New Concepts for Automatic Generation Control in Electric Power Systems Using Parametric Quadratic Programming

A general parametric optimal power flow

“…A parametric quadratic programming method was applied to solve the modified problem. Later, Carpentier [Carpentier, 1983] presented some results of another application of parametric quadratic programming to the real power dispatch. In his model, however, the system load was treated as a parameter and the optimal solution was found for a range of load variations.…”

Sensitivity analysis applied to nodal technical losses evaluation in power transmission systems

“…Carpentier et al . applied parametric quadratic programming to the real power economic dispatch problem. Belati et al .…”

“…The sensitivity of the solution regarding perturbations has been studied since the approach proposed by Dillon [10]. Carpentier et al [11] applied parametric quadratic programming to the real power economic dispatch problem. Belati et al [12] and Souza et al [13] made a study of sensitivity analysis oriented by optimal power flow (OPF) problems.…”

Interior point based optimal voltage stability, oscillatory stability and ATC margin boundary tracing

“…Since the early work by Dillon [28] on the sensitivity of the optimal power flow solution to parameter variations, several extensions of this idea have been investigated. A parametric quadratic programming method is used by Carpentier to present some results on real power economic dispatch [29]. Vojdani and Galiana also applied parametric optimization to solve the economic dispatch problem using the continuation method and a varying load strategy [30].…”