CN203276678U - Arc furnace chaos phenomenon simulation hardware circuit - Google Patents
Arc furnace chaos phenomenon simulation hardware circuit Download PDFInfo
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- CN203276678U CN203276678U CN 201320296076 CN201320296076U CN203276678U CN 203276678 U CN203276678 U CN 203276678U CN 201320296076 CN201320296076 CN 201320296076 CN 201320296076 U CN201320296076 U CN 201320296076U CN 203276678 U CN203276678 U CN 203276678U
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- operational amplifier
- parallel
- integrated operational
- variable resistor
- phase
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Abstract
The utility model relates to an arc furnace chaos phenomenon simulation hardware circuit. An inductor is connected in parallel with a capacitor so as to form a resonance circuit. Two ends of the resonance circuit are connected in parallel with a phase-splitting variable resistor and a first capacitor which are connected in series. An oscilloscope is connected in parallel to two ends of the phase-splitting variable resistor. A series intermediate point of the phase-splitting variable resistor and the first capacitor is connected with positive input terminals of two integration utilization amplifiers which are connected in parallel. Feedback resistors are connected among positive and negative input terminals and output terminals of the two integration utilization amplifiers. The negative input terminals of the two integration utilization amplifiers are grounded through resistors. Two direct current power supplies are connected in series and then are connected to power supply input terminals of the two integration utilization amplifiers which are connected in parallel. The phase-splitting variable resistor is adjusted so that a whole process that a direct current equilibrium state is via Hopf bifurcation and period doubling bifurcation and is finally transited to an asymmetric double turbination chaos attractor can be observed through the oscilloscope. The circuit structure is simple. Nonlinear dynamic behaviors are abundant. The circuit is convenient to generate various kinds of bifurcation and chaos phenomena. A parameter is adjusted so that the asymmetric double turbination chaos attractor can be acquired.
Description
Technical field
The utility model relates to a kind of signal imitation technology, particularly a kind of electric arc furnaces chaos phenomenon analog hardware circuit.
Background technology
At present, developing rapidly of the nonlinear sciences such as chaos and fork provides new Research Thinking for the scientific research personnel further furthers investigate the ac arc furnace operation characteristic.The working condition that can reflect delicately electric arc furnaces inside due to the voltage waveform of plasma-arc, the temperature of itself and isoionic temperature, electrode, the geometric configuration of electrode, ionic type, by factor analysis such as smelting furnace material composition, surrounding environment, so arc voltage waveform commonly used is described the motion state of electric arc.
With nonlinear kinetics and Digital Signal Processing, the arc voltage signal of actual measurement is analyzed, the arc voltage power spectral density plot that obtains has shown the wideband continuous spectrum characteristic of arc voltage signal, has shown chaotic behavior.Use the arc voltage current demand signal of actual measurement
X (t), retardation time
Signal
X (t+T)And retardation time
Signal
X (t+2T)The three-dimensional phase space curve map of the arc voltage that draws has shown an asymmetric double scroll chaos.
Researcher is found in the process of research chaos, exists a large amount of chaos phenomenons in non-linear circuit, and the chaotic signal that produces by means of circuit is an effective way of research chaos.To the observation of circuit with measure relative simply and easily realize, can use the various nonlinear dynamic phenomenon in the equipment observation such as oscillograph, spectrum analyzer and writing circuit.
Summary of the invention
The utility model is the problem that realizes for the Study on chaos in Electric Power System of Arc Furnace, a kind of electric arc furnaces chaos phenomenon analog hardware circuit has been proposed, circuit structure is simple, as long as change the parameter of one of them circuit component, just can produce polytype fork and chaos phenomenon.
the technical solution of the utility model is: a kind of electric arc furnaces chaos phenomenon analog hardware circuit, inductance and the second Capacitance parallel connection consist of resonant circuit, phase-splitting variable resistor and first electric capacity of the series connection in parallel of resonant circuit two ends, oscillograph is connected in parallel on phase-splitting variable resistor two ends, phase-splitting variable resistor and the first capacitances in series intermediate point connect two integrated utilization amplifier positive input terminals in parallel, be connected to respectively feedback resistance between the positive input terminal of the first integrated operational amplifier and the second integrated operational amplifier and output terminal, also be connected to respectively feedback resistance between the negative input end of the first integrated operational amplifier and the second integrated operational amplifier and output terminal, the negative input end of the first integrated operational amplifier and the second integrated operational amplifier passes through respectively resistance eutral grounding, after connecting, two direct supplys connect the power input of the integrated operational amplifier of two parallel connections.
Described two direct supply voltage magnitudes are unequal, make the positive and negative different to saturation voltage of integrated operational amplifier.
Described integrated operational amplifier adopts the AD712 of Analog Devices company, is two integrated transporting discharging chips of two BiFET difference inputs.
The beneficial effects of the utility model are: the utility model electric arc furnaces chaos phenomenon analog hardware circuit, and circuit structure is simple, and Nonlinear dynamic behaviors is abundant; Can conveniently produce polytype fork and chaos phenomenon; Suitably the regulating circuit parameter, can obtain asymmetric double scroll chaos.Can observe easily Phase plane curve figure by the dc balance attitude through Hopf fork, period doubling bifurcation to single scroll chaotic attractor, then be transitioned into the overall process of asymmetric double scroll chaos.
Description of drawings
Fig. 1 is the utility model embodiment electric arc furnaces chaos phenomenon analog hardware circuit diagram.
Embodiment
Embodiment electric arc furnaces chaos phenomenon analog hardware circuit diagram as shown in Figure 1, a kind of electric arc furnaces chaos phenomenon analog hardware circuit that the present embodiment provides, it comprise a pair of integrated operational amplifier (A1, A2), 2 series direct current power supply power supplys (
V1,
V2), 6 resistance (
R 1,
R 2,
R 3,
R 4,
R 5,
R 6), 2 electric capacity (
C 1,
C 2), 1 inductance
LWith 1 variable resistor
RDescribed integrated operational amplifier adopts the AD712 of Analog Devices company, and this device is the two integrated transporting discharging chips with two BiFET difference inputs, can effectively show negative resistance charactertistic in its linear magnification region.When its input signal
V d When positive increases to a certain degree, amplifier can enter the forward state of saturation (
), output voltage
V o Will be not with
V d Increase and increase.In like manner, when its input signal
V d Anti-phase when increasing to a certain degree, amplifier can enter the negative sense state of saturation (
).Two integrated operational amplifiers adopt the mode that is connected in parallel.
Described two power supply voltage magnitudes are unequal, connect the power input of the integrated operational amplifier of two parallel connections after series connection, can make the positive and negative different to saturation voltage of integrated operational amplifier, namely
Described 1 inductance
LWith 1 electric capacity wherein
C 2Formation resonant circuit in parallel, 1 variable resistor of resonant circuit two ends series connection in parallel
R and capacitor C 1, variable resistor
REffect be phase-splitting, oscillograph is connected in parallel on variable resistor
RTwo ends make oscillographic two voltage signals of input produce phase differential, can obtain Phase plane curve both.Variable resistor
RAnd electric capacity
C 1The series connection intermediate point connects the positive input terminal of integrated operational amplifier in parallel,
R 4With
R 1Connect respectively the first integrated operational amplifier
A 1 With the second integrated operational amplifier
A 2 Positive input terminal and output terminal between,
R 5With
R 2Connect respectively the first integrated operational amplifier
A 1 With the second integrated operational amplifier
A 2 Negative input end and output terminal between, the first integrated operational amplifier
A 1 With the second integrated operational amplifier
A 2 Negative input end pass through respectively resistance
R 6With
R 3Ground connection.
Described component parameters is
R 1=
R 2=220 Ω,
R 3=2.2k Ω,
R 4=
R 5=22k Ω,
R 6=3.3k Ω;
C 1=10nF,
C 2=100nF;
L=18mH;
V1=9V,
V2=7V;
RAdjustable.
When the utility model uses, at first build circuit according to Fig. 1 on circuit board, then with electric capacity
C 1With
C 2The voltage at two ends
V c1 ,
V c2 As the input signal of oscillographic X passage and Y passage, regulate variable resistor respectively
R, it is reduced gradually by 2k Ω, can observe the dc balance attitude through Hopf fork, period doubling bifurcation, finally be transitioned into the overall process of asymmetric double scroll chaos.
The utility model can be used in the hardware circuit of simulation electric arc furnaces chaos phenomenon, can observe Phase plane curve figure by the dc balance attitude through Hopf fork, period doubling bifurcation to single scroll chaotic attractor, be transitioned into the overall process of asymmetric double scroll chaos, also can verify chaos system to the susceptibility of starting condition, also have the characteristic that improves the communication system security performance.
Claims (3)
1. an electric arc furnaces chaos phenomenon analog hardware circuit, is characterized in that, inductance (
L) and the second electric capacity (
C 2) formation resonant circuit in parallel, the phase-splitting variable resistor of resonant circuit two ends series connection in parallel (
R) and the first electric capacity (
C 1), oscillograph be connected in parallel on the phase-splitting variable resistor (
R) two ends, the phase-splitting variable resistor (
R) and the first electric capacity (
C 1) the series connection intermediate point connects two in parallel integrated utilization amplifier positive input terminals, the first integrated operational amplifier (
A 1 ) and the second integrated operational amplifier (
A 2 ) positive input terminal and output terminal between be connected to respectively feedback resistance, the first integrated operational amplifier (
A 1 ) and the second integrated operational amplifier (
A 2 ) negative input end and output terminal between also be connected to respectively feedback resistance, the first integrated operational amplifier (
A 1 ) and the second integrated operational amplifier (
A 2 ) negative input end respectively by resistance eutral grounding, connect after two direct supplys series connection two parallel connections integrated operational amplifier (
A 1 ,
A 2 ) power input.
2. electric arc furnaces chaos phenomenon analog hardware circuit according to claim 1, is characterized in that, described two direct supply voltage magnitudes are unequal, makes the positive and negative different to saturation voltage of integrated operational amplifier.
3. electric arc furnaces chaos phenomenon analog hardware circuit according to claim 1, is characterized in that, described integrated operational amplifier adopts the AD712 of Analog Devices company, is two integrated transporting discharging chips of two BiFET difference inputs.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201320296076 CN203276678U (en) | 2013-05-28 | 2013-05-28 | Arc furnace chaos phenomenon simulation hardware circuit |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201320296076 CN203276678U (en) | 2013-05-28 | 2013-05-28 | Arc furnace chaos phenomenon simulation hardware circuit |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN203276678U true CN203276678U (en) | 2013-11-06 |
Family
ID=49507043
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 201320296076 Expired - Fee Related CN203276678U (en) | 2013-05-28 | 2013-05-28 | Arc furnace chaos phenomenon simulation hardware circuit |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN203276678U (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104464462A (en) * | 2014-12-11 | 2015-03-25 | 西南大学 | Device for demonstrating chaos phenomenon |
-
2013
- 2013-05-28 CN CN 201320296076 patent/CN203276678U/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104464462A (en) * | 2014-12-11 | 2015-03-25 | 西南大学 | Device for demonstrating chaos phenomenon |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| C17 | Cessation of patent right | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20131106 Termination date: 20140528 |