LAPSE:2026.0263
Published Article

LAPSE:2026.0263
Harnessing waste heat in the optimal operation of power-to-X energy systems using detailed process models
June 12, 2026
Abstract
Power-to-X (PtX) technologies play a central role in renewables-based energy systems by enabling the conversion of renewable electricity into multiple energy carriers. However, due to the multiple energy conversion stages inherent to such energy systems, they often suffer low system efficiencies and high operational costs. In this context, waste product utilization offers significant potential for improving system performance. Directly integrating waste product utilization into energy system operational problems, however, is computationally challenging, as it requires high model granularity to capture waste product characteristics and introduces additional complex constraints.This work proposes a method to integrate waste heat utilization into operational optimization problems, aiming to improve the overall performance of PtX energy systems. Detailed process models, together with pinch analysis, are used to generate surrogate models for the thermal (by-)products and their associated temperature levels. The resulting optimization problem is decomposed into multiple subproblems. To balance problem complexity and solution optimality, two alternative approaches, "ex-post" and "co-optimized" are developed, differing in whether waste heat utilization is addressed ex post or jointly optimized with the energy system operation.The proposed method is applied to optimize the daily operation of a PtX energy system. Compared with a reference case without waste heat utilization, the ex-post approach achieves a cost reduction of 7% within identical computational time (0.6h). The co-optimized approach yields cost savings of up to 22% with a computational time of 3.4h. These results demonstrate the effectiveness of the proposed method for integrating waste heat utilization into energy system operational optimization.
Power-to-X (PtX) technologies play a central role in renewables-based energy systems by enabling the conversion of renewable electricity into multiple energy carriers. However, due to the multiple energy conversion stages inherent to such energy systems, they often suffer low system efficiencies and high operational costs. In this context, waste product utilization offers significant potential for improving system performance. Directly integrating waste product utilization into energy system operational problems, however, is computationally challenging, as it requires high model granularity to capture waste product characteristics and introduces additional complex constraints.This work proposes a method to integrate waste heat utilization into operational optimization problems, aiming to improve the overall performance of PtX energy systems. Detailed process models, together with pinch analysis, are used to generate surrogate models for the thermal (by-)products and their associated temperature levels. The resulting optimization problem is decomposed into multiple subproblems. To balance problem complexity and solution optimality, two alternative approaches, "ex-post" and "co-optimized" are developed, differing in whether waste heat utilization is addressed ex post or jointly optimized with the energy system operation.The proposed method is applied to optimize the daily operation of a PtX energy system. Compared with a reference case without waste heat utilization, the ex-post approach achieves a cost reduction of 7% within identical computational time (0.6h). The co-optimized approach yields cost savings of up to 22% with a computational time of 3.4h. These results demonstrate the effectiveness of the proposed method for integrating waste heat utilization into energy system operational optimization.
Record ID
Keywords
decomposition, direct air capture plant, methanation process, MIQCQP, NLP, operational optimization, PEM electrolyzer, waste heat utilization
Subject
Suggested Citation
Wang Y, Bornemann L, Assen NVD. Harnessing waste heat in the optimal operation of power-to-X energy systems using detailed process models. Systems and Control Transactions 5:483-491 (2026) https://doi.org/10.69997/sct.176336
Author Affiliations
Wang Y: Institute of Technical Thermodynamics, RWTH Aachen University, Schinkelstr. 8, 52062 Aachen, Germany [ORCID]
Bornemann L: Institute of Environmental Technology and Energy Economics, Hamburg University of Technology, Eissendorfer Strasse 40, 21073 Hamburg, Germany [ORCID]
Assen NVD: Institute of Technical Thermodynamics, RWTH Aachen University, Schinkelstr. 8, 52062 Aachen, Germany [ORCID]
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Bornemann L: Institute of Environmental Technology and Energy Economics, Hamburg University of Technology, Eissendorfer Strasse 40, 21073 Hamburg, Germany [ORCID]
Assen NVD: Institute of Technical Thermodynamics, RWTH Aachen University, Schinkelstr. 8, 52062 Aachen, Germany [ORCID]
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Journal Name
Systems and Control Transactions
Volume
5
First Page
483
Last Page
491
Year
2026
Publication Date
2026-06-12
Version Comments
Original Submission
Other Meta
PII: 0483-0491-580-SCT-5-2026, Publication Type: Journal Article
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LAPSE:2026.0263
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https://doi.org/10.69997/sct.176336
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Jun 12, 2026
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References Cited
- Galvan-Cara AL, Bongartz D. Waste-heat upgrading from alkaline and PEM electrolyzers using heat pumps. Systems and Control Transactions 4:2063-2068 (2025) https://doi.org/10.69997/sct.192791
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- Wang Y, von der Assen N, Zhang Q. A decomposition method for optimizing the operation of power-to-X energy systems with detailed process models. Available at SSRN: http://dx.doi.org/10.2139/ssrn.5461101. (2025).
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