Stability Region in the Parameter Space of PI Controller for a Single-Area Load Frequency Control System With Time Delay

Sönmez, Şahin; Ayasun, Saffet

doi:10.1109/tpwrs.2015.2412678

Cited by 134 publications

(75 citation statements)

References 2 publications

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“…So far, many methods have been developed and applied to analyze the influence of the time delay so as to find the delay bounds, within which the LFC scheme can still work, mainly including the frequency-domain method [10][11][12] and the time-domain method [13][14][15]. The main idea of the former is to discuss the distribution of the characteristic values for the closed-loop LFC system based on characteristic index equation.…”

Section: Introductionmentioning

confidence: 99%

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An Improved Stability Criterion for Load Frequency Control of Power Systems with Time-Varying Delays

et al. 2020

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This paper aims at developing a novel stability criterion to access the influence of the time-varying delay on the stability of power systems equipped with a proportional-integral (PI)-based load frequency control (LFC). The model of the LFC scheme considering time-varying communication delays is established at first. Then, an improved stability condition related to the information of delay bounds is deduced by constructing an augmented Lyapunov-Krasovski functional and using a matrix inequality, and it is expressed as linear matrix inequalities (LMIs) for easily checking. Finally, case studies for one-area and two-area LFC systems are carried out to show the relationship between delay margins ensuring the stability and the PI gains of the LFC, and also verify the superiority of proposed stability criterion compared with the previous ones.Energies 2020, 13, 2101 2 of 14 regular polynomial [11]. Furthermore, the method proposed in [12] realized the elimination process of transforming the transcendental characteristic equation into the cross frequency standard polynomial. The frequency-domain method can acquire accurate stability margins under the case of constant delays, while it cannot process the case of time-varying delays and has certain limitations. For the time-varying delays, the time-domain method based on the Lyapunov stability theory is more available.The delay margin of the traditional multi-area LFC scheme [14] and the deregulated market environment [15] as well as the relationship between the delay margin and the proportional-integral (PI) gain were discussed. However, since the stability analysis that produces these standards rely on a large number of free weighted matrix variables, the amount of calculation is huge. In [5,16], by taking into account both the random delays and the data packet, the stability of LFC scheme was discussed, but they did not put forward any way based on the delay stability margin to estimate the performance of the control system. In order to obtain more accurate stability margins, the delay correlation stability for a deregulated LFC system with probabilistic interval delays [17] or two additive time-varying delays [18] were analyzed through developing less conservative stability criteria. In [19], for the multi-area power systems, the exponential stability problem was investigated based on a transformed switching system with multiple time delays. By modeling the load disturbances as bounded perturbations, the authors in [20] analyzed the delay-and disturbance-dependent stability of the LFC system. Moreover, several stability criteria established via the double integral inequality in the form of auxiliary function [21], the truncated B-L inequality [22], and improved integral inequality [23] were used to improve the results.Although the aforementioned criteria were developed via different methods, the existing research results still have room for improvement. More specifically, the criteria developed are used to understand the influence of the delay on the stability of the...

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Section: Introductionmentioning

confidence: 99%

“…The main idea of the former is to discuss the distribution of the characteristic values for the closed-loop LFC system based on characteristic index equation. In [10], a two-dimensional region was used for the visualization of the stability of the LFC system. In order to simplify the procedure of analysis, Sonmez…”

Section: Introductionmentioning

confidence: 99%

An Improved Stability Criterion for Load Frequency Control of Power Systems with Time-Varying Delays

et al. 2020

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“…The proportion integral derivative (PID) controllers, due to their simple structure and easy to implementation, were widely utilized to design load frequency controllers. In [18][19][20][21], controller parameter selections are posed as a multi-objective constraints problem and solved by optimization algorithms, but the robust stability and robust performance of PID controllers are not satisfactory. In [22,23], fuzzy methods are utilized to design a frequency controller to keep the micro-grid frequency stable, and this method has better performance robustness towards system parameter perturbations, but the control precision cannot be guaranteed because of the fuzziness of this method.…”

Section: Introductionmentioning

confidence: 99%

Differential Evolution-Based Load Frequency Robust Control for Micro-Grids with Energy Storage Systems

Wang

Xiao

2018

Energies

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Abstract:In this paper, the secondary load frequency controller of the power systems with renewable energies is investigated by taking into account internal parameter perturbations and stochastic disturbances induced by the integration of renewable energies, and the power unbalance caused between the supply side and demand side. For this, the µ-synthesis robust approach based on structure singular value is researched to design the load frequency controller. In the proposed control scheme, in order to improve the power system stability, an ultracapacitor is introduced to the system to rapidly respond to any power changes. Firstly, the load frequency control model with uncertainties is established, and then, the robust controller is designed based on µ-synthesis theory. Furthermore, a novel method using integrated system performance indexes is proposed to select the weighting function during controller design process, and solved by a differential evolution algorithm. Finally, the controller robust stability and robust performance are verified via the calculation results, and the system dynamic performance is tested via numerical simulation. The results show the proposed method greatly improved the load frequency stability of a micro-grid power system.

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“…To obtain the stable parameter space, stability boundary locus method which is a frequency based graphical method given in [25] will be used. The obtained results will be verified by time domain simulations.…”

Section: Introductionmentioning

confidence: 99%

PI Kontrolörlü Otomatik Gerilim Regülasyon Sisteminin Kararlılık Analizi

Özdemir

Çelik

2017

SAÜ Fen Bilimleri Enstitüsü Dergisi

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The system voltage is one of the most important parameters, which determines the power quality. The stability of the system voltage is critical for the power system. This paper investigates the stability analysis of the automatic voltage regulation system controlled by a PI controller related to the controller gains. For this purpose, a graphical-based technique called as the stability boundary locus method is proposed in the paper to obtain the stable parameters space of PI controller gains. Stability of closed region computed on parameters space determines from roots of characteristic equation of automatic voltage regulation system. The time-domain simulations are performed in Matlab/Simulink environment to validate the theoretical results.

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Stability Region in the Parameter Space of PI Controller for a Single-Area Load Frequency Control System With Time Delay

Cited by 134 publications

References 2 publications

An Improved Stability Criterion for Load Frequency Control of Power Systems with Time-Varying Delays

An Improved Stability Criterion for Load Frequency Control of Power Systems with Time-Varying Delays

Differential Evolution-Based Load Frequency Robust Control for Micro-Grids with Energy Storage Systems

PI Kontrolörlü Otomatik Gerilim Regülasyon Sisteminin Kararlılık Analizi

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