Abstract

As the penetration of variable renewable power generation increases in power systems around the world, system security is challenged. It is crucial to coordinate the available flexible generating resources, such as hydropower, to meet the need for system balancing. However, reserved capacity on hydropower plants should only be activated if there is sufficient energy or storage capacity to either increase or decrease production. The potential change in production will also affect all reservoirs and plants connected by the cascaded topology. These issues are largely ignored or simplified in hydropower reserve scheduling models. To properly account for the possible activation of reserved capacity, several two-stage model formulations based on stochastic and robust optimization are presented and compared in this paper. The uncertainty in net load deviations due to forecasting errors in renewable power generation is considered the source of reserve capacity activation. The case study based on a real Norwegian watercourse clearly shows the benefit of using any of the two-stage model solutions over the standard deterministic reserve procurement. A novel hybrid stochastic-robust model formulation is presented and shown to efficiently increase the robustness of the solution without notably increasing the reserve procurement cost compared to the stochastic and robust models.

Highlights

  • Hydropower is a valuable asset for any power system, as it is flexible and fast to regulate compared to thermal generation technologies

  • This paper addresses the importance of explicitly representing the activation of reserved production capacity in the reserve procurement phase of a hydropower scheduling model

  • Cascaded hydropower systems have the added problem of being physically connected, and many plants will be affected by a single plant ramping up and down its production

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Summary

Introduction

Hydropower is a valuable asset for any power system, as it is flexible and fast to regulate compared to thermal generation technologies. The methods presented in [1] and [18] consider a producer participating in day-ahead energy and spinning reserve capacity markets under uncertainty in inflow and market prices within modified stochastic dual dynamic programming (SDDP) frameworks Both methods ensure that enough water is stored in the reservoir to produce the allocated reserve capacity, activation is not directly. The model presented in this paper differs from the general energy storage models in the representation of realistic and large-scale cascaded hydropower systems To this end, note that short-term hydropower and hydrothermal scheduling is an active field of research, see for instance [25] and [12] for recent descriptions of state-of-the-art formulations.

Modelling
Deterministic day-ahead scheduling problem
The balancing problem
Mixed stochastic-robust problem
Case study
Sensitivity analysis of the budget of uncertainty in the robust model
Model comparison
Findings
Conclusion
Full Text
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