Skip to main content
Top
Published in: Water Resources Management 11/2017

03-05-2017

Short-Term Hydrothermal Scheduling Using a Two-Stage Linear Programming with Special Ordered Sets Method

Authors: Chuanxiong Kang, Min Guo, Jinwen Wang

Published in: Water Resources Management | Issue 11/2017

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The short-term hydrothermal scheduling (SHS), typically a complicated nonlinear, nonconvex and non-smooth optimization problem, is very important for the economic operation of power systems. Instead of heuristic algorithms popularly used in previous studies, this paper employs a mathematical approach, where a two-stage linear programming with special ordered sets (TLPSOS) is proposed to solve the SHS problem. The nonlinear thermal cost functions and hydropower output functions are approximated by using the special ordered sets. The TLPSOS involves two stages: solve the linearized model in the first stage, and eliminate the linearization errors in the second. Superior to heuristic algorithms, the TLPSOS does not rely on parameters, and can always give stable results. Applied to a widely used hydrothermal system which consists of four hydroplants and three thermal plants, the present method shows its efficiency and strength in obtaining results better than those of previous studies.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Ahmadi A, Nezhad AE (2015) Comment on “Short-term combined economic emission scheduling of hydrothermal power systems with cascaded reservoirs using differential evolution” by K.K. Mandal and N. Chakaborty [Energy Convers. Manage. 50 (2009) 97–104]. Energy Convers Manag 93:452–455. doi:10.1016/j.enconman.2015.01.045 CrossRef Ahmadi A, Nezhad AE (2015) Comment on “Short-term combined economic emission scheduling of hydrothermal power systems with cascaded reservoirs using differential evolution” by K.K. Mandal and N. Chakaborty [Energy Convers. Manage. 50 (2009) 97–104]. Energy Convers Manag 93:452–455. doi:10.​1016/​j.​enconman.​2015.​01.​045 CrossRef
go back to reference Beale EML, Tomlin JA (1970) Special facilities in a general mathematical programming system for non-convex problems using ordered sets of variables. Math Methods Optim Beale EML, Tomlin JA (1970) Special facilities in a general mathematical programming system for non-convex problems using ordered sets of variables. Math Methods Optim
go back to reference Gacem A, Benattous D (2014) Hybrid genetic algorithm and particle swarm for optimal power flow with non-smooth fuel cost functions. Int J Syst Assur Eng Manag. doi:10.1007/s13198-014-0312-8 Gacem A, Benattous D (2014) Hybrid genetic algorithm and particle swarm for optimal power flow with non-smooth fuel cost functions. Int J Syst Assur Eng Manag. doi:10.​1007/​s13198-014-0312-8
go back to reference Haghrah A, Mohammadi-ivatloo B, Seyedmonir S (2015) Real coded genetic algorithm approach with random transfer vectors-based mutation for short-term hydro-thermal scheduling. IET Gener Transm Dis 9(1):75–89. doi:10.1049/iet-gtd.2014.0322 CrossRef Haghrah A, Mohammadi-ivatloo B, Seyedmonir S (2015) Real coded genetic algorithm approach with random transfer vectors-based mutation for short-term hydro-thermal scheduling. IET Gener Transm Dis 9(1):75–89. doi:10.​1049/​iet-gtd.​2014.​0322 CrossRef
go back to reference Lakshminarasimman L, Subramanian S (2006) Short-term scheduling of hydrothermal power system with cascaded reservoirs by using modified differential evolution. IEE Proc Gener Transm Distrib 153(6):693–700. doi:10.1049/ip-gtd:20050407 CrossRef Lakshminarasimman L, Subramanian S (2006) Short-term scheduling of hydrothermal power system with cascaded reservoirs by using modified differential evolution. IEE Proc Gener Transm Distrib 153(6):693–700. doi:10.​1049/​ip-gtd:​20050407 CrossRef
go back to reference Nezhad AE, Ahmadi A (2015) Comment on “an improved quantum-behaved particle swarm optimization method for short-term combined economic emission hydrothermal scheduling” by Songfeng Lu et al. [energy Convers. Manage. 51 (2010) 561–571]. Energy Convers Manag 96:646–648. doi:10.1016/j.enconman.2015.03.005 CrossRef Nezhad AE, Ahmadi A (2015) Comment on “an improved quantum-behaved particle swarm optimization method for short-term combined economic emission hydrothermal scheduling” by Songfeng Lu et al. [energy Convers. Manage. 51 (2010) 561–571]. Energy Convers Manag 96:646–648. doi:10.​1016/​j.​enconman.​2015.​03.​005 CrossRef
go back to reference Rasoulzadeh-akhijahani A, Mohammadi-ivatloo B (2015) Short-term hydrothermal generation scheduling by a modified dynamic neighborhood learning based particle swarm optimization. Int J Electr Power Energy Syst, 67, 350-367. doi: 10.1016/j.ijepes.2014.12.011 Rasoulzadeh-akhijahani A, Mohammadi-ivatloo B (2015) Short-term hydrothermal generation scheduling by a modified dynamic neighborhood learning based particle swarm optimization. Int J Electr Power Energy Syst, 67, 350-367. doi: 10.​1016/​j.​ijepes.​2014.​12.​011
Metadata
Title
Short-Term Hydrothermal Scheduling Using a Two-Stage Linear Programming with Special Ordered Sets Method
Authors
Chuanxiong Kang
Min Guo
Jinwen Wang
Publication date
03-05-2017
Publisher
Springer Netherlands
Published in
Water Resources Management / Issue 11/2017
Print ISSN: 0920-4741
Electronic ISSN: 1573-1650
DOI
https://doi.org/10.1007/s11269-017-1670-1

Other articles of this Issue 11/2017

Water Resources Management 11/2017 Go to the issue