Prediction of Limit Cycles in two Dimensional Multi Variable Systems with Memory Type Nonlinearity and its Suppression

Select Volume / Issue:

• Volume 8,Issue 1,Jan.,2020

Year:

2020

Type of Publication:

Article

Keywords:

Describing Function, Limit Cycle, State Feedback, Nonlinear System, Multi Variable, Pole Placement, Riccati Equation

Authors:

K. C. Patra; N. Kar

Journal:

IJISM

Volume:

8

Number:

1

Pages:

17-56

Month:

January

ISSN:

2347-9051

Abstract:

This paper deals with the investigation of Limit Cycles occurred in several two dimensional multi variable system with memory type nonlinearities. The feasibility of suppression of such nonlinear self oscillations has been explored by using pole placement technique. The novelty of the work lies with the investigation in case of the memory type non linearity like backlash in particular which is an inherent Characteristic of a Governor used for usual load frequency control of an inter-connected power system. Suppression of Limit Cycle using pole placement is adopted either arbitrary or optimal selection using Riccati Equation through State Feed Back. The analysis is based on harmonic balance technique using analytical and graphical method which has been substantiated by digital simulation / use of SIMULINK Tool Box and the same have been illustrated through several examples.

Full text: IJISM_886_FINAL.pdf [Bibtex]