TY - JOUR
T1 - A dynamic model for the failure replacement of aging high-voltage transformers
AU - Enders, Johannes
AU - Powell, Warren Buckler
AU - Egan, David
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2010/2
Y1 - 2010/2
N2 - As the electric transmission system in the U.S. ages, mitigating the risk of high-voltage transformer failures becomes an increasingly important issue for transmission owners and operators. This paper introduces a model that supports these efforts by optimizing the acquisition and the deployment of high-voltage transformers dynamically over time. We formulate the problem as a Markov Decision Process which cannot be solved for realistic problem instances. Instead we solve the problem using approximate dynamic programming using three different value function approximations, which are compared against an optimal solution for a simplified version of the problem. The methods include a separable, piecewise linear value function, a piecewise linear, two-dimensional approximation, and a piecewise linear function based on an aggregated inventory that is shown to produce solutions within a few percent with very fast convergence. The application of the best performing algorithm to a realistic problem instance gives insights into transformer management issues of practical interest.
AB - As the electric transmission system in the U.S. ages, mitigating the risk of high-voltage transformer failures becomes an increasingly important issue for transmission owners and operators. This paper introduces a model that supports these efforts by optimizing the acquisition and the deployment of high-voltage transformers dynamically over time. We formulate the problem as a Markov Decision Process which cannot be solved for realistic problem instances. Instead we solve the problem using approximate dynamic programming using three different value function approximations, which are compared against an optimal solution for a simplified version of the problem. The methods include a separable, piecewise linear value function, a piecewise linear, two-dimensional approximation, and a piecewise linear function based on an aggregated inventory that is shown to produce solutions within a few percent with very fast convergence. The application of the best performing algorithm to a realistic problem instance gives insights into transformer management issues of practical interest.
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U2 - 10.1007/s12667-009-0006-5
DO - 10.1007/s12667-009-0006-5
M3 - Article
AN - SCOPUS:79952362286
VL - 1
SP - 31
EP - 59
JO - Energy Systems
JF - Energy Systems
SN - 1868-3967
IS - 1
ER -