Corona discharge is a phenomenon arising in high voltage systems, which involves many physical variables, and is not amenable to satisfactory analysis via conventional methods. One accessible and simple way that is proven to determine (at least qualitatively) how the corona discharge current is related to the physical quantities that influence it is that of Dimensional Analysis. This paper reviews the use of Dimensional Analysis in the derivation of dimensionless products related to corona discharges for a few different applications. However, the main contribution of the paper is to use Dimensional Analysis to investigate the nature of the corona discharge current subject to the effect of wind speed. This latter analysis might be thought of as an umbrella for the previous analyses as it joins or encompasses the influencing variables used in the former cases. Computational details of this latter analysis is exposed in a tutorial fashion. By using qualitative analysis based on dimensional grounds, we show that the corona discharge current dependence on wind speed is very complex, indeed. However, under certain simplifying assumptions, we demonstrate that the corona discharge current is directly proportional to wind speed.