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Cyber Network Design for Secondary Frequency Regulation: A Spectral Approach

Guo, Linqi and Zhao, Changhong and Low, Steven H. (2018) Cyber Network Design for Secondary Frequency Regulation: A Spectral Approach. In: 2018 Power Systems Computation Conference (PSCC). IEEE , Piscataway, NJ, pp. 1-7. ISBN 978-1-910963-10-4.

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We present a preliminary theoretical framework based on spectral graph theory that captures how the cyber topology of a distributed secondary frequency control scheme impacts the stability, optimality, and transient performance of our power system as a cyber-physical network. We show that a collection of polynomials defined in terms of the cyber and physical Laplacian eigenvalues encode information on the interplay between cyber and physical networks. It is demonstrated that to understand the impact of adding cyber connectivity, one should separate the low-damping and high-damping regimes. Although adding cyber connectivity always improves the performance for high-damping systems, it is not the case for low-damping scenarios. Based on the theoretical study, we discuss how a good cyber network should be designed. Our empirical study shows that for practical systems, the number of communication channels that is needed to achieve near-optimal performance is usually less than twice the number of buses.

Item Type:Book Section
Related URLs:
URLURL TypeDescription
Zhao, Changhong0000-0003-0539-8591
Low, Steven H.0000-0001-6476-3048
Additional Information:© 2018 IEEE. The authors thank Professor Janusz Bialek from Skoltech for helpful discussions. This work has been supported by Resnick Fellowship, Linde Institute Research Award, DOE through the ENERGISE program (Award #DE-EE-0007998), NSF grants through CCF 1637598, ECCS 1619352, CNS 1545096, ARPA-E grant through award DE-AR0000699 (NODES) and GRID DATA, DTRA through grant HDTRA 1-15-1-0003 and Skoltech through collaboration agreement 1075-MRA.
Group:Resnick Sustainability Institute
Funding AgencyGrant Number
Resnick Sustainability InstituteUNSPECIFIED
Ronald And Maxine Linde Center for Global Environmental ScienceUNSPECIFIED
Department of Energy (DOE)DE-EE-0007998
Advanced Research Projects Agency-Energy (ARPA-E)DE-AR0000699
Defense Threat Reduction Agency (DTRA)HDTRA 1-15-1-0003
Record Number:CaltechAUTHORS:20180906-143422101
Persistent URL:
Official Citation:L. Guo, C. Zhao and S. H. Low, "Cyber Network Design for Secondary Frequency Regulation: A Spectral Approach," 2018 Power Systems Computation Conference (PSCC), Dublin, Ireland, 2018, pp. 1-7. doi: 10.23919/PSCC.2018.8442814
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89428
Deposited By: Tony Diaz
Deposited On:07 Sep 2018 00:00
Last Modified:16 Nov 2021 00:35

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