CN103199552A - Rapid inhibition method for stand-alone infinite electric system chaos oscillation - Google Patents

Rapid inhibition method for stand-alone infinite electric system chaos oscillation Download PDF

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CN103199552A
CN103199552A CN2013100892127A CN201310089212A CN103199552A CN 103199552 A CN103199552 A CN 103199552A CN 2013100892127 A CN2013100892127 A CN 2013100892127A CN 201310089212 A CN201310089212 A CN 201310089212A CN 103199552 A CN103199552 A CN 103199552A
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power system
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oscillation
infinitely great
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Abstract

The invention provides a rapid inhibition method for stand-alone infinite electric system chaos oscillation. The method includes the steps that a mechanism of a stand-alone infinite electric system producing a chaos oscillation phenomenon is firstly given, and a condition of the system producing the nonlinearity chaos oscillation is researched. Rapid inhibition for the stand-alone infinite electric system chaos oscillation is achieved by utilizing of the simplest self-adaptive controller, and correctness of conclusions is verified through experiments.

Description

The infinitely great Chaos Oscillation of Power System of unit suppresses method fast
Technical field
The present invention relates to the infinitely great Chaos Oscillation of Power System of unit and suppress method fast, belong to the electrical engineering field.
Background technology
The guarantee that electric power system is normally carried out as people's daily life and the national economic development, chaos is complicated electric power system contingent a kind of oscillatory occurences in service, in case take place and to constitute serious threat to the safe and stable operation of system, under specific running status, non-linear phenomenas such as saddle knot bifurcated, overcritical, subcritical, Hopf bifurcated, doubling time bifurcated and chaos in the infinitely great electric power system of unit, have also been found.
In order to ensure the safe operation of electric power system, this paper has provided the infinitely great electric power system second nonlinear of unit model, has analyzed the mechanism that causes system the chaotic oscillation phenomenon to occur, and the system of having studied produces vibration Non-Linear Ocsillation condition.
For the research of the infinitely great Chaos Oscillation of Power System of unit, people have proposed the measure of a lot of elimination resonance from different angles, have obtained a lot of achievements in research.The measure of different elimination resonance has been proposed.And the self-adaptation control method that the infinitely great electric power system chaos of unit is suppressed rarely has report.
The present invention adopts an adaptive controller the simplest and easy, can realize the quick inhibition of the infinitely great Chaos Oscillation of Power System of unit.
Summary of the invention
The invention provides the infinitely great Chaos Oscillation of Power System of a kind of unit and suppress method fast, this method at first provides the mechanism that the chaotic oscillation phenomenon appears in the infinitely great electric power system of unit, has studied the condition of system's Non-Linear Ocsillation.And utilize an adaptive controller the simplest to realize the quick inhibition of the infinitely great Chaos Oscillation of Power System of unit, verify the correctness of conclusion by experiment.
The technical scheme concrete steps that the present invention proposes comprise:
The Mathematical Modeling of the infinitely great electric power system of unit is:
Figure 656566DEST_PATH_IMAGE001
(1)
In the formula Be corner,
Figure 254086DEST_PATH_IMAGE003
Be moment of inertia;
Figure 306356DEST_PATH_IMAGE004
Be relative rotation speed; Be electromagnetic torque;
Figure 682291DEST_PATH_IMAGE006
Be mechanical torque;
Figure 726470DEST_PATH_IMAGE007
Be coefficient of friction.
Wherein, electromagnetic torque Can be expressed as:
Figure 395141DEST_PATH_IMAGE008
(2)
In the formula,
Figure 828397DEST_PATH_IMAGE009
Be the generator builtin voltage,
Figure 43477DEST_PATH_IMAGE010
Be wireless bus voltage, Be generator and transformer additional impedance.
Mechanical torque Can be expressed as:
Figure 497090DEST_PATH_IMAGE012
(3)
By (2) formula and (3) formula, equation (1) can be changed into:
Figure 758438DEST_PATH_IMAGE013
(4)
In the formula,
Figure 272596DEST_PATH_IMAGE014
Setting the most easy adaptive controller of the infinitely great Chaos Oscillation of Power System inhibition of unit is:
(5)
Wherein,
Figure 13336DEST_PATH_IMAGE016
For the adaptive updates rule also can be expressed as
Figure 711164DEST_PATH_IMAGE017
(6)
Wherein,
Figure 447039DEST_PATH_IMAGE018
Be positive constant, utilize above-mentioned adaptive controller can realize the quick inhibition of the infinitely great Chaos Oscillation of Power System of unit.
Technique effect of the present invention: the technical scheme that the infinitely great Chaos Oscillation of Power System of above-mentioned a kind of unit that the present invention proposes suppresses, this method at first provide the mechanism that the chaotic oscillation phenomenon appears in the infinitely great electric power system of unit, and the system of having studied produces the condition of Non-Linear Ocsillation.And utilize an adaptive controller the simplest to realize the quick inhibition of the infinitely great Chaos Oscillation of Power System of unit, verify the correctness of conclusion by experiment.
Description of drawings
Fig. 1 is the infinitely great NETWORK STRUCTURE PRESERVING POWER SYSTEM figure of unit.
Fig. 2 is system's (4) time-domain response and chaos attractor thereof
Figure 177098DEST_PATH_IMAGE019
(a) system's chaos attractor (b) vibration time-domain response.
Fig. 3 is that embodiment 1 resonance oscillations suppresses (a)
Figure 452834DEST_PATH_IMAGE020
And
Figure 180618DEST_PATH_IMAGE021
Time-domain response.
Fig. 4 is embodiment 1 resonance oscillations Adaptive Suppression Response.
Embodiment
Embodiment:
The technical scheme concrete steps that the present invention proposes comprise:
The infinitely great electric power system block diagram of unit as shown in Figure 1, its Mathematical Modeling is:
Figure 547326DEST_PATH_IMAGE001
(1)
In the formula
Figure 664186DEST_PATH_IMAGE002
Be corner,
Figure 375922DEST_PATH_IMAGE003
Be moment of inertia;
Figure 617547DEST_PATH_IMAGE004
Be relative rotation speed;
Figure 627091DEST_PATH_IMAGE005
Be electromagnetic torque;
Figure 864038DEST_PATH_IMAGE006
Be mechanical torque; Be coefficient of friction.
Wherein, electromagnetic torque
Figure 944437DEST_PATH_IMAGE005
Can be expressed as:
Figure 147886DEST_PATH_IMAGE008
(2)
In the formula,
Figure 645863DEST_PATH_IMAGE009
Be the generator builtin voltage,
Figure 620772DEST_PATH_IMAGE010
Be wireless bus voltage,
Figure 381530DEST_PATH_IMAGE011
Be generator and transformer additional impedance.
Mechanical torque
Figure 857511DEST_PATH_IMAGE006
Can be expressed as:
Figure 944416DEST_PATH_IMAGE012
(3)
By (2) formula and (3) formula, equation (1) can be changed into:
Figure 965593DEST_PATH_IMAGE013
(4)
In the formula,
Figure 200265DEST_PATH_IMAGE014
Work as parameter
Figure 620882DEST_PATH_IMAGE023
The time, system (4) chaos attractor and time-domain response thereof occur respectively shown in Fig. 2 (a) and (b).
Setting the most easy adaptive controller of the infinitely great Chaos Oscillation of Power System inhibition of unit is
(5)
Wherein, For the adaptive updates rule also can be expressed as
Figure 7498DEST_PATH_IMAGE017
(6)
Wherein,
Figure 700647DEST_PATH_IMAGE018
Be positive constant, when
Figure 637510DEST_PATH_IMAGE024
The time, utilizing above-mentioned adaptive controller, it suppresses the result as shown in Figure 3, parameter
Figure 390703DEST_PATH_IMAGE022
The automated response result as shown in Figure 4.
From Fig. 3, Fig. 4 as can be seen, this kind said method can effectively suppress the chaotic oscillation phenomenon of unit electric power system.
The electric power output result that this method is stable is good.Use the result to show that this method has the good restraining degree for the noise level in the unit electric power system and harmonic wave, compare with similar unit electric power system, can obtain better electric power output effect.

Claims (3)

1. the infinitely great Chaos Oscillation of Power System of unit suppresses method fast, it is characterized in that: this method at first provides the mechanism that the chaotic oscillation phenomenon appears in the infinitely great electric power system of unit, the system of having studied produces the condition of non-linear chaotic oscillation, and utilize an adaptive controller the simplest to realize the quick inhibition of the infinitely great Chaos Oscillation of Power System of unit, verify the correctness of conclusion by experiment.
2. method according to claim 1 is characterized in that: the Mathematical Modeling of the infinitely great electric power system of unit is:
Figure 545462DEST_PATH_IMAGE001
(1)
In the formula
Figure 420008DEST_PATH_IMAGE002
Be corner,
Figure 297834DEST_PATH_IMAGE003
Be moment of inertia;
Figure 444782DEST_PATH_IMAGE004
Be relative rotation speed; Be electromagnetic torque;
Figure 529729DEST_PATH_IMAGE006
Be mechanical torque;
Figure 453823DEST_PATH_IMAGE007
Be coefficient of friction; Wherein, electromagnetic torque
Figure 353646DEST_PATH_IMAGE005
Can be expressed as:
Figure 526614DEST_PATH_IMAGE008
(2)
In the formula,
Figure 359441DEST_PATH_IMAGE009
Be the generator builtin voltage,
Figure 454435DEST_PATH_IMAGE010
Be wireless bus voltage,
Figure 451341DEST_PATH_IMAGE011
Be generator and transformer additional impedance; Mechanical torque Can be expressed as:
(3)
By (2) formula and (3) formula, equation (1) can be changed into:
Figure 774372DEST_PATH_IMAGE013
(4)
In the formula,
Figure 727416DEST_PATH_IMAGE014
3. method according to claim 1 is characterized in that: the infinitely great Chaos Oscillation of Power System of its unit suppresses the most easy adaptive controller and is
Figure 432067DEST_PATH_IMAGE015
(5)
Wherein,
Figure 786956DEST_PATH_IMAGE016
For the adaptive updates rule also can be expressed as
Figure 489333DEST_PATH_IMAGE017
(6)
Wherein,
Figure 178940DEST_PATH_IMAGE018
Be positive constant, utilize above-mentioned adaptive controller can realize the quick inhibition of the infinitely great Chaos Oscillation of Power System of unit.
CN2013100892127A 2013-03-20 2013-03-20 Rapid inhibition method for stand-alone infinite electric system chaos oscillation Pending CN103199552A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106647277A (en) * 2017-01-06 2017-05-10 淮阴工学院 Self-adaptive dynamic surface control method of arc-shaped mini-sized electromechanical chaotic system

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1734878A (en) * 2005-07-18 2006-02-15 西安交通大学 Control method for restraining oscillate based on mixed electric power filter
CN102035211A (en) * 2010-10-26 2011-04-27 国家电网公司 Method, device and system for inhibiting low-frequency oscillation of power system
CN102496945A (en) * 2011-12-07 2012-06-13 天津理工大学 Passive control method of four-order chaotic power system

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1734878A (en) * 2005-07-18 2006-02-15 西安交通大学 Control method for restraining oscillate based on mixed electric power filter
CN102035211A (en) * 2010-10-26 2011-04-27 国家电网公司 Method, device and system for inhibiting low-frequency oscillation of power system
CN102496945A (en) * 2011-12-07 2012-06-13 天津理工大学 Passive control method of four-order chaotic power system

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
王少夫: "电力***混沌振荡分析及其自适应控制", 《中国优秀硕士学位论文全文数据库 工程科学Ⅱ辑》 *
王辉: "单机无穷大***的暂稳态分析", 《江西电力职业技术学院学报》 *

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106647277A (en) * 2017-01-06 2017-05-10 淮阴工学院 Self-adaptive dynamic surface control method of arc-shaped mini-sized electromechanical chaotic system
CN106647277B (en) * 2017-01-06 2019-06-11 淮阴工学院 The adaptive dynamic surface control method of arc microelectromechanicpositioning chaos system

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Application publication date: 20130710