An LMI approach to the design of robust delay-dependent overlapping load frequency control of uncertain power systems

Ahmadi, Adel; Aldeen, M.

doi:10.1016/j.ijepes.2016.02.001

Cited by 46 publications

(20 citation statements)

References 20 publications

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“…The impact of these delays on the stability of one-area and two-area LFC systems and an analytical method to determine delay margins, for stability is proposed in [23]. An LFC approach based on LMI theory to design a robust controller in delayed control signals is proposed in [2] and of the equivalent seven stability criteria is established in [25]. The present estimation problem is based on the measured data to approximate the values of the unknown parameters used from the measured data.…”

Section: Introductionmentioning

confidence: 99%

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

Sumathy¹,

Kılıçman²,

Manuel³

et al. 2020

Preprint

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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 inputset. The qualitative properties of Riccati difference equation(RDE) in terms of state error covariance of IMMKF are also analyzed and presented.

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Section: Introductionmentioning

confidence: 99%

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

Sumathy¹,

Kılıçman²,

Manuel³

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…The computation of gain and phase margin based stability delay margin using Rekasius substitution is investigated in [24]. An LFC approach based on LMI theory to design a robust controller in delayed control signals is proposed in [2] and of the equivalent seven stability criteria is established in [26]. The present estimation problem is based on the measured data to approximate the values of the unknown parameters used from the measured data.…”

Section: Introductionmentioning

confidence: 99%

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

Sumathy¹,

Manuel²,

Kılıçman³

et al. 2020

Preprint

View full text Add to dashboard Cite

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.

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“…Combined with a linear matrix inequality (LMI) approach [22], the Riccati matrix equations could be solved easily [23]. Several above references also indicated that a LMI approach was widely applied to analyze the stability of the control systems with time-delay [24,25] or design time-delay compensation controllers [26,27]. Although the timevarying delay compensation was considered in a GCC system [28], structural parametric uncertainties including stiffness and mass variations reduced the performance of the control system.…”

Section: Introductionmentioning

confidence: 99%

A State Feedback Controller Based on GCC Algorithm against Wind‐Induced Motion for High‐Rise Buildings with Parametric Uncertainties

Chen

Teng

et al. 2019

Shock and Vibration

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High-rise buildings with an active mass damper/driver (AMD) system generally use a simplified mathematical model. e result leads to parametric uncertainties including the stiffness and mass variations exist, and the accuracy of its controller is seriously affected. In view of the above uncertainties, based on a Lyapunov stability theory and linear matrix inequality (LMI) approach, a state feedback controller based on the guaranteed cost control (GCC) algorithm is proposed in this paper. A ten-storey frame with an AMD system is taken as a numerical example, and its control effect and AMD parameters are viewed as the control indexes. e performance of the proposed robust controller is compared with a conventional controller based on the classical LQR algorithm. e analysis results show that the new controller effectively suppresses the dynamic responses of high-rise buildings with parametric uncertainties and keeps the AMD parameters stable. Finally, a four-storey steel experimental frame with an AMD system is used to verify the correctness of the conclusions.

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An LMI approach to the design of robust delay-dependent overlapping load frequency control of uncertain power systems

Cited by 46 publications

References 20 publications

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

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

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

A State Feedback Controller Based on GCC Algorithm against Wind‐Induced Motion for High‐Rise Buildings with Parametric Uncertainties

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