Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Stochastic Electricity Market Clearing Formulation with Consistent
  Pricing Properties   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.

21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int