Adaptive Integral Second‐Order Sliding Mode Control Design for Load Frequency Control of Large‐Scale Power System with Communication Delays

Abstract

Nowadays, the power systems are getting more and more complicated because of the delays introduced by the communication networks. The existence of the delays usually leads to the degradation and/or instability of power system performance. On account of this point, the traditional load frequency control (LFC) approach for power system sketches a destabilizing impact and an unacceptable system performance. Therefore, this paper proposes a new LFC based on adaptive integral second-order sliding mode control (AISOSMC) approach for the large-scale power system with communication delays (LSPSwCD). First, a new linear matrix inequality is derived to ensure the stability of whole power systems using Lyapunov stability theory. Second, an AISOSMC law is designed to ensure the finite time reachability of the system states. To the best of our knowledge, this is the first time the AISOSMC is designed for LFC of the LSPSwCD. In addition, the report of testing results presents that the suggested LFC based on AISOSMC can not only decrease effectively the frequency variation but also make successfully less in mount of power oscillation/fluctuation in tie-line exchange.

Sliding Mode Load Frequency Regulator for Different-Area Power Systems with Communication Delays

“…Remark 2: The recent SMC method is applied for the ITDPS which can be seen in paper [38]. However, the approach given in [38] considers only single time delay in the system dynamic equation with only one kind of power plant.…”

“…The recently SMC method is applied for the ITDPS which can be seen in paper [38]. However, the approach given in [38] considers only single time delay in the system dynamic equation with only one kind of power plant. In this approach, the ITDPS is considered with different kind of power plant for each area and the system dynamic equation (13) has two kind of time delay and different value of the time delay for each area.…”

“…It also demonstrates that the suggested controller can be applied to the real power network with communication delay. To examine robustness of the proposed SMC controller, the mismatched parameter uncertainty of TAPN is selected with value the same with [38] and is rewritten as A  .…”

“…In which, the values of step load disturbances are assumed as ∆P d1 (t) = 0.015 at 1s in the first area and ∆P d2 (t) = 0.005 at 1s in the second area. To examine robustness of the proposed SMC controller, the mismatched parameter uncertainty of TAPN is selected with value the same with [38] and is rewritten as ∆A (see on the next page).…”

Observer‐Based Sliding Mode Load Frequency Control of Power Systems under Deception Attack

“…Sliding mode control, with its advantages in overcoming system uncertainties and achieving strong robustness against disturbances, has been widely used in a variety of fields [6][7][8]. System robustness is enhanced by combining dynamic surface control with the sliding mode [9][10][11][12].…”