Cristin-resultat-ID: 1727605
Sist endret: 13. februar 2021, 13:00
NVI-rapporteringsår: 2019
Resultat
Vitenskapelig artikkel
2019

Dynamic incorporation of nonlinearity into MILP formulation for short-term hydro scheduling

Bidragsytere:
  • Hans Ivar Skjelbred
  • Jiehong Kong og
  • Olav B Fosso

Tidsskrift

International Journal of Electrical Power & Energy Systems
ISSN 0142-0615
e-ISSN 1879-3517
NVI-nivå 1

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2019
Publisert online: 2019
Trykket: 2020
Volum: 116
Sider: 1 - 17
Artikkelnummer: 105530
Open Access

Importkilder

Scopus-ID: 2-s2.0-85072229478

Beskrivelse Beskrivelse

Tittel

Dynamic incorporation of nonlinearity into MILP formulation for short-term hydro scheduling

Sammendrag

Optimization tools are widely used for solving the short-term hydro scheduling (STHS) problem in a cascaded hydro system. In a mixed integer linear programming (MILP)-based formulation, the nonlinear and non-convex hydropower production function (HPF) is represented by piecewise linear approximation. However, instead of using a set of predefined curves with static breakpoints or a preprocessing phase to define the complete relationship between the power output, the net head, and the water discharge, this paper proposes a novel method in which the breakpoints in the linearization are determined dynamically, taking into account the time-varying head effect, intake loss, penstock loss, tailrace loss, and head-dependent turbine efficiency. Only one binary variable is needed to indicate the on/off status and power generation of a unit per period. Furthermore, there are few studies available on how to represent the HPF precisely for the hydraulic system where penstocks are shared by multiple generating units. In this paper, we investigate three heuristics to explicitly incorporate the nonlinear and state-dependent power loss in shared penstocks into the STHS problem. The method and heuristics have been implemented in an operational STHS tool used by many hydropower producers in Nordic countries. We use a simple hydro system to illustrate the method and heuristics and a real hydro system in Northern Norway to study calculation efficiency and solution quality. The numerical results indicate that the proposed method can precisely represent the head-dependent and nonlinear operating characteristics of the generating units. The accurate modeling of a system with multi-level shared penstock configurations is crucial for obtaining the optimal unit commitment. The heuristics can effectively handle the power loss in shared penstock in various operating conditions. © 2019 Elsevier Ltd

Bidragsytere

Hans Ivar Skjelbred

  • Tilknyttet:
    Forfatter
    ved Energisystemer ved SINTEF Energi AS

Jiehong Kong

  • Tilknyttet:
    Forfatter
    ved Energisystemer ved SINTEF Energi AS
Aktiv cristin-person

Olav Bjarte Fosso

Bidragsyterens navn vises på dette resultatet som Olav B Fosso
  • Tilknyttet:
    Forfatter
    ved Institutt for elektrisk energi ved Norges teknisk-naturvitenskapelige universitet
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