scholarly journals A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints

Mathematics ◽  
2021 ◽  
Vol 9 (21) ◽  
pp. 2771
Author(s):  
Mohamed M. Refaat ◽  
Shady H. E. Abdel Aleem ◽  
Yousry Atia ◽  
Ziad M. Ali ◽  
Adel El-Shahat ◽  
...  
Keyword(s):  
Programming Model ◽  
Renewable Energy Sources ◽  
Optimization Algorithms ◽  
Mathematical Optimization ◽  
Mixed Integer ◽  
Fault Current ◽  
Expansion Planning ◽  
Transmission Expansion Planning ◽  
Transmission Expansion ◽  
Linearization Errors

Today, generation and transmission expansion planning (G&TEP) to meet potential load growth is restricted by reliability constraints and the presence of uncertainties. This study proposes the reliability constrained planning method for integrated renewable energy sources and transmission expansion considering fault current limiter (FCL) placement and sizing and N-1 security. Moreover, an approach for dealing with uncertain events is adopted. The proposed planning model translates into a mixed-integer non-linear programming model, which is complex and not easy to solve. The problem was formulated as a tri-level problem, and a hybridization framework between meta-heuristic and mathematical optimization algorithms was introduced to avoid linearization errors and simplify the solution. For this reason, three meta-heuristic techniques were tested. The proposed methodology was conducted on the Egyptian West Delta system. The numerical results demonstrated the efficiency of integrating G&TEP and FCL allocation issues in improving power system reliability. Furthermore, the effectiveness of the hybridization algorithm in solving the suggested problem was validated by comparison with other optimization algorithms.

Application of Differential Evolution Algorithm in Transmission Expansion Planning

2013 ◽  
Vol 394 ◽  
pp. 314-320
Author(s):  
Ibrahim Al Hamrouni ◽  
Azhar Khairuddin ◽  
M. Salem
Keyword(s):  
Differential Evolution ◽  
Heuristic Method ◽  
Differential Evolution Algorithm ◽  
Mathematical Optimization ◽  
Minimum Cost ◽  
Optimization Methods ◽  
Expansion Planning ◽  
Transmission Expansion Planning ◽  
Transmission Expansion ◽  
Evolution Algorithm

Transmission expansion planning has become a complicated procedure more than it was. The rapid growth of the transmission networks and the deregulation has introduced more objectives and uncertainties to the transmission network planners. As a result of that, new approach and criteria that can replace the old ones are needed for TEP problem. The main goal of this process is to locate the additional transmission lines that must be added to meet the forecasted load in the system adequately with minimum cost. There have been several methods applied for this purpose; mathematical optimization methods, heuristic and Meta heuristic methods. This paper reviews the use of Meta heuristic method by the means of differential evolution algorithm (DEA) to solve this multi objective optimization problem. In addition, some suggestions have been made by the author that can make the DEA more efficient and applicable in the real world networks.

scholarly journals Fault Current Constraint Transmission Expansion Planning Based on the Inverse Matrix Modification Lemma and a Valid Inequality

Energies ◽  
2019 ◽  
Vol 12 (24) ◽  
pp. 4769
Author(s):  
Sungwoo Lee ◽  
Hyoungtae Kim ◽  
Tae Hyun Kim ◽  
Hansol Shin ◽  
Wook Kim
Keyword(s):  
Current Level ◽  
Inverse Matrix ◽  
Valid Inequality ◽  
Fault Current ◽  
Impedance Matrix ◽  
Expansion Planning ◽  
Transmission Expansion Planning ◽  
Fault Currents ◽  
Transmission Expansion ◽  
Matrix Modification

In the transmission expansion planning (TEP) problem, it is challenging to consider a fault current level constraint due to the time-consuming update process of the bus impedance matrix, which is required to calculate the fault currents during the search for the optimal solution. In the existing studies, either a nonlinear update equation or its linearized version is used to calculate the updated bus impedance matrix. In the former case, there is a problem in that the mathematical formulation is derived in the form of mixed-integer nonlinear programming. In the latter case, there is a problem in that an error due to the linearization may exist and the change of fault currents in other buses that are not connected to the new transmission lines cannot be detected. In this paper, we use a method to obtain the exact updated bus impedance matrix directly from the inversion of the bus admittance matrix. We propose a novel method based on the inverse matrix modification lemma (IMML) and a valid inequality is proposed to find a better solution to the TEP problem with fault current level constraint. The proposed method is applied to the IEEE two-area reliability test system with 96 buses to verify the performance and effectiveness of the proposed method and we compare the results with the existing methods. Simulation results show that the existing TEP method based on impedance matrix modification method violates the fault current level constraint in some buses, while the proposed method satisfies the constraint in all buses in a reasonable computation time.

scholarly journals Analysis of Constraint-Handling in Metaheuristic Approaches for the Generation and Transmission Expansion Planning Problem with Renewable Energy

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-22 ◽  
Author(s):  
Lourdes Martínez-Villaseñor ◽  
Hiram Ponce ◽  
José Antonio Marmolejo-Saucedo ◽  
Juan Manuel Ramírez ◽  
Agustina Hernández
Keyword(s):  
Renewable Energy ◽  
Renewable Energy Sources ◽  
Stochastic Approach ◽  
Constraint Handling ◽  
Complex Case ◽  
Planning Problem ◽  
Electricity Grid ◽  
Expansion Planning ◽  
Transmission Expansion Planning ◽  
Transmission Expansion

A multiperiod generation and transmission expansion planning (G&TEP) problem is considered. This model integrates conventional generation with renewable energy sources, assuming a stochastic approach. The proposed approach is based on a centralized planned transmission expansion. Due to the worldwide recent energy guidelines, it is necessary to generate expansion plans adequate to the forecast demand over the next years. Nowadays, in most energy systems, a public entity develops both the short and long of electricity-grid expansion planning. Due to the complexity of the problem, there are different strategies to find expansion plans that satisfy the uncertainty conditions addressed. We proposed to address the G&TEP problem with a pure genetic algorithm approach. Different constraint-handling techniques were applied to deal with two complex case studies presented. Numerical results are shown to compare the strategies used in the test systems, and key factors such as a prior initialization of population and the estimated minimum number of generations are discussed.

Generation Expansion Planning with High Penetration of Wind Power

2016 ◽  
Vol 17 (4) ◽  
pp. 401-423 ◽  
Author(s):  
Ishan Sharan ◽  
R. Balasubramanian
Keyword(s):  
Wind Power ◽  
Mixed Integer ◽  
Planning Model ◽  
Generation Expansion Planning ◽  
Expansion Planning ◽  
Transmission Expansion Planning ◽  
Generation Expansion ◽  
Transmission Expansion ◽  
High Penetration ◽  
Operational Issues

Abstract Worldwide thrust is being provided in generation of electricity from wind. Planning for the developmental needs of wind based power has to be consistent with the objective and basic framework of overall resource planning. The operational issues associated with the integration of wind power must be addressed at the planning stage. Lack of co-ordinated planning of wind turbine generators, conventional generating units and expansion of the transmission system may lead to curtailment of wind power due to transmission inadequacy or operational constraints. This paper presents a generation expansion planning model taking into account fuel transportation and power transmission constraints, while addressing the operational issues associated with the high penetration of wind power. For analyzing the operational issues, security constrained unit commitment algorithm is embedded in the integrated generation and transmission expansion planning model. The integrated generation and transmission expansion planning problem has been formulated as a mixed integer linear problem involving both binary and continuous variables in GAMS. The model has been applied to the expansion planning of a real system to illustrate the proposed approach.

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