Real-Time Optimization of the Mid-Columbia Hydropower System

Hamann, Andrew; Hug, Gabriela; Rosinski, S.T.

doi:10.1109/tpwrs.2016.2550490

Cited by 28 publications

(10 citation statements)

References 22 publications

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“…The use of (1) as a constraint in the dispatch algorithm makes the optimization problem non-convex since it is a non-linear constraint. Thus, several works are dedicated into determining approximations of (1) (e.g., [5]). A linear function fit to the three-dimensional hydropower production function denoted bỹ…”

Section: A Hydroelectric Power Outputmentioning

confidence: 99%

“…We represent the cascading constraints by (6)- (8) and (14) for the hydroelectric plants and the pumped storage hydro plants, respectively; the relationship between the head level and live volume by (21); the power balance by (25). The lower and upper bounds of decision variables are included through (4)- (5), and (9). The power output limits constraints in (3) are now…”

Section: Optimal Dispatch Formulationmentioning

confidence: 99%

“…The authors in [4] use Monte Carlo techniques for the short-term operation of the Itaipu hydroelectric power system subject to inflow uncertainties. Another case study is presented in [5] where a model predictive control scheme for the Mid-Columbia hydropower system is proposed.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimal Dispatch of Pumped Storage Hydro Cascade Under Uncertainty

Najibi

Alonso

Apostolopoulou

2018

2018 UKACC 12th International Conference on Control (CONTROL)

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In this paper, we propose an optimal dispatch scheme for a pumped storage hydro cascade that maximizes the energy per cubic meter of water in the system taking into account uncertainty in the net load variations. To this end, we introduce a model to describe the behaviour of a pumped storage hydro cascade and formulate its optimal dispatch. We then incorporate forecast scenarios in the optimal dispatch, and define a robust variant of the developed system. The resulting optimization problem is intractable due to the infinite number of constraints. Using tools from robust optimization, we reformulate the resulting problem in a tractable form that is amenable to existing numerical tools and show that the computed dispatch is immunised against uncertainty. The efficacy of the proposed approach is demonstrated by means of a realistic case study based on the Seven Forks system located in Kenya.

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Section: A Hydroelectric Power Outputmentioning

confidence: 99%

Section: Optimal Dispatch Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Optimal Dispatch of Pumped Storage Hydro Cascade Under Uncertainty

Najibi

Alonso

Apostolopoulou

2018

2018 UKACC 12th International Conference on Control (CONTROL)

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“…Other methods for scheduling and/or coordinated control in cascaded river systems have been described [5]- [7]. These approaches apply different optimization techniques, and are often tailored for individual river systems.…”

Section: Introductionmentioning

confidence: 99%

Optimal Pricing of Production Changes in Cascaded River Systems with Limited Storage

Riddervold

Skjelbred

Kong

et al. 2018

Proceedings of the 6th International Workshop on Hydro Scheduling in Competitive Electricity Markets

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Optimization of hydroelectric power production is often executed for river systems consisting of several powerplants and reservoirs located in the same region. For hydropower stations located along the same river, the release from upstream reservoirs ends up as inflows to downstream stations. Calculating marginal cost for a string of powerplants with limited reservoir capacity between them, requires a new approach compared to heuristically calculating marginal cost for single plants in well-regulated hydrological systems. A new method, using marginal cost curves for individual powerplants to generate an overall marginal cost curve for interlinked power stations has been developed. Results based on a real-world case study demonstrate the advantage of the proposed method in terms of solution quality, in addition to significant insight into how optimal load distribution should be executed in daily operations.

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“…The authors in [13] use Monte Carlo techniques for the short-term operation of the Itaipu hydroelectric power system subject to inflow uncertainties. Another case study is presented in [14] where a model predictive control scheme for the Mid-Columbia hydropower system is proposed. In [11], stochastic mixed-integer programming is formulated to account for hydrological uncertainty by using momentbased scenario reduction techniques to reduce the complexity.…”

mentioning

confidence: 99%

Robust Optimization for Hydroelectric System Operation Under Uncertainty

Apostolopoulou

Grève

McCulloch

2018

IEEE Trans. Power Syst.

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Abstract-In this paper, we propose an optimal dispatch scheme for a cascade hydroelectric power system that maximises the head levels of each dam, and minimises the spillage effects taking into account uncertainty in the net load variations, i.e., the difference between the load and the renewable resources, and inflows to the cascade. By maximising the head levels of each dam the volume of water stored, which is a metric of system resiliency, is maximised. In this regard, the operation of the cascade hydroelectric power system is robust to the variability and intermittency of renewable resources and increases system resilience to variations in climatic conditions. Thus, we demonstrate the benefits of coupling hydroelectric and photovoltaic resources. To this end, we introduce an approximate model for a cascade hydroelectric power system. We then develop correlated probabilistic forecasts for the uncertain output of renewable resources, e.g., solar generation, using historical data based on clustering and Markov chain techniques. We incorporate the generated forecast scenarios in the optimal dispatch of the cascade hydroelectric power system, and define a robust variant of the developed system. However, the robust variant is intractable due to the infinite number of constraints. Using tools from robust optimisation, we reformulate the resulting problem in a tractable form that is amenable to existing numerical tools and show that the computed dispatch is immunised against uncertainty. The efficacy of the proposed approach is demonstrated by means of an actual case study involving the Seven Forks system located in Kenya, which consists of five cascaded hydroelectric power systems. With the case study we demonstrate that the Seven Forks system may be coupled with solar generation since the "price of robustness" is small; thus demonstrating the benefits of coupling hydroelectric systems with solar generation. Permanent repository link

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Real-Time Optimization of the Mid-Columbia Hydropower System

Cited by 28 publications

References 22 publications

Optimal Dispatch of Pumped Storage Hydro Cascade Under Uncertainty

Optimal Dispatch of Pumped Storage Hydro Cascade Under Uncertainty

Optimal Pricing of Production Changes in Cascaded River Systems with Limited Storage

Robust Optimization for Hydroelectric System Operation Under Uncertainty

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