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

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....

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2017, Vol.90 (1), p.1-10, Article 6
Main Authors: Dongmo, Eric Donald, Colet, Pere, Woafo, Paul
Format: Article
Language:English
Subjects:
Analysis
Complex Systems
Condensed Matter Physics
Control stability
Control systems
Control theory
Controllers
Developing countries
Dynamic stability
Eigenvalues
Eigenvectors
Electric equipment industry
Electric power grids
Electricity
Electricity distribution
Feedback loops
Fluid- and Aerodynamics
LDCs
Mathematical analysis
Newton methods
Perturbation
Physics
Physics and Astronomy
Power consumption
Power plants
Regular Article
Resilience
Runge-Kutta method
Solid State Physics
Transmission lines
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Summary: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.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2016-70507-6