摘要

Alarm trippoints are critical parameters of industrial alarm systems in process industries. This paper proposes a method to design optimal alarm trippoints for univariate analog process variables based on so-called alarm probability plots. An alarm probability plot involves four statistics, namely, the transition probability and the averaged transition step toward an alarm trippoint, the transition probability and the averaged transition step away from an alarm trippoint. Theoretical expressions of the four statistics are developed based on the Markov chain theory. The statistics are estimated with a proper determination of quantification intervals transferring analog process variables to discrete state variables. A discriminant function composed of the four statistics is used to determine an optimal choice of alarm trippoints. The effectiveness of the proposed method is illustrated via numerical and industrial examples.