Investigation of limit cycles and signal stabilization of two dimensional systems with memory type nonlinear elements

• Autorzy: Patra K. C. , Dakua B. K.

Identyfikatory

DOI

10.24425/123461

• Języki publikacji: EN

Abstrakty

EN

The paper presents a simple, systematic and novel graphical method which uses computer graphics for prediction of limit cycles in two dimensional multivariable nonlinear system having rectangular hysteresis and backlash type nonlinearities. It also explores the avoidance of such self-sustained oscillations by determining the stability boundary of the system. The stability boundary is obtained using simple Routh Hurwitz criterion and the incremental input describing function, developed from harmonic balance concept. This may be useful in interconnected power system which utilizes governor control. If the avoidance of limit cycle or a safer operating zone is not possible, the quenching of such oscillations may be done by using the signal stabilization technique which is also described. The synchronization boundary is laid down in the forcing signal amplitudes plane using digital simulation. Results of digital simulations illustrate accuracy of the method for 2×2 systems.

Słowa kluczowe

EN

describing function; dither signal; incremental input describing function; limit cycles; signal stabilization; stability boundary

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2018
• Tom: Vol. 28, No. 2
• Strony: 285--330
• Opis fizyczny: Bibliogr. 37 poz., rys., tab., wykr., wzory

Twórcy

autor

Patra K. C.

• Department of Electrical Engineering, C.V. Raman College of Engineering, Bhubaneswar, Odisha (INDIA) 752054

autor

Dakua B. K.

• Department of Electrical Engineering, C.V. Raman College of Engineering, Bhubaneswar, Odisha (INDIA) 752054

Bibliografia

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Uwagi

EN

The authors wish to thank the C.V. Raman College of Engineering, Bhubaneswar – 752054, Odisha, India, for providing computer facilities for carrying out the research and the preparation of this paper.

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).