Abstract
Abstract: A number of requirements are imposed upon the group of promising discrete mathematical models: a small sampling interval, the guaranteed asymptotic (Lyapunov) stability, explicit nature of numerical methods, and program and algorithmic optimization of calculations. The application of bilinear transformation to construct a discrete mathematical model of a synchronous electric machine with a turn-to-turn fault of the rotor winding is considered. This approach makes it possible to tackle a number of problems which arise when standard methods for solving a Cauchy problem are used—namely, nonstationarity of dynamical systems and influence of the integration error on the accuracy. A transfer from a system of differential equations, describing the physics of synchronous generator operation, to difference equations is considered. Based on the difference equations obtained, a structural scheme is composed which allows the mathematical model software to be implemented on the microcontroller without involving additional mathematical functions. The experimental testing of adequacy of the discrete mathematical model of a synchronous generator with a turn-to-turn fault is performed. The proposed approach can be used to solve problems on identification of turn-to-turn faults, where an adequate high-speed and stable model is necessary.
| Original language | English |
|---|---|
| Pages (from-to) | 113-120 |
| Number of pages | 8 |
| Journal | Russian Electrical Engineering |
| Volume | 90 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Feb 2019 |
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Keywords
- discrete mathematical model
- Laplace transform. z-transform
- rotor winding
- synchronous electric machine
- turn-to-turn fault
- Tustin transform
ASJC Scopus subject areas
- Electrical and Electronic Engineering
Cite this
A Discreet Mathematical Model Based on the Bilinear Transformation of a Synchronous Electric Machine with a Turn-to-Turn Fault in the Rotor Winding. / Polishchuk, V. I.; Timoshkin, V. V.; Glazyrin, A. S.; Bolovin, E. V.
In: Russian Electrical Engineering, Vol. 90, No. 2, 01.02.2019, p. 113-120.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A Discreet Mathematical Model Based on the Bilinear Transformation of a Synchronous Electric Machine with a Turn-to-Turn Fault in the Rotor Winding
AU - Polishchuk, V. I.
AU - Timoshkin, V. V.
AU - Glazyrin, A. S.
AU - Bolovin, E. V.
PY - 2019/2/1
Y1 - 2019/2/1
N2 - Abstract: A number of requirements are imposed upon the group of promising discrete mathematical models: a small sampling interval, the guaranteed asymptotic (Lyapunov) stability, explicit nature of numerical methods, and program and algorithmic optimization of calculations. The application of bilinear transformation to construct a discrete mathematical model of a synchronous electric machine with a turn-to-turn fault of the rotor winding is considered. This approach makes it possible to tackle a number of problems which arise when standard methods for solving a Cauchy problem are used—namely, nonstationarity of dynamical systems and influence of the integration error on the accuracy. A transfer from a system of differential equations, describing the physics of synchronous generator operation, to difference equations is considered. Based on the difference equations obtained, a structural scheme is composed which allows the mathematical model software to be implemented on the microcontroller without involving additional mathematical functions. The experimental testing of adequacy of the discrete mathematical model of a synchronous generator with a turn-to-turn fault is performed. The proposed approach can be used to solve problems on identification of turn-to-turn faults, where an adequate high-speed and stable model is necessary.
AB - Abstract: A number of requirements are imposed upon the group of promising discrete mathematical models: a small sampling interval, the guaranteed asymptotic (Lyapunov) stability, explicit nature of numerical methods, and program and algorithmic optimization of calculations. The application of bilinear transformation to construct a discrete mathematical model of a synchronous electric machine with a turn-to-turn fault of the rotor winding is considered. This approach makes it possible to tackle a number of problems which arise when standard methods for solving a Cauchy problem are used—namely, nonstationarity of dynamical systems and influence of the integration error on the accuracy. A transfer from a system of differential equations, describing the physics of synchronous generator operation, to difference equations is considered. Based on the difference equations obtained, a structural scheme is composed which allows the mathematical model software to be implemented on the microcontroller without involving additional mathematical functions. The experimental testing of adequacy of the discrete mathematical model of a synchronous generator with a turn-to-turn fault is performed. The proposed approach can be used to solve problems on identification of turn-to-turn faults, where an adequate high-speed and stable model is necessary.
KW - discrete mathematical model
KW - Laplace transform. z-transform
KW - rotor winding
KW - synchronous electric machine
KW - turn-to-turn fault
KW - Tustin transform
UR - http://www.scopus.com/inward/record.url?scp=85066239787&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85066239787&partnerID=8YFLogxK
U2 - 10.3103/S1068371219020081
DO - 10.3103/S1068371219020081
M3 - Article
AN - SCOPUS:85066239787
VL - 90
SP - 113
EP - 120
JO - Russian Electrical Engineering
JF - Russian Electrical Engineering
SN - 1068-3712
IS - 2
ER -