A Causation-Based Framework for Pricing and Cost Allocation of Energy, Reserves, and Transmission in Modern Power Systems

Paper: arXiv 2505.24159

Authors: Luiza Ribeiro, Alexandre Street, Jose Manuel Arroyo, Rodrigo Moreno

Abstract

The increasing vulnerability of power systems has heightened the need for operating reserves to manage contingencies such as generator outages, line failures, and sudden load variations. Unlike energy costs, driven by consumer demand, operating reserve costs arise from addressing the most critical credible contingencies - prompting the question: how should these costs be allocated through efficient pricing mechanisms? As an alternative to previously reported schemes, this paper presents a new causation-based pricing framework for electricity markets based on contingency-constrained energy and reserve scheduling models. Major salient features include a novel security charge mechanism along with the explicit definition of prices for up-spinning reserves, down-spinning reserves, and transmission services. These features ensure more comprehensive and efficient cost-reflective market operations. Moreover, the proposed nodal pricing scheme yields revenue adequacy and neutrality while promoting reliability incentives for generators based on the cost-causation principle. An additional salient aspect of the proposed framework is the economic incentive for transmission assets, which are remunerated based on their use to deliver energy and reserves across all contingency states. Numerical results from two case studies illustrate the performance of the proposed pricing scheme.

Complexity vs Empirical Score

• Math Complexity: 8.0/10
• Empirical Rigor: 3.0/10
• Quadrant: Lab Rats — theoretically deep, empirically untested

Why this score: The paper relies heavily on advanced mathematical optimization, Lagrangian duality, and game-theoretic concepts (like the nucleolus) for its pricing framework, indicating high math complexity. However, it presents only theoretical models and two numerical case studies without any real-world data, backtests, or implementation details, resulting in low empirical rigor.

Research Flowchart

  flowchart TD
  A["Research Goal: Develop cost-reflective<br>pricing for energy, reserves, and<br>transmission based on causation"] --> B["Key Methodology:<br>Contingency-Constrained Scheduling"]
  
  B --> C{"Inputs/Data"}
  C --> C1["Generator Cost Curves"]
  C --> C2["Transmission Constraints"]
  C --> C3["Credible Contingencies"]
  
  C --> D["Computational Process:<br>Security-Constrained Optimization"]
  
  D --> E["Key Findings/Outcomes"]
  E --> E1["Nodal Pricing<br>Revenue Neutral"]
  E --> E2["Security Charge Mechanism<br>for Reserves"]
  E --> E3["Transmission Remuneration<br>Based on Use Across States"]

Cited References (43)

1. Two-stage robust unit commitment for co-optimized electricity markets: An adaptive data-driven approach for scenario-based uncertainty sets (2019)
2. Energy and reserve scheduling under a joint generation and transmission security criterion: An adjustable robust optimization approach (2014)
3. Fundamentals of Power System Economics (2019) — link
4. Spot pricing of capacities for generation and transmission of reserve in an extended Poolco model (1998) — link
5. Pricing energy and ancillary services in integrated market systems by an optimal power flow (2004) — link
6. Energy and reserve market designs with explicit consideration to lost opportunity costs (2003) — link
7. Energy and reserve pricing in security and network-constrained electricity markets (2005) — link
8. Scheduling and Pricing of Coupled Energy and Primary, Secondary, and Tertiary Reserves (2005) — link

0 of 43 cited works are in the corpus; resolved via arXiv source bundles, Semantic Scholar and OpenAlex. Corpus-wide: 2518 linked papers.