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Transmission Congestion Management Through LMP Difference Minimization: A Renewable Energy Placement Case Study

  • Research Article - Electrical Engineering
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Abstract

New generation units based on renewable energy resources (RER) are being installed in power systems more frequently. As one of the important tasks of system planners and/or independent system operators, they have to propose appropriate sites and sizes for new RER installation. In present work, a novel approach for determining the site and size of new RER is proposed for relieving congestion in transmission lines. This method is based on minimizing the differences among locational marginal prices considering N − 1 security criteria. For the case of wind farms (WF), the appropriate size and location of WF are determined considering the probabilistic nature of wind speed; the probability of wind generation output power is utilized in WF placement and sizing.

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Abbreviations

a i , b i , c i :

Cost function coefficients of generator i

c :

Scale factor

k :

Shape factor

n :

Number of buses

N g :

Number of generators

N L :

Number of lines

p d :

Load demand (MW)

p f :

Line flow (MW)

\({p_{\rm f}^{\rm min}, p_{\rm f}^{\rm max}}\) :

Limits on line flows (MW)

p g :

Active power generation (MW)

\({p_{\rm g}^{\rm min}, p_{\rm g}^{\rm max}}\) :

Limits on generator’s active power (MW)

p w :

Wind turbine output power (MW)

p wr :

Rated power of wind turbine (MW)

v :

Wind speed (m/s)

v in :

Cut-in wind speed (m/s)

v out :

Cut-out wind speed (m/s)

v r :

Rated wind speed (m/s)

η, γ :

Lagrange multipliers for inequality constraints

θ :

Voltage angle (rad.)

λ, α :

Lagrange multipliers for equality constraints

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Authors and Affiliations

  1. University of Tehran, Tehran, Iran

    Hamed Ahmadi & Hamid Lesani

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  1. Hamed Ahmadi
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  2. Hamid Lesani
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Correspondence to Hamed Ahmadi.

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Ahmadi, H., Lesani, H. Transmission Congestion Management Through LMP Difference Minimization: A Renewable Energy Placement Case Study. Arab J Sci Eng 39, 1963–1969 (2014). https://doi.org/10.1007/s13369-013-0744-5

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  • DOI: https://doi.org/10.1007/s13369-013-0744-5

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