Abstract: This letter addresses the issue of linearization of quadratic thermal limits of transmission lines for linear optimal power flow formulation. A new irregular polygon based linearization is ...

Abstract: This study is devoted to derivation and mathematical analysis of piecewise affine oscillators that have desired polygonal limit cycles. First, a design method of a piecewise affine ...

We consider piecewise H¹ functions and vector fields associated with a class of meshes generated by independent refinements and show that they can be effectively analyzed in terms of the number of ...