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Modeling and investigation of harmonic losses in optimal power flow and power system locational marginal pricing

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  • Norouzi, Hadi
  • Abedi, Sajjad
  • Jamalzadeh, Reza
  • Rad, Milad Ghiasi
  • Hosseinian, Seyed Hossein

Abstract

The locational marginal pricing (LMP) methodology is a well-known strategy in electricity market transactions. In this structure, the active losses and transmission congestion are the key factors discriminating the nodal prices. To generate correct economic signals by LMPs, a realistic modeling of power system is required. Generally, power system and loads are assumed to be linear and the resultant conducting losses are modeled considering pure sinusoidal waveforms of currents and voltages. However, most real power systems may be polluted with some orders of harmonic frequencies due to the presence of nonlinearities. Although the magnitudes of harmonics relative to power frequency variables may be considered negligible, the present paper reveals that these harmonics, even below the standard levels, have considerable effects on the overall value of energy trades, and particularly on nodal prices and Financial Transmission Rights (FTRs). As the study objective, a new model is developed to allocate the harmonic losses in the Optimal Power Flow (OPF) and LMP problems. To assess the LMP and FTR variations with respect to harmonic status, the proposed concept is illustrated with 6-bus and 24-bus test systems. The changes made by consideration of harmonic losses show increasing gap between total generation revenue and consumption cost and therefore, expansion in transmission side revenue.

Suggested Citation

  • Norouzi, Hadi & Abedi, Sajjad & Jamalzadeh, Reza & Rad, Milad Ghiasi & Hosseinian, Seyed Hossein, 2014. "Modeling and investigation of harmonic losses in optimal power flow and power system locational marginal pricing," Energy, Elsevier, vol. 68(C), pages 140-147.
    • Handle: RePEc:eee:energy:v:68:y:2014:i:c:p:140-147
    DOI: 10.1016/j.energy.2014.02.010
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    References listed on IDEAS

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    1. Rogers, Michelle M. & Wang, Yang & Wang, Caisheng & McElmurry, Shawn P. & Miller, Carol J., 2013. "Evaluation of a rapid LMP-based approach for calculating marginal unit emissions," Applied Energy, Elsevier, vol. 111(C), pages 812-820.
    2. Liu, Leslie & Zobian, Assef, 2002. "The Importance of Marginal Loss Pricing in an RTO Environment," The Electricity Journal, Elsevier, vol. 15(8), pages 40-45, October.
    3. Sajjad Abedi & Gholam Riahy & Seyed Hossein Hosseinian & Mehdi Farhadkhani, 2013. "Improved Stochastic Modeling: An Essential Tool for Power System Scheduling in the Presence of Uncertain Renewables," Chapters, in: Hasan Arman & Ibrahim Yuksel (ed.), New Developments in Renewable Energy, IntechOpen.
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    Cited by:

    1. Choudhuri, Saha & Shi, Jian, 2017. "Study of the Industrial Precision Manufacturing and Metallic Alloys with Respect to Economic Considerations," MPRA Paper 77481, University Library of Munich, Germany.
    2. Wang, Yi & Yang, Zhifang & Yu, Juan & Fang, Xinxin, 2020. "Revisit the electricity price formulation: A formal definition, proofs, and examples," Energy, Elsevier, vol. 200(C).
    3. Naderipour, Amirreza & Abdul-Malek, Zulkurnain & Heidari Gandoman, Foad & Nowdeh, Saber Arabi & Shiran, Mohsen Aghazadeh & Hadidian Moghaddam, Mohammad Jafar & Davoodkhani, Iraj Faraji, 2020. "Optimal designing of static var compensator to improve voltage profile of power system using fuzzy logic control," Energy, Elsevier, vol. 192(C).
    4. Azad-Farsani, Ehsan, 2017. "Loss minimization in distribution systems based on LMP calculation using honey bee mating optimization and point estimate method," Energy, Elsevier, vol. 140(P1), pages 1-9.
    5. Ghasemi, Mojtaba & Ghavidel, Sahand & Akbari, Ebrahim & Vahed, Ali Azizi, 2014. "Solving non-linear, non-smooth and non-convex optimal power flow problems using chaotic invasive weed optimization algorithms based on chaos," Energy, Elsevier, vol. 73(C), pages 340-353.
    6. Ghasemi, Mojtaba & Ghavidel, Sahand & Ghanbarian, Mohammad Mehdi & Gharibzadeh, Masihallah & Azizi Vahed, Ali, 2014. "Multi-objective optimal power flow considering the cost, emission, voltage deviation and power losses using multi-objective modified imperialist competitive algorithm," Energy, Elsevier, vol. 78(C), pages 276-289.
    7. Milad Ghaisi & Milad Rahmani & Pedram Gharghabi & Ali Zoghi & Seyed Hossein Hosseinian, 2017. "Scheduling a Wind Hydro-Pumped-Storage Unit Considering the Economical Optimization," Post-Print hal-01478231, HAL.

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