Approximated MILP model for AC transmission expansion planning: global solutions versus local solutions

Akbari, Tohid; Bina, Mohammad Tavakoli

doi:10.1049/iet-gtd.2015.0723

Cited by 40 publications

(28 citation statements)

References 45 publications

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“…Therefore, to have a MILP model, the linearized AC power flow is utilized. Assuming that the difference between voltage angles of busses i and j which are connected by line ij is small enough and voltage magnitudes are about 1 pu, the bus voltage magnitude can be written as follows:

V_{id} = 1 + Δ V_{id}

where Δ V id is expected to be small. Plugging into and and neglecting higher order terms, the active and reactive power flow equations are derived as follows:

P_{ijd} \approx ((), 1 + 2 Δ V_{id}) G_{ij} - ((), 1 + Δ V_{id} + Δ V_{jd}) ((), G_{ij} + B_{ij} . θ_{ijd})

Q_{ij} \approx - ((), 1 + 2 Δ V_{id}) B_{ij} + ((), 1 + Δ V_{id} + Δ V_{jd}) ((), B_{ij} + G_{ij} . θ_{ijd})

…”

Section: Ufls Designmentioning

confidence: 99%

Section: Linearized Ac Power Flowmentioning

confidence: 99%

“…where ΔV id is expected to be small. Plugging (43) into (33) and (34) and neglecting higher order terms, the active and reactive power flow equations are derived as follows:…”

Section: Linearized Ac Power Flowmentioning

confidence: 99%

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Multiobjective optimal setting for UFLS relays considering voltage deviation

Alizadeh

Jafari‐Nokandi

Amraee

2018

Int Trans Electr Energ Syst

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Summary The postdisturbance power imbalance causes the power system frequency to drop. For preventing the frequency drop below the safe range, under frequency load shedding (UFLS) plan should be used by applying UFLS relays. In this paper, the conventional multistage UFLS plan is promoted via a linearized AC power flow model. A multiobjective mixed‐integer linear program is solved in order to minimize the load shedding amount and voltage deviation simultaneously. The proposed method simultaneously benefits from individual UFLS and under voltage LS (UVLS) features which may operate in the power system without coordination. The proposed method has been implemented in IEEE 39‐bus test system, and the results are presented under different scenarios. The results show that the proposed model for locating UFLS relays and their optimal setting can maintain both the system frequency and bus voltages in the secure operating limits.

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V_{id} = 1 + Δ V_{id}

where Δ V id is expected to be small. Plugging into and and neglecting higher order terms, the active and reactive power flow equations are derived as follows:

P_{ijd} \approx ((), 1 + 2 Δ V_{id}) G_{ij} - ((), 1 + Δ V_{id} + Δ V_{jd}) ((), G_{ij} + B_{ij} . θ_{ijd})

Q_{ij} \approx - ((), 1 + 2 Δ V_{id}) B_{ij} + ((), 1 + Δ V_{id} + Δ V_{jd}) ((), B_{ij} + G_{ij} . θ_{ijd})

…”

Section: Ufls Designmentioning

confidence: 99%

Section: Linearized Ac Power Flowmentioning

confidence: 99%

See 1 more Smart Citation

Multiobjective optimal setting for UFLS relays considering voltage deviation

Alizadeh

Jafari‐Nokandi

Amraee

2018

Int Trans Electr Energ Syst

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“…The proposed method, due to its simplicity, has substantial potential to be used in future power system planning studies. Also, approximated mixed-integer linear programming (MILP) models are used for ACTNEP in [22], [23] and [24]. Authors in these references propose a midway approach between a full AC model and an oversimplified DC model, with results nearer to that obtained with full ACPF modelling.…”

Section: Introductionmentioning

confidence: 99%

“…Authors in these references propose a midway approach between a full AC model and an oversimplified DC model, with results nearer to that obtained with full ACPF modelling. One of the drawbacks reported in [23] is the increase in the number of variables with increase in system size. In [24], simultaneous solution of ACTNEP with RPP is presented under various levels of load and wind generations.…”

Section: Introductionmentioning

confidence: 99%

Security constrained AC transmission network expansion planning

Das

Verma

Bijwe

2019

Electric Power Systems Research

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Modern transmission network expansion planning (TNEP) is carried out with AC network model, which is able to handle voltage and voltage stability constraints. However, such a model requires optimization with iterative AC power flow model, which is computationally so demanding that most of the researchers have ignored the vital (N-1) security constraints. Therefore, the objective of this research work is to develop an efficient, two stage optimization strategy for solving this problem. In the first stage, a DC expansion planning problem is solved which provides an initial guess as well as some very good heuristics to reduce the number of power flow solutions for the second stage of AC transmission and reactive expansion planning. A modified artificial bee colony (MABC) algorithm is used to solve the resulting optimization problem. Static AC TNEP results for Garver 6 bus, IEEE 24 bus and IEEE 118 bus test systems have been obtained with the proposed and rigorous approaches and wherever possible, compared with similar results reported in literature to demonstrate the benefits of the proposed method. Also, multi-stage dynamic AC TNEP for the Garver 6 bus system is solved to show the applicability of the methodology to such problems.

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Networked Microgrids Energy Management Under High Renewable Penetration

2022

Smart Energy for Transportation and Health in a Smart City

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Approximated MILP model for AC transmission expansion planning: global solutions versus local solutions

Cited by 40 publications

References 45 publications

Multiobjective optimal setting for UFLS relays considering voltage deviation

Multiobjective optimal setting for UFLS relays considering voltage deviation

Security constrained AC transmission network expansion planning

Networked Microgrids Energy Management Under High Renewable Penetration

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