Abstract
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.
Highlights
Whether it is the traditional power system under the vertical integration mode, or deregulated power system composed of different market players, the stability of load frequency is one of the most important indexes to measure the normal operation of the power grid [1]
This paper gives a load frequency stability analysis of time-delayed multi-area power systems with electric vehicles (EV) aggregators based on B-L inequality and model reconstruction technique
This paper has investigated the problem of load frequency stability of time-delayed power systems with EV aggregators
Summary
Whether it is the traditional power system under the vertical integration mode, or deregulated power system composed of different market players, the stability of load frequency is one of the most important indexes to measure the normal operation of the power grid [1]. Zhou et al.: Load Frequency Stability Analysis of Time-Delayed Multi-Area Power Systems technology. This method can only obtain the sufficient conditions for the system stability, so how to reduce the conservativeness has become a hot topic recently [9]–[12]. A novel distributed control strategy of high voltage direct current links for time-delayed LFC systems with EVs is presented in [22], which reduces the differences in frequencies between the connected power areas. This paper gives a load frequency stability analysis of time-delayed multi-area power systems with EV aggregators based on B-L inequality and model reconstruction technique. At last, [17] gives detailed procedures of how to set n1, n2, A11, A12, A21, A22 and Adi which helps to prove Theorem 4
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