CN108458254B - Harmonic response pipeline monitoring system of chaotic system - Google Patents
Harmonic response pipeline monitoring system of chaotic system Download PDFInfo
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- CN108458254B CN108458254B CN201810204837.6A CN201810204837A CN108458254B CN 108458254 B CN108458254 B CN 108458254B CN 201810204837 A CN201810204837 A CN 201810204837A CN 108458254 B CN108458254 B CN 108458254B
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- 230000000739 chaotic effect Effects 0.000 title claims abstract description 70
- 238000012544 monitoring process Methods 0.000 title claims abstract description 30
- 230000004044 response Effects 0.000 title claims abstract description 13
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims abstract description 17
- 230000005540 biological transmission Effects 0.000 claims abstract description 4
- 230000010354 integration Effects 0.000 claims description 12
- 239000003990 capacitor Substances 0.000 claims description 9
- 230000010355 oscillation Effects 0.000 claims description 6
- 238000001228 spectrum Methods 0.000 claims description 3
- 230000008859 change Effects 0.000 abstract description 4
- 230000035772 mutation Effects 0.000 abstract description 4
- 238000000034 method Methods 0.000 description 7
- 238000010586 diagram Methods 0.000 description 4
- 230000006870 function Effects 0.000 description 4
- 238000005516 engineering process Methods 0.000 description 3
- 238000013461 design Methods 0.000 description 2
- 230000005284 excitation Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 238000002441 X-ray diffraction Methods 0.000 description 1
- 230000009471 action Effects 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000005291 chaos (dynamical) Methods 0.000 description 1
- 230000007797 corrosion Effects 0.000 description 1
- 238000005260 corrosion Methods 0.000 description 1
- 230000007774 longterm Effects 0.000 description 1
- 239000006247 magnetic powder Substances 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 230000009466 transformation Effects 0.000 description 1
- 238000013519 translation Methods 0.000 description 1
- 239000002699 waste material Substances 0.000 description 1
Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F17—STORING OR DISTRIBUTING GASES OR LIQUIDS
- F17D—PIPE-LINE SYSTEMS; PIPE-LINES
- F17D3/00—Arrangements for supervising or controlling working operations
- F17D3/01—Arrangements for supervising or controlling working operations for controlling, signalling, or supervising the conveyance of a product
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F17—STORING OR DISTRIBUTING GASES OR LIQUIDS
- F17D—PIPE-LINE SYSTEMS; PIPE-LINES
- F17D1/00—Pipe-line systems
- F17D1/08—Pipe-line systems for liquids or viscous products
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Health & Medical Sciences (AREA)
- Public Health (AREA)
- Water Supply & Treatment (AREA)
- Arrangements For Transmission Of Measured Signals (AREA)
- Amplifiers (AREA)
Abstract
The invention discloses a chaotic system harmonic response pipeline monitoring system, which comprises a chaotic circuit module, a wireless vibration sensor and a controller, wherein the wireless vibration sensor is used for monitoring a water pipeline at fixed time and storing a vibration signal, the vibration signal is used for disturbing the chaotic circuit module, and if the vibration signal contains a leakage signal, abrupt changes of the number and the state of a chaotic system scroll of the chaotic circuit module are caused; the controller compares the data of the chaotic circuit module with a pre-stored signal sample library and judges whether the water transmission pipeline is leaked or not. According to the invention, through remote monitoring of the pipeline leakage point, whether leakage exists is judged according to the state change of the multi-scroll chaotic system, the system mutation is easier to identify than a common chaotic system, and the system has stronger anti-interference capability.
Description
Technical Field
The invention belongs to the field of signal monitoring of water pipelines, and particularly relates to a system for monitoring a harmonic response pipeline of a chaotic system.
Background
Water delivery lines are an important component of the water supply system and are also the focus of leak monitoring. The pipelines made of various materials can have loss and faults in long-term use, such as pipeline cracks, pipe wall corrosion, joint looseness and the like. In many cities, the water leakage quantity of pipelines exceeds one third of the total water supply quantity, so that serious waste of water resources is caused, and leakage monitoring is becoming an increasingly concerned problem. In view of these problems, the conventional manual hearing leakage cannot meet the requirement of large-scale monitoring, and various pipeline nondestructive monitoring methods based on high and new technologies, such as an endoscope monitoring method, an infrared monitoring method, an X-ray analysis method, magnetic powder monitoring, vortex monitoring and an ultrasonic guided wave pipeline monitoring method, have been proposed, and then the monitoring methods based on acoustic emission technology and vibration are widely applied to monitoring of pipeline systems. However, the above methods generally apply active excitation to the pipeline, the signal action distance is limited, and leakage signals are easy to mask.
Disclosure of Invention
The invention aims to solve the technical problem of providing a chaotic system harmonic response pipeline monitoring system, which is characterized in that through remote monitoring of pipeline leakage points, whether leakage exists is judged according to state change of a multi-scroll chaotic system, and compared with a common chaotic system, the system mutation is easier to identify, and the system has stronger anti-interference capability.
The technical scheme adopted for solving the technical problems is as follows: the system comprises a chaotic circuit module, wireless vibration sensors and a controller, wherein a plurality of wireless vibration sensors are arranged on a water delivery pipeline to be monitored; the initial oscillation frequency of the chaotic circuit module is the midpoint of a low-frequency interval of a frequency spectrum of a leakage signal, a wireless vibration sensor monitors a water pipe at the same time interval and stores the vibration signal, the chaotic circuit module is disturbed by the vibration signal, and if the vibration signal contains the leakage signal, abrupt changes of the scroll number and state of a chaotic system of the chaotic circuit module are caused; the controller compares the data of the chaotic circuit module with a pre-stored signal sample library and judges whether the water transmission pipeline is leaked or not.
According to the technical scheme, the chaotic circuit module comprises a circuit power supply module, a step module, an integration module, a summation module and a display module, wherein the circuit power supply module supplies power to the chaotic circuit module, the step module is used for generating scroll interfaces, the number of operational amplifiers in the step module is set, and the number and the positions of scrolls are determined, so that the multi-scroll chaotic circuit system has odd scrolls; the integration module is used for realizing the inverse integration function of the input signal; the summation module is used for realizing the inverse summation function of the input signals; the display module is used for displaying the multi-scroll track generated by the chaotic circuit module.
According to the technical scheme, the multi-scroll chaotic circuit module comprises ten operational amplifiers, wherein the fourth operational amplifier and the fifth operational amplifier form a step module, the first operational amplifier, the seventh operational amplifier and the ninth operational amplifier form an integrating module, and the second operational amplifier, the third operational amplifier, the sixth operational amplifier, the eighth operational amplifier and the tenth operational amplifier form a summing module.
According to the above technical scheme, specifically, the inverting input terminal of the fourth operational amplifier OP4 is connected to the output terminal of the second operational amplifier OP2 through the resistor R34, the non-inverting input terminal of the fourth operational amplifier OP4 is connected to the resistor R35 and grounded, and the output terminal of the fourth operational amplifier OP4 is connected to the inverting input terminal of the sixth operational amplifier OP6 through the resistor R38; the inverting input terminal of the fifth operational amplifier OP5 is connected to the output terminal of the third operational amplifier OP3 through a resistor R36, the non-inverting input terminal of the fifth operational amplifier OP5 is connected to a resistor R37 and grounded, and the output terminal of the fifth operational amplifier OP5 is connected to the inverting input terminal of the sixth operational amplifier OP6 through a resistor R39.
According to the above technical scheme, in the integration module, specifically, an inverting input terminal of the first operational amplifier OP1 is connected with an output terminal of the tenth operational amplifier OP10 through a resistor R22, is connected with an output terminal of the first operational amplifier OP1 through a capacitor C1, an in-phase input terminal of the first operational amplifier OP1 is connected with a resistor R23 and is grounded, an output terminal of the first operational amplifier OP1 is connected with an inverting input terminal of the seventh operational amplifier OP7 through a resistor R45, is connected with an inverting input terminal of the second operational amplifier OP2 through a resistor R24, and is connected with an inverting input terminal of the third operational amplifier OP3 through a resistor R29; the inverting input end of the seventh operational amplifier OP7 is connected with the output end of the first operational amplifier OP1 through a resistor R45, is connected with the output end of the sixth operational amplifier OP6 through a resistor R42, is connected with the output end of the eighth operational amplifier OP8 through a resistor R43, the non-inverting input end of the seventh operational amplifier OP7 is connected with a resistor R44 and is grounded, the output end of the seventh operational amplifier OP7 is connected with the inverting input end of the tenth operational amplifier OP10 through a resistor R1, is connected with the inverting input end of the eighth operational amplifier OP8 through a resistor R52, and is connected with the inverting input end of the seventh operational amplifier OP7 through a capacitor C2; the inverting input terminal of the ninth operational amplifier OP9 is connected to the output terminal of the sixth operational amplifier OP6 through a resistor R54, to the output terminal of the ninth operational amplifier OP9 through a resistor R46, to the non-inverting input terminal of the ninth operational amplifier OP9 to a resistor R47 and to the ground, to the inverting input terminal of the second operational amplifier OP2 through a resistor R25, to the inverting input terminal of the third operational amplifier OP3 through a resistor R30, and to the inverting input terminal of the ninth operational amplifier OP9 through a capacitor C3.
According to the above technical solution, the summing module is specifically configured such that the inverting input terminal of the second operational amplifier OP2 is connected to the output terminal of the first operational amplifier OP1 through the resistor R24, connected to the output terminal of the ninth operational amplifier OP9 through the resistor R25, connected to the power source J3 through the resistor R26, the non-inverting input terminal of the second operational amplifier OP2 is connected to the resistor R28 and grounded, and the output terminal of the second operational amplifier OP2 is connected to the inverting input terminal of the second operational amplifier OP2 through the resistor R27, and connected to the inverting input terminal of the fourth operational amplifier OP4 through the resistor R34; the inverting input end of the third operational amplifier OP3 is connected with the output end of the first operational amplifier OP1 through a resistor R29, is connected with the output end of the ninth operational amplifier OP9 through a resistor R30, is connected with a power supply J4 through a resistor R31, the non-inverting input end of the third operational amplifier OP3 is connected with a resistor R33 and is grounded, and the output end of the third operational amplifier OP3 is connected with the inverting input end of the third operational amplifier OP3 through a resistor R32 and is connected with the inverting input end of the fifth operational amplifier OP5 through a resistor R36; the inverting input terminal of the sixth operational amplifier OP6 is connected with the output terminal of the fourth operational amplifier OP4 through a resistor R38, with the output terminal of the fifth operational amplifier OP5 through a resistor R39, the non-inverting input terminal of the sixth operational amplifier OP6 is connected with a resistor R41 and grounded, the output terminal of the sixth operational amplifier OP6 is connected with the inverting input terminal of the sixth operational amplifier OP6 through a resistor R40, with the inverting input terminal of the seventh operational amplifier OP7 through a resistor R42, and with the inverting input terminal of the ninth operational amplifier OP9 through a resistor R54; the inverting input end of the eighth operational amplifier OP8 is connected with the output end of the seventh operational amplifier OP7 through a resistor R52, is connected with the output end of the eighth operational amplifier OP8 through a resistor R53, the non-inverting input end of the eighth operational amplifier OP8 is connected with a resistor R51 and is grounded, and the output end of the eighth operational amplifier OP8 is connected with the inverting input end of the seventh operational amplifier OP7 through a resistor R43; the inverting input terminal of the tenth operational amplifier OP10 is connected to the output terminal of the seventh operational amplifier OP7 through a resistor R1, the non-inverting input terminal of the tenth operational amplifier OP10 is connected to a resistor R49 and grounded, and the output terminal of the tenth operational amplifier OP10 is connected to the inverting input terminal of the tenth operational amplifier OP10 through a resistor R50 and to the inverting input terminal of the first operational amplifier OP1 through a resistor R22.
According to the technical scheme, the initial oscillation frequency of the chaotic circuit module is set to be 150Hz.
According to the technical scheme, the same interval time interval of the wireless vibration sensor is 30mins.
The invention has the beneficial effects that: the system is characterized in that the number and the positions of scrolls can be preset by designing interface parameters of the system by using a state-adjustable multi-scroll chaotic system, and common interference signals are eliminated by using sample library intelligent comparison based on harmonic response of the chaotic system, so that the monitoring accuracy is improved. Therefore, the invention judges whether leakage exists according to the state change of the multi-scroll chaotic system by remotely monitoring the pipeline leakage point, is easier to identify the system mutation than a common chaotic system, and has stronger anti-interference capability.
Drawings
The invention will be further described with reference to the accompanying drawings and examples, in which:
FIG. 1 is a schematic diagram of a chaotic circuit module in an embodiment of the present invention;
FIG. 2 is a graph of chaotic signals without leakage signals in an embodiment of the present invention;
FIG. 3 is a graph of chaotic signals with leakage signals in an embodiment of the present invention;
FIG. 4 is an example of component lists and parameter values in an embodiment of the invention;
fig. 5 is a block diagram of a system architecture according to an embodiment of the present invention.
Detailed Description
The present invention will be described in further detail with reference to the drawings and examples, in order to make the objects, technical solutions and advantages of the present invention more apparent. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
In the embodiment of the invention, as shown in fig. 1 and 5, a chaotic system harmonic response pipeline monitoring system is provided, and the chaotic system harmonic response pipeline monitoring system comprises a chaotic circuit module, a wireless vibration sensor and a controller, wherein a plurality of wireless vibration sensors are arranged on a water pipeline to be monitored; the initial oscillation frequency of the chaotic circuit module is the midpoint of a low-frequency interval of a frequency spectrum of a leakage signal, a wireless vibration sensor monitors a water pipe at the same time interval and stores the vibration signal, the chaotic circuit module is disturbed by the vibration signal, and if the vibration signal contains the leakage signal, abrupt changes of the scroll number and state of a chaotic system of the chaotic circuit module are caused; the controller compares the data of the chaotic circuit module with a pre-stored signal sample library and judges whether the water transmission pipeline is leaked or not.
The invention designs an unstable linear system, realizes the translation transformation of the system by using a step circuit, and sets the number of operational amplifiers in the step circuit, thereby determining the scroll number of the chaotic system, and observing whether the system state meets the design requirement or not through a display module. When the wireless vibration sensor and the chaos theory are utilized for monitoring pipeline leakage, the leakage characteristics can be extracted from weak signals by combining the intelligent recognition technology without applying an excitation signal and depending on the received signal of the high-sensitivity sensor and the harmonic response characteristics of the chaos system, and common interference can be eliminated. Fig. 2 is a chaotic signal diagram when there is no leakage signal in the embodiment of the present invention, and fig. 3 is a chaotic signal diagram when there is leakage signal in the embodiment of the present invention.
Further, the chaotic circuit module comprises a circuit power supply module, a step module, an integration module, a summation module and a display module, wherein the circuit power supply module supplies power to the chaotic circuit module, the step module is used for generating a scroll interface, the number of operational amplifiers in the step module is set, and the number and the positions of scrolls are determined, so that the multi-scroll chaotic circuit system has odd scrolls; the integration module is used for realizing the inverse integration function of the input signal; the summation module is used for realizing the inverse summation function of the input signals; the display module is used for displaying the multi-scroll track generated by the chaotic circuit module.
Further, the multi-scroll chaotic circuit module comprises ten operational amplifiers, wherein the fourth operational amplifier and the fifth operational amplifier form a step module, the first operational amplifier, the seventh operational amplifier and the ninth operational amplifier form an integral module, and the second operational amplifier, the third operational amplifier, the sixth operational amplifier, the eighth operational amplifier and the tenth operational amplifier form a summation module.
Further, specifically, the inverting input terminal of the fourth operational amplifier OP4 is connected to the output terminal of the second operational amplifier OP2 through a resistor R34, the non-inverting input terminal of the fourth operational amplifier OP4 is connected to a resistor R35 and grounded, and the output terminal of the fourth operational amplifier OP4 is connected to the inverting input terminal of the sixth operational amplifier OP6 through a resistor R38; the inverting input terminal of the fifth operational amplifier OP5 is connected to the output terminal of the third operational amplifier OP3 through a resistor R36, the non-inverting input terminal of the fifth operational amplifier OP5 is connected to a resistor R37 and grounded, and the output terminal of the fifth operational amplifier OP5 is connected to the inverting input terminal of the sixth operational amplifier OP6 through a resistor R39.
Further, in the integration module, specifically, an inverting input terminal of the first operational amplifier OP1 is connected to an output terminal of the tenth operational amplifier OP10 through a resistor R22, connected to an output terminal of the first operational amplifier OP1 through a capacitor C1, a non-inverting input terminal of the first operational amplifier OP1 is connected to a resistor R23 and grounded, an output terminal of the first operational amplifier OP1 is connected to an inverting input terminal of the seventh operational amplifier OP7 through a resistor R45, connected to an inverting input terminal of the second operational amplifier OP2 through a resistor R24, and connected to an inverting input terminal of the third operational amplifier OP3 through a resistor R29; the inverting input end of the seventh operational amplifier OP7 is connected with the output end of the first operational amplifier OP1 through a resistor R45, is connected with the output end of the sixth operational amplifier OP6 through a resistor R42, is connected with the output end of the eighth operational amplifier OP8 through a resistor R43, the non-inverting input end of the seventh operational amplifier OP7 is connected with a resistor R44 and is grounded, the output end of the seventh operational amplifier OP7 is connected with the inverting input end of the tenth operational amplifier OP10 through a resistor R1, is connected with the inverting input end of the eighth operational amplifier OP8 through a resistor R52, and is connected with the inverting input end of the seventh operational amplifier OP7 through a capacitor C2; the inverting input terminal of the ninth operational amplifier OP9 is connected to the output terminal of the sixth operational amplifier OP6 through a resistor R54, to the output terminal of the ninth operational amplifier OP9 through a resistor R46, to the non-inverting input terminal of the ninth operational amplifier OP9 to a resistor R47 and to the ground, to the inverting input terminal of the second operational amplifier OP2 through a resistor R25, to the inverting input terminal of the third operational amplifier OP3 through a resistor R30, and to the inverting input terminal of the ninth operational amplifier OP9 through a capacitor C3.
Further, the summing module is specifically configured such that an inverting input terminal of the second operational amplifier OP2 is connected to an output terminal of the first operational amplifier OP1 through a resistor R24, is connected to an output terminal of the ninth operational amplifier OP9 through a resistor R25, is connected to the power source J3 through a resistor R26, an non-inverting input terminal of the second operational amplifier OP2 is connected to a resistor R28 and is grounded, and an output terminal of the second operational amplifier OP2 is connected to an inverting input terminal of the second operational amplifier OP2 through a resistor R27 and is connected to an inverting input terminal of the fourth operational amplifier OP4 through a resistor R34; the inverting input end of the third operational amplifier OP3 is connected with the output end of the first operational amplifier OP1 through a resistor R29, is connected with the output end of the ninth operational amplifier OP9 through a resistor R30, is connected with a power supply J4 through a resistor R31, the non-inverting input end of the third operational amplifier OP3 is connected with a resistor R33 and is grounded, and the output end of the third operational amplifier OP3 is connected with the inverting input end of the third operational amplifier OP3 through a resistor R32 and is connected with the inverting input end of the fifth operational amplifier OP5 through a resistor R36; the inverting input terminal of the sixth operational amplifier OP6 is connected with the output terminal of the fourth operational amplifier OP4 through a resistor R38, with the output terminal of the fifth operational amplifier OP5 through a resistor R39, the non-inverting input terminal of the sixth operational amplifier OP6 is connected with a resistor R41 and grounded, the output terminal of the sixth operational amplifier OP6 is connected with the inverting input terminal of the sixth operational amplifier OP6 through a resistor R40, with the inverting input terminal of the seventh operational amplifier OP7 through a resistor R42, and with the inverting input terminal of the ninth operational amplifier OP9 through a resistor R54; the inverting input end of the eighth operational amplifier OP8 is connected with the output end of the seventh operational amplifier OP7 through a resistor R52, is connected with the output end of the eighth operational amplifier OP8 through a resistor R53, the non-inverting input end of the eighth operational amplifier OP8 is connected with a resistor R51 and is grounded, and the output end of the eighth operational amplifier OP8 is connected with the inverting input end of the seventh operational amplifier OP7 through a resistor R43; the inverting input terminal of the tenth operational amplifier OP10 is connected to the output terminal of the seventh operational amplifier OP7 through a resistor R1, the non-inverting input terminal of the tenth operational amplifier OP10 is connected to a resistor R49 and grounded, and the output terminal of the tenth operational amplifier OP10 is connected to the inverting input terminal of the tenth operational amplifier OP10 through a resistor R50 and to the inverting input terminal of the first operational amplifier OP1 through a resistor R22. FIG. 4 is an example of component lists and parameter values in an embodiment of the invention.
In the embodiment of the invention, further, the initial oscillation frequency of the chaotic circuit module is set to be 150Hz.
Further, the wireless vibration sensor has the same interval of 30mins.
The invention firstly utilizes the state-adjustable multi-scroll chaotic system, the number and the position of scrolls can be preset by designing interface parameters of the system, and based on harmonic response of the chaotic system, common interference signals are eliminated by utilizing sample library intelligent comparison, so that the monitoring accuracy is improved. Therefore, the invention judges whether leakage exists according to the state change of the multi-scroll chaotic system by remotely monitoring the pipeline leakage point, is easier to identify the system mutation than a common chaotic system, and has stronger anti-interference capability.
It will be understood that modifications and variations will be apparent to those skilled in the art from the foregoing description, and it is intended that all such modifications and variations be included within the scope of the following claims.
Claims (5)
1. The system is characterized by comprising a chaotic circuit module, wireless vibration sensors and a controller, wherein the plurality of wireless vibration sensors are arranged on a water delivery pipeline to be monitored; the initial oscillation frequency of the chaotic circuit module is the midpoint of a low-frequency interval of a frequency spectrum of a leakage signal, a wireless vibration sensor monitors a water pipe at the same time interval and stores the vibration signal, the chaotic circuit module is disturbed by the vibration signal, and if the vibration signal contains the leakage signal, abrupt changes of the scroll number and state of a chaotic system of the chaotic circuit module are caused; the controller compares the data of the chaotic circuit module with a pre-stored signal sample library and judges whether the water transmission pipeline is leaked or not; the chaotic circuit module comprises a circuit power supply module, a step module, an integration module, a summation module and a display module, wherein the circuit power supply module supplies power to the chaotic circuit module, the step module is used for generating scroll interfaces, the number of operational amplifiers in the step module is set, and the number and the positions of scrolls are determined, so that the multi-scroll chaotic circuit system has odd scrolls; the integration module is used for realizing the inverse integration function of the input signal; the summation module is used for realizing the inverse summation function of the input signals; the display module is used for displaying the multi-scroll track generated by the chaotic circuit module; the multi-scroll chaotic circuit module comprises ten operational amplifiers, wherein a step module is formed by a fourth operational amplifier and a fifth operational amplifier, an integrating module is formed by a first operational amplifier, a seventh operational amplifier and a ninth operational amplifier, and a summing module is formed by a second operational amplifier, a third operational amplifier, a sixth operational amplifier, an eighth operational amplifier and a tenth operational amplifier; in the integration module, specifically, an inverting input end of the first operational amplifier OP1 is connected with an output end of the tenth operational amplifier OP10 through a resistor R22, is connected with an output end of the first operational amplifier OP1 through a capacitor C1, an in-phase input end of the first operational amplifier OP1 is connected with a resistor R23 and is grounded, an output end of the first operational amplifier OP1 is connected with an inverting input end of the seventh operational amplifier OP7 through a resistor R45, is connected with an inverting input end of the second operational amplifier OP2 through a resistor R24, and is connected with an inverting input end of the third operational amplifier OP3 through a resistor R29; the inverting input end of the seventh operational amplifier OP7 is connected with the output end of the first operational amplifier OP1 through a resistor R45, is connected with the output end of the sixth operational amplifier OP6 through a resistor R42, is connected with the output end of the eighth operational amplifier OP8 through a resistor R43, the non-inverting input end of the seventh operational amplifier OP7 is connected with a resistor R44 and is grounded, the output end of the seventh operational amplifier OP7 is connected with the inverting input end of the tenth operational amplifier OP10 through a resistor R1, is connected with the inverting input end of the eighth operational amplifier OP8 through a resistor R52, and is connected with the inverting input end of the seventh operational amplifier OP7 through a capacitor C2; the inverting input terminal of the ninth operational amplifier OP9 is connected to the output terminal of the sixth operational amplifier OP6 through a resistor R54, to the output terminal of the ninth operational amplifier OP9 through a resistor R46, to the non-inverting input terminal of the ninth operational amplifier OP9 to a resistor R47 and to the ground, to the inverting input terminal of the second operational amplifier OP2 through a resistor R25, to the inverting input terminal of the third operational amplifier OP3 through a resistor R30, and to the inverting input terminal of the ninth operational amplifier OP9 through a capacitor C3.
2. The chaotic system harmonic response pipeline monitoring system according to claim 1, wherein in the step module, specifically, an inverting input end of a fourth operational amplifier OP4 is connected with an output end of a second operational amplifier OP2 through a resistor R34, a non-inverting input end of the fourth operational amplifier OP4 is connected with a resistor R35 and grounded, and an output end of the fourth operational amplifier OP4 is connected with an inverting input end of a sixth operational amplifier OP6 through a resistor R38; the inverting input terminal of the fifth operational amplifier OP5 is connected to the output terminal of the third operational amplifier OP3 through a resistor R36, the non-inverting input terminal of the fifth operational amplifier OP5 is connected to a resistor R37 and grounded, and the output terminal of the fifth operational amplifier OP5 is connected to the inverting input terminal of the sixth operational amplifier OP6 through a resistor R39.
3. The chaotic system harmonic response pipeline monitoring system according to claim 1, wherein the summing module is characterized in that an inverting input end of the second operational amplifier OP2 is connected with an output end of the first operational amplifier OP1 through a resistor R24, is connected with an output end of the ninth operational amplifier OP9 through a resistor R25, is connected with a power source J3 through a resistor R26, an non-inverting input end of the second operational amplifier OP2 is connected with a resistor R28 and is grounded, and an output end of the second operational amplifier OP2 is connected with an inverting input end of the second operational amplifier OP2 through a resistor R27 and is connected with an inverting input end of the fourth operational amplifier OP4 through a resistor R34; the inverting input end of the third operational amplifier OP3 is connected with the output end of the first operational amplifier OP1 through a resistor R29, is connected with the output end of the ninth operational amplifier OP9 through a resistor R30, is connected with a power supply J4 through a resistor R31, the non-inverting input end of the third operational amplifier OP3 is connected with a resistor R33 and is grounded, and the output end of the third operational amplifier OP3 is connected with the inverting input end of the third operational amplifier OP3 through a resistor R32 and is connected with the inverting input end of the fifth operational amplifier OP5 through a resistor R36; the inverting input terminal of the sixth operational amplifier OP6 is connected with the output terminal of the fourth operational amplifier OP4 through a resistor R38, with the output terminal of the fifth operational amplifier OP5 through a resistor R39, the non-inverting input terminal of the sixth operational amplifier OP6 is connected with a resistor R41 and grounded, the output terminal of the sixth operational amplifier OP6 is connected with the inverting input terminal of the sixth operational amplifier OP6 through a resistor R40, with the inverting input terminal of the seventh operational amplifier OP7 through a resistor R42, and with the inverting input terminal of the ninth operational amplifier OP9 through a resistor R54; the inverting input end of the eighth operational amplifier OP8 is connected with the output end of the seventh operational amplifier OP7 through a resistor R52, is connected with the output end of the eighth operational amplifier OP8 through a resistor R53, the non-inverting input end of the eighth operational amplifier OP8 is connected with a resistor R51 and is grounded, and the output end of the eighth operational amplifier OP8 is connected with the inverting input end of the seventh operational amplifier OP7 through a resistor R43; the inverting input terminal of the tenth operational amplifier OP10 is connected to the output terminal of the seventh operational amplifier OP7 through a resistor R1, the non-inverting input terminal of the tenth operational amplifier OP10 is connected to a resistor R49 and grounded, and the output terminal of the tenth operational amplifier OP10 is connected to the inverting input terminal of the tenth operational amplifier OP10 through a resistor R50 and to the inverting input terminal of the first operational amplifier OP1 through a resistor R22.
4. The chaotic system according to claim 1 or 2, wherein an initial oscillation frequency of the chaotic circuit module is set to 150Hz.
5. The chaotic system harmonic response pipeline monitoring system according to claim 1 or 2, wherein the wireless vibration sensor has a time interval of 30mins at the same interval.
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