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Abstract
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Today, time-varying delays may result from a communication network’s engagement in
frequency control services. These delays have an impact on the effectiveness of the load frequency
control (LFC) system, which can occasionally lead to power system instability. The electric vehicle (EV)
can be used as a beneficial source for the LFC system with the development of demand-side response
due to its vehicle-to-grid capacity. Although demand response control has certain advantages for the
power system, communication networks used in LFC systems result in time delays that reduce the
stability of the LFC schemes. A stability study of an LFC system, comprising an EV aggregator with
two additive time-varying delays, is demonstrated in this work. An enhanced Lyapunov–Krasovskii
functional (LKF), which incorporates time-varying delays using the linear matrix inequality approach,
is used to perform a delay-dependent stability analysis of the LFC to determine the stability zone and
criterion. In conclusion, the efficiency of the proposed stability criterion is validated by making use
of the thorough simulation findings.
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