A Stochastic Electricity Market Clearing Formulation with Consistent Pricing Properties

A Stochastic Electricity Market Clearing Formulation with Consistent Pricing Properties
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具有一致定价特性的随机电力市场清算公式

DOI:
10.1287/opre.2016.1576
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发表时间:
2015
期刊:
Oper. Res.
影响因子:
--
通讯作者:
J. Birge
J. Birge
中科院分区:
--
文献类型:
--
作者:
V. Zavala;Kibaek Kim;M. Anitescu;J. Birge

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我们认为,确定性市场清算公式会在日前价格和预期实时价格之间引入任意扭曲,从而使经济激励产生偏差并阻碍多元化。我们扩展并分析了 Pritchard 等人提出的随机清算公式。 (2010)其中社会剩余函数导致日前数量和实时数量之间的惩罚。我们证明,该公式会产生受投标价格限制的价格扭曲,并且我们表明,向传输流和相位角添加类似的惩罚项可确保整个网络的有界性。我们证明,当价格扭曲为零时,日前数量会收敛到实时对应量的分位数。价格扭曲的不良影响表明,随机环境比确定性环境提供了显着的好处,而这些好处超出了社会盈余的改善。我们提出了额外的指标来评估这些好处。
We argue that deterministic market clearing formulations introduce arbitrary distortions between day-ahead and expected real-time prices that bias economic incentives and block diversification. We extend and analyze the stochastic clearing formulation proposed by Pritchard et al. (2010) in which the social surplus function induces penalties between day-ahead and real-time quantities. We prove that the formulation yields price distortions that are bounded by the bid prices, and we show that adding a similar penalty term to transmission flows and phase angles ensures boundedness throughout the network. We prove that when the price distortions are zero, day-ahead quantities converge to the quantile of real-time counterparts. The undesired effects of price distortions suggest that stochastic settings provide significant benefits over deterministic ones that go beyond social surplus improvements. We propose additional metrics to evaluate these benefits.