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Article

A Unified Modelling Framework Combining FTA, RBD, and BowTie for Reliability Improvement

by
Mohamad Afiq Amiruddin Parnon
1,2,*,
Kassandra A. Papadopoulou
3 and
Jyoti K. Sinha
1
1
Department of Mechanical and Aerospace Engineering, School of Engineering, The University of Manchester, Manchester M13 9PL, UK
2
Jabatan Teknologi Kejuruteraan Mekanikal, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal 76100, Malaysia
3
Alliance Manchester Business School, The University of Manchester, Manchester M13 9PL, UK
*
Author to whom correspondence should be addressed.
Appl. Sci. 2025, 15(20), 10902; https://doi.org/10.3390/app152010902
Submission received: 12 September 2025 / Revised: 3 October 2025 / Accepted: 8 October 2025 / Published: 10 October 2025
(This article belongs to the Special Issue Uncertainty and Reliability Analysis for Engineering Systems)

Featured Application

The proposed BowTie-based reliability framework provides a structured approach for examining and enhancing wind turbine resilience. It brings together preventive and mitigative pathways, enabling decision-makers, such as asset managers, to pinpoint critical barriers, prioritise maintenance, and evaluate the benefits of redundancy or redesign strategies. The methodology can also be applied to other critical infrastructure, particularly where critical processes are involved and defence-in-depth and quantitative risk justification are crucial. This makes the framework a practical decision-support tool for balancing multiple attributes, including safety, reliability, and cost, within complex engineered systems.

Abstract

Ensuring reliability and safety is essential in complex energy systems such as wind turbines, where failures can trigger unexpected downtimes, severe incidents, and significant costs. This study proposes a hybrid BowTie-based reliability framework that integrates Fault Tree Analysis, Reliability Block Diagrams, and BowTie methodology to quantify risk and evaluate the effectiveness of safety barriers. The framework employs key reliability metrics including availability, probability of failure on demand, and probability of failure per hour, and supports scenario-based sensitivity analyses to explore redesign options. A simulation-based case study of a wind turbine generator subsystem is presented, using parameter values drawn from published reliability data. Results highlight that protective relays and automatic trip systems represent critical single points of defence, while improvements such as enhanced oil analysis and redundant dashboards reduce consequence frequency from 2.912 × 10−17 to 8.257 × 10−19 failures/h (a 97.16% reduction, nearly two orders of magnitude). Compared to conventional models, the proposed framework introduces explicit defence in depth modelling, improves computational compactness, and provides a practical decision support tool for asset managers by balancing safety and reliability. At this stage, the study should be regarded as a proof of concept that demonstrates feasibility and sets a foundation for future research and application to larger, more complex infrastructures.
Keywords: reliability modelling; minimal cut set analysis; defence-in-depth reliability modelling; minimal cut set analysis; defence-in-depth

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MDPI and ACS Style

Parnon, M.A.A.; Papadopoulou, K.A.; Sinha, J.K. A Unified Modelling Framework Combining FTA, RBD, and BowTie for Reliability Improvement. Appl. Sci. 2025, 15, 10902. https://doi.org/10.3390/app152010902

AMA Style

Parnon MAA, Papadopoulou KA, Sinha JK. A Unified Modelling Framework Combining FTA, RBD, and BowTie for Reliability Improvement. Applied Sciences. 2025; 15(20):10902. https://doi.org/10.3390/app152010902

Chicago/Turabian Style

Parnon, Mohamad Afiq Amiruddin, Kassandra A. Papadopoulou, and Jyoti K. Sinha. 2025. "A Unified Modelling Framework Combining FTA, RBD, and BowTie for Reliability Improvement" Applied Sciences 15, no. 20: 10902. https://doi.org/10.3390/app152010902

APA Style

Parnon, M. A. A., Papadopoulou, K. A., & Sinha, J. K. (2025). A Unified Modelling Framework Combining FTA, RBD, and BowTie for Reliability Improvement. Applied Sciences, 15(20), 10902. https://doi.org/10.3390/app152010902

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