It is well known that H-mode plasmas can exhibit several different types of Edge Localized Modes (ELMs). Type I or "giant" ELMs are the most commonly observed type of ELMs in plasmas with large enough heating power. They are large events capable of removing up to 10% of the plasma energy with a repetition frequency that increases with increased radial power flux across the last closed flux surface. Type III ELMs, which are small and frequent, remove of the order of 1% of the thermal energy content per ELM and are often seen slightly above the H-mode threshold power. Type III ELMs are characterized by an ELM frequency that decreases with power. Type II ELMs resemble type III ELMs, but are generally even tinier and more frequent. The distinction between types II and III is based on their different effects on plasma performance. Type II ELMs often occur in a mixed type I-II ELMy H-mode, i.e. a mode of operation with quasi-continuous type II ELMs interrupted by occasional large type I ELMs. This paper will focus on the modelling of plasmas with type II ELMs.