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A new algorithm to compute conjectured supply function equilibrium in electricity markets

机译：一种计算电力市场中猜想供给函数均衡的新算法

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摘要

Several types of market equilibria approaches, such as Cournot, Conjectural Variation (CVE), Supply Function (SFE) or Conjectured Supply Function (CSFE) have been used to model electricity markets for the medium and long term. Among them, CSFE has been proposed as a generalization of the classic Cournot. It computes the equilibrium considering the reaction of the competitors against changes in their strategy, combining several characteristics of both CVE and SFE. Unlike linear SFE approaches, strategies are linearized only at the equilibrium point, using their first-order Taylor approximation. But to solve CSFE, the slope or the intercept of the linear approximations must be given, which has been proved to be very restrictive. This paper proposes a new algorithm to compute CSFE. Unlike previous approaches, the main contribution is that the competitors' strategies for each generator are initially unknown (both slope and intercept) and endogenously computed by this new iterative algorithm. To show the applicability of the proposed approach, it has been applied to several case examples where its qualitative behavior has been analyzed in detail.
机译：市场中的几种类型的平衡方法，例如古诺，猜想变化（CVE），供给函数（SFE）或推测供给函数（CSFE）已用于为中长期电力市场建模。其中，CSFE已被提议作为经典古诺的概括。它结合了CVE和SFE的几个特征，考虑了竞争对手对战略变化的反应来计算均衡。与线性SFE方法不同，策略仅使用一阶泰勒逼近在平衡点处线性化。但是要解决CSFE，必须给出线性近似的斜率或截距，这已被证明是非常严格的。本文提出了一种计算CSFE的新算法。与以前的方法不同，主要的贡献在于，每个发电机的竞争对手的策略最初都是未知的（斜率和截距），并通过此新的迭代算法进行内生计算。为了显示所提出方法的适用性，已将其应用于几个案例实例，其中已对其定性行为进行了详细分析。

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