Skip to main content

2014 | OriginalPaper | Buchkapitel

5. DC Optimal Power Flow Formulation Using the Power Transmission Distribution Factors—A DIgSILENT Programming Language Application

verfasst von : Víctor Hinojosa-Mateus, Leonardo Pérez-Andrades, Jovan Ilić

Erschienen in: PowerFactory Applications for Power System Analysis

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This research presents an application of different formulations to solve the DC optimal power flow problem. The classical DC optimization problem is reformulated using the power transmission distribution factors (PTDF). The main advantage of this formulation is the reduction of the decision variables in the optimization problem. In this chapter, the interior-point algorithm to solve the DC optimization problem is programmed using DIgSILENT Programming Language (DPL). In order to evaluate and compare the solution obtained by the algorithm, the simulations results are validated using MatPower. The proposed formulation has been implemented and validated with different test power systems. The results of the proposed algorithm demonstrate both the feasibility of applying the methodology to the DC optimal power flow problem and the potential applicability of the approach in medium- and large-scale power systems. The simulations performed in this chapter validate the formulation proposed in this study to solve the DCOPF problem. Finally, this application adds a new dimension to the DIgSILENT Power Factory by allowing the creation of new optimization algorithms to solve operation and planning problems.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

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"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Carpentier J (1962) Contribution a l’Etude du dispatching Economique. Bull Soc Fr Electr 8:431–447 Carpentier J (1962) Contribution a l’Etude du dispatching Economique. Bull Soc Fr Electr 8:431–447
2.
Zurück zum Zitat Mohapatra A, Bijwe PR, Panigrahi BK (2013) Optimal power flow with multiple data uncertainties. Electr Power Syst Res 95:160–167CrossRef Mohapatra A, Bijwe PR, Panigrahi BK (2013) Optimal power flow with multiple data uncertainties. Electr Power Syst Res 95:160–167CrossRef
3.
Zurück zum Zitat Khorsandi A, Hosseinian SH, Ghazanfari A (2013) Modified artificial bee colony algorithm based on fuzzy multi-objective technique for optimal power flow problem. Electr Power Syst Res 95:206–213CrossRef Khorsandi A, Hosseinian SH, Ghazanfari A (2013) Modified artificial bee colony algorithm based on fuzzy multi-objective technique for optimal power flow problem. Electr Power Syst Res 95:206–213CrossRef
4.
Zurück zum Zitat Hinojosa VH, Araya R (2013) Modeling a mixed-integer-binary small population evolutionary particle swarm algorithm for solving the optimal power flow problem in electric power systems. Appl Soft Comput 13:3839–3852CrossRef Hinojosa VH, Araya R (2013) Modeling a mixed-integer-binary small population evolutionary particle swarm algorithm for solving the optimal power flow problem in electric power systems. Appl Soft Comput 13:3839–3852CrossRef
5.
Zurück zum Zitat Momoh J, Adapa R, El-Hawary M (1993) A review of selected optimal power flow literature to 1993 i. nonlinear and quadratic programming approaches. IEEE Trans Power Syst 14:96–104CrossRef Momoh J, Adapa R, El-Hawary M (1993) A review of selected optimal power flow literature to 1993 i. nonlinear and quadratic programming approaches. IEEE Trans Power Syst 14:96–104CrossRef
6.
Zurück zum Zitat Pizano A, Fuerte CR, Ruiz D (2011) A new practical approach to transient stability-constrained optimal power flow. IEEE Trans Power Syst 26(3):1686–1696CrossRef Pizano A, Fuerte CR, Ruiz D (2011) A new practical approach to transient stability-constrained optimal power flow. IEEE Trans Power Syst 26(3):1686–1696CrossRef
7.
Zurück zum Zitat Momoh JA, Koessler RJ, Bond MS, Stott B, Sun D, Papalexopoulos AD, Ristanovic P (1997) Challenges to optimal power flow. IEEE Trans Power Syst 12(1):444–455CrossRef Momoh JA, Koessler RJ, Bond MS, Stott B, Sun D, Papalexopoulos AD, Ristanovic P (1997) Challenges to optimal power flow. IEEE Trans Power Syst 12(1):444–455CrossRef
8.
Zurück zum Zitat Torelli F, Vaccaro A, Xie N (2013) A novel optimal power flow formulation based on the Lyanupunov theory. IEEE Trans Power Syst 28(4):4405–4415CrossRef Torelli F, Vaccaro A, Xie N (2013) A novel optimal power flow formulation based on the Lyanupunov theory. IEEE Trans Power Syst 28(4):4405–4415CrossRef
9.
Zurück zum Zitat Cain MB, O’Neill P, Castillo A (2012) History of optimal power flow and formulations. FERC staff technical paper, Dec 2012 Cain MB, O’Neill P, Castillo A (2012) History of optimal power flow and formulations. FERC staff technical paper, Dec 2012
10.
Zurück zum Zitat Wood AJ, Wollenberg BF (1996) Power generation, operation and control. Wiley, New York Wood AJ, Wollenberg BF (1996) Power generation, operation and control. Wiley, New York
11.
Zurück zum Zitat Fotuhi-Firuzabad M, Billinton R, Khan ME (1999) Extending unit commitment health analysis to include transmission considerations. Electr Power Syst Res 50(1):35–42CrossRef Fotuhi-Firuzabad M, Billinton R, Khan ME (1999) Extending unit commitment health analysis to include transmission considerations. Electr Power Syst Res 50(1):35–42CrossRef
12.
Zurück zum Zitat Lee FN, Huang J, Adapa R (1994) Multi-area unit commitment via sequential method and a dc power flow network model. IEEE Trans Power Syst 9(1):279–287CrossRef Lee FN, Huang J, Adapa R (1994) Multi-area unit commitment via sequential method and a dc power flow network model. IEEE Trans Power Syst 9(1):279–287CrossRef
13.
Zurück zum Zitat Yu J, Yan W, Li W, Wen L (2008) Quadratic models of AC-DC power flow and optimal reactive power flow with HVDC and UPFC controls. Electr Power Syst Res 78(3):302–310CrossRef Yu J, Yan W, Li W, Wen L (2008) Quadratic models of AC-DC power flow and optimal reactive power flow with HVDC and UPFC controls. Electr Power Syst Res 78(3):302–310CrossRef
14.
Zurück zum Zitat Biskas PN, Bakirtzis AG, Macheras NI, Pasialis NK (2005) A decentralized implementation of dc optimal power flow on a network computers. IEEE Trans Power Syst 20(1):25–33CrossRef Biskas PN, Bakirtzis AG, Macheras NI, Pasialis NK (2005) A decentralized implementation of dc optimal power flow on a network computers. IEEE Trans Power Syst 20(1):25–33CrossRef
15.
Zurück zum Zitat Amjady N, Sharifzadeh H (2011) Security constrained optimal power flow considering detailed generator model by a new robust differential evolution algorithm. Electr Power Syst Res 81(2):740–749CrossRef Amjady N, Sharifzadeh H (2011) Security constrained optimal power flow considering detailed generator model by a new robust differential evolution algorithm. Electr Power Syst Res 81(2):740–749CrossRef
16.
Zurück zum Zitat Ardakani AJ, Bouffard F (2013) Identification of umbrella constraints in dc-based security-constrained optimal power flow. IEEE Trans Power Syst 28(4):3924–3934CrossRef Ardakani AJ, Bouffard F (2013) Identification of umbrella constraints in dc-based security-constrained optimal power flow. IEEE Trans Power Syst 28(4):3924–3934CrossRef
17.
Zurück zum Zitat Lei X, Lerch E, Xie CY (2002) Frequency security constrained short-term unit commitment. Electr Power Syst Res 60(3):193–200CrossRef Lei X, Lerch E, Xie CY (2002) Frequency security constrained short-term unit commitment. Electr Power Syst Res 60(3):193–200CrossRef
18.
Zurück zum Zitat Kalantari A, Restrepo JF, Galiana FD (2013) Security-constrained unit commitment with uncertain wind generation: the loadability set approach. IEEE Trans Power Syst 28(2):1787–1796CrossRef Kalantari A, Restrepo JF, Galiana FD (2013) Security-constrained unit commitment with uncertain wind generation: the loadability set approach. IEEE Trans Power Syst 28(2):1787–1796CrossRef
19.
Zurück zum Zitat Tohidi Y, Aminifar F, Fotuhi-Firuzabad M (2013) Generation expansion and retirement planning based on the stochastic programming. Electr Power Syst Res 104:138–145CrossRef Tohidi Y, Aminifar F, Fotuhi-Firuzabad M (2013) Generation expansion and retirement planning based on the stochastic programming. Electr Power Syst Res 104:138–145CrossRef
20.
Zurück zum Zitat Dehghan S, Amjady N, Kazemi A (2014) Two-stage robust generation expansion planning: a mixed integer linear programming model. IEEE Trans Power Syst 29(2):584–597CrossRef Dehghan S, Amjady N, Kazemi A (2014) Two-stage robust generation expansion planning: a mixed integer linear programming model. IEEE Trans Power Syst 29(2):584–597CrossRef
21.
Zurück zum Zitat Vinasco G, Tejada D, Silva EFD, Rider MJ (2014) Transmission network expansion planning for the colombian electrical system: Connecting the Ituango hydroelectric power plant. Electr Power Syst Res 110:94–103CrossRef Vinasco G, Tejada D, Silva EFD, Rider MJ (2014) Transmission network expansion planning for the colombian electrical system: Connecting the Ituango hydroelectric power plant. Electr Power Syst Res 110:94–103CrossRef
22.
Zurück zum Zitat Hesamzadeh MR, Yazdani M (2014) Transmission capacity expansion in imperfectly competitive power markets. IEEE Trans Power Syst 29(1):62–71CrossRef Hesamzadeh MR, Yazdani M (2014) Transmission capacity expansion in imperfectly competitive power markets. IEEE Trans Power Syst 29(1):62–71CrossRef
23.
Zurück zum Zitat Hinojosa VH, Galleguillos N, Nuques B (2013) A simulated rebounding algorithm applied to the multi-stage security-constrained transmission expansion planning in power systems. Int J Elect Power Energy Syst 47:168–180CrossRef Hinojosa VH, Galleguillos N, Nuques B (2013) A simulated rebounding algorithm applied to the multi-stage security-constrained transmission expansion planning in power systems. Int J Elect Power Energy Syst 47:168–180CrossRef
24.
Zurück zum Zitat Khodaei A, Shahidehpour M (2013) Microgrid-based co-optimization of generation and transmission planning in power systems. IEEE Trans Power Syst 28(2):1582–1590CrossRef Khodaei A, Shahidehpour M (2013) Microgrid-based co-optimization of generation and transmission planning in power systems. IEEE Trans Power Syst 28(2):1582–1590CrossRef
25.
Zurück zum Zitat Dommel H, Tinny W (1968) Optimal power flow solutions. IEEE Trans Power Appar Syst PAS-87(10):1866–1876 Dommel H, Tinny W (1968) Optimal power flow solutions. IEEE Trans Power Appar Syst PAS-87(10):1866–1876
27.
Zurück zum Zitat Karmankar N (1984) A new polynomial-time algorithm for linear programming. Combinatoria 4(8):373–395CrossRef Karmankar N (1984) A new polynomial-time algorithm for linear programming. Combinatoria 4(8):373–395CrossRef
28.
Zurück zum Zitat Astfalk G, Lustig I, Marsten R, Shanno D (1992) The interior-point method for linear programming. IEEE Softw 9(4):61–68CrossRef Astfalk G, Lustig I, Marsten R, Shanno D (1992) The interior-point method for linear programming. IEEE Softw 9(4):61–68CrossRef
29.
Zurück zum Zitat Zimmerman RD, Murillo-Sanchez CE, Thomas RJ (2011) Matpower: steady-state operations, planning, and analysis tools for power systems research and education. IEEE Trans Power Syst 26:12–19CrossRef Zimmerman RD, Murillo-Sanchez CE, Thomas RJ (2011) Matpower: steady-state operations, planning, and analysis tools for power systems research and education. IEEE Trans Power Syst 26:12–19CrossRef
31.
Zurück zum Zitat Hinojosa VH, Moreno A (2008) Optimal power flow solution using evolutionary algorithms—a DigSILENT application. In: Proceedings of Ecuacier—XXII power systems conference, Ecuador, 2008 (in Spanish) Hinojosa VH, Moreno A (2008) Optimal power flow solution using evolutionary algorithms—a DigSILENT application. In: Proceedings of Ecuacier—XXII power systems conference, Ecuador, 2008 (in Spanish)
32.
Zurück zum Zitat Dommel H, Tinny W (1968) Optimal power flow solutions. IEEE Trans Power Appar Syst PAS-87:1866–1876 Dommel H, Tinny W (1968) Optimal power flow solutions. IEEE Trans Power Appar Syst PAS-87:1866–1876
33.
Zurück zum Zitat DigSILENT power factory (2010) Power factory user’s manual—version 14.0, DigSILENT GmbH, 2010 DigSILENT power factory (2010) Power factory user’s manual—version 14.0, DigSILENT GmbH, 2010
Metadaten
Titel
DC Optimal Power Flow Formulation Using the Power Transmission Distribution Factors—A DIgSILENT Programming Language Application
verfasst von
Víctor Hinojosa-Mateus
Leonardo Pérez-Andrades
Jovan Ilić
Copyright-Jahr
2014
DOI
https://doi.org/10.1007/978-3-319-12958-7_5