An Application of Spectral Theory and a Generalized Birth and Death Process to a Reliability Problem.

by A. Gross, D. J. Persico

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This paper considers a system of electrical generating units that must produce a constant amount of power for a specified length of time regardless of the number of units operating at that time. Such a system is called a load-sharing system, because whenever a component fails the remaining operating components share equally among themselves the power increase required of the operating components in order to sustain the power output of the system. The paper develops and solves the system of differential equations that describes the operation of the system and the solution of which permits the calculations of the system's reliability at any point in time. 22 pp. Ref.

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