If failure rate and repair rate of all the components of power system network (containing both parallel and series combination) is known then how to evaluate reliability indices analytically?
If the failure and repair performances obey the exponential distribution, then you can use the RBD reduction method of the following publication
https://www.researchgate.net/publication/307585524_Wind_Energy_Conversion_Systems_Reliability_Perspective?_sg=wBLopoqa0rbYlo238eE_b5bHMaKYSwNIKwfXj1_oW22Xfp3XlvJD-YdgIiT_qgERi-5O-iIF_x8vmZhskCleeebRyoWcfas0J_-PdfX2.VShLrfqrBVqC7EEjAequg8__8utVT_lOqZYq-3IW_7go7iF_bUJO_D91YyJCtxRNwOb8A__zJQ_rIs7tu67IxQ
Within its list of references, you will find more focused publications by R. Billinton.
I suggest you read the following
1.Reliability Evaluation of Engineering Systems: Concepts and Techniques
2. Reliability Evaluation of Power Systems | Roy Billinton | Springer
It really depends on the size of the system and what reliability indices you require. See https://www.sciencedirect.com/science/article/pii/S0951832016300163 for a summary of available approaches, with their merits and demerits.
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