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Managing Risk in Hydro-Based Portfolios: the Brazilian Experience Mario Pereira mario@psr-inc.com Markets, I nvestments and Risks in Hydro vs Thermal-Dominated Systems The Energy Centre U of Auckland Business School Topics Brazilian


  1. Managing Risk in Hydro-Based Portfolios: the Brazilian Experience Mario Pereira mario@psr-inc.com Markets, I nvestments and Risks in Hydro vs Thermal-Dominated Systems The Energy Centre – U of Auckland Business School

  2. Topics • Brazilian system overview • Hydrothermal scheduling • Risks and challenges • Tools for risk management 2

  3. Topics • Brazilian system overview • Hydrothermal scheduling • Risks and challenges • Tools for risk management 3

  4. The big numbers... Surface area: 8 million km 2 Venezuela (= continental US + 1/2 Alaska) Colombia Population: 185 million GDP: US$ 800 billion Peru Brazil Installed capacity (2006): 100 GW Bolivia Production (2006): 50 GW average Peak load: 65 GW Paraguay Argentina Uruguay 4

  5. Energy production sources Hydro (85%): large plants in cascade, in several river basins, with multiple weather patterns Rio Grande Rio Grande CEMIG CEMIG FURNAS FURNAS AES-TIETÊ AES-TIETÊ Rio Tietê Rio Tietê CESP CESP CDSA CDSA Rio Paranaíba Rio Paranaíba Consórcios Consórcios COPEL COPEL Rio Paranapanema Rio Paranapanema TRACTEBEL TRACTEBEL ITAIPU ITAIPU Binacional Binacional Rio Iguaçu Rio Iguaçu Thermal (15%): natural gas (combined and simple cycle); coal; heavy fuel; diesel; nuclear; sugarcane biomass cogen 5

  6. Transmission network 2800 km Country is interconnected by 80 000 km of HV lines (>230 kV) 2200 MW interconnection with Argentina Long transmission lines (> 1 000 km) 15 000 km of new lines added in the past five years 3500 km Auctions for the construction of grid reinforcements Source: ONS, www.ons.org.br 6

  7. G, T and D Sectors • Generation – 11 major utilities + several smaller companies – 15% private (energy produced) – Total revenues (2005) : US$ 13 billion • Transmission – 35 companies (27 private) – Total revenues (2005) : US$ 3 billion • Distribution – 64 utilities – 80% private (energy consumed) – Total revenues (2005): US$ 27 billion 7

  8. Investment needs • For a GDP growth of 4%, it is necessary to install 3200 MW average of new firm energy per year ⇒ US$ 6 billion/year in investments Main objective: to ensure an efficient capacity increase 8

  9. Resources for generation expansion  North (N)  Northeast (NE): • Substantial hydro (170 GW); limited natural gas • offshore natural gas and oil; LNG and coal imports; biomass (sugarcane); wind  South (S):  Southeast (SE): • Electricity and gas • Hydro; Bolivian gas + local imports from Argentina; offshore gas fields local coal; binational (Campos and Santos); hydro plants; LNG biomass (sugarcane ) 9

  10. Topics • Brazilian system overview • Hydrothermal scheduling • Risks and challenges • Tools for risk management 10

  11. System dispatch • The National System Operator (ONS) controls the production of all hydro and thermal plants • Hydro plants are dispatched as a portfolio, to take advantage of hydrological diversity (export from “wet” to “dry” basins) 11

  12. The Hydrothermal (HT) scheduling problem • Formulated as a stochastic DP recursion – Objective: minimize the present value of expected operation cost (fuel cost for thermal plants + penalties for rationing) taking into account inflow uncertainty – State variables: reservoir storage levels and observed lateral inflows at each reservoir • For a system with 50 hydro plants and an autoregressive lag-3 model, this results into 200 state variables ⇒ Discrete stochastic DP cannot be used (curse of dimensionality) 12

  13. The SDDP scheme • A stochastic dual dynamic programming algorithm (SDDP) is used to solve the dispatch problem – the future cost function (FCF) is represented by piecewise linear hyperplanes (Benders cut) • no discretization necessary • The hyperplane coefficients are the dual values of the dispatch problem (hence the name) • The SDDP scheme has been applied to more than 40 countries in Latin America, Europe, Eurasia and Oceania 13

  14. Spot price • In addition to energy production schedule, the HT scheduling model calculates the system short-run marginal cost (SRMC) – Related to the opportunity cost of water (water value) • The SRMC is used as a proxy of spot prices in all wholesale energy market (WEM) transactions 14

  15. Zonal prices Although bus- level LMPs are calculated, a zonal system with 4 regions is used for WEM transactions The main transmission network has 3500 buses and 5000 circuits 15

  16. Topics • Brazilian system overview • Hydrothermal scheduling • Risks and challenges • Tools for risk management 16

  17. Average energy inflow – Southeast region 17

  18. Average storage level – Southeast region 18

  19. Average spot price – Southeast region 19

  20. Energy inflow scenarios – Southeast region 20

  21. Storage scenarios – Southeast region 21

  22. Spot price scenarios – Southeast region 22

  23. The spot price distribution is skewed 350 300 250 200 US$/MWh 150 100 50 média 0 1 8 15 22 29 36 43 50 57 64 71 78 85 92 99 106 113 120 127 134 141 148 155 162 169 176 183 190 197 23

  24. Low prices for a long time, punctuated by “spikes” 100 US$/MWh 90 80 70 60 50 40 30 20 10 0 jan-93 jul-93 jan-94 jul-94 jan-95 jul-95 jan-96 jul-96 jan-97 jul-97 24

  25. Challenges for new capacity • Because of price volatility, it is very risky for any generator (hydro or thermal) to enter the system as a merchant plant • The uncertainty is compounded by the variability of load growth 70 Base GDP High GDP Low GDP 4% 3.5% 5% 65 60 GWmédio 55 50 [High - Base]: 2700 MW average [Base – Low]: 700 MW average 45 40 2006 2007 2008 2009 2010 2011 25

  26. Topics • Brazilian system overview • Hydrothermal scheduling • Volatility of spot prices • Tools for risk management Contract auctions  Forward contracts for hydro  Call option contracts for thermal plants  26

  27. Supply contracts • All consumers (free and regulated) should be 100% contracted – Verified ex-post, for the cumulative energy consumption in the previous year • Although contracts are financial instruments (forward or call options), they must be “backed” by a firm energy “certificate” 27

  28. 100% contract + firm energy ⇒ expansion Load Should be 100% contracted; Genco increase looks for a genco or a trader New generation 28

  29. Contract auctions • Discos contract energy through auctions – Discos are responsible for load forecast; avoids government planners’ “optimism” – Contracts reduce risks for investors; lower prices • Free consumers can contract as they wish, as long as they remain 100% covered – Free consumers are 25% of the market – They serve as “checks and balances” for the regulated sector 29

  30. Auction results 2004-2006 • 5 auctions; US$ 50 billion in contracts 30

  31. Next auctions are scheduled for May 2007 Wind, 14 Small hydro, 31 Oil, 69 Hydro, 11 Natural Gas, 11 Cogen, 6 sugar cane BM, 55 Coal, 8 205 candidate projects; 25 thousand MWs 31

  32. Topics • Brazilian system overview • Hydrothermal scheduling • Volatility of spot prices • Tools for risk management Contract auctions  Forward contracts for hydro  Call option contracts for thermal plants  32

  33. Risks of forward contracts for hydro plants • For thermal plants, forward contracts are Ok – Hedge against low spot prices – If the spot price is high, the plant will dispatch; the worst expense is the fuel cost • However, significant risks remain for hydro 33

  34. Risk 1: variable hydro production 40 60 35 H2 50 30 H3 40 25 20 30 15 20 10 10 5 0 0 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 45 The production of individual 40 H1 35 hydro plants is quite 30 25 variable; long periods in 20 15 which the plant may be 10 “short” on the contract 5 0 1 2 3 4 5 6 7 8 9 10 11 12 34

  35. Solution: spatial hedging 40 60 35 H2 50 30 H3 40 25 20 30 15 20 10 10 5 0 0 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 70 70 45 60 60 40 H3 H3 H1 50 50 H2 H2 35 H1 H1 30 40 40 25 30 30 20 15 20 20 10 5 10 10 0 1 2 3 4 5 6 7 8 9 10 11 12 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 Idea: total hydro production is more stable 35

  36. The spatial hedging scheme (MRE) • All hydro plants are “shareholders” of a “hedge fund” called MRE • The total hydro production is assigned to MRE • It is then allocated to each plant as an “energy credit”, in proportion to the shares, not to the physical production • The energy credits are used for the WEM clearing Energy credit x physical hydro production 300 Physical production Energy credit 250 200 GWh 150 100 50 0 1 6 11 16 21 26 31 36 41 46 51 56 61 66 71 76 81 86 91 96 101 106 Month 36

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