6 problems
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The conjecture that damping depends on grid topology and connected loads
The state-space matrix is the tridiagonal 2-Toeplitz matrix appearing in the model above, and its damping describes the damping levels of the corresponding grid dynamics. Dampi…
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The conjecture that sparse FACTS placement reflects N-1 redundancy
N-1 redundancy sparsity conjecture. This sparsity is a natural property of the N-1 redundancy engineered into electrical networks.
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The conjecture that the norm promotes sparsity in FACTS placement
Sparsity-promoting -norm conjecture. The norm may promote sparsity in ways similar to those in compressive sensing.
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Conjecture on regional control through storage-node power injections
Regional control conjecture. By controlling the power injections at these nodes, the control scheme can effectively control to which region the renewable generation is directed.
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Landscape-degeneracy conjecture for the instanton search in power grids
Let the maximum-load operating point be a reference demand configuration, and let the error-surface denote the boundary between feasible and infeasible power-flow demands. The inst…
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Proportional-width conjecture for power-grid demand distributions
Let be the Gaussian distribution of demand vectors, with denoting the typical or average demand at node . The width of the demand distributio…