MSS Models of Smart Grids with Multi-level Degradation and Recovery

Digital substations (DS) of smart grid are complex multi-component maintained systems, consisting of a lot of hardware and software components. Failures of the components cause functional and parametrical degradation of the substations. According with systems (DS) structure the reliability-block diagram (RBD), the structure function and the structure function and the Direct Partial Logical Derivatives (DPLDs) for RMSS “electronic transformers—merging unit” are considered. The mathematical tool of logical differential calculus and DPLD in particular are used in many application problems. One of them is reliability engineering. The principal condition of the DPLD application in reliability analysis is the representation of system under investigation by the structure function. We consider the calculation some of these measures as structural, Birnbaum’s, and criticality for the analysis of the electronic transformers—merging unit. The structure function of this unit based on the operation conditions of this system (unit). The construction of this function allows estimating the most important components of this system in stationary state through structural, Birnbaum’s, and criticality importance measures. According with developed technique an example of DS availability model is presented and discussed.