Chronological Influences of the Variance of Electric Power Production Costs

作者: Sarah M. Ryan , Mainak Mazumdar

DOI: 10.1287/OPRE.40.3.S284

关键词: ComputationApplied mathematicsDemand forecastingInterval (mathematics)Variance (accounting)Electric powerExpression (computer science)Markov processMathematicsElectrical networkEconometricsManagement Science and Operations ResearchComputer Science Applications

摘要: The cost of producing electric power at a given time depends on the demand and set generating units that are available. We present Markovian model generation system together with deterministic, time-varying function yields stochastic integral for production over interval. variance this may be computed exactly by enumerating states. An expression integrand is developed in which deterministic variation decoupled from variation. This amenable to an asymptotic approximation reduces computation. When state transition rates high, little accuracy lost. exact approximate results compared several parameter values small example system.

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