Chaire European Electricity Markets (CEEM) Université Paris-Dauphine
OPTIAL CAPACITY INVESTMENTS AND FLEXIBILITY RESOURCES:
AN INVESTMENT MODEL INTEGRATING THE SHORT-TERM REQUIREMENTS
WITH THE LONG-RUN DYNAMICS
PhD student, Manuel Villavicencio
1 Introduction 2 The power system in context 3 Model - - PowerPoint PPT Presentation
OPTIAL CAPACITY INVESTMENTS AND FLEXIBILITY RESOURCES: AN INVESTMENT MODEL INTEGRATING THE SHORT-TERM REQUIREMENTS WITH THE LONG-RUN DYNAMICS PhD student, Manuel Villavicencio Chaire European Electricity Markets (CEEM) Universit Paris-Dauphine
PhD student, Manuel Villavicencio
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Source: Strbac. Imperial College London, 2012.
Minutes (5 – 30 min)
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𝑑𝑝𝑜
𝑑𝑝𝑜,𝑢 + 𝐷𝑃2𝑑𝑝𝑜,𝑢 +∆𝐻𝑑𝑝𝑜,𝑢 𝑢 𝑑𝑝𝑜
𝑠𝑓𝑡
𝑢 𝑠𝑓𝑡
𝑓𝑓𝑡
𝑢 𝑓𝑓𝑡
𝑒𝑡𝑛
𝑢 𝑚𝑑
𝑢 𝑚𝑡
spinning reserve supply capabilities
related constraints
Set Element Description T 𝑢 ∈ T Time slice I I ∈ I Generation technologies I ⊇ Con 𝑑𝑝𝑜 ∈ I Conventional technologies I ⊇ RES 𝑠𝑓𝑡 ∈ I Renewable energy sources I ⊇ EES 𝑓𝑓𝑡 ∈ I Electric energy storage technologies DSM ⊇ LC 𝑚𝑑 ∈ DSM Demand side management able to supply load curtailment DSM ⊇ LS 𝑚𝑡 ∈ DSM Demand side management able to supply load shifting
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Lt
base 1 + 𝜀 = 𝐻𝑚𝑠𝑓𝑡,𝑢− 𝐻𝑑𝑣𝑠𝑓𝑡,𝑢 𝑠𝑓𝑡
+ 𝐻𝑑𝑝𝑜,𝑢
𝑡𝑧𝑜𝑑 𝑑𝑝𝑜
+ 𝑇𝑓𝑓𝑡,𝑢
𝑒𝑑ℎ − 𝑇𝑓𝑓𝑡,𝑢 𝑑ℎ
+ 𝐸𝑇𝑁𝑚𝑚𝑑,𝑢
𝑚𝑑 𝑓𝑓𝑡
+ 𝐸𝑇𝑁𝑚𝑡,𝑢𝑢,𝑢
𝑒𝑝 𝑢𝑢=𝑢+𝑀𝑚𝑡 𝑢𝑢=𝑢−𝑀𝑚𝑡 𝑚𝑡
− 𝐸𝑇𝑁𝑚𝑡,𝑢
𝑣𝑞 𝑚𝑡
∀ 𝑢
Variable Unit Description 𝐻𝑑𝑝𝑜,𝑢
𝑡𝑧𝑜𝑑
[GW] Synchronized power level of technology con
𝐻𝑚
𝑠𝑓𝑡,𝑢
[GW] Power level of RES unit res 𝐻𝑠𝑓𝑡,𝑢
𝑑𝑣
[GW] Power curtailed by res on hour t 𝑇𝑓𝑓𝑡,𝑢
𝑑ℎ
[GW] Power demanded by storage unit ees on time t 𝑇𝑓𝑓𝑡,𝑢
𝑒𝑑ℎ
[GW] Power supplied by storage unit ees on time t 𝐸𝑇𝑁𝑚
𝑚𝑑,𝑢
[GW] DSM curtailment of load lc on time t 𝐸𝑇𝑁𝑚𝑡,𝑢
𝑣𝑞
[GW] DSM shifting up ls on time t 𝐸𝑇𝑁𝑚𝑡,𝑢,𝑢𝑢
𝑒𝑝
[GW] DSM shifting up ls on time tt from t
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“Operating Reserves and Variable Generation”
Source: NREL 2011, “Operating Reserves and Variable Generation”
𝜁𝑚
𝑛𝐺𝑆𝑆𝑣𝑞/𝑒𝑝𝑥𝑜 𝑀𝑢 𝑐𝑏𝑡𝑓 1 + 𝜀 + 𝜁𝑠𝑓𝑡 𝑛𝐺𝑆𝑆𝑣𝑞/𝑒𝑝𝑥𝑜 𝑄 𝑠𝑓𝑡 = 𝐻𝑑𝑝𝑜,𝑢 𝑛𝐺𝑆𝑆𝑣𝑞/𝑒𝑝𝑥𝑞
𝑡𝑞
+ 𝐻𝑑𝑝𝑜,𝑢
𝑛𝐺𝑆𝑆𝑣𝑞/𝑒𝑝𝑥𝑜
𝑜𝑡𝑞
+ 𝑇𝑓𝑓𝑡,𝑢
𝑑ℎ,𝑛𝐺𝑆𝑆𝑣𝑞/𝑒𝑝𝑥𝑜 + 𝑇𝑓𝑓𝑡,𝑢 𝑒𝑑ℎ,𝑛𝐺𝑆𝑆𝑣𝑞/𝑒𝑝𝑥𝑜 𝑓𝑓𝑡 𝑑𝑝𝑜 𝑠𝑓𝑡
𝜁𝑚
𝑏𝐺𝑆𝑆𝑣𝑞/𝑒𝑝𝑥𝑜 𝑀𝑢 𝑐𝑏𝑡𝑓 1 + 𝜀 + 𝜁𝑠𝑓𝑡 𝑏𝐺𝑆𝑆𝑣𝑞/𝑒𝑝𝑥𝑜 𝑄 𝑠𝑓𝑡 = 𝐻𝑑𝑝𝑜,𝑢 𝑏𝐺𝑆𝑆𝑣𝑞/𝑒𝑝𝑥𝑜 + 𝑇𝑓𝑓𝑡,𝑢 𝑑ℎ,𝑏𝐺𝑆𝑆𝑣𝑞/𝑒𝑝𝑥𝑜 + 𝑇𝑓𝑓𝑡,𝑢 𝑒𝑑ℎ,𝑏𝐺𝑆𝑆𝑣𝑞/𝑒𝑝𝑥𝑜 𝑓𝑓𝑡 𝑑𝑝𝑜 𝑠𝑓𝑡
Residual forecast error
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aFRR up mFRR up aFRR down mFRR down
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Optimal investments Optimal dispatch Optimal reserve supply
aFRR up aFRR down mFRR up mFRR down EOM
Optimal scheduling of available capacity (generation, EES and DSM) regarding
Verifying reliability compliance given dispatched unit regulating capabilities
Investments: set installed capacity (I-RES, conventionals, EES) and fixed cost Defines annual net load Defines reserve requirements
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CO2 tax: 20€/ton No interconnection considered DSM < 2% Lt Greenfield optimization
40,7 42,5 45,6 48,9 53,2 59,2 66,9 76,0 86,7 99,7 150,7 25000 50000 75000 100000 125000 150000 175000 200000 225000 250000 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 [M€] RE share
42,0 43,9 47,2 51,6 58,0 66,1 76,0 88,9 103,3 125,9 234,8 25000 50000 75000 100000 125000 150000 175000 200000 225000 250000 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 [M€] RE share
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200 400 600 800 1000 1200 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 [€/Kw yr] RE share
Load following cost CO2 emissions cost Total fuel cost Total O&M cost Total overnight cost System value of flexible resources
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reserve
investments increases exponentially when increasing RE shares because of the low capacity value of RES.
highly increases capacity value of RES.
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15 36 59 83 110 140 172 203 240 379 100 200 300 400 500 600 700 800 0,1 0,2 0,3 0,4 0,5 0,6 1 Capacity [GW] RE share
PV Wind Reservoir CT CCGT Hard coal Lig Nuclear
15 36 61 91 123 159 200 239 313 735 1 5 30 62 100 200 300 400 500 600 700 800 0,1 0,2 0,3 0,4 0,5 0,6 1 Capacity [GW] RE share
…
20 40 60 80 100 120 140 160 180 200 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 [GW] RE share
CT DSM capacity CAES PHS VRFB NaS Li-ion
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Current PHS capacity in the EU Current PHS capacity in the world
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50 100 150 200 250 300 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1
t CO2/yr
RE share
Full - RMSE=1 With EES & DSM Full - RMSE=1 w/o EES or DSM
Approach: System cost minimization study (Greenfield case) CO2 tax: 20 €/ton No interconnection considered Only con and EES can supply reserve
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100 200 300 400 500 600 700 800 900 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 [€/kW yr] RE share
Technology forecasted cost for 2013 - PNNL, 2012
System value of flexible resources Li-ion NaS VRFB PHS ACAES
100 200 300 400 500 600 700 800 900 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 [€/kW yr] RE share
Technology forecasted cost for 2020 - PNNL, 2012
100 200 300 400 500 600 700 800 900 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 [€/kW yr] RE share
Technology forecasted cost for 2050 - Pape et Al. 2014
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load following): Need for improved forecast
Source: EURELECTRIC, 2010
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Exceeding offers
market Source: IEA, 2014 10GW of wind 10GW of peaking units
DV DP
there is a higher need for availability and flexibility. Capacity mechanisms.
part load efficiencies => higher operational cost of individual units
=> missing money problem
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there is a higher need for flexibility
part load efficiencies => higher operational cost of individual units
problem (“Missing money or missing markets”, Newbery 2015)
Exceeding offers
market
DCF
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=> Retirement of peaking plants. E.x: Mothballing of 20GW CCGT capacity from EU markets of which 8,8GW were “recently” installed units
threatening incentives for new investments.
Source: Robinson, 2015
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Source: Palmintier, 2014.
Variations
Relative accuracy
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Source: Palmintier, 2014.
variations
Relative accuracy
𝑑𝑝𝑜
𝑢 𝑑𝑝𝑜
𝑠𝑓𝑡
𝑢 𝑠𝑓𝑡
𝑓𝑓𝑡
𝑢 𝑓𝑓𝑡
𝑢 𝑚𝑑
𝑢 𝑚𝑡
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Source: Palmintier, 2014.
Complete MILP formulation with unit clustering 8760h: MIP gap = 0.1% => > 60h variations
Relative accuracy
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Source: Palmintier, PSCC 2014.
variations
Relative accuracy
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Base unit
(peak unit?)
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Source: Zerranh and Schill, 2015.
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Source: NREL 2011, “Operating Reserves and Variable Generation”
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Source: Stiphout, 2014. FRR dimensioning based on ELIA methodology, 2012 Source: Hirth & Ziegenhagen, 2013. Control Power and Variable Renewables: A Glimpse at German Data
1/Cap
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Source: NREL 2011, “Operating Reserves and Variable Generation”
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Source: ELIA, 2012.
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Source: NREL 2011, “Operating Reserves and Variable Generation”
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Energy balancing: J-1 market Secondary control aFRR up mFRR up aFRR down mFRR down
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Source: ELIA, 2012.
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Effect of I-RES curtailment
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Effect of I-RES curtailment
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? …
DSM_CURT DSM load curtailment h1 h170 h411 h652 h894 h1161 h1454 h1747 h2040 h2333 h2627 h2920 h3213 h3506 h3799 h4092 h4385 h4678 h4972 h5265 h5558 h5851 h6144 h6437 h6730 h7023 h7316 h7610 h7903 h8196 h8489 3,5 3,4 3,3 3,2 3,1 3 2,9 2,8 2,7 2,6 2,5 2,4 2,3 2,2 2,1 2 1,9 1,8 1,7 1,6 1,5 1,4 1,3 1,2 1,1 1 0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 DSM_UP DSM load shifting up h1 h167 h404 h642 h879 h1142 h1430 h1719 h2007 h2295 h2583 h2872 h3160 h3448 h3737 h4025 h4313 h4601 h4890 h5178 h5466 h5755 h6043 h6331 h6620 h6908 h7196 h7484 h7773 h8061 h8349 h8638 3,5 3,4 3,3 3,2 3,1 3 2,9 2,8 2,7 2,6 2,5 2,4 2,3 2,2 2,1 2 1,9 1,8 1,7 1,6 1,5 1,4 1,3 1,2 1,1 1 0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1