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Technical Briefs

Integrated Power Recovery Using Markov Modeling

[+] Author and Article Information
Shawn Rodgers, Coral Betancourt, Fatma Yilmaz

Risk Management, STP Nuclear Operating Company, Wadsworth, TX 77483

Ernie Kee1

Risk Management, STP Nuclear Operating Company, Wadsworth, TX 77483keeej@stpegs.com

Paul Nelson

Department of Nuclear Engineering, Texas A&M University, College Station, TX 77843-3133pnelson@ne.tamu.edu

1

Corresponding author.

J. Eng. Gas Turbines Power 133(11), 114506 (May 19, 2011) (4 pages) doi:10.1115/1.4002848 History: Received July 13, 2010; Revised July 23, 2010; Published May 19, 2011; Online May 19, 2011

The solution to a Markov chain modeling electric power supply to critical equipment in a typical four-loop pressurized water reactor following a loss of offsite power event is compared with a convolution method. The standard “convolution integral” approach is described, and an alternative methodology based on a Markov model is illustrated.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
Figure 1

Highly simplified schematic of the power supply to the plant from the offsite grid and EDG with the EDG breaker open, the offsite power breaker closed

Grahic Jump Location
Figure 2

State transitions for a LOSP, diesel failure (λD), diesel repair (μD), and offsite power restoration (μO). States shown are diesel operating (state 1), both diesel and offsite power failed (state 2), and offsite power restored (state 0) and each state’s initial condition (p(0)) is given.

Grahic Jump Location
Figure 3

Comparison of the likelihood of SBO as a function of time under different scenarios

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