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From power to energy Power is an instantaneous quantity (W), which - PowerPoint PPT Presentation

From power to energy Power is an instantaneous quantity (W), which we denote p Energy is the result of integrating power generation over time (Wh), i.e., t + t E t t + t = p d t 2/6 Capacity and reservation At any time


  1. From power to energy Power is an instantaneous quantity (W), which we denote p τ Energy is the result of integrating power generation over time (Wh), i.e., � t +∆ t E t → t +∆ t = p τ d τ t 2/6

  2. Capacity and reservation At any time τ , power can be up to p max A part of that available power may be subject to capacity reservation (W), i.e., p τ ≤ p max − c res , ∀ τ Contracting of ancillary services by the system operator implies capacity reservation More generally capacity reservation can be in both up and down directions This hence affects the possibility to offer on the day-ahead electricity market 3/6

  3. Payment for capacity and energy � can generate up to p max = 100MW for a market time unit of interest. Imagine that RT R 3 illustrative cases: � gets a capacity reservation of 10MW for upward regulation, it can then only offer between 0 RT R and 90MWh on the day-ahead electricity market Say capacity is reserved at 100DKK/MW and all energy sold at λ S = 200DKK/MWh, the resulting revenue is � ) = 10 × 100 + 90 × 200 = 19000DKK Revenue( RT R 4/6

  4. Payment for capacity and energy (2) 3 illustrative cases (cont.): � gets a capacity reservation of 10MW for downward regulation, it can then only offer RT R between 10 and 100MWh on the day-ahead electricity market Say capacity is reserved at 100DKK/MW and all energy sold at λ S = 200DKK/MWh, the resulting revenue is � ) = 10 × 100 + 100 × 200 = 21000DKK R Revenue( RT � gets a capacity reservation of 10MW for upward regulation and 20MW for downward RT R regulation, it can then only offer between 20 and 90MWh on the day-ahead electricity market Say capacity is reserved at 100DKK/MW and all energy sold at λ S = 200DKK/MWh, the resulting revenue is � ) = 30 × 100 + 90 × 200 = 21000DKK R Revenue( RT 5/6

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