This paper proposes a fully distributed fixed-time control approach fulfilling the economic operation of DC microgrids (MGs) and considering time p3221d delays.A distributed cost optimizer is developed for maintaining MG’s economical operation through equalizing DGs’ incremental costs (ICs) while addressing DGs’ capacity limits within a fixed settling time unrelated to the initial values.Besides, a fixed-time voltage regulator is presented to restore MG’s average voltage for preserving generations-demands power balance.
For further improvement of the system stability to oppose time delays, Artstein’s reduction technique is employed for transforming the delayed system to a delay-free one.Accordingly, the proposed controller has an improved dynamic performance and lower integral squared error (ISE) than the existing fixed-time controller, especially with high time delays.Comprehensive flunazine injection convergence analysis confirms that the proposed controller is fixed-time stable regardless of the initial conditions.
Extensive simulation case studies are carried out to verify the superiority of the developed controller.