Distributed Prescribed Finite Time Consensus Scheme for Economic Dispatch of Smart Grids with the Valve Point Effect

Abstract

The distributed prescribed finite time consensus schemes for economic dispatch (ED) of smart grids with and without the valve point effect are researched in this paper. First, the optimization problem is transformed into a consensus of multiagent system problem, where both with and without the valve point effect are considered. Second, for the directed balance network, a prescribed finite time method has been arranged to solve the ED problem with and without the valve point effect. Third, with considering the constraints of generation units, the prescribed finite time result is also achieved. Finally, from the simulations, the efficiency of the proposed algorithms is validated.

A Novel Distributed Consensus-Based Approach to Solve the Economic Dispatch Problem Incorporating the Valve-Point Effect and Solar Energy Sources

“…Remark 1. An expression for IC with the VPE was derived in the recent interesting and motivating study of [44]. This condition is given as…”

“…It is also even easier to approximate than the MOD function. Due to this difficulty in [44], the definition provided in [44] for IC with the VPE is based on a piece-wise linear approximation of the mentioned MOD-based expression. The resultant approach for this approximation is conservative due to the loss of information owing to linearization.…”

“…The switching between these regions may also cause a discontinuous operation, which can be fatal. The present work is based on the nonlinear and more relevant Definition 2, which does not have conservatism as observed in [44].…”

“…Most of the attention in the above-mentioned literature is paid to minimizing a quadratic cost function, which is a smooth and convex function. An attempt to solve EDP-VPE using a distributed consensus approach was presented in [44], where piecewise linear approximation was used for each nonlinear region. Approximation results in a loss of information, and the consideration of multiple regions makes this approach highly conservative.…”