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The Impact of Intermittent Renewable Energy Sources on Wholesale Electricity Prices Prof. Dr. Felix Müsgens, Thomas Möbius USAEE-Conference Pittsburgh, October 27, 2015
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Motivation How will intermittent renewable energy sources (RES) influence wholesale electricity prices, and in particular price volatility? Relevant for –Traders risk premia structural changes peak/off-peak –Regulators increasing zero variable cost generation peak load pricing and capacity mechanisms –Investors how to finance investment? Brandenburg University of Technology – Felix Müsgens2
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Outline and Methodology Stylized Analysis: –Two thermal technologies (base and peak load) –Exogenous RES capacity changes –Dynamic effects (i. e. start-up costs and minimum load requirements) –Uncertainty of RES feed-in investment planning start-up and dispatch decisions –Implemented with linear optimization electricity market model endogenous optimization of base/peak capacity investments and base/peak/wind dispatch (depending on availability factors) model computes green-field full cost electricity market equilibria electricity price equals marginal of demand constraint (shadow price) 3Brandenburg University of Technology – Felix Müsgens
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Outline and Methodology Stylized Analysis: –Two thermal technologies (base and peak load) –Exogenous RES capacity changes –Dynamic effects (i. e. start-up costs and minimum load requirements) –Uncertainty of RES feed-in Investment planning start-up and dispatch decisions –Load duration curve –Perfect foresight –Implemented with linear optimization electricity market model endogenous optimization of base/peak capacity investments and base/peak/wind dispatch (depending on availability factors) model computes (green-field) full cost electricity market equilibria, electricity price equals marginal of demand constraint. 4Brandenburg University of Technology – Felix Müsgens
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Insights from Textbook (Power System) Economics Brandenburg University of Technology – Felix Müsgens5 t [MW] X no RES generation Y RES generation t [MW] X no wind generation
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Results – Textbook Brandenburg University of Technology – Felix Müsgens6
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Outline and Methodology Stylized Analysis: –Two thermal technologies (base and peak load) –Exogenous RES capacity changes –Dynamic effects (i. e. start-up costs and minimum load requirements) –Uncertainty of RES feed-in Investment planning start-up and dispatch decisions –Load duration curve –Perfect foresight –Implemented with linear optimization electricity market model endogenous optimization of base/peak capacity investments and base/peak/wind dispatch (depending on availability factors) model computes (green-field) full cost electricity market equilibria, electricity price equals marginal of demand constraint. 7Brandenburg University of Technology – Felix Müsgens
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Equivalent (Simple) Electricity Market Model Objective Function s. t. Parameters: –Peak tech: OCGT, base tech: hard coal (numbers: appendix) –Wind: 0, 35 and 70 GW, availability factors from Germany –Hourly load profile: Germany Brandenburg University of Technology – Felix Müsgens8 Variable generation costs Annualized investment costs Lower/upper limit for generation Wind feed-in Energy balance – market clearing
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0 GW Wind35 GW Wind70 GW Wind Price Variance 286,000 286,024 Wind Curtailment [GWh per year] 00199 0 GW Wind35 GW Wind70 GW Wind Price Variance 286,000 286,024 Results Simplest model formulation Variance increases with further increasing wind capacity? Wind curtailment appears at 70 GW wind capacity! Brandenburg University of Technology – Felix Müsgens9 0 GW Wind35 GW Wind Price Variance 286,000
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Results – Textbook with Wind Curtailment Brandenburg University of Technology – Felix Müsgens10 Base- Load Peak- Load t [MW] X Y no wind generation high wind generation Curtail- ment
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Outline and Methodology Stylized Analysis: –Two thermal technologies (base and peak load) –Exogenous RES capacity changes –Dynamic effects (i. e. start-up costs and minimum load requirements) –Uncertainty of RES feed-in Investment planning start-up and dispatch decisions –Load duration curve –Perfect foresight –Implemented with linear optimization electricity market model endogenous optimization of base/peak capacity investments and base/peak/wind dispatch (depending on availability factors) model computes (green-field) full cost electricity market equilibria, electricity price equals marginal of demand constraint. 11Brandenburg University of Technology – Felix Müsgens
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Model Extensions – Intertemporal Constraints Objective Function Brandenburg University of Technology – Felix Müsgens12 Upper bound constraint Lower bound constraint Variable generation costs Annualized investment costs Start-up Costs Costs at partial load [MW el ] [hour]
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Model Extensions – Intertemporal Constraints Activating start-up costs Upper limit for started capacity Wind feed-in Energy Balance - Clearing the market in every time period Electricity price estimator: marginal of energy balance constraint Brandenburg University of Technology – Felix Müsgens13
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Results Extended Model - Intertemporal Constraints Intertemporal constraints generally lead to a higher price variance Slight increase up from the first 35 GW wind capacity is visible Brandenburg University of Technology – Felix Müsgens14 0 GW Wind35 GW Wind70 GW Wind Without intertemporal constraints Price Variance 286,000 286,024 Wind Curtailment [GWh per year] 00199 With intertemporal constraints Price Variance 286,762286,774286,814 Wind Curtailment [GWh per year] 00213 0 GW Wind35 GW Wind70 GW Wind Without intertemporal constraints Price Variance 286,000 286,024 Wind Curtailment [GWh per year] 00199
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Outline and Methodology Stylized Analysis: –Two thermal technologies (base and peak load) –Exogenous RES capacity changes –Dynamic effects (i. e. start-up costs and minimum load requirements) –Uncertainty of RES feed-in Investment planning start-up and dispatch decisions –Load duration curve –Perfect foresight –Implemented with linear optimization electricity market model endogenous optimization of base/peak capacity investments and base/peak/wind dispatch (depending on availability factors) model computes (green-field) full cost electricity market equilibria, electricity price equals marginal of demand constraint. 15Brandenburg University of Technology – Felix Müsgens
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Results – Volatility under Uncertainty Brandenburg University of Technology – Felix Müsgens16 long term variation of ‚wind years‘ 2010 2011 2012 2013 2014 short term wind variation – influences the unit commitment + 10% ± 0 - 10% ‚Investment Decision‘ + 10% ± 0 - 10% –Long term uncertainty due to a set of different ‘wind years’ One global investment decision with identical installed capacities for all wind years and short term deviations. –Short term uncertainty with a strong impact at the start-up decision Started capacity is fixed at the second stage of the scenario tree, but has to hold for all variations at the third stage Integrated ‘single stage’ electricity market model
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Model Extensions – Uncertainty Brandenburg University of Technology – Felix Müsgens17 Variable generation costs Annualized investment costs Start-up Costs Costs at partial load
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Model Extensions – Uncertainty Brandenburg University of Technology – Felix Müsgens18 s. t. following constraints –Lower/upper limit for generation –Activating start-up costs –Lower/upper limit for started capacity –Wind feed-in –Energy Balance - Clearing the market in every time period Electricity price estimator: marginal of energy balance constraint
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Results – Volatility under Uncertainty Generally higher values due to lower likelihood for the occurrence of the scarcity hour and thus, a significantly higher value for the scarcity price Brandenburg University of Technology – Felix Müsgens19 0 GW Wind35 GW Wind70 GW Wind Without intertemporal constraints Price Variance 286,000 286,024 Wind Curtailment [GWh per year] 00199 With intertemporal constraints Price Variance 286,762286,774286,814 Wind Curtailment [GWh per year] 00213 With intertemporal constraints - Under uncertainty Price Variance 286,7624,282,9144,282,976 Wind Curtailment [GWh per year] 00297
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Conclusion In all considered market equilibria, market prices cover (and must cover) full costs of all thermal technologies. This is true regardless of the amount of wind energy in the system. Price volatility increases with additional renewable energy sources (RES) capacity. Driving factors are –RES curtailment –Changes in residual load profile in combination with thermal inflexibility –Uncertainty of RES generation Brandenburg University of Technology – Felix Müsgens20
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Thank you very much! Questions?
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22 Methodology Stylized system with two thermal technologies and one intermittent RES technology –Base-Load Technology:High fix and low variable costs –Peak-Load Technology :Low fix and high variable costs Variable wind generation as the only intermittent RES –Wind capacities exogenously implemented Brandenburg University of Technology – Felix Müsgens TechnologyEfficiency loss at minimum load [% ‑ pt] Base Load132,00034105406 Peak Load56,00070402022 Wind-0000
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23 Backup I Comparison of resulting investment decision with and without considering uncertainty at different wind levels Uncertain wind realization encourages a higher share of peak load plants Brandenburg University of Technology – Felix Müsgens
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24 Backup II – Basic Model Objective Function –Operating at partial load is causing lower efficiency rates and thus, higher variable costs Brandenburg University of Technology – Felix Müsgens [MW] [hour]
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