Canonical Paper
Royal, Hans, The Compute Heat Rate: Quantifying AI-Driven Electricity Price Tolerance and Its Implications for Wholesale Market Repricing (February 28, 2026).
The paper introduces the Compute Heat Rate as a demand-side electricity-market metric. It defines a long-run electricity price threshold from workload economics, develops a workload framework, and considers implications for wholesale price formation, planning, procurement, and risk analysis.
SSRN Abstract ID 6322318. The SSRN record was revised June 4, 2026. The revision date is maintained as publication history and does not replace the canonical February 28 citation date used here.
Research Summary
AI compute workloads convert electricity into economic output with a range of workload-specific values and operating constraints. The CHR framework expresses those economics in $/MWh so they can be compared directly with wholesale electricity prices and supply-side benchmarks.
CHR is the long-run, full-cost electricity price threshold associated with workload economics, including non-electricity costs and a required return treatment.
CHR-D is the dispatch-focused electricity price threshold at which an already-deployed workload becomes economically indifferent between continuing to operate and curtailing. It excludes sunk capital costs and required return and deducts only costs avoidable upon curtailment.
Current measurements, workload treatment, energy weighting, source vintages, and quarterly methodology changes belong in the CHR Index.
Quarterly Measurement
The CHR Index is the canonical public measurement system for CHR and CHR-D. It publishes current quarterly reference values and preserves previous editions as historical records.
Institutional & Academic Citations
These records distinguish formal institutional, standards-body, legislative, academic, and third-party research citations. A citation indicates that the source referenced or discussed the work; it does not imply institutional adoption or endorsement.
- Formal institutional citation: PJM Interconnection. Powering Reliability Through Market Design, May 6, 2026, printed pp. 49–50. PJM cites Hans Royal and introduces Compute Heat Rate by name in its discussion of data center flexibility and electricity-market design. PJM PDF
- Formal standards-body citation: Grid 2.0 Task Force. Introducing Grid 2.0: An Open Standard for Grid Service Access and Allocation, RFC #1, August 2026, printed and PDF p. 15, footnote 9. The current-industry-approaches discussion cites “Royal, 2026.” The document does not use the terms Compute Heat Rate or CHR and is not presented here as adoption of the framework. G2TF PDF
- Formal legislative-testimony citation: Brent Bennett. Data Centers & 765-kV Transmission Lines, written testimony before the Texas House Committee on State Affairs, August 19, 2026. The testimony uses CHR workload economics in its data center and transmission discussion and cites Royal (2026) in footnote 2 on PDF p. 2. Texas Public Policy Foundation publication
- Academic presentation citation: Pramod P. Khargonekar. The UC Irvine professor cited the Compute Heat Rate in a May 19, 2026 Oxford Energy Research Network presentation at the University of Oxford. The presentation includes a dedicated slide titled “Compute Heat Rate and Flexibility.” Oxford-hosted slides | Event page
- Formal third-party research citation: Farhad Billimoria and Conleigh Byers. Bits-to-Watts: Connecting Markets and Prices for Compute and Power, USAEE Working Paper No. 26-678, July 2026. The paper cites Royal’s Compute Heat Rate research in its bibliography while developing the Value of Compute Load framework. SSRN record
Selected Coverage & Discussion
These items are independent commentary, media coverage, or interviews. They are separate from the formal institutional and research citations above.
- Independent expert amplification: Johannes Pfeifenberger. Public discussion of Compute Heat Rate and its implications for data center curtailment economics. This is attributed to Pfeifenberger personally and is not presented as a Brattle institutional citation. Public post
- Trade-media coverage: Peter Kelly-Detwiler. “A New Metric Related to Data Centers and Electricity that May Matter,” RTO Insider, April 12, 2026. Article
- Podcast and interview: Peter Perri III. PowerSignal interview and discussion of CHR methodology, forward curves, and power-market implications, May 21, 2026. PowerSignal | YouTube | Spotify
- Market-design discussion: Farhad Billimoria. “Demand-side hedging and market participation: looking back, looking forward,” The Power Game, June 2, 2026. The article discusses CHR in a broader comparison of demand-side hedging, priority service, price-responsive load, and market design. Article
Formal Research Extensions
Several concepts developed alongside the foundational paper may support future standalone research notes. They are not presented here as current Index methodology or as independently published papers.
- Convergence Theorem
- How different grid-connected, utility-served, and behind-the-meter participation structures may transmit workload economics into energy and infrastructure decisions.
- SLA Lockdown
- How service-level commitments and economic incentives can jointly affect the practical flexibility of data center demand.
- Peaker Paradox
- How increased peaker utilization can lower unit costs while expanding the number of hours in which higher-cost resources influence market prices.
- Scenario and trajectory research
- Potential paths for compute efficiency, workload growth, supply response, and regional data center penetration. Any future publication should carry explicit assumptions, dates, and sources.
Commentary
Market commentary, technology-release analysis, and informal applications of the framework are published separately on Substack. Commentary is not part of the formal paper or quarterly Index methodology.