Further Improvement on Delay-Dependent Load Frequency Control of Power Systems via Truncated B–L Inequality

Yang, Feisheng; He, Jing; Pan, Quan

doi:10.1109/tpwrs.2018.2816814

Cited by 70 publications

(25 citation statements)

References 28 publications

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“…These time varying delays have a chance of varying from area to area. However, with same network protocols and measurement technique in different areas and the transmission medium together with the physical transmission distance to be almost same, this would guarantee all delays vary in the same manner in each area (Yang et al 2018).…”

Section: Resultsmentioning

confidence: 99%

Prediction-based super twisting sliding mode load frequency control for multi-area interconnected power systems with state and input time delays using disturbance observer

Dev

Léchappé

Sarkar

2019

International Journal of Control

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A shift in paradigm from dedicated to open communication channels in power systems have made them prone to constant and time varying delays. This paper tackles a novel load frequency control (LFC) problem in the presence of constant and time varying delays in state and control input under load disturbances. The presence of time delays can deteriorate the performance of the controller or even destabilize the system. The above problem is addressed through a prediction-based super twisting sliding mode control (ST-SMC) using a state and disturbance observer. The proposed design achieves finite time convergence of frequency and tie line power deviation. The said design is validated under ramp and random step disturbance, with nonlinearities like generation rate constraints and governor deadband, with an integration of renewable energy and also with IEEE 39 bus power system. The closed loop stability is proven thanks to candidate Lyapunov function and verified by simulations.

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Section: Resultsmentioning

confidence: 99%

Prediction-based super twisting sliding mode load frequency control for multi-area interconnected power systems with state and input time delays using disturbance observer

Dev

Léchappé

Sarkar

2019

International Journal of Control

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“…Different from the traditional time-delayed power systems [24], EVs participating in LFC in time-delayed power system with EV aggregators. We consider N areas time-delayed LFC systems, and each one consists of m governors and turbines and n EVs.…”

Section: Model Of Time-delayed Lfc System With Ev Aggregatorsmentioning

confidence: 99%

Load Frequency Stability Analysis of Time-Delayed Multi-Area Power Systems With EV Aggregators Based on Bessel-Legendre Inequality and Model Reconstruction Technique

2020

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This paper investigates the stability of time-delayed load frequency control (LFC) systems with electric vehicles (EV) aggregators based on Lyapunov theory and linear matrix inequality (LMI) technology. A novel Lyapunov-Krasovskii functional (LKF) is constructed. Then, based on Bessel-Legendre (B-L) inequality and model reconstruction technique, two stability criteria are derived, respectively. Some simulations are carried out to verify the effectiveness of the proposed methods. And the interaction of time-delays between areas and the effect of gains of EVs on delay margins are discussed. INDEX TERMS Electric vehicles, load frequency control, Bessel-Legendre inequality, model reconstruction technique.

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“…Yu and Tomsovic [7] applied a simple LMI stability criterion for computing the delay margin of an LFC system; however, the results were very conservative. In Reference [20] an improved delay-dependent stability method of load frequency control system was presented. The Lyapunov-Krasovskii functional was used where the time derivative was bounded using truncated second-order Bessel-Legendre (B-L) inequality.…”

Section: Introductionmentioning

confidence: 99%

A New Method for Computing the Delay Margin for the Stability of Load Frequency Control Systems

Khalil

Peng

2018

Energies

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Open communication is an exigent need for future power systems, where time delay is unavoidable. In order to secure the stability of the grid, the frequency must remain within its limited range which is achieved through the load frequency control. Load frequency control signals are transmitted through communication networks which induce time delays that could destabilize power systems. So, in order to guarantee stability, the delay margin should be computed. In this paper, we present a new method for calculating the delay margin in load frequency control systems. The transcendental time delay characteristics equation is transformed into a frequency dependent equation. The spectral radius was used to find the frequencies at which the root crosses the imaginary axis. The crossing frequencies were determined through the sweeping test and the binary iteration algorithm. A one-area load frequency control system was chosen as a case study. The effectiveness of the proposed method was proven through comparison with the most recent published methods. The method shows its merit with less conservativeness and less computations. The impact of the proportional integral (PI) controller gains on the delay margin was investigated. It was found that increasing the PI controller gains reduces the delay margin.

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Further Improvement on Delay-Dependent Load Frequency Control of Power Systems via Truncated B–L Inequality

Cited by 70 publications

References 28 publications

Prediction-based super twisting sliding mode load frequency control for multi-area interconnected power systems with state and input time delays using disturbance observer

Prediction-based super twisting sliding mode load frequency control for multi-area interconnected power systems with state and input time delays using disturbance observer

Load Frequency Stability Analysis of Time-Delayed Multi-Area Power Systems With EV Aggregators Based on Bessel-Legendre Inequality and Model Reconstruction Technique

A New Method for Computing the Delay Margin for the Stability of Load Frequency Control Systems

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