The paper gives an overview of the deregulated electricity supply system in Norway, with emphasis on generation scheduling approach. Procedures and tools for long-, medium- short-term are described. Scheduling is carried out by each individual utility. Since based profit maximizing, spot market price a very important factor; this varying uncertain, however. A part describes how to deal considering as exogenously given stochastic variable. It shown extend common water value computations so...

The paper describes the implementation of a new integrated tool for risk management in hydropower systems. Earlier practice Scandinavia has been to separate operations scheduling and contract management. In present approach operation hedging by future contacts are one model. level is controlled setting revenue targets. Revenues below target penalized; this implicitly defines utility function reduce risk. possibility dynamically changing portfolio now represented. resulting large stochastic...

This study describes a model for optimal scheduling of hydro thermal systems with multiple reservoirs. Inflow to hydropower reservoirs, wind power and exogenously given prices are treated as stochastic variables. Power flow constraints included through linearised model. A representation start‐up costs generating units pumps is provided. The well suited medium‐ long‐term generation has the capability capturing detailed system by using fine time resolution. presented tested on realistic...

This paper describes a method for optimal scheduling of hydropower systems profit maximizing, price-taking, and risk neutral producer selling energy, capacity to separate sequentially cleared markets. The is based on combination stochastic dynamic programming (SDP) dual (SDDP), treats inflow reservoirs prices energy as variables. proposed applied in case study Norwegian watercourse, quantifying the expected changes schedules, water values when going from an energy-only market joint treatment reserve

Most generation expansion planning tools do not model uncertainties in important variables such as energy demand and prices of carriers together with the dynamics system. A method for handling these problems is described. The based on stochastic dynamic programming. As uncertain are modeled by Markov chains they give a natural year-to-year dependence variables. This modeling makes it possible to describe connection between investment decisions, time, construction periods, uncertainty....

The authors describe a method for long-term hydro-thermal scheduling allowing treatment of detailed large-scale hydro systems. Decisions each week are determined by solving two-stage stochastic linear programming problem considering uncertainty in weather and exogenous market prices. overall is solved embedding such problems rolling horizon simulator. verified on data the Nordic power system, studying incremental changes expected socio-economic surplus expansions both transmission generation...

Future power production in Europe is expected to include large shares of variable wind and solar production. Norway, with approximately half the hydropower reservoir capacity Europe, can contribute balance variability. The aim this paper assess how such a role may impact Norwegian system terms pattern plants, changes level water values. study uses stochastic optimization simulation model analyses an eHighway2050 scenario combined increases capacities Norway. from ca. 31 GW present 42 50...

Maintenance scheduling is an important and complex task in hydropower systems. In a liberalized market, the generation company will schedule maintenance periods to maximize expected profit. This paper describes method for suitable profit maximizing, price-taking, risk neutral producer selling energy reserve capacity separate markets. The uses Benders decomposition principle coordinate timing of power plant with medium-term system, treating inflow reservoirs prices as stochastic variables....

Balancing technical details and computational complexity is an important trade-off in long-term hydropower scheduling (LTHS) models. Rapidly increasing shares of variable renewable energy sources (VRES) challenges historical assumptions regarding the appropriate level representation uncertainties LTHS This work expands on previous research formulates efficient solution strategy to accommodate short-term variability uncertainty into models, through gradually approximating shortterm dispatch...

Abstract Previous research has identified flexible Norwegian hydropower as one potential key resource for managing variations in wind and solar power Northern Europe. There is, however, a need further detailed examination of this role based on updated future scenarios using the latest data model tools available. We analyze system impacts expanding flexibility Norway-Europe transmission, considering renewable energy variability simulation historical weather years 1991-2020. The simulations...

We test the stochastic dual dynamic programming (SDDP) approach on a system an order of magnitude larger than previously published studies. The analysis shows that SDDP-approach can be applied to very large sizes solve hydropower scheduling problem through formal optimisation and obtain individual decision variables for every reservoir. However, this time-consuming compared other existing models based principles. results from our SDDP-based model compare favorably aggregation-disaggregation...

While hydropower scheduling is a well-defined problem, there are institutional differences that need to be identified promote constructive and synergistic research. We study how established toolchains of computer models organized assist operational in Brazil, Norway, the United States' Colorado River System (CRS). These three systems have vast resources, with numerous, geographically widespread, complex reservoir systems. Although underlying objective essentially same, operated different...

The authors analyse the operational profitability of a hydropower system selling both energy and reserve capacity in competitive market setting. A mathematical model based on stochastic dynamic programming is used to compute water values for considering different power plant configurations. uncertainties inflow prices are considered through discrete Markov chain. Subsequently, operation simulated obtained assess performance expected revenues from two markets. applied case study Norwegian...

Thanks to its huge water storage capacity, Norway has an excess of energy generation at annual scale, although significant regional disparity exists. On average, the Mid-Norway region deficit and needs import more electricity than it exports. We show that this can be reduced with increase in wind transmission line even future climate scenarios where both mean temperature precipitation are changed. For considered scenarios, observed winter disappears, i.e., when consumption prices high. At...

Hydroeconomic models have been used to determine policies for efficient allocation of scarce water resources. Hydropower benefits are typically represented through exogenous electricity prices, but these do not consider the effect that power market can on hydropower release policy and vice versa. To improve representation in hydroeconomic models, an application stochastic dynamic programming, known as value method, was maximize irrigation while minimizing costs generation within a market....

This paper describes the structure and identification of a price model that is used in stochastic optimization hydro operation flexible contracts. The must be simple order to applicable framework should incorporate as much statistics process possible. Modelling extremes an important factor for simulation capabilities optimisation models. shows examples simulated optimal hydropower plants with new model. also how integrates financial hedging. In forward market, prices contracts delivery...

This paper presents a method for treating transmission network bottlenecks in stochastic hydro-thermal scheduling model. The model is designed long- and medium-term of power system operation, where decisions are made aggregated regional subsystems or areas. aggregate area representation allows simulation large hydro systems with relatively high degree detail, thus making the well suited comprehensive studies on national international scale.

This paper presents a method for treating transmission network bottlenecks in stochastic market model, through flow-based clearing process. The model is designed long-term and medium-term scheduling of hydrothermal power system operation, where generators loads are allocated into regional subsystems or price areas. In addition to detailed hydropower, the allows use wind data start-up costs on thermal generators. A description model's overall simulation logic presented, emphasizing...

The aim of this paper is to quantify the value flexible power generation technologies in Northern Europe 2030, and particular hydropower with storage. Two scenarios for European system 2030 are presented. study uses a fundamental hydrothermal model combined North-and West-European system. gives optimal operation system, including strategies individual hydro reservoirs, dispatch plants simulated prices. results show generation, income realized prices selection gas plants, as well wind solar...

The balance between detailed technical description, representation of uncertainty and computational complexity is central in long-term scheduling models applied to hydro-dominated power system. aggregation complex hydropower systems into equivalent energy representations (EER) a commonly used technique reduce dimensionality computation time models. This work presents method for coordinating the EERs with their system within model based on stochastic dual dynamic programming (SDDP). SDDP an...