Common Rank Approximation - A new method to speed up probabilistic calculations in distribution grid planning

Probabilistic considerations of uncertainties in distribution grid planning is one of the keystones to avoid oversizing of grids and equipment due to unreal worst-case assumptions. However, the computational costs to integrate uncertainties in calculation processes reach from worth mentioning to unfeasible. In this paper, a new method is introduced, which consists of a simplification and a rank comparison process and yields high accuracy as well as low computational costs. Various DER control strategies and nonlinear network equipment can be integrated and time savings of up to a factor of 9000 can be reached.