A stochastic programming approach using multiple uncertainty sets for AC robust transmission expansion planning

Alnowibet, Khalid Abdulaziz; El-Meligy, Mohammed A.

doi:10.1016/j.segan.2022.100648

Cited by 5 publications

(10 citation statements)

References 26 publications

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“…A coordinated GTEP considering WTs, ESSs, and demand response programs has been expressed in [38], in the presence of flexibility and reliability constraints. A hybrid robust and stochastic approach has been proposed to solve the TEP problem in [39], in which multiple uncertainty sets have been considered for managing the short-term uncertainties of the wind speed and load demand.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Stochastic formulation of the TEP/GTEP problem taking into account deployment of RESs/ESSs has been discussed in refs. [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][44][45][46][47]. In addition, refs.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Stochastic formulation of the TEP/GTEP problem taking into account deployment of RESs/ESSs has been discussed in refs. [21–39, 44–47]. In addition, refs.…”

Section: Introductionmentioning

confidence: 99%

“…It is worth mentioning that refs. [21–42] considered neither deployment of the EHs across the power system nor the correlation among the uncertainties. Although, refs.…”

Section: Introductionmentioning

confidence: 99%

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Stochastic expansion planning of transmission system and energy hubs in the presence of correlated uncertain variables

Allahvirdizadeh

Shayanfar

Moghaddam

2022

IET Generation Trans & Dist

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Energy hubs (EHs), with interconnecting different energy carriers, technologies, and sectors, improve energy efficiency and enhance the flexibility of energy management. EHs can be an alternative to the upgradation of the transmission system infrastructures. Then, it is necessary to evaluate accurately the impact of integrating EHs across the power system on the expansion planning of the transmission system. This paper proposes an expansion planning of the transmission system and integrated EHs across the power system in deterministic and stochastic environments. In addition, the correlation among the uncertain variables may affect the expansion planning and scheduling decisions as well as the resulting costs. Therefore, the stochastic modelling of the proposed planning approach is developed considering the correlation among the uncertain variables. The uncertainties related to the generation of the renewable energy sources (RESs), energy demands, and electrical/thermal/cooling/gas price are addressed with a stochastic scenario-based scheme. For this purpose, numerous scenarios are generated by implementing the well-known Monte Carlo simulation (MCS) technique. Then the Cholesky decomposition technique combined with Nataf transformation is used to make the samples correlated. Next, the k-means method as an efficient scheme of data clustering is used to reduce the initial scenarios to some limited ones.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

“…Stochastic formulation of the TEP/GTEP problem taking into account deployment of RESs/ESSs has been discussed in refs. [21–39, 44–47]. In addition, refs.…”

Section: Introductionmentioning

confidence: 99%

“…It is worth mentioning that refs. [21–42] considered neither deployment of the EHs across the power system nor the correlation among the uncertainties. Although, refs.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stochastic expansion planning of transmission system and energy hubs in the presence of correlated uncertain variables

Allahvirdizadeh

Shayanfar

Moghaddam

2022

IET Generation Trans & Dist

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“…Moreover, the uncertainties related to the load demand, as well as the RESs, have been incorporated into the model [18]. A hybrid method combining robust and stochastic approaches has been presented in [19] for handling the short‐term uncertainties of the wind generation and load demands in a TEP problem. A two‐stage robust approach has been discussed in [20] to reduce the computational effort in facing high dimensional uncertainties related to the RESs.…”

Section: Introductionmentioning

confidence: 99%

Stochastic multi‐stage joint expansion planning of transmission system and energy hubs in the presence of correlated uncertainties

Allahvirdizadeh

Galvani

Shayanfar

2023

IET Renewable Power Gen

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Deployment of Energy Hubs (EHs) across the power grid can alleviate the Transmission System (TS) capacity and substitute the conventional fossil fuel‐based thermal units. Therefore, this paper presents a tri‐level multi‐stage Joint Expansion Planning of the Transmission system and EHs (JEPT&EHs). In this approach, the Cholesky decomposition technique combined with the Nataf transformation is applied to make the uncertain input parameters correlated. Then, the k‐means data‐clustering method is employed to reduce the initial correlated samples. In the first level, the Transmission System Operator (TSO) optimizes the planning and scheduling strategies associated with the TS capacity requirements and operation costs of the conventional generators. In the second level, the financers specify the expansion of the EHs based on the Locational Marginal Prices (LMPs). In the third level, the Direct Current Optimal Power Flow (DCOPF) is determined to update the LMPs by the Independent System Operator (ISO). The optimization problem is an Equilibrium Problem with Equilibrium Constraints (EPEC) since there are multiple financers across the TS. The proposed model is implemented on the IEEE standard 30 bus TS to present the effectiveness of the EHs' deployment and the impact of the correlations in the total costs of the TSO and financers.

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Hermit Crab Shell Exchange Algorithm for Transmission Network Expansion Planning Problem

Rajoria,

Sharma

2024

Lecture Notes in Networks and Systems

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A stochastic programming approach using multiple uncertainty sets for AC robust transmission expansion planning

Cited by 5 publications

References 26 publications

Stochastic expansion planning of transmission system and energy hubs in the presence of correlated uncertain variables

Stochastic expansion planning of transmission system and energy hubs in the presence of correlated uncertain variables

Stochastic multi‐stage joint expansion planning of transmission system and energy hubs in the presence of correlated uncertainties

Hermit Crab Shell Exchange Algorithm for Transmission Network Expansion Planning Problem

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