A Mathematical Method for Induction Generator Based Wind Power Plant Sizing and Siting in Distribution Network

Throughout the world, Induction Generators (IGs) have been commonly used in numerous installations of Wind Power Plants (WPPs) due to their simple construction, low cost, etc. However, IGs are not capable of controlling reactive power and regulating terminal voltage. This adversely impacts voltage stability at the Point of Common Coupling (PCC) of weak distribution networks connected WPP. This paper introduces a novel analytical method based on the mathematical relations between PCC bus voltage (VPCC), the amount of wind power (Pwind) injected to the PCC and the most critical characteristics of a distribution system dictating the V-PCC stability, including Short Circuit Capacity (SCC) and the short circuit impedance angle ratio (X/R-PCC). The proposed mathematical relations provide insightful information regarding the behavior of the steady-state V-PCC in response to changes in the penetration of IG-based WPPs. In addition, the proposed equations enable to carry out an initial predictive assessment on the maximum size of an IG-based WPP ensuring that grid code requirements in regards to the V-PCC stability are provided. The significant advantage of the presented over existing WPP sizing approaches is that the proposed equations remove the need to perform complex and time consuming computational tasks or modelling of the system.