Midpoint-radius interval-based method to deal with uncertainty in power flow analysis

Manuel Marin, Federico Milano, David Defour
2017 Electric power systems research  
This paper presents a novel method based on midpoint-radius interval arithmetic to deal with uncertainties in the power ow problem. The proposed technique aims at nding a balance between accuracy and computational eciency. It relies on an original decoupling of the interval power ow equations into midpoint and radius parts. This representation allows avoiding the factorisation of an interval Jacobian matrix. Moreover, the proposed formulation is combined with an optimisation problem in order to
more » ... prevent overestimation of the interval solution while preserving uncertainty. The proposed technique proves to be more ecient than existing approaches based on interval and ane arithmetic and as accurate as the conventional Monte Carlo method.
doi:10.1016/j.epsr.2017.02.017 fatcat:2e62zqkmjjbohj4fyb7dmkxtqq