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Residual Load, Renewable Surplus Generation and Storage Requirements in Germany
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- Markus Lauer & Daniela Thrän, 2018. "Flexible Biogas in Future Energy Systems—Sleeping Beauty for a Cheaper Power Generation," Energies, MDPI, vol. 11(4), pages 1-24, March.
- Neuhoff, Karsten & Diekmann, Jochen & Kunz, Friedrich & Rüster, Sophia & Schill, Wolf-Peter & Schwenen, Sebastian, 2016.
"A coordinated strategic reserve to safeguard the European energy transition,"
Utilities Policy, Elsevier, vol. 41(C), pages 252-263.
- Neuhoff, Karsten & Diekmann, Jochen & Kunz, Friedrich & Rüster, Sophia & Schill, Wolf-Peter & Schwenen, Sebastian, 2016. "A Coordinated Strategic Reserve to Safeguard the European Energy Transition," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 41, pages 252-263.
- Karsten Neuhoff & Jochen Diekmann & Friedrich Kunz & Sophia Rüster & Wolf-Peter Schill & Sebastian Schwenen, 2015. "A Coordinated Strategic Reserve to Safeguard the European Energy Transition," Discussion Papers of DIW Berlin 1495, DIW Berlin, German Institute for Economic Research.
- Scharf, Hendrik & Möst, Dominik, 2024. "Gas power — How much is needed on the road to carbon neutrality?," Energy Policy, Elsevier, vol. 187(C).
- Karsten Neuhoff & Sophia Rüster & Sebastian Schwenen, 2015. "Power Market Design beyond 2020: Time to Revisit Key Elements?," Discussion Papers of DIW Berlin 1456, DIW Berlin, German Institute for Economic Research.
- Martin Kittel & Wolf-Peter Schill, 2021. "Renewable Energy Targets and Unintended Storage Cycling: Implications for Energy Modeling," Papers 2107.13380, arXiv.org, revised Sep 2021.
- Bailera, Manuel & Lisbona, Pilar, 2018. "Energy storage in Spain: Forecasting electricity excess and assessment of power-to-gas potential up to 2050," Energy, Elsevier, vol. 143(C), pages 900-910.
- Ruggles, Tyler H. & Caldeira, Ken, 2022. "Wind and solar generation may reduce the inter-annual variability of peak residual load in certain electricity systems," Applied Energy, Elsevier, vol. 305(C).
- Zipp, Alexander, 2017. "The marketability of variable renewable energy in liberalized electricity markets – An empirical analysis," Renewable Energy, Elsevier, vol. 113(C), pages 1111-1121.
- O’Reilly, Ryan & Cohen, Jed & Reichl, Johannes, 2024. "Achievable load shifting potentials for the European residential sector from 2022–2050," Renewable and Sustainable Energy Reviews, Elsevier, vol. 189(PB).
- Pahle, Michael & Schill, Wolf-Peter & Gambardella, Christian & Tietjen, Oliver, 2016.
"Renewable Energy Support, Negative Prices, and Real-time Pricing,"
EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 37, pages 147-169.
- Michael Pahle, Wolf-Peter Schill, Christian Gambardella, and Oliver Tietjen, 2016. "Renewable Energy Support, Negative Prices, and Real-time Pricing," The Energy Journal, International Association for Energy Economics, vol. 0(Sustainab).
- Michael Pahle & Wolf-Peter Schill & Christian Gambardella & Oliver Tietjen, 2016. "Renewable Energy Support, Negative Prices, and Real-time Pricing," The Energy Journal, , vol. 37(3_suppl), pages 147-170, December.
- Michael Pahle & Wolf-Peter Schill & Christian Gambardella & Oliver Tietjen, 2015. "When Low Market Values Are No Bad News: On the Coordination of Renewable Support and Real-Time Pricing," Discussion Papers of DIW Berlin 1507, DIW Berlin, German Institute for Economic Research.
- Sinn, Hans-Werner, 2017.
"Buffering volatility: A study on the limits of Germany's energy revolution,"
European Economic Review, Elsevier, vol. 99(C), pages 130-150.
- Hans-Werner Sinn, 2016. "Buffering Volatility: A Study on the Limits of Germany's Energy Revolution," CESifo Working Paper Series 5950, CESifo.
- Sinn, Hans-Werner, 2017. "Buffering volatility: A study on the limits of Germany's energy revolution," Munich Reprints in Economics 49895, University of Munich, Department of Economics.
- Hans-Werner Sinn, 2016. "Buffering Volatility: A Study on the Limits of Germany’s Energy Revolution," NBER Working Papers 22467, National Bureau of Economic Research, Inc.
- Li, Yanxue & Gao, Weijun & Ruan, Yingjun & Ushifusa, Yoshiaki, 2018. "The performance investigation of increasing share of photovoltaic generation in the public grid with pump hydro storage dispatch system, a case study in Japan," Energy, Elsevier, vol. 164(C), pages 811-821.
- Dai, Hancheng & Xie, Xuxuan & Xie, Yang & Liu, Jian & Masui, Toshihiko, 2016. "Green growth: The economic impacts of large-scale renewable energy development in China," Applied Energy, Elsevier, vol. 162(C), pages 435-449.
- Kolb, Sebastian & Plankenbühler, Thomas & Frank, Jonas & Dettelbacher, Johannes & Ludwig, Ralf & Karl, Jürgen & Dillig, Marius, 2021. "Scenarios for the integration of renewable gases into the German natural gas market – A simulation-based optimisation approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 139(C).
- Hannes Hobbie & Constantin Dierstein & Dominik Möst & Matthew Schmidt, 2023. "Learning by Doing: Insights from Power Market Modelling in Energy Economics Courses," SN Operations Research Forum, Springer, vol. 4(2), pages 1-28, June.
- Engeland, Kolbjørn & Borga, Marco & Creutin, Jean-Dominique & François, Baptiste & Ramos, Maria-Helena & Vidal, Jean-Philippe, 2017. "Space-time variability of climate variables and intermittent renewable electricity production – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 79(C), pages 600-617.
- Do, Linh Phuong Catherine & Lyócsa, Štefan & Molnár, Peter, 2021. "Residual electricity demand: An empirical investigation," Applied Energy, Elsevier, vol. 283(C).
- Jonas Egerer and Wolf-Peter Schill, 2014.
"Power System Transformation toward Renewables: Investment Scenarios for Germany,"
Economics of Energy & Environmental Policy, International Association for Energy Economics, vol. 0(Number 2).
- Jonas Egerer & Wolf-Peter Schill, 2014. "Power System Transformation toward Renewables: Investment Scenarios for Germany," Discussion Papers of DIW Berlin 1402, DIW Berlin, German Institute for Economic Research.
- Xiong, Bobby & Predel, Johannes & Crespo del Granado, Pedro & Egging-Bratseth, Ruud, 2021. "Spatial flexibility in redispatch: Supporting low carbon energy systems with Power-to-Gas," Applied Energy, Elsevier, vol. 283(C).
- Götz, Manuel & Lefebvre, Jonathan & Mörs, Friedemann & McDaniel Koch, Amy & Graf, Frank & Bajohr, Siegfried & Reimert, Rainer & Kolb, Thomas, 2016. "Renewable Power-to-Gas: A technological and economic review," Renewable Energy, Elsevier, vol. 85(C), pages 1371-1390.
- Philip Tafarte & Annedore Kanngießer & Martin Dotzauer & Benedikt Meyer & Anna Grevé & Markus Millinger, 2020. "Interaction of Electrical Energy Storage, Flexible Bioenergy Plants and System-friendly Renewables in Wind- or Solar PV-dominated Regions," Energies, MDPI, vol. 13(5), pages 1-25, March.
- Matti Koivisto & Kaushik Das & Feng Guo & Poul Sørensen & Edgar Nuño & Nicolaos Cutululis & Petr Maule, 2019. "Using time series simulation tools for assessing the effects of variable renewable energy generation on power and energy systems," Wiley Interdisciplinary Reviews: Energy and Environment, Wiley Blackwell, vol. 8(3), May.
- Shaker, Hamid & Zareipour, Hamidreza & Wood, David, 2016. "Impacts of large-scale wind and solar power integration on California׳s net electrical load," Renewable and Sustainable Energy Reviews, Elsevier, vol. 58(C), pages 761-774.
- Kopiske, Jakob & Spieker, Sebastian & Tsatsaronis, George, 2017. "Value of power plant flexibility in power systems with high shares of variable renewables: A scenario outlook for Germany 2035," Energy, Elsevier, vol. 137(C), pages 823-833.
- Zerrahn, Alexander, 2017. "Wind Power and Externalities," Ecological Economics, Elsevier, vol. 141(C), pages 245-260.
- Reinhard Haas & Claudia Kemfert & Hans Auer & Amela Ajanovic & Marlene Sayer & Albert Hiesl, 2022. "On the economics of storage for electricity: Current state and future market design prospects," Wiley Interdisciplinary Reviews: Energy and Environment, Wiley Blackwell, vol. 11(3), May.
- Böttger, Diana & Götz, Mario & Theofilidi, Myrto & Bruckner, Thomas, 2015. "Control power provision with power-to-heat plants in systems with high shares of renewable energy sources – An illustrative analysis for Germany based on the use of electric boilers in district heatin," Energy, Elsevier, vol. 82(C), pages 157-167.
- Vinnemeier, Philipp & Wirsum, Manfred & Malpiece, Damien & Bove, Roberto, 2016. "Integration of heat pumps into thermal plants for creation of large-scale electricity storage capacities," Applied Energy, Elsevier, vol. 184(C), pages 506-522.
- Boßmann, T. & Staffell, I., 2015. "The shape of future electricity demand: Exploring load curves in 2050s Germany and Britain," Energy, Elsevier, vol. 90(P2), pages 1317-1333.
- Schill, Wolf-Peter & Gerbaulet, Clemens, 2015.
"Power System Impacts of Electric Vehicles in Germany: Charging with Coal or Renewables,"
EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 156, pages 185-196.
- Schill, Wolf-Peter & Gerbaulet, Clemens, 2015. "Power system impacts of electric vehicles in Germany: Charging with coal or renewables?," Applied Energy, Elsevier, vol. 156(C), pages 185-196.
- Wolf-Peter Schill & Clemens Gerbaulet, 2015. "Power System Impacts of Electric Vehicles in Germany: Charging with Coal or Renewables?," Discussion Papers of DIW Berlin 1442, DIW Berlin, German Institute for Economic Research.
- Norman Hendrik Riedel & Miroslav Špaček, 2022. "Challenges of Renewable Energy Sourcing in the Process Industries: The Example of the German Chemical Industry," Sustainability, MDPI, vol. 14(20), pages 1-19, October.
- Lauer, Markus & Thrän, Daniela, 2017. "Biogas plants and surplus generation: Cost driver or reducer in the future German electricity system?," Energy Policy, Elsevier, vol. 109(C), pages 324-336.
- Strübing, Dietmar & Moeller, Andreas B. & Mößnang, Bettina & Lebuhn, Michael & Drewes, Jörg E. & Koch, Konrad, 2018. "Anaerobic thermophilic trickle bed reactor as a promising technology for flexible and demand-oriented H2/CO2 biomethanation," Applied Energy, Elsevier, vol. 232(C), pages 543-554.
- Weitemeyer, Stefan & Kleinhans, David & Vogt, Thomas & Agert, Carsten, 2015. "Integration of Renewable Energy Sources in future power systems: The role of storage," Renewable Energy, Elsevier, vol. 75(C), pages 14-20.
- Figueiredo, Nuno Carvalho & Silva, Patrícia Pereira da, 2019. "The “Merit-order effect” of wind and solar power: Volatility and determinants," Renewable and Sustainable Energy Reviews, Elsevier, vol. 102(C), pages 54-62.
- Teirilä, Juha, 2020. "The value of the nuclear power plant fleet in the German power market under the expansion of fluctuating renewables," Energy Policy, Elsevier, vol. 136(C).
- Ignacio Mauleón, 2020. "Economic Issues in Deep Low-Carbon Energy Systems," Energies, MDPI, vol. 13(16), pages 1-32, August.
- Laurent Pagnier & Philippe Jacquod, 2017. "How fast can one overcome the paradox of the energy transition? A physico-economic model for the European power grid," Papers 1706.00330, arXiv.org, revised Jun 2018.
- Lauritz Bühler & Dominik Möst & Hendrik Scharf, 2023. "Grüner Wasserstoff: Wie steht es um die Wirtschaftlichkeit und welche Nachfrage lässt sich erwarten?," ifo Dresden berichtet, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 30(04), pages 16-22, August.
- Seier, Maximilian & Schebek, Liselotte, 2017. "Model-based investigation of residual load smoothing through dynamic electricity purchase: The case of wastewater treatment plants in Germany," Applied Energy, Elsevier, vol. 205(C), pages 210-224.
- Karsten Neuhoff, Sophia Wolter and Sebastian Schwenen, 2016.
"Power markets with Renewables: New perspectives for the European Target Model,"
The Energy Journal, International Association for Energy Economics, vol. 0(Bollino-M).
- Neuhoff, Karsten & Wolter, Sophia & Schwenen, Sebastian, 2016. "Power markets with Renewables: New perspectives for the European Target Model," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 37, pages 3-38.
- Dai, Hancheng & Fujimori, Shinichiro & Silva Herran, Diego & Shiraki, Hiroto & Masui, Toshihiko & Matsuoka, Yuzuru, 2017. "The impacts on climate mitigation costs of considering curtailment and storage of variable renewable energy in a general equilibrium model," Energy Economics, Elsevier, vol. 64(C), pages 627-637.
- Campos, José & Csontos, Csaba & Munkácsy, Béla, 2023. "Electricity scenarios for Hungary: Possible role of wind and solar resources in the energy transition," Energy, Elsevier, vol. 278(PB).
- Zerrahn, Alexander & Schill, Wolf-Peter, 2017.
"Long-run power storage requirements for high shares of renewables: review and a new model,"
Renewable and Sustainable Energy Reviews, Elsevier, vol. 79(C), pages 1518-1534.
- Alexander Zerrahn & Wolf-Peter Schill, 2015. "A Greenfield Model to Evaluate Long-Run Power Storage Requirements for High Shares of Renewables," Discussion Papers of DIW Berlin 1457, DIW Berlin, German Institute for Economic Research.
- Zerrahn, Alexander & Schill, Wolf-Peter & Kemfert, Claudia, 2018.
"On the economics of electrical storage for variable renewable energy sources,"
EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 108, pages 259-279.
- Zerrahn, Alexander & Schill, Wolf-Peter & Kemfert, Claudia, 2018. "On the economics of electrical storage for variable renewable energy sources," European Economic Review, Elsevier, vol. 108(C), pages 259-279.
- Cubi, Eduard & Akbilgic, Oguz & Bergerson, Joule, 2017. "An assessment framework to quantify the interaction between the built environment and the electricity grid," Applied Energy, Elsevier, vol. 206(C), pages 22-31.
- Tom Brijs & Arne van Stiphout & Sauleh Siddiqui & Ronnie Belmans, 2016. "Evaluating the Role of Electricity Storage by Considering Short-Term Operation in Long-Term Planning," Discussion Papers of DIW Berlin 1624, DIW Berlin, German Institute for Economic Research.
- Haas, J. & Cebulla, F. & Cao, K. & Nowak, W. & Palma-Behnke, R. & Rahmann, C. & Mancarella, P., 2017. "Challenges and trends of energy storage expansion planning for flexibility provision in low-carbon power systems – a review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 603-619.
- Lai, Chun Sing & McCulloch, Malcolm D., 2017. "Levelized cost of electricity for solar photovoltaic and electrical energy storage," Applied Energy, Elsevier, vol. 190(C), pages 191-203.
- Jan Abrell & Sebastian Rausch & Clemens Streitberger, 2022.
"The Economic and Climate Value of Flexibility in Green Energy Markets,"
Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 83(2), pages 289-312, October.
- Abrell, Jan & Rausch, Sebastian & Streitberger, Clemens, 2021. "The economic and climate value of flexibility in green energy markets," ZEW Discussion Papers 21-064, ZEW - Leibniz Centre for European Economic Research.
- Ueckerdt, Falko & Brecha, Robert & Luderer, Gunnar, 2015. "Analyzing major challenges of wind and solar variability in power systems," Renewable Energy, Elsevier, vol. 81(C), pages 1-10.
- Henni, Sarah & Schäffer, Michael & Fischer, Peter & Weinhardt, Christof & Staudt, Philipp, 2023. "Bottom-up system modeling of battery storage requirements for integrated renewable energy systems," Applied Energy, Elsevier, vol. 333(C).
- Rafindadi, Abdulkadir Abdulrashid & Ozturk, Ilhan, 2017. "Impacts of renewable energy consumption on the German economic growth: Evidence from combined cointegration test," Renewable and Sustainable Energy Reviews, Elsevier, vol. 75(C), pages 1130-1141.
- Zhao, Ning & You, Fengqi, 2020. "Can renewable generation, energy storage and energy efficient technologies enable carbon neutral energy transition?," Applied Energy, Elsevier, vol. 279(C).
- Brunner, Christoph & Deac, Gerda & Braun, Sebastian & Zöphel, Christoph, 2020. "The future need for flexibility and the impact of fluctuating renewable power generation," Renewable Energy, Elsevier, vol. 149(C), pages 1314-1324.
- Ehrlich, Lars G. & Klamka, Jonas & Wolf, André, 2015. "The potential of decentralized power-to-heat as a flexibility option for the german electricity system: A microeconomic perspective," Energy Policy, Elsevier, vol. 87(C), pages 417-428.
- Nolting, Lars & Praktiknjo, Aaron, 2019. "Techno-economic analysis of flexible heat pump controls," Applied Energy, Elsevier, vol. 238(C), pages 1417-1433.
- Jakob Medick & Isabel Teichmann & Claudia Kemfert, 2017. "Hydrothermal Carbonization (HTC) of Green Waste: An Environmental and Economic Assessment of HTC Coal in the Metropolitan Region of Berlin, Germany," Discussion Papers of DIW Berlin 1690, DIW Berlin, German Institute for Economic Research.
- Bareiß, Kay & de la Rua, Cristina & Möckl, Maximilian & Hamacher, Thomas, 2019. "Life cycle assessment of hydrogen from proton exchange membrane water electrolysis in future energy systems," Applied Energy, Elsevier, vol. 237(C), pages 862-872.
- Lukas Wienholt & Ulf Philipp Müller & Julian Bartels, 2018. "Optimal Sizing and Spatial Allocation of Storage Units in a High-Resolution Power System Model," Energies, MDPI, vol. 11(12), pages 1-17, December.
- Blanco, Herib & Faaij, André, 2018. "A review at the role of storage in energy systems with a focus on Power to Gas and long-term storage," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P1), pages 1049-1086.
- Blanco, Herib & Nijs, Wouter & Ruf, Johannes & Faaij, André, 2018. "Potential of Power-to-Methane in the EU energy transition to a low carbon system using cost optimization," Applied Energy, Elsevier, vol. 232(C), pages 323-340.
- Müller, Simon C. & Welpe, Isabell M., 2018. "Sharing electricity storage at the community level: An empirical analysis of potential business models and barriers," Energy Policy, Elsevier, vol. 118(C), pages 492-503.
- Göke, Leonard & Weibezahn, Jens & Kendziorski, Mario, 2023. "How flexible electrification can integrate fluctuating renewables," Energy, Elsevier, vol. 278(PA).
- Russo, Marianna & Bertsch, Valentin, 2020.
"A looming revolution: Implications of self-generation for the risk exposure of retailers,"
Energy Economics, Elsevier, vol. 92(C).
- Russo, Marianna & Bertsch, Valentin, 2018. "A looming revolution: Implications of self-generation for the risk exposure of retailers," Papers WP597, Economic and Social Research Institute (ESRI).
- Pagnier, Laurent & Jacquod, Philippe, 2018. "How fast can one overcome the paradox of the energy transition? A physico-economic model for the European power grid," Energy, Elsevier, vol. 157(C), pages 550-560.
- Papaefthymiou, Georgios & Haesen, Edwin & Sach, Thobias, 2018. "Power System Flexibility Tracker: Indicators to track flexibility progress towards high-RES systems," Renewable Energy, Elsevier, vol. 127(C), pages 1026-1035.
- Kondziella, Hendrik & Bruckner, Thomas, 2016. "Flexibility requirements of renewable energy based electricity systems – a review of research results and methodologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 53(C), pages 10-22.
- Kan, Xiaoming & Reichenberg, Lina & Hedenus, Fredrik, 2021. "The impacts of the electricity demand pattern on electricity system cost and the electricity supply mix: A comprehensive modeling analysis for Europe," Energy, Elsevier, vol. 235(C).
- Schill, Wolf-Peter & Niemeyer, Moritz & Zerrahn, Alexander & Diekmann, Jochen, 2016. "Bereitstellung von Regelleistung durch Elektrofahrzeuge: Modellrechnungen für Deutschland im Jahr 2035," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 40(2), pages 73-87.
- Philip Tafarte & Marcus Eichhorn & Daniela Thrän, 2019. "Capacity Expansion Pathways for a Wind and Solar Based Power Supply and the Impact of Advanced Technology—A Case Study for Germany," Energies, MDPI, vol. 12(2), pages 1-23, January.
- Petkov, Ivalin & Gabrielli, Paolo, 2020. "Power-to-hydrogen as seasonal energy storage: an uncertainty analysis for optimal design of low-carbon multi-energy systems," Applied Energy, Elsevier, vol. 274(C).
- Javier L'opez Prol & Wolf-Peter Schill, 2020.
"The Economics of Variable Renewables and Electricity Storage,"
Papers
2012.15371, arXiv.org.
- López Prol, Javier & Schill, Wolf-Peter, 2021. "The Economics of Variable Renewables and Electricity Storage," VfS Annual Conference 2021 (Virtual Conference): Climate Economics 242463, Verein für Socialpolitik / German Economic Association.
- Dotzauer, Martin & Pfeiffer, Diana & Lauer, Markus & Pohl, Marcel & Mauky, Eric & Bär, Katharina & Sonnleitner, Matthias & Zörner, Wilfried & Hudde, Jessica & Schwarz, Björn & Faßauer, Burkhardt & Dah, 2019. "How to measure flexibility – Performance indicators for demand driven power generation from biogas plants," Renewable Energy, Elsevier, vol. 134(C), pages 135-146.
- Schill, Wolf-Peter & Egerer, Jonas & Rosellón, Juan, 2015.
"Testing Regulatory Regimes for Power Transmission Expansion with Fluctuating Demand and Wind Generation,"
EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 47(1), pages 1-28.
- Wolf-Peter Schill & Jonas Egerer & Juan Rosellón, 2015. "Testing regulatory regimes for power transmission expansion with fluctuating demand and wind generation," Journal of Regulatory Economics, Springer, vol. 47(1), pages 1-28, February.
- Ulrich J. Frey & Martin Klein & Kristina Nienhaus & Christoph Schimeczek, 2020. "Self-Reinforcing Electricity Price Dynamics under the Variable Market Premium Scheme," Energies, MDPI, vol. 13(20), pages 1-19, October.
- Martin Kittel & Wolf-Peter Schill, 2024. "Measuring the Dunkelflaute: How (not) to analyze variable renewable energy shortage," Papers 2402.06758, arXiv.org, revised Aug 2024.
- Karsten Neuhoff & Sophia Wolter & Sebastian Schwenen, 2016. "Power Markets with Renewables: New Perspectives for the European Target Model," The Energy Journal, , vol. 37(2_suppl), pages 23-38, June.
- Schweiger, Gerald & Rantzer, Jonatan & Ericsson, Karin & Lauenburg, Patrick, 2017. "The potential of power-to-heat in Swedish district heating systems," Energy, Elsevier, vol. 137(C), pages 661-669.