A dynamic model for the failure replacement of aging high-voltage transformers
A dynamic model for the failure replacement of aging high-voltage transformers
复制标题
老化高压变压器故障更换的动态模型
DOI：
10.1007/s12667-009-0006-5
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
D. Egan
中科院分区：
文献类型：
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作者：
J. Enders;Warrren B Powell;D. Egan
随着美国电力传输系统的老化，降低高压Transformer故障的风险成为传输所有者和运营商日益重要的问题。本文介绍了一个模型，支持这些努力，优化收购和部署的高压变压器随着时间的推移动态。我们制定的问题作为一个马尔可夫决策过程，不能解决现实的问题实例。相反，我们使用近似动态规划使用三个不同的值函数近似，这是一个简化版本的问题的最佳解决方案进行比较的问题。该方法包括一个可分离的，分段线性值函数，分段线性，二维近似，和一个分段线性函数的基础上的汇总库存，显示产生的解决方案在几个百分点内非常快的收敛。最佳性能算法的应用，以一个现实的问题实例提供了深入了解Transformer管理问题的实际利益。
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.