Event info

Date: 12:00 - 13:00, JST Tuesday, 14 April 2026

Zoom: Online via Zoom

Speaker: Prof. Dinh Hoa Nguyen (Hanoi University of Science and Technology, and Kyushu University)

Title: An approach for power grid structural robustness analysis using Ollivier-Ricci curvature

Abstract:
This work studies the structural robustness of power grids against cascading failures from a geometric perspective based on the Ollivier-Ricci curvature. A curvature metric based on the grid’s admittance matrix is proposed, based on which structurally fragile sub-networks, transmission lines, or buses can be identified without relying on power flow calculations. Then a method is proposed to strengthen the structural robustness of the grid by adding new transmission lines in order to increase the values of the most negative curvatures. The connection between the proposed admittance-based Ollivier-Ricci curvature and edge betweenness centrality index is also investigated. Experimental results for benchmark power grids including IEEE 118- and 145-bus systems demonstrate the effectiveness of the proposed curvature metric and the grid hardening method in capturing and enhancing the structural robustness of power grids.

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This seminar series is a valuable opportunity for graduate students to get acquainted with the work of more experienced researchers in various mathematical fields. Undergraduate students are also welcome to join, as the talks are intended for non-experts, too. Regardless of your area of research, you can attend the seminar to expand your knowledge and get in touch with the latest developments in mathematics for industry.
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