Short‐circuit‐constrained transmission expansion planning with bus splitting flexibility

Gharibpour, Hassan; Aminifar, Farrokh; Bashi, Mazaher Haji

doi:10.1049/iet-gtd.2017.0615

Cited by 22 publications

(17 citation statements)

References 32 publications

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“…in year t. In the existing study, the following update equation is used to calculate each element of the bus impedance matrix after the transmission lines are added [7,8]:…”

Section: Conventional Methods For the Bus Impedance Updatementioning

confidence: 99%

“…In order to improve the computational speed in the process of applying the above equations, the existing studies [7,8] assume that the off-diagonal elements of the bus impedance matrix are negligibly smaller than the diagonal elements ( Z old i,j Z old i,i ), and the diagonal elements of the bus impedance matrix before the update are significantly smaller than the impedance of the new transmission lines that will be connected to the buses ( Z old…”

Section: Conventional Methods For the Bus Impedance Updatementioning

confidence: 99%

“…The first is that the commercially available circuit breaker has a sufficient breaking capability margin, compared to the fault current possible in the system, and the second is that the computational burden has been too large to account for the fault current in the TEP problem. There is limited research on the fault current in the TEP problem [5][6][7][8]. The most important feature of these studies is summarizing how to reduce the calculation burden due to updating the system matrix (the bus impedance matrix), which is essential for calculation of the fault current.…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, methods based on Benders decomposition must solve the problem repeatedly until infeasible cases do not occur, and hence, the number of iterations required to find the optimal solution increases exponentially as the number of candidates for the new transmission line increases [6]. In the linear approximation method, even though the method can find the solution in a relatively short period of time, there is a disadvantage in that the calculation result of the fault current may differ significantly from the actual value due to the model error brought about by the linearization process [7,8]. As a result, most of the existing methods have a problem in that the calculation time is too slow or the accuracy is too limited to be applied to an actual large-scale power system.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Lee¹,

Kim²,

Kim

et al. 2019

Energies

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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.

show abstract

“…in year t. In the existing study, the following update equation is used to calculate each element of the bus impedance matrix after the transmission lines are added [7,8]:…”

Section: Conventional Methods For the Bus Impedance Updatementioning

confidence: 99%

Section: Conventional Methods For the Bus Impedance Updatementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Lee¹,

Kim²,

Kim

et al. 2019

Energies

View full text Add to dashboard Cite

show abstract

“…So, the expansion decisions are here‐and‐now decisions since they do not depend on any scenario realisation [29]. Equation (11) shows that for given time period t, if the characteristics of two scenarios Se and

S e^{'}

are indiscernible from each other for time interval 1 to t , then the generation expansion plans of these two scenarios for time period t should also be exactly same

U_{t, s e, i} = U_{t, s e^{'}, i} normal∀ S e, normal∀ S e^{'} \in W ()(, S e, t), normal∀ t \in T

Equation (12) shows that once a generating unit is installed, the corresponding decision variable should take 1 [30]. This means that the generating unit cannot be removed after installation

Z_{t - 1, i} \leq Z_{t, i} normal∀ i \in A 1, A 2, normal∀ t \in T

…”

Section: Model Formulationmentioning

confidence: 99%

Resource adequacy in interdependent electricity markets undergoing heterogeneous expansion in renewable energy

Mozdawar

Foroud

Amirahmadi

2019

IET Generation, Transmission & Distribution

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Techno-economic based static and dynamic transmission network expansion planning using improved binary bat algorithm

Mouwafi

El‐Ela

El‐Sehiemy

et al. 2022

Alexandria Engineering Journal

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Short‐circuit‐constrained transmission expansion planning with bus splitting flexibility

Cited by 22 publications

References 32 publications

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

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

Resource adequacy in interdependent electricity markets undergoing heterogeneous expansion in renewable energy

Techno-economic based static and dynamic transmission network expansion planning using improved binary bat algorithm

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