The Decomposition Method in Issues of Researching Electric-Power Systems with Dry Friction

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The Decomposition Method in Issues of Researching Electric-Power Systems with Dry Friction. / Kamachkin, A. M.; Sogonov, S. A.; Shamberov, V. N.

In: Russian Electrical Engineering, Vol. 88, No. 12, 01.12.2017, p. 827-831.

Research output: Contribution to journal › Article › peer-review

Author

Kamachkin, A. M. ; Sogonov, S. A. ; Shamberov, V. N. / The Decomposition Method in Issues of Researching Electric-Power Systems with Dry Friction. In: Russian Electrical Engineering. 2017 ; Vol. 88, No. 12. pp. 827-831.

BibTeX

@article{2c4ac162d23242d3b37f33fbee6eff6f,

title = "The Decomposition Method in Issues of Researching Electric-Power Systems with Dry Friction",

abstract = "Electrical engines are widespread in all areas of industry and technology. Electrical actuators are widely used as an actuating motor regulating the interconnected controls of different machines. Increased demands for precision in interconnected controls make it very important to consider dry friction in the executive mechanism. The consideration of dry friction in a mathematical model of an automatic system considerably complicates its analysis. In all known practical cases of research into such issues, the research is carried out by means of computing or analytically, but using a considerably simplified model of the dry-friction law. This simplified presentation does not allow one to uncover and understand the true (or apparent) reasons for loss of stability in a system accompanied by friction self-oscillations of different kinds (periodical, chaotic etc.). The decomposition method of parameter space presented in the current work allows investigation of nonautonomous nonlinear multivariable systems via basic subsystems (both linear and nonlinear) that have a lower-order state space and are amenable to strict analysis.",

keywords = "basic subsystems, decomposition of the system, many-dimensional nonlinear dynamical system, nonsingular linear transformation, state space, state variables",

author = "Kamachkin, {A. M.} and Sogonov, {S. A.} and Shamberov, {V. N.}",

year = "2017",

month = dec,

day = "1",

doi = "10.3103/S1068371217120082",

language = "English",

volume = "88",

pages = "827--831",

journal = "Russian Electrical Engineering",

issn = "1068-3712",

publisher = "Allerton Press, Inc.",

number = "12",

}

RIS

TY - JOUR

T1 - The Decomposition Method in Issues of Researching Electric-Power Systems with Dry Friction

AU - Kamachkin, A. M.

AU - Sogonov, S. A.

AU - Shamberov, V. N.

PY - 2017/12/1

Y1 - 2017/12/1

N2 - Electrical engines are widespread in all areas of industry and technology. Electrical actuators are widely used as an actuating motor regulating the interconnected controls of different machines. Increased demands for precision in interconnected controls make it very important to consider dry friction in the executive mechanism. The consideration of dry friction in a mathematical model of an automatic system considerably complicates its analysis. In all known practical cases of research into such issues, the research is carried out by means of computing or analytically, but using a considerably simplified model of the dry-friction law. This simplified presentation does not allow one to uncover and understand the true (or apparent) reasons for loss of stability in a system accompanied by friction self-oscillations of different kinds (periodical, chaotic etc.). The decomposition method of parameter space presented in the current work allows investigation of nonautonomous nonlinear multivariable systems via basic subsystems (both linear and nonlinear) that have a lower-order state space and are amenable to strict analysis.

AB - Electrical engines are widespread in all areas of industry and technology. Electrical actuators are widely used as an actuating motor regulating the interconnected controls of different machines. Increased demands for precision in interconnected controls make it very important to consider dry friction in the executive mechanism. The consideration of dry friction in a mathematical model of an automatic system considerably complicates its analysis. In all known practical cases of research into such issues, the research is carried out by means of computing or analytically, but using a considerably simplified model of the dry-friction law. This simplified presentation does not allow one to uncover and understand the true (or apparent) reasons for loss of stability in a system accompanied by friction self-oscillations of different kinds (periodical, chaotic etc.). The decomposition method of parameter space presented in the current work allows investigation of nonautonomous nonlinear multivariable systems via basic subsystems (both linear and nonlinear) that have a lower-order state space and are amenable to strict analysis.

KW - basic subsystems

KW - decomposition of the system

KW - many-dimensional nonlinear dynamical system

KW - nonsingular linear transformation

KW - state space

KW - state variables

UR - http://www.scopus.com/inward/record.url?scp=85042362512&partnerID=8YFLogxK

U2 - 10.3103/S1068371217120082

DO - 10.3103/S1068371217120082

M3 - Article

AN - SCOPUS:85042362512

VL - 88

SP - 827

EP - 831

JO - Russian Electrical Engineering

JF - Russian Electrical Engineering

SN - 1068-3712

IS - 12

ER -

ID: 42556812