Iterative computation of marginally stable trajectories

Stability limits place restrictions on the economic operation of power systems. Calculation of these limits is therefore very important, but has traditionally been quite difficult. This paper proposes an iterative algorithm for determining parameter values that result in marginal stability of a system. (A system is marginally stable for a particular disturbance if the post‐disturbance trajectory lies on the stability boundary.) The algorithm is based on Gauss–Newton solution of a nonlinear least‐squares problem. Gradient information is provided by trajectory sensitivities.