Frequency analysis Monte Carlo simulation

The two extreme conditions discussed above are more amenable to analysis since, in both cases, the sheath can be described as a DC sheath actually a series of DC sheaths at the different moments in time during the RF cycle when wt+ 1, and a DC sheath at the time-average voltage when o t+ 1. The most difficult situation to analyze is when cut+ 1. Monte Carlo simulations have been performed in this intermediate regime [179, 180] but the boundary conditions for ion injection are not well understood, and comparison with experimental data is lacking. A fluid model developed by Miller and Riley [32] attempts the bridge the gap between the low and high frequency sheaths. 

There exist different methods like Fault Tree Analysis (FTA), Event Tree Analysis (ETA) and Monte Carlo Simulation (MCS) that can be applied and combined for the purpose of evaluating the frequency and probability of initiating events. However, the MCS can be handled much easier in order to accoimt for bormdary conditions like stochastic dependence, time dependence and physical impact (Hauschild Meyna 2007). The MCS has been apphed successfully for PSA in order to assess the safety of nuclear power plants (Devooght Smidts 1996, Woltereck2001) and especially for taking into account uncertain input data (BfS 2005). 

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