• Version
• Download 20
• File Size 451.17 KB
• File Count 1
• Create Date 28 July 2025
• Last Updated 28 July 2025

Reliability of Components in a System under Delta-Star Transformation

Chetan Kumar Sharma1, Rajeev Kaushik2*

1Department of Mathematics, Noida International University, Gautam Budha Nagar, U.P., India, cks26april@gmail.com ORC ID: (0000-0002-5725-7603)

2Department of Physics, Shri K K Jain (P/G) College, Khatauli, Muzaffar Nagar, U.P., India, rajeevkaushik0110@gmail.com

*Corresponding Author

Abstract- In this manuscript, we have to analyze of an independent unit through exact expressions for the conversion of a delta-star network into a star network. In this regards, we have to simplify complex reliability block diagram consisting two or three state devices but the transformation can be carried out under certain conditions according in this state the Delta-star transformation can be quite easily handle network containing more than one bridge configuration. The expressions are interrelated and require less computation time for finding equivalent star configuration. This study also explain the feasibility of converting a star in a dependability network into an equivalent delta under specific circumstances, proving that the likelihood of an element succeeding in an equivalent star equals the likelihood of the corresponding element failing.

Keywords: Reliability Block Diagram, Delta-star Transformation, System Reliability