Identifying the minimum number of component failures that will lead to a system failure.
Rsys=1−Qsyscap R sub s y s end-sub equals 1 minus cap Q sub s y s end-sub
A classic case study:
As mentioned, Billinton introduced the term in 1969. CSR is the application of the HLII framework and is a critical step in system planning. A modern review of computational tools for CSR breaks down its key steps:
Instead of a $10M turbine, spend $2M on a 5 MW battery to cover the single-turbine failure period. The probabilistic solution identified the optimal economic solution, not just the safe one. Identifying the minimum number of component failures that
, adding series components always degrades the total system reliability. Parallel Redundancy and Standby Modes
Calculating system failure by considering the conditional probabilities of individual component failures. A modern review of computational tools for CSR
Wind and solar power introduce variable, weather-dependent generation. Reliability models must now treat generation capacities as continuous probability distributions rather than binary (on/off) states.
Before diving into the content, it's essential to understand the stature of its authors. Roy Billinton is a Canadian scholar and Distinguished Emeritus Professor at the University of Saskatchewan, widely recognized as a foundational figure in power system reliability. His first book, published in 1970, is considered the first English text on the subject. Alongside his frequent collaborator, Ronald N. Allan, Billinton has shaped the discipline for over five decades. Billinton's numerous accolades, including the IEEE Canada Electric Power Medal and his election as a Foreign Associate of the U.S. National Academy of Engineering, underscore the profound impact of his work. National Academy of Engineering
: Despite being thousands of miles apart, they co-authored multiple landmark texts, including Reliability Evaluation of Power Systems Reliability Assessment of Large Electric Power Systems
These are used to evaluate the reliability of systems structured as networks, such as power grids, communication systems, or pipeline networks. If any component fails, the system fails.