Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Property Analysis of Riccati Difference Equation for Load Frequency Controller of Time Delayed Power System Using IMMKF

Version 1 : Received: 4 January 2020 / Approved: 5 January 2020 / Online: 5 January 2020 (15:09:49 CET)
Version 2 : Received: 11 February 2020 / Approved: 14 February 2020 / Online: 14 February 2020 (03:47:50 CET)

How to cite: Sumathy, M.; Susai Manuel, M.M.; Kılıçman, A.; Mary, J. Property Analysis of Riccati Difference Equation for Load Frequency Controller of Time Delayed Power System Using IMMKF. Preprints 2020, 2020010036. https://doi.org/10.20944/preprints202001.0036.v2 Sumathy, M.; Susai Manuel, M.M.; Kılıçman, A.; Mary, J. Property Analysis of Riccati Difference Equation for Load Frequency Controller of Time Delayed Power System Using IMMKF. Preprints 2020, 2020010036. https://doi.org/10.20944/preprints202001.0036.v2

Abstract

In this paper, initially a mathematical model is formulated for transient frequency of power system considering time delays which occur while transmitting the control signals in open communication infrastructure. Time delay negligence in a power system leads to improper measurement of frequency variation in power system. The study of impact of time delays on the stability of power system is performed by estimating the decay rate of frequency wave form using Kalman Filter (KF). In power system, there is a possibility of multiple time delays. This paper also focusses on developing Interacting Multiple Model (IMM) Algorithm with multiple model space using Kalman Filter (KF) as state estimator tool. The multiple time delays in power system is considered as multiple model space. The result shows that KF provides better estimate of correct model for a particular input-set. The qualitative properties of Riccati difference equation (RDE) in terms of state error covariance of IMMKF are also analyzed and presented.

Keywords

Riccati Difference equations; Power System Stability; Interacting Multiple Model Kalman Filter; Load frequency controller; Time Delays

Subject

Computer Science and Mathematics, Applied Mathematics

Comments (1)

Comment 1
Received: 14 February 2020
Commenter: Adem Kilicman
Commenter's Conflict of Interests: Author
Comment: Revised version based on the reviewers' comments.
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