Temperature-Dependent Power Transfer Capability of Transmission Systems Under Uncertainty: An Affine-Arithmetic Approach

Traditionally used continuation power flow methods do not consider the variation in line conductor temperature with increase in line loading. In this paper, a temperature-dependent continuation power flow (TD-CPF) approach is used and considers both thermal and voltage stability limits to determine the maximum transfer capacity of a transmission system. Moreover, the TD-CPF method is enhanced via use of affine arithmetic to account for the presence of uncertainties in weather parameters, overhead line conductor properties, and regional pollution levels. Considering these uncertainties, the voltage stability is assessed and compared to the line thermal limits in order to obtain a non-deterministic solution of the maximum power transfer capability of the system. The methodology is tested on a 4-bus and a 30-bus test cases to demonstrate the contribution of the proposed method.