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Stochastic transmission expansion planning in the presence of wind farms considering reliability and N-1 contingency using grey wolf optimization technique

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Abstract

In this paper, a stochastic transmission expansion planning (TEP) in the presence of wind farms under uncertain load and wind source conditions when reliability and N-1 contingency is taken into consideration is proposed. The main aim of the suggested TEP is to minimize the total planning cost while satisfying techno-economic constraints. In this paper, reliability cost is also incorporated as the loss of load cost (LOLC) into the objective function in addition to the investment cost. In order to provide more accurate and real results, the N-1 contingency is also considered as a constraint in the TEP problem. Uncertainties for the wind source and loads in the TEP problem are modeled using a scenario-based approach and Monte Carlo simulation. Grey wolf optimization (GWO) is applied to solve the TEP problem, and it is compared to other optimization techniques. The simulation results are provided in various scenarios to confirm the efficiency of the suggested stochastic TEP.

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Source: uncertainty

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Abbreviations

nmax :

Maximum number of lines in each branch

COCL:

Cost of construction lines

PD :

Active power demand

QD :

Reactive power demand

PGmax :

Maximum amount of active power

QGmax :

Maximum amount of reactive power

Vmax :

Maximum allowable voltage range

Vmin :

Minimum allowable voltage range

Smax :

Maximum allowable apparent power range

lolc:

Loss of load cost

pdf:

Probability density function

Pso:

Particle swarm optimization

sfla:

Shuffled frog leaping algorithm

TEP:

Transmission expansion planning

OF:

Objective function

\({\sigma}\) :

Standard deviation of probability density function

Prate :

Nominal value of wind turbine output power

α:

Scale parameter of the probability distribution function of Weibull

Ns:

Scenario set

N:

Vector of installed lines

N0 :

Matrix of allowable lines

PG :

Amount of produced active power

QG :

Amount of produced reactive power

V:

Voltage range

\(\theta \) :

Voltage angle

PGmin :

Minimum amount of active power

QGmin :

Minimum amount of reactive power

Sfrom :

Input apparent power to each branch

Sto :

Output apparent power from each branch

LOL:

Loss of load

OPF:

Optimal power flow

CDF:

Collective distribution function

GA:

Genetic algorithm

GWO:

Grey wolf optimization

α:

Penalty for cutting off the load

µ:

Average value of probability density function

Ω1 :

Set of buses with load

Ω:

Set of corridors

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Authors and Affiliations

  1. Department of Electrical Engineering, Faculty of Engineering, Arak University, 38156-8-8349, Arak, Iran

    Ali Asghar Ghadimi, Mohammad Amani, Mohammad Bayat & Saeid Ahmadi

  2. Department of Electrical Engineering, Tafresh University, 39518-79611, Tafresh, Iran

    Mohammad Reza Miveh

  3. Department of Electrical Engineering, University of Jaen, 23700, Linares, Spain

    Francisco Jurado

Authors
  1. Ali Asghar Ghadimi
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  2. Mohammad Amani
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  3. Mohammad Bayat
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  4. Saeid Ahmadi
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  5. Mohammad Reza Miveh
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  6. Francisco Jurado
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Correspondence to Francisco Jurado.

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Ghadimi, A.A., Amani, M., Bayat, M. et al. Stochastic transmission expansion planning in the presence of wind farms considering reliability and N-1 contingency using grey wolf optimization technique. Electr Eng 104, 727–740 (2022). https://doi.org/10.1007/s00202-021-01339-w

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