Efficient reliability assessment of multi-performance multi-state systems using dynamic matching of source and load feasible regions

Multi-performance multi-state systems (MPMS) that consider performance conversion processes represent a current modeling approach for engineering systems, where different types of performance can be exchanged and converted. However, in large-scale MPMS, the complexity of performance variables and performance conversion characteristics significantly increases the computational burden of accurate reliability assessment. To address this challenge, this paper proposes an efficient reliability assessment method for large-scale MPMS considering performance conversion, based on the concept of feasible regions. The proposed method introduces the MPMS model and classifies the system into two categories: source-side MPMS and load-side MPMS, based on the characteristics of performance variables. The states and performance conversion characteristics of MPMS are described using feasible regions, while system adequacy is determined through the spatial relationship between feasible regions. The performance loss of the system is quantified by calculating the shortest Euclidean distance between the feasible regions of the two types of MPMS. Finally, system reliability is evaluated through dynamic matching of feasible regions. The proposed model and method are validated through two case studies, demonstrating their efficiency and effectiveness in assessing the reliability of MPMS.