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.; Kılıçman, A.; Susai Manuel, M.M.; Mary, J. Property Analysis of Riccati Difference Equation for Load Frequency Controller of Time Delayed Power System Using IMMKF. Preprints.org2020, 2020010036. https://doi.org/10.20944/preprints202001.0036.v1.
Sumathy, M.; Kılıçman, A.; Susai Manuel, M.M.; Mary, J. Property Analysis of Riccati Difference Equation for Load Frequency Controller of Time Delayed Power System Using IMMKF. Preprints.org 2020, 2020010036. https://doi.org/10.20944/preprints202001.0036.v1.
Cite as:
Sumathy, M.; Kılıçman, A.; Susai Manuel, M.M.; Mary, J. Property Analysis of Riccati Difference Equation for Load Frequency Controller of Time Delayed Power System Using IMMKF. Preprints.org2020, 2020010036. https://doi.org/10.20944/preprints202001.0036.v1.
Sumathy, M.; Kılıçman, A.; Susai Manuel, M.M.; Mary, J. Property Analysis of Riccati Difference Equation for Load Frequency Controller of Time Delayed Power System Using IMMKF. Preprints.org 2020, 2020010036. https://doi.org/10.20944/preprints202001.0036.v1.
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 focuses 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 inputset. 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
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
