Power grid enhanced resilience using proportional and derivative control with delayed feedback

Eric Donald Dongmo, Pere Colet and Paul Woafo ()
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Eric Donald Dongmo: Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes and TWAS Research Unit, Department of Physics, Faculty of Science, University of Yaoundé I
Pere Colet: IFISC, Instituto de Física Interdisciplinar y Sistemas Complejos (CSIC-UIB), Campus Universitat Illes Balears
Paul Woafo: Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes and TWAS Research Unit, Department of Physics, Faculty of Science, University of Yaoundé I

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 1, 1-10

Abstract: Abstract This paper investigates the resilience of an elementary electricity system (machine-generator) under proportional and derivative (PD) control when subject to large perturbations. A particular attention is paid to small power grids, representative of power grid structure in some developing countries. The considered elementary electricity system consists of a consumer (machine), a power plant (generator) and a transmission line. Both Runge-Kutta and Newton methods are used to solve the dynamical equations and the characteristic equations for stability. It is found that the controller increases the resilience of the system. We also show that time delays associated to the feedback loop of the controller have a negative impact on the performance. It is also shown that the asymmetry due to energy demand of different consumers to power plant increases the stability of the system.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1140/epjb/e2016-70507-6

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