9 problems

Algorithmic avoidance conjecture. Apart from the initialization, the algorithm automatically avoids approaching such degenerate situations, should they occur.

Monotonicity conjecture. This monotonicity holds for a line network under the AC power flow model. The property is known for line networks under the linearized Distflow model, and…

Let the sufficient infeasibility test cited in the source be a test that guarantees power-flow infeasibility but is not asserted there to be necessary, and suppose the convex appro…

Let the convexity domain be the domain on which the energy function is convex, and let the power-flow equations be the equations defining power-flow solutions. Convexity-domain exi…

Let the principal region be the region enclosed by the Principal Singular Surface for a lossless power network, and call a power-flow solution stable when it is dynamically stable.…

Let $\mathbf{A}$ be the matrix in the dual formulation of the power-flow optimization, and consider systems for which … The multiple-bifurcation explanation conjecture. Similar exp…

Let $V_{slack}^{min}$ denote the minimum slack-bus voltage, and let $\mathbf{A}$ be the matrix in the dual formulation of the power-flow optimization. Suppose that more than two so…

Let $V_{slack}^{min}$ denote the minimum slack-bus voltage, and let $\mathbf{A}$ be the matrix in the dual formulation of the power-flow optimization. Suppose the minimum slack-bus…

Let $\mathbf{A}$ be the matrix in the dual formulation of the power-flow optimization, and let the controlled voltages be decreased so that solutions of the power-flow equations me…