Van Wyk-de Ridder, DeleneRad, Najmeh NakhaeiArashi, MohammadFerreira, JohanBekker, Andriette, 1958-2025-05-052025-05-052025-04Ridder, D.v.Wd., Rad, N.N., Arashi, M. et al. A Power-Cardioid candidate for wind direction modelling motivated by two South African case studies. Afrika Matematika 36, 86 (2025). https://doi.org/10.1007/s13370-025-01306-9.1012-9405 (print)2190-7668 (online)10.1007/s13370-025-01306-9http://hdl.handle.net/2263/102292DATA AVAILABILITY : The datasets used and/or analyzed during the current study are available from the corresponding author upon request.Wind energy claims a positive image globally; therefore, accurate modelling of wind direction at generation sites accurately can enhance the potential of this green energy source. The uncertain nature of wind direction can be modelled through probability distributions; in this paper, we propose a flexible yet simple distribution, namely the Power-Cardioid distribution, as an alternative and implementable candidate to model wind direction. After discussing some characteristics, the performance of the Power-Cardioid distribution is evaluated via a simulation study and applied to datasets of two wind farms in South Africa. The numerical results demonstrate that this distribution is a promising and exciting new candidate compared to well-known models within circular statistics.en© The Author(s) 2025. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License.GeneratorKato and Jones distributionMixture distributionVon Mises distributionWind directionArticle