All-Pass Fractional OPF: A Solver-Friendly, Physics-Preserving Approximation of AC OPF
arXiv:2601.14468v1 Announce Type: new Abstract: This paper presents a fractional approximation of the AC optimal power flow (AC OPF) problem based on an all-pass approximation of the exponential power flow kernel. The classical AC OPF relies on trigonometric coupling between bus voltage phasors, which yields a nonconvex program with oscillatory derivatives that can slow, or in some cases destabilize, interior-point methods. We replace the trigonometric terms with an all-pass fractional (APF) approximation whose real and imaginary components act […]