output current, improves its noise in lower power levels output current
Than the accuracy of guarantee delay elimination algorithm.The digital filter of the present invention, can be not only used for ACP1000 In-core Instrumentations system
System, while eliminated available for the noise under various types of self-powered detector low power conditions.
Above-described embodiment, the purpose of the present invention, technical scheme and beneficial effect are carried out further
Describe in detail, should be understood that the embodiment that the foregoing is only the present invention, be not intended to limit the present invention
Protection domain, within the spirit and principles of the invention, any modification, equivalent substitution and improvements done etc., all should include
Within protection scope of the present invention.
Claims (5)
1. a kind of noise cancellation method suitable for rhodium self-powered detector, it is characterised in that add in rhodium self-powered detector
The digital filter H (z) for entering low pass carries out the elimination of noise in signal.
A kind of 2. noise cancellation method suitable for rhodium self-powered detector according to claim 3, it is characterised in that
Before rhodium self-powered detector carries out delay elimination, the elimination of noise in signal is carried out using the digital filter H (z) of low pass.
3. a kind of noise cancellation method suitable for rhodium self-powered detector according to claim 1 or 2, its feature exist
In the digital filter H (z) of the low pass uses Butterworth lowpass filters.
A kind of 4. noise cancellation method suitable for rhodium self-powered detector according to claim 3, it is characterised in that institute
The digital filter H (z) for stating low pass is obtained using following algorithms：
Formula according to formula (11) obtains formula (13), formula (15) and formula shown in formula (16),
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Wherein, formula (13) is the root of H (s) H (- s) limit after formula (11) changes, and Ω p are cut-off frequecy of passband, Rp is passband ripple
Line, Ω s are stopband cut-off frequency, As is stopband ripple, Ω c are cut-off frequency, N is exponent number, and Ω p, Rp, Ω s and As are substituted into
Formula shown in formula (15) and formula (16), digital filter H (z) Ω c and N are asked for,
The Ω c and N that ask for are substituted into formula shown in formula (13), ask for the root P of limitk, by PkFormula shown in substitution formula (14), is obtained
H (s) system function is obtained,
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By the way that H (s) discretizations can be obtained into digital filter H (z).
A kind of 5. noise cancellation method suitable for rhodium self-powered detector according to claim 4, it is characterised in that institute
State digital filter H (z) and use Butterworth lowpass filters, the cut-off frequency Ω of the Butterworth lowpass filterspFor
0.01Hz, passband ripple Rp are 0.78dB, stopband by frequency omegasWhen for 0.1Hz, stopband ripple As being 24.4dB, acquisition
Digital filter H (z) is：
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109903867A (en) * | 2019-02-28 | 2019-06-18 | 西安交通大学 | A kind of method that circuit composition and its parameter are eliminated in determining self-power neutron detector delay |
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