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III Międzynarodowa Konferencja Naukowo-Techniczna Obsługiwanie Maszyn i Urządzeń - OMiU 2007

III Międzynarodowa Konferencja Naukowo-Techniczna Obsługiwanie Maszyn i Urządzeń - OMiU 2007 11-14.10. 2007 , Świnoujście – Ystad – Świnoujście. STRUCTURAL REDUNDANCY IN AN OFFSHORE VESSEL DYNAMIC POSITIONING SYSTEM. Dr inż. Leszek Chybowski Dr hab. inż. Zbigniew Matuszak, prof. AM.

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III Międzynarodowa Konferencja Naukowo-Techniczna Obsługiwanie Maszyn i Urządzeń - OMiU 2007

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  1. III Międzynarodowa Konferencja Naukowo-TechnicznaObsługiwanie Maszyn i Urządzeń - OMiU 2007 11-14.10.2007, Świnoujście – Ystad – Świnoujście STRUCTURAL REDUNDANCY IN AN OFFSHORE VESSEL DYNAMIC POSITIONING SYSTEM Dr inż.Leszek Chybowski Dr hab. inż. Zbigniew Matuszak, prof. AM

  2. Redundancy types in the technical systems

  3. Methods of structural redundancy

  4. (A. J. SØRENSEN 2004) Dynamic Positioning Class 3(IMO MSC/Circ.645)

  5. A general structure of dynamic positioning systems S={ES1, ES2, ES3, ES4, ES5, ES6} where: ES1 – automatic system of supervision (4 main components), ES2 – ship's electric power plant (5 main components), ES3 – ship's propulsion system (5 main components), ES4 – emergency electric power supply (4 main components), ES5 – reference sensors system (5 main components), ES6 – the other components of DP system.

  6. z(X,t) - complex number plane position for system X is: where: p(X, t) - number of basic components r(X, t) - number of standby components i- imaginary unit For a given moment of time t≥0 the total number of components J(X,t) in the system X equals: where: J(X,0) - size of the system X at t=0 JREST- number of components of the system X thathave been failed till the time t. Redundancy in different DP classes

  7. The system states transition graph

  8. Reliability calculation based on redundancy model For the subsystem X with a threshold k-out-of-n structure composed of identical components EX the system reliability is: For the threshold structure k-out-of-n composed of components E1, E2,…En with various reliability characteristics system reliability is:

  9. Final conclusion Component redundancy model allows to compare different redundancy classes (DP Classes) Component redundancy model allows to compare different systems in same redundancy class Component redundancy model allows to number of transformations and particular measures estimation There is possibility of application of redundancy model for reliability estimation

  10. Thank you for attention

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