CN113204230B - Online measurement method for high-frequency noise power gain of sliding window tracking differentiator - Google Patents
Online measurement method for high-frequency noise power gain of sliding window tracking differentiator Download PDFInfo
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Abstract
The invention provides an online measurement method and system for high-frequency noise power gain of a sliding window tracking differentiator, which utilize noise interference signals contained in signals, for example, noise interference signals generally contained in actual process signals, extract high-frequency noise signals in output signals of the sliding window tracking differentiator through a first high-pass filter, and extract high-frequency noise signals in input signals of the sliding window tracking differentiator through a second high-pass filter. And obtaining a calculation result of the high-frequency noise power gain of the sliding window tracking differentiator through a series of calculations of the high-frequency noise signal in the output signal of the sliding window tracking differentiator and the high-frequency noise signal in the input signal of the sliding window tracking differentiator. The obvious characteristics are that: the method can continuously provide the online measurement result of the high-frequency noise power gain of the sliding window tracking differentiator, and has better significance for guiding the online adjustment of the parameters of the sliding window tracking differentiator.
Description
Technical Field
The invention relates to the technical field of process control of thermal power generating units, in particular to an online measurement method and system for high-frequency noise power gain of a sliding window tracking differentiator.
Background
In the field of thermal power unit process control, advance information of process response can be acquired by using the advance observer, and the advance observer has important significance for improving process control performance. The advanced observation may be in various forms, such as a Differentiator (D), a Second Order Inertial Inverse Model (SOIIM), a Proportional-Derivative (PD) controller, and the like.
In 2019, the "automatic journal" published a paper in the national knowledge network with priority "research and application similar to an integrator and a sliding window tracking differentiator" is simply referred to as "the literature". The document discloses a Sliding Window Tracking Differentiator (SWTD). The sliding window tracking differentiator improves the performance of the differentiator and has important significance for improving the process control performance.
However, the sliding window tracking differentiator has a problem of amplifying High frequency noise interference, and when the noise interference level is High, for example, the High Frequency Noise Power Gain (HFNPG) is High, the sliding window tracking differentiator may cause serious interference to the output signal of the sliding window tracking differentiator, and even cause the sliding window tracking differentiator to fail to work normally. In order to fully utilize the advantages of the sliding window tracking differentiator in process control and control the output of the sliding window tracking differentiator at a lower noise interference level, firstly, the problem of online measurement of the high-frequency noise power gain of the sliding window tracking differentiator needs to be solved.
Disclosure of Invention
In view of the above problems, the present invention provides an online measurement method and system for high frequency noise power gain of a sliding window tracking differentiator, which utilize noise interference signals contained in signals, for example, noise interference signals generally contained in actual process signals, to continuously provide the online measurement result of the high frequency noise power gain of the sliding window tracking differentiator, which has a good meaning for guiding the online adjustment of parameters of the sliding window tracking differentiator, and has no influence on the online operation of the sliding window tracking differentiator. The noise signal included in the actual process response signal, for example, the actual process response signal, after being converted from analog to digital, naturally includes a random quantization noise signal.
The first aspect of the present invention provides an online measurement method for high-frequency noise power gain of a sliding window tracking differentiator, comprising:
acquiring input signals of a sliding window tracking differentiator, dividing the input signals of the sliding window tracking differentiator into two groups, inputting one group of the input signals into the sliding window tracking differentiator to obtain output signals of the sliding window tracking differentiator, and inputting the other group of the input signals serving as input signals of a second high-pass filter into the second high-pass filter to obtain output signals of the second high-pass filter;
The output signal of the sliding window tracking differentiator is used as the input signal of a first high-pass filter and is input into the first high-pass filter, and the output signal of the first high-pass filter is obtained;
and inputting the output signal of the first high-pass filter and the output signal of the second high-pass filter into a high-frequency noise power gain calculation module to obtain the high-frequency noise power gain of the sliding window tracking differentiator.
Further, the inputting the first high-pass filter output signal and the second high-pass filter output signal to a high-frequency noise power gain calculation module to obtain a high-frequency noise power gain of the sliding window tracking differentiator includes:
the output signal of the first high-pass filter is connected to the input end of a first square operation module, and a first square operation signal is obtained at the output end of the first square operation module;
connecting the output signal of the first high-pass filter to the input end of a first pure lag module, and obtaining a first pure lag signal at the output end of the first pure lag module;
the first pure lag signal is connected to the input end of a second square operation module, and a second square operation signal is obtained at the output end of the second square operation module;
The first square operation signal is accessed to the addition input end of a first algebraic operation module, the second square operation signal is accessed to the subtraction input end of the first algebraic operation module, and a first algebraic operation signal is obtained at the output end of the first algebraic operation module;
the first integral operation signal is accessed to the input end of a first integral operation module, and a first integral operation signal is obtained at the output end of the first integral operation module;
connecting the output signal of the second high-pass filter to the input end of a third square operation module, and obtaining a third square operation signal at the output end of the third square operation module;
the output signal of the second high-pass filter is connected to the input end of a second pure hysteresis module, and a second pure hysteresis signal is obtained at the output end of the second pure hysteresis module;
the second pure hysteresis signal is accessed to the input end of a fourth square operation module, and a fourth square operation signal is obtained at the output end of the fourth square operation module;
the third square operation signal is accessed to the addition input end of a second algebraic operation module, the fourth square operation signal is accessed to the subtraction input end of the second algebraic operation module, and a second algebraic operation signal is obtained at the output end of the second algebraic operation module;
The second algebraic operation signal is accessed to the input end of a second integral operation module, and a second integral operation signal is obtained at the output end of the second integral operation module;
and accessing the first integral operation signal to a dividend input end of a division operation module, accessing the second integral operation signal to a divisor input end of the division operation module, and obtaining the high-frequency noise power gain of the sliding window tracking differentiator at an output end of the division operation module.
Further, the expression of the high frequency noise power gain of the sliding window tracking differentiator is:
wherein HFNPG (t) tracks the high frequency noise power gain of the differentiator for the sliding window;
HPFS, A (t) is the output signal of the first high-pass filter;
HPFS:A(t-TPL) Is the first pure lag signal;
b (t) is the second high-pass filter output signal;
HPFS:B(t-TPL) Is the second pure lag signal;
TPLis a pure lag time constant for the first pure lag signal and the second pure lag signal.
Further, the sliding window tracking differentiator output signal is input to the first high pass filter as a first high pass filter input signal, so as to obtain a first high pass filter output signal, specifically:
And taking out a high-frequency noise signal in the output signal of the sliding window tracking differentiator as an output signal of a first high-pass filter.
Further, the other group is inputted to the second high-pass filter as a second high-pass filter input signal, and a second high-pass filter output signal is obtained, specifically:
and taking out a high-frequency noise signal in the input signal of the sliding window tracking differentiator as an output signal of a second high-pass filter.
Further, the expressions of the first high-pass filter and the second high-pass filter are respectively:
a(s) is a transfer function of the first high-pass filter;
b(s) is the transfer function of the second high-pass filter;
THPFis a time constant of the first high pass filter and the second high pass filter;
and the first high-pass filter and the second high-pass filter both adopt second-order high-pass filters.
Further, the sliding window tracking differentiator has the expression:
wherein SWTD(s) is a transfer function of a sliding window tracking differentiator;
KGCa gain that is a gain control;
SWF(s) is the transfer function of the sliding window filter;
TSWTDthe time constant of the differentiator is tracked for the sliding window.
The second aspect of the present invention provides an on-line measurement system for high-frequency noise power gain of a sliding window tracking differentiator, comprising:
The sliding window tracking differentiator input signal operation module is used for acquiring a sliding window tracking differentiator input signal and dividing the sliding window tracking differentiator input signal into two groups, wherein one group is input into the sliding window tracking differentiator to obtain a sliding window tracking differentiator output signal, and the other group is input into a second high-pass filter as a second high-pass filter input signal to obtain a second high-pass filter output signal;
the first high-pass filter output signal calculation module is used for inputting the output signal of the sliding window tracking differentiator into a first high-pass filter as a first high-pass filter input signal to obtain a first high-pass filter output signal;
and the high-frequency noise power gain calculation module of the sliding window tracking differentiator is used for inputting the output signal of the first high-pass filter and the output signal of the second high-pass filter into the high-frequency noise power gain calculation module to obtain the high-frequency noise power gain of the sliding window tracking differentiator.
Further, the high frequency noise power gain calculation module of the sliding window tracking differentiator is further configured to:
the output signal of the first high-pass filter is connected to the input end of a first square operation module, and a first square operation signal is obtained at the output end of the first square operation module;
Connecting the output signal of the first high-pass filter to the input end of a first pure lag module, and obtaining a first pure lag signal at the output end of the first pure lag module;
the first pure lag signal is connected to the input end of a second square operation module, and a second square operation signal is obtained at the output end of the second square operation module;
the first square operation signal is accessed to the addition input end of a first algebraic operation module, the second square operation signal is accessed to the subtraction input end of the first algebraic operation module, and a first algebraic operation signal is obtained at the output end of the first algebraic operation module;
the first integral operation signal is accessed to the input end of a first integral operation module, and a first integral operation signal is obtained at the output end of the first integral operation module;
connecting the output signal of the second high-pass filter to the input end of a third square operation module, and obtaining a third square operation signal at the output end of the third square operation module;
connecting the output signal of the second high-pass filter to the input end of a second pure lag module, and obtaining a second pure lag signal at the output end of the second pure lag module;
The second pure lag signal is accessed to the input end of a fourth square operation module, and a fourth square operation signal is obtained at the output end of the fourth square operation module;
the third square operation signal is accessed to the addition input end of a second algebraic operation module, the fourth square operation signal is accessed to the subtraction input end of the second algebraic operation module, and a second algebraic operation signal is obtained at the output end of the second algebraic operation module;
the second algebraic operation signal is accessed to the input end of a second integral operation module, and a second integral operation signal is obtained at the output end of the second integral operation module;
and accessing the first integral operation signal to a dividend input end of a division operation module, accessing the second integral operation signal to a divisor input end of the division operation module, and obtaining the high-frequency noise power gain of the sliding window tracking differentiator at an output end of the division operation module.
Further, the first high-pass filter output signal calculation module is further configured to: taking out a high-frequency noise signal in the output signal of the sliding window tracking differentiator as an output signal of a first high-pass filter;
The sliding window tracking differentiator input signal operation module is further configured to: and taking out a high-frequency noise signal in the input signal of the sliding window tracking differentiator as an output signal of a second high-pass filter.
Compared with the prior art, the embodiment of the invention has the following beneficial effects:
the invention provides an online measurement method and a system for high-frequency noise power gain of a sliding window tracking differentiator. And obtaining a calculation result of the high-frequency noise power gain of the sliding window tracking differentiator through a series of calculations of the high-frequency noise signal in the output signal of the sliding window tracking differentiator and the high-frequency noise signal in the input signal of the sliding window tracking differentiator. The obvious characteristics are that: the method can continuously provide the online measurement result of the high-frequency noise power gain of the sliding window tracking differentiator, and has better significance for guiding the online adjustment of the parameters of the sliding window tracking differentiator. And has no effect on the online operation of the sliding window tracking differentiator, e.g. no noise disturbance excitation needs to be applied to the sliding window tracking differentiator input.
Drawings
In order to more clearly illustrate the technical solution of the present invention, the drawings required to be used in the embodiments will be briefly described below, and obviously, the drawings in the following description are only some embodiments of the present invention, and other drawings can be obtained by those skilled in the art without creative efforts.
Fig. 1 is a flowchart of an online measurement method for high-frequency noise power gain of a sliding window tracking differentiator according to an embodiment of the present invention;
fig. 2 is a schematic structural diagram of an online measurement method and an online measurement device for high-frequency noise power gain of a sliding window tracking differentiator according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a sliding window tracking differentiator provided by one embodiment of the present invention;
fig. 4 is a schematic diagram of a high frequency noise power gain calculation according to an embodiment of the present invention;
FIG. 5 is a graph of the results of a simulation experiment of the sliding window tracking differentiator input signal provided by one embodiment of the present invention;
FIG. 6 is a graph of the results of a simulation experiment of the sliding window tracking differentiator output signal provided in accordance with one embodiment of the present invention;
FIG. 7 is a graph of simulation experiment results of high frequency noise power gain of a sliding window tracking differentiator according to an embodiment of the present invention;
FIG. 8 is a diagram of an apparatus for an online measurement system of high frequency noise power gain of a sliding window tracking differentiator in accordance with one embodiment of the present invention;
fig. 9 is a block diagram of an electronic device according to an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be obtained by a person skilled in the art without inventive step based on the embodiments of the present invention, are within the scope of protection of the present invention.
It should be understood that the step numbers used herein are only for convenience of description and are not used as limitations on the order in which the steps are performed.
It is to be understood that the terminology used in the description of the invention herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used in this specification and the appended claims, the singular forms "a", "an", and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise.
The terms "comprises" and "comprising" indicate the presence of the described features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof.
The term "and/or" refers to and includes any and all possible combinations of one or more of the associated listed items.
The sliding window tracking differentiator has a problem of amplifying High-frequency noise interference, and when the noise interference level is High, for example, the High Frequency Noise Power Gain (HFNPG) is High, serious interference may be caused to the output signal of the sliding window tracking differentiator, and even the sliding window tracking differentiator may not work normally. In order to fully utilize the advantages of the sliding window tracking differentiator in process control and control the output of the sliding window tracking differentiator at a lower noise interference level, the problem of online measurement of the high-frequency noise power gain of the sliding window tracking differentiator needs to be solved. The high frequency noise power gain of the sliding window tracking differentiator represents, to a large extent, the high frequency noise interference level of the sliding window tracking differentiator. And the input signal of the sliding window tracking differentiator to be detected is specifically the response of the reheat steam temperature process of the thermal power generating unit.
A first aspect.
Referring to fig. 1, an embodiment of the invention provides an online measurement method for high frequency noise power gain of a sliding window tracking differentiator, including:
and S10, obtaining input signals of the sliding window tracking differentiator, dividing the input signals of the sliding window tracking differentiator into two groups, inputting one group into the sliding window tracking differentiator to obtain output signals of the sliding window tracking differentiator, and inputting the other group serving as input signals of a second high-pass filter into the second high-pass filter to obtain output signals of the second high-pass filter. The sliding window tracking differentiator is used for advanced observation of reheat steam temperature process response of the thermal power generating unit.
In a specific embodiment, the other group is input to the second high-pass filter as the second high-pass filter input signal, resulting in a second high-pass filter output signal, specifically:
and taking out a high-frequency noise signal in the input signal of the sliding window tracking differentiator as an output signal of a second high-pass filter.
In one embodiment, the sliding window tracking differentiator has the expression:
wherein SWTD(s) is a transfer function of a sliding window tracking differentiator;
KGCa gain that is a gain control;
Swf(s) is the transfer function of the sliding window filter;
TSWTDthe time constant of the differentiator is tracked for the sliding window.
And S20, inputting the output signal of the sliding window tracking differentiator serving as a first high-pass filter input signal into a first high-pass filter to obtain a first high-pass filter output signal.
In a specific embodiment, the sliding window tracking differentiator output signal is input as a first high pass filter input signal to a first high pass filter, resulting in a first high pass filter output signal, specifically:
and taking out a high-frequency noise signal in the output signal of the sliding window tracking differentiator as an output signal of a first high-pass filter.
In another embodiment, the expressions of the first high-pass filter and the second high-pass filter are respectively:
wherein, HPF is A(s) is the transfer function of the first high-pass filter;
b(s) is the transfer function of the second high-pass filter;
THPFis a time constant of the first high pass filter and the second high pass filter;
and the first high-pass filter and the second high-pass filter both adopt second-order high-pass filters.
And S30, inputting the output signal of the first high-pass filter and the output signal of the second high-pass filter into a high-frequency noise power gain calculation module to obtain the high-frequency noise power gain of the sliding window tracking differentiator.
In a specific embodiment, the step S30 includes:
the output signal of the first high-pass filter is connected to the input end of a first square operation module, and a first square operation signal is obtained at the output end of the first square operation module;
connecting the output signal of the first high-pass filter to the input end of a first pure lag module, and obtaining a first pure lag signal at the output end of the first pure lag module;
the first pure lag signal is connected to the input end of a second square operation module, and a second square operation signal is obtained at the output end of the second square operation module;
the first square operation signal is accessed to the addition input end of a first algebraic operation module, the second square operation signal is accessed to the subtraction input end of the first algebraic operation module, and a first algebraic operation signal is obtained at the output end of the first algebraic operation module;
the first integral operation signal is accessed to the input end of a first integral operation module, and a first integral operation signal is obtained at the output end of the first integral operation module;
connecting the output signal of the second high-pass filter to the input end of a third square operation module, and obtaining a third square operation signal at the output end of the third square operation module;
Connecting the output signal of the second high-pass filter to the input end of a second pure lag module, and obtaining a second pure lag signal at the output end of the second pure lag module;
the second pure hysteresis signal is accessed to the input end of a fourth square operation module, and a fourth square operation signal is obtained at the output end of the fourth square operation module;
the third square operation signal is accessed to the addition input end of a second algebraic operation module, the fourth square operation signal is accessed to the subtraction input end of the second algebraic operation module, and a second algebraic operation signal is obtained at the output end of the second algebraic operation module;
the second algebraic operation signal is accessed to the input end of a second integral operation module, and a second integral operation signal is obtained at the output end of the second integral operation module;
and accessing the first integral operation signal to a dividend input end of a division operation module, accessing the second integral operation signal to a divisor input end of the division operation module, and obtaining the high-frequency noise power gain of the sliding window tracking differentiator at an output end of the division operation module.
In one embodiment, the expression of the high frequency noise power gain of the sliding window tracking differentiator is as follows:
Wherein HFNPG (t) tracks the high frequency noise power gain of the differentiator for the sliding window;
HPFS, A (t) is the output signal of the first high-pass filter;
HPFS:A(t-TPL) Is the first pure lag signal;
b (t) is the second high-pass filter output signal;
HPFS:B(t-TPL) Is the second pure lag signal;
TPLis a pure lag time constant for the first pure lag signal and the second pure lag signal.
The invention provides an on-line measurement method for high-frequency noise power gain of a sliding window tracking differentiator, which utilizes noise interference signals contained in signals, for example, noise interference signals generally contained in actual process signals, extracts high-frequency noise signals in output signals of the sliding window tracking differentiator through a first high-pass filter, and extracts high-frequency noise signals in input signals of the sliding window tracking differentiator through a second high-pass filter. And obtaining a calculation result of the high-frequency noise power gain of the sliding window tracking differentiator through a series of calculations of the high-frequency noise signal in the output signal of the sliding window tracking differentiator and the high-frequency noise signal in the input signal of the sliding window tracking differentiator. The obvious characteristics are that: the method can continuously provide the online measurement result of the high-frequency noise power gain of the sliding window tracking differentiator, and has better significance for guiding the online adjustment of the parameters of the sliding window tracking differentiator. And has no effect on the on-line operation of the sliding window tracking differentiator, e.g. without applying noise disturbance excitation to the sliding window tracking differentiator input.
In a specific embodiment, a schematic structure diagram of an online measurement method and an online measurement device for high-frequency noise power gain of a sliding window tracking differentiator is shown in fig. 2.
The sliding window tracking differentiator structure is shown in FIG. 3.
Sliding window tracking differentiator, expressed as
In equation (1), swtd(s) is the transfer function of the sliding window tracking differentiator. KGCIs the Gain of Gain Control (GC), in dimensionless units. SWF(s) is the transfer function of a Sliding Window Filter (SWF). T isSWTDThe time constant of the differentiator is tracked for the sliding window in s.
A high pass filter a and a high pass filter B are constructed.
The High pass filter A (High pass filter of A, HPF: A) and the High pass filter B (High pass filter of B, HPF: B) are
Wherein, A(s) is the transfer function of the high-pass filter A, and B(s) is the transfer function of the high-pass filter B. T isHPFIs the time constant common to the high pass filter a and the high pass filter B, in units of s. The high-pass filter A and the high-pass filter B have the same structure and parameters, and both adopt a Second Order High Pass Filter (SOHPF) form.
The steps for obtaining the high-pass filtered signal are as follows:
1) And (2) connecting the output signal of the sliding window tracking differentiator to the input end of the High-pass filter A, obtaining a High-pass filter signal A (HPFS: A) at the output end of the High-pass filter A, namely, obtaining a High-frequency noise signal in the output signal of the sliding window tracking differentiator, and expressing the High-pass filter signal A by using the HPFS: A (t), wherein the unit is dimensionless.
2) And (2) connecting the input signal of the sliding window tracking differentiator to the input end of the High-pass filter B, obtaining a High-pass filter signal B (HPFS: B) at the output end of the High-pass filter B, namely, obtaining a High-frequency noise signal in the input signal of the sliding window tracking differentiator, and expressing the High-pass filter signal B by using the HPFS: B (t), wherein the unit is dimensionless.
Fig. 4 is a schematic diagram of high-frequency noise power gain calculation.
And accessing the high-pass filtering signal A to an input A for calculating the high-frequency noise power gain, and accessing the high-pass filtering signal B to an input B for calculating the high-frequency noise power gain. And obtaining a calculation result of the high-frequency noise power gain of the high-pass filtering signal A relative to the high-pass filtering signal B through the calculation of the high-frequency noise power gain, and outputting the calculation result of the high-frequency noise power gain at an output end of the calculation of the high-frequency noise power gain.
Calculation of the high frequency noise power gain, expressed as
FIG. 4 is an engineering implementation of equation (3-1), and FIG. 4 is expressed as
Wherein, hfnpg (t) is a calculation result of the high frequency noise power gain, and the unit is dimensionless. HPFS: a (t) is the high pass filtered signal a in dimensionless units. HPFS A (T-T)PL) Is a pure lag signal of the high-pass filtered signal AThe numbers, units are dimensionless. HPFS B (t) is the high pass filtered signal B in dimensionless units. HPFS A (T-T)PL) Is a pure lag signal of the high-pass filtered signal a in dimensionless units. T isPLIs a common pure lag time constant in units of s.
1) The high-pass filtering signal A is connected to the input end of a Square operation A (SO: A), and the Square operation signal A (SOS: A) expressed as A is obtained at the output end of the Square operation A
SOS:A(t)=[HPFS:A(t)]2 (4)
Wherein, A (t) is the square operation signal A, and the unit is dimensionless. HPFS: a (t) is the high pass filtered signal a in dimensionless units.
2) The high-pass filtered signal A is connected to the input end of a Pure Lag C (Pure Lag of C, PL: C), and a Pure Lag signal C (Pure Lag of C, PLS: C) is obtained at the output end of the Pure Lag C
PLS:C(t)=HPFS:A(t-TPL) (5)
Wherein PLS C (t) is the pure hysteresis signal C in dimensionless units. HPFS A (T-T)PL) Is a pure lag signal of the high-pass filtered signal A, TPLIs a common pure lag time constant in units of s.
3) The pure lag signal C is connected to the input end of a Square operation C (SO: C), and the Square operation signal C (SOS: C) expressed as C is obtained at the output end of the Square operation C
SOS:C(t)=[PLS:C(t)]2 (6)
Wherein, SOS, C (t) is the square operation signal C, and the unit is dimensionless. PLS C (t) is the pure hysteresis signal C in dimensionless units.
4) The square operation signal A is connected to the addition input end of an Algebraic operation A (AO: A), the square operation signal C is connected to the subtraction input end of the Algebraic operation A, and an Algebraic operation signal A (AOS: A) expressed as AOS: A) is obtained at the output end of the Algebraic operation A
AOS:A(t)=SOS:A(t)-SOS:C(t) (7)
Wherein, A (t) is the algebraic operation signal A, and the unit is dimensionless. SOS (A), (t) is the square operation signal A, and the unit is dimensionless. SOS (C), (t) is the square operation signal C, and the unit is dimensionless.
5) The algebraic operation signal A is connected to the input end of an Integral operation A (IO: A), and the Integral operation signal A (IOS: A) expressed as
IOS (A), (t) is the integral operation signal A, and the unit is dimensionless. AOS, A (t) is the algebraic operation signal A with dimensionless unit.
6) The high-pass filtering signal B is accessed to the input end of a Square operation B (SO: B), and the Square operation signal B (SOS: B) expressed as
SOS:B(t)=[HPFS:B(t)]2 (9)
Wherein, SOS, B (t) is the square operation signal B, and the unit is dimensionless. HPFS: B (t) is the high pass filtered signal B in dimensionless units.
7) The high-pass filtered signal B is coupled to the input of a Pure Lag D (Pure Lag of D, PL: D), at the output of which a Pure Lag D (Pure Lag signal of D, PLS: D) is obtained
PLS:D(t)=HPFS:B(t-TPL) (10)
Wherein PLS: D (t) is the pure lag signal D in dimensionless units. HPFS B (T-T)PL) Is a pure lag signal of the high-pass filtered signal B, TPLIs a common pure lag time constant in units of s.
8) The pure lag signal D is connected to the input end of the Square operation D (SO: D), and the Square operation signal D (SOS: D) expressed as D is obtained at the output end of the Square operation D
SOS:D(t)=[PLS:D(t)]2 (11)
Wherein, SOS, D (t) is the square operation signal D, and the unit is dimensionless. PLS D (t) is the pure hysteresis signal D in dimensionless units.
9) The square operation signal B is connected to the addition input end of an Algebraic operation B (AO: B), the square operation signal D is connected to the subtraction input end of the Algebraic operation B, and an Algebraic operation signal B (AOS: B) expressed as AOS: B is obtained at the output end of the Algebraic operation B
AOS:B(t)=SOS:B(t)-SOS:D(t) (12)
Wherein, AOS, B and t are the algebraic operation signal B with dimensionless unit. SOS B (t) is the square operation signal B, and the unit is dimensionless. SOS D (t) is the square operation signal D, and the unit is dimensionless.
10) The algebraic operation signal B is connected to the input end of an Integral operation B (IO: B), and the Integral operation signal B (IOS: B) expressed as
And IOS, B (t) is the integral operation signal B, and the unit is dimensionless. And B (t) is the algebraic operation signal B with dimensionless unit.
11) Accessing the integration operation signal A to a dividend input end of a Division Operation (DO), accessing the integration operation signal B to a divisor input end of the Division operation, and obtaining the high-frequency noise power gain calculation result at an output end of the Division operation, wherein the calculation result is expressed as
Wherein, hfnpg (t) is a calculation result of the high frequency noise power gain, and the unit is dimensionless. IOS is the integral operation signal A (t) with dimensionless unit. IOS is the integral operation signal B (t) with dimensionless unit.
Calculation of high frequency noise power gain for sliding window tracking differentiators
And accessing the high-pass filtering signal A to the input A of the high-frequency noise power gain calculation, accessing the high-pass filtering signal B to the input B of the high-frequency noise power gain calculation, and obtaining a calculation result of the high-frequency noise power gain of the sliding window tracking differentiator at the output end of the high-frequency noise power gain calculation. Using HFNPGPD(t) expressing the calculation result of the high-frequency noise power gain of the sliding window tracking differentiator, wherein the unit is dimensionless.
In one embodiment, the parameters of the sliding window tracking differentiator are: k isCG=7.5,TSWTD135 s. Setting a common time constant of the high-pass filter A and the high-pass filter B as follows: t isHPF30 s. Setting parameters of the high-frequency noise power gain calculation as follows: t isPL1000 s. And simulating a noise interference signal in the input signal of the sliding window tracking differentiator by using a pseudo-random signal, wherein the output range of the pseudo-random signal is +/-0.01, and the unit is dimensionless.
The input signal of the sliding window tracking differentiator has a slope change, a slope change rate 1/1000s and a slope change time 1000s at a process time t of 3000 s-4000 s, and the purpose is to examine the influence of the change of the input signal of the sliding window tracking differentiator on the calculation result of the high-frequency noise power gain of the sliding window tracking differentiator. By ISSWTD(t) expressing the sliding window tracking differentiator input signal in dimensionless units. By OSSWTD(t) expressing the sliding window tracking differentiator output signal in dimensionless units.
The simulation experiment result of the sliding window tracking differentiator input signal is obtained at a digital discrete calculation interval of 1s, which is shown in fig. 5. The result of the simulation experiment of the output signal of the sliding window tracking differentiator is obtained and is shown in fig. 6. The result of the simulation experiment of the high-frequency noise power gain of the sliding window tracking differentiator is shown in fig. 7.
As shown in fig. 7, at a given process time t in the range of 0 to 8000s, the simulated experimental value of the high frequency noise power gain of the sliding window tracking differentiator varies in the interval 53 to 60. As can be seen from fig. 7, the slope change of the input signal of the sliding window tracking differentiator at the process time t of 3000s to 4000s has little influence on the calculation result of the high-frequency noise power gain of the sliding window tracking differentiator.
According to the technical scheme, the embodiment of the invention has the following advantages:
according to the online measurement method for the high-frequency noise power gain of the sliding window tracking differentiator, provided by the embodiment of the invention, the noise interference signal contained in the signal is utilized, for example, the noise interference signal is commonly contained in the signal in the actual process, the high-frequency noise signal in the output signal of the sliding window tracking differentiator is extracted through the high-pass filter A, and the high-frequency noise signal in the input signal of the sliding window tracking differentiator is extracted through the high-pass filter B. And obtaining a calculation result of the high-frequency noise power gain of the sliding window tracking differentiator through a series of calculations of the high-frequency noise signal in the output signal of the sliding window tracking differentiator and the high-frequency noise signal in the input signal of the sliding window tracking differentiator. The obvious characteristics are that: the online measurement result of the high-frequency noise power gain of the sliding window tracking differentiator can be continuously provided, and the online measurement result has better significance for guiding the online adjustment of the parameters of the sliding window tracking differentiator. And has no effect on the online operation of the sliding window tracking differentiator, e.g. no noise disturbance excitation needs to be applied to the sliding window tracking differentiator input.
A second aspect.
Referring to fig. 8, an embodiment of the invention provides an on-line measurement system for high frequency noise power gain of a sliding window tracking differentiator, which includes:
and the sliding window tracking differentiator input signal operation module 10 is configured to obtain a sliding window tracking differentiator input signal, divide the sliding window tracking differentiator input signal into two groups, input one group into the sliding window tracking differentiator to obtain a sliding window tracking differentiator output signal, and input the other group into a second high-pass filter as a second high-pass filter input signal to obtain a second high-pass filter output signal. The sliding window tracking differentiator is used for advanced observation of reheat steam temperature process response of the thermal power generating unit.
In a specific embodiment, the other group is input to the second high-pass filter as the second high-pass filter input signal, resulting in a second high-pass filter output signal, specifically:
and taking out a high-frequency noise signal in the input signal of the sliding window tracking differentiator as an output signal of a second high-pass filter.
In one embodiment, the sliding window tracking differentiator has the expression:
wherein SWTD(s) is a transfer function of a sliding window tracking differentiator;
KGCA gain that is a gain control;
swf(s) is the transfer function of the sliding window filter;
TSWTDthe time constant of the differentiator is tracked for the sliding window.
And a first high-pass filter output signal calculating module 20, configured to input the output signal of the sliding window tracking differentiator as a first high-pass filter input signal to a first high-pass filter, so as to obtain a first high-pass filter output signal.
In a specific embodiment, the sliding window tracking differentiator output signal is input as a first high pass filter input signal to a first high pass filter, resulting in a first high pass filter output signal, specifically:
and taking out a high-frequency noise signal in the output signal of the sliding window tracking differentiator as an output signal of a first high-pass filter.
In another embodiment, the expressions of the first high-pass filter and the second high-pass filter are respectively:
a(s) is a transfer function of the first high-pass filter;
b(s) is the transfer function of the second high-pass filter;
THPFis a time constant of the first high pass filter and the second high pass filter;
and the first high-pass filter and the second high-pass filter both adopt second-order high-pass filters.
And a high-frequency noise power gain calculation module 30 of the sliding window tracking differentiator, configured to input the first high-pass filter output signal and the second high-pass filter output signal to the high-frequency noise power gain calculation module, so as to obtain a high-frequency noise power gain of the sliding window tracking differentiator.
In a specific embodiment, the high frequency noise power gain calculating module 30 of the sliding window tracking differentiator is further configured to:
the output signal of the first high-pass filter is connected to the input end of a first square operation module, and a first square operation signal is obtained at the output end of the first square operation module;
connecting the output signal of the first high-pass filter to the input end of a first pure lag module, and obtaining a first pure lag signal at the output end of the first pure lag module;
the first pure lag signal is connected to the input end of a second square operation module, and a second square operation signal is obtained at the output end of the second square operation module;
the first square operation signal is accessed to the addition input end of a first algebraic operation module, the second square operation signal is accessed to the subtraction input end of the first algebraic operation module, and a first algebraic operation signal is obtained at the output end of the first algebraic operation module;
The first integral operation signal is accessed to the input end of a first integral operation module, and a first integral operation signal is obtained at the output end of the first integral operation module;
connecting the output signal of the second high-pass filter to the input end of a third square operation module, and obtaining a third square operation signal at the output end of the third square operation module;
the output signal of the second high-pass filter is connected to the input end of a second pure hysteresis module, and a second pure hysteresis signal is obtained at the output end of the second pure hysteresis module;
the second pure hysteresis signal is accessed to the input end of a fourth square operation module, and a fourth square operation signal is obtained at the output end of the fourth square operation module;
the third square operation signal is accessed to the addition input end of a second algebraic operation module, the fourth square operation signal is accessed to the subtraction input end of the second algebraic operation module, and a second algebraic operation signal is obtained at the output end of the second algebraic operation module;
the second algebraic operation signal is accessed to the input end of a second integral operation module, and a second integral operation signal is obtained at the output end of the second integral operation module;
And accessing the first integral operation signal to a dividend input end of a division operation module, accessing the second integral operation signal to a divisor input end of the division operation module, and obtaining the high-frequency noise power gain of the sliding window tracking differentiator at an output end of the division operation module.
In one embodiment, the expression of the high frequency noise power gain of the sliding window tracking differentiator is as follows:
wherein HFNPG (t) tracks the high frequency noise power gain of the differentiator for the sliding window;
HPFS, A (t) is the output signal of the first high-pass filter;
HPFS:A(t-TPL) Is the first pure lag signal;
b (t) is the second high pass filter output signal;
HPFS:B(t-TPL) Is the second pure hysteresis signal;
TPLis a pure lag time constant for the first pure lag signal and the second pure lag signal.
The invention provides an on-line measurement system for high-frequency noise power gain of a sliding window tracking differentiator, which utilizes noise interference signals contained in signals, for example, noise interference signals generally contained in actual process signals, extracts high-frequency noise signals in output signals of the sliding window tracking differentiator through a first high-pass filter, and extracts high-frequency noise signals in input signals of the sliding window tracking differentiator through a second high-pass filter. And obtaining a calculation result of the high-frequency noise power gain of the sliding window tracking differentiator through a series of calculations of the high-frequency noise signal in the output signal of the sliding window tracking differentiator and the high-frequency noise signal in the input signal of the sliding window tracking differentiator. The obvious characteristics are that: the method can continuously provide the online measurement result of the high-frequency noise power gain of the sliding window tracking differentiator, and has better significance for guiding the online adjustment of the parameters of the sliding window tracking differentiator. And has no effect on the on-line operation of the sliding window tracking differentiator, e.g. without applying noise disturbance excitation to the sliding window tracking differentiator input.
In a third aspect.
The present invention provides an electronic device, including:
a processor, a memory, and a bus;
the bus is used for connecting the processor and the memory;
the memory is used for storing operation instructions;
the processor is configured to invoke the operation instruction, and the executable instruction causes the processor to perform an operation corresponding to the online measurement method for the high-frequency noise power gain of the sliding window tracking differentiator as shown in the first aspect of the present application.
In an alternative embodiment, an electronic device is provided, as shown in fig. 9, the electronic device 5000 shown in fig. 9 includes: a processor 5001 and a memory 5003. The processor 5001 and the memory 5003 are coupled, such as via a bus 5002. Optionally, the electronic device 5000 may also include a transceiver 5004. It should be noted that the transceiver 5004 is not limited to one in practical application, and the structure of the electronic device 5000 is not limited to the embodiment of the present application.
The processor 5001 may be a CPU, general purpose processor, DSP, ASIC, FPGA or other programmable logic device, transistor logic device, hardware component, or any combination thereof. Which may implement or perform the various illustrative logical blocks, modules, and circuits described in connection with the disclosure. The processor 5001 may also be a combination of processors implementing computing functionality, e.g., a combination comprising one or more microprocessors, a combination of DSPs and microprocessors, or the like.
The memory 5003 is used for storing application code that implements aspects of the present application and is controlled in execution by the processor 5001. The processor 5001 is configured to execute application program code stored in the memory 5003 to implement aspects illustrated in any of the method embodiments described previously.
Wherein, the electronic device includes but is not limited to: mobile terminals such as mobile phones, notebook computers, digital broadcast receivers, PDAs (personal digital assistants), PADs (tablet computers), PMPs (portable multimedia players), in-vehicle terminals (e.g., car navigation terminals), and the like, and fixed terminals such as digital TVs, desktop computers, and the like.
And (iv) a fourth aspect.
The present invention provides a computer readable storage medium, on which a computer program is stored, which when executed by a processor, implements a method for online measurement of high frequency noise power gain of a sliding window tracking differentiator as presented in the first aspect of the present application.
Yet another embodiment of the present application provides a computer-readable storage medium, on which a computer program is stored, which, when run on a computer, enables the computer to perform the corresponding content of the foregoing method embodiments.
Claims (7)
1. An online measurement method for high-frequency noise power gain of a sliding window tracking differentiator is characterized by comprising the following steps:
acquiring input signals of a sliding window tracking differentiator, dividing the input signals of the sliding window tracking differentiator into two groups, inputting one group of the input signals into the sliding window tracking differentiator to obtain output signals of the sliding window tracking differentiator, and inputting the other group of the input signals serving as input signals of a second high-pass filter into the second high-pass filter to obtain output signals of the second high-pass filter;
The output signal of the sliding window tracking differentiator is used as the input signal of a first high-pass filter and is input into the first high-pass filter, and the output signal of the first high-pass filter is obtained;
inputting the output signal of the first high-pass filter and the output signal of the second high-pass filter into a high-frequency noise power gain calculation module to obtain the high-frequency noise power gain of the sliding window tracking differentiator;
the inputting the first high-pass filter output signal and the second high-pass filter output signal into a high-frequency noise power gain calculation module to obtain the high-frequency noise power gain of the sliding window tracking differentiator includes:
the output signal of the first high-pass filter is connected to the input end of a first square operation module, and a first square operation signal is obtained at the output end of the first square operation module;
connecting the output signal of the first high-pass filter to the input end of a first pure hysteresis module, and obtaining a first pure hysteresis signal at the output end of the first pure hysteresis module;
the first pure hysteresis signal is accessed to the input end of a second square operation module, and a second square operation signal is obtained at the output end of the second square operation module;
the first square operation signal is accessed to the addition input end of a first algebraic operation module, the second square operation signal is accessed to the subtraction input end of the first algebraic operation module, and a first algebraic operation signal is obtained at the output end of the first algebraic operation module;
The first integral operation signal is accessed to the input end of a first integral operation module, and a first integral operation signal is obtained at the output end of the first integral operation module;
connecting the output signal of the second high-pass filter to the input end of a third square operation module, and obtaining a third square operation signal at the output end of the third square operation module;
connecting the output signal of the second high-pass filter to the input end of a second pure lag module, and obtaining a second pure lag signal at the output end of the second pure lag module;
the second pure lag signal is accessed to the input end of a fourth square operation module, and a fourth square operation signal is obtained at the output end of the fourth square operation module;
the third square operation signal is accessed to the addition input end of a second algebraic operation module, the fourth square operation signal is accessed to the subtraction input end of the second algebraic operation module, and a second algebraic operation signal is obtained at the output end of the second algebraic operation module;
the second algebraic operation signal is accessed to the input end of a second integral operation module, and a second integral operation signal is obtained at the output end of the second integral operation module;
Accessing the first integral operation signal to a dividend input end of a division operation module, accessing the second integral operation signal to a divisor input end of the division operation module, and obtaining a high-frequency noise power gain of the sliding window tracking differentiator at an output end of the division operation module;
the expression of the high-frequency noise power gain of the sliding window tracking differentiator is as follows:
wherein HFNPG (t) tracks the high frequency noise power gain of the differentiator for the sliding window;
HPFS, A (t) is the output signal of the first high-pass filter;
HPFS:A(t-TPL) Is the first pure lag signal;
b (t) is the second high-pass filter output signal;
HPFS:B(t-TPL) Is the second pure lag signal;
TPLis a pure lag time constant of the first pure lag signal and the second pure lag signal.
2. The method as claimed in claim 1, wherein the output signal of the sliding window tracking differentiator is inputted to the first high pass filter as the input signal of the first high pass filter to obtain the output signal of the first high pass filter, specifically:
and taking out a high-frequency noise signal in the output signal of the sliding window tracking differentiator as an output signal of a first high-pass filter.
3. The method as claimed in claim 2, wherein the other group is inputted to the second high pass filter as the second high pass filter input signal to obtain the second high pass filter output signal, and specifically:
and taking out a high-frequency noise signal in the input signal of the sliding window tracking differentiator as an output signal of a second high-pass filter.
4. The method as claimed in claim 3, wherein the expressions of the first high-pass filter and the second high-pass filter are respectively:
a(s) is a transfer function of the first high-pass filter;
b(s) is a transfer function of the second high-pass filter;
THPFtime constants for the first high pass filter and the second high pass filter;
and the first high-pass filter and the second high-pass filter both adopt second-order high-pass filters.
5. The on-line measurement method of the high-frequency noise power gain of the sliding window tracking differentiator as claimed in claim 1, wherein the expression of the sliding window tracking differentiator is:
Wherein SWTD(s) is a transfer function of a sliding window tracking differentiator;
KGCfor increasing gain controlBenefiting;
SWF(s) is the transfer function of the sliding window filter;
TSWTDthe time constant of the differentiator is tracked for the sliding window.
6. An on-line measurement system for high frequency noise power gain of a sliding window tracking differentiator, comprising:
the sliding window tracking differentiator input signal operation module is used for acquiring a sliding window tracking differentiator input signal and dividing the sliding window tracking differentiator input signal into two groups, wherein one group is input into the sliding window tracking differentiator to obtain a sliding window tracking differentiator output signal, and the other group is input into a second high-pass filter as a second high-pass filter input signal to obtain a second high-pass filter output signal;
the first high-pass filter output signal calculation module is used for inputting the output signal of the sliding window tracking differentiator serving as a first high-pass filter input signal into a first high-pass filter to obtain a first high-pass filter output signal;
the high-frequency noise power gain calculation module of the sliding window tracking differentiator is used for inputting the output signal of the first high-pass filter and the output signal of the second high-pass filter into the high-frequency noise power gain calculation module to obtain the high-frequency noise power gain of the sliding window tracking differentiator;
The high-frequency noise power gain calculation module of the sliding window tracking differentiator is further configured to:
the output signal of the first high-pass filter is connected to the input end of a first square operation module, and a first square operation signal is obtained at the output end of the first square operation module;
connecting the output signal of the first high-pass filter to the input end of a first pure lag module, and obtaining a first pure lag signal at the output end of the first pure lag module;
the first pure lag signal is connected to the input end of a second square operation module, and a second square operation signal is obtained at the output end of the second square operation module;
the first square operation signal is accessed to the addition input end of a first algebraic operation module, the second square operation signal is accessed to the subtraction input end of the first algebraic operation module, and a first algebraic operation signal is obtained at the output end of the first algebraic operation module;
the first integral operation signal is accessed to the input end of a first integral operation module, and a first integral operation signal is obtained at the output end of the first integral operation module;
connecting the output signal of the second high-pass filter to the input end of a third square operation module, and obtaining a third square operation signal at the output end of the third square operation module;
The output signal of the second high-pass filter is connected to the input end of a second pure hysteresis module, and a second pure hysteresis signal is obtained at the output end of the second pure hysteresis module;
the second pure lag signal is accessed to the input end of a fourth square operation module, and a fourth square operation signal is obtained at the output end of the fourth square operation module;
the third square operation signal is accessed to the addition input end of a second algebraic operation module, the fourth square operation signal is accessed to the subtraction input end of the second algebraic operation module, and a second algebraic operation signal is obtained at the output end of the second algebraic operation module;
the second algebraic operation signal is accessed to the input end of a second integral operation module, and a second integral operation signal is obtained at the output end of the second integral operation module;
and accessing the first integral operation signal to a dividend input end of a division operation module, accessing the second integral operation signal to a divisor input end of the division operation module, and obtaining the high-frequency noise power gain of the sliding window tracking differentiator at an output end of the division operation module.
7. The on-line measurement system of high frequency noise power gain of a sliding window tracking differentiator as in claim 6,
The first high pass filter output signal calculation module is further configured to: taking out a high-frequency noise signal in the output signal of the sliding window tracking differentiator as an output signal of a first high-pass filter;
the sliding window tracking differentiator input signal operation module is further configured to: and taking out a high-frequency noise signal in the input signal of the sliding window tracking differentiator as an output signal of a second high-pass filter.
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