Models of Closest Marginal States of Power Systems in <italic>p-</italic>Norms

Abstract

In order to maintain power system security at the appropriate level and low cost, it is essential to accurately assess steady-state stability limits and power flow feasibility boundaries, i.e., power system marginal states (MS). This paper is devoted to researching the closest MS models in the p -norms. The theoretical studies have revealed that the model of the closest MS in the weighted max-norm, which considers errors of the power change forecast by means of the weighted Euclidean norm, corresponds most closely to requirements of the system operator (SO) for an assessment of the steady-state stability reserve and for the preventive control. At the same time the model of the closest MS in the one - norm best satisfies SO requirements for the corrective and emergency control, and for moving a system state into the power flow feasibility region. This model gives a control action to a critical bus, adding others only in the case of a dosage lack. As a result minimum number of buses will be affected, and minimum loads will be shed.