An optimal power flow based on safety barrier interior point method

Oliveira, Edimar J. de; Oliveira, Leonardo W. de; Pereira, J.L.R.; Honório, Leonardo de Mello; Silva, Ivo Chaves da; Marcato, André L. M.

doi:10.1016/j.ijepes.2014.08.015

Cited by 52 publications

(22 citation statements)

References 25 publications

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“…The response of the optimization problem is calculated based on the system variables which comprises all the voltages at each bus of the system and the outputs of the DGs. The proposed formulation is solved by interior point methodology according to reference (Oliveira et al, 2015) in which the safety barrier interior point method is presented.…”

Section: = (mentioning

confidence: 99%

Maximum Hosting Capacity of Distributed Generation in Three-Phase Distribution Systems: An Approach Based on an Optimization Model / Máxima Capacidade De Hospedagem De Geração Distribuída Em Sistemas De Distribuição Trifásicos: Uma Abordagem Baseada Em Um Modelo De Otimização

Melo

Junior

Oliveira

2021

BJD

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In this paper, an optimization problem is formulated with the main purpose of determining the maximum hosting capacity of distributed generation in three-phase electric power distribution systems. The objective function to be maximized is the sum of the active powers injected into the system buses in which distributed generation is considered. Inequality constraints are used to determine lower and upper bounds for voltage magnitudes, unbalance factor, reverse power flow at the substation bus and active power insertion. Power flow equations are modelled as equality constraints according to the three-phase current injection method. Simulations are performed using a modified IEEE 33-bus to show the effectiveness of the proposed methodology for determining the maximum hosting capacity in three-phase distribution feeders assuming dispersed generation previously allocated in the network. An index is proposed to calculate the maximum hosting capacity based on the response of the optimization problem. Additionally, daily load profiles are considered to test the proposed methodology assuming system load variation. The main contribution of this paper is the optimization model which assumes bounds for reverse power flow and unbalance factor in a systemic analysis based on the three-phase current injection method equations (TPCIM).

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Section: = (mentioning

confidence: 99%

Maximum Hosting Capacity of Distributed Generation in Three-Phase Distribution Systems: An Approach Based on an Optimization Model / Máxima Capacidade De Hospedagem De Geração Distribuída Em Sistemas De Distribuição Trifásicos: Uma Abordagem Baseada Em Um Modelo De Otimização

Melo

Junior

Oliveira

2021

BJD

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“…Notwithstanding their suboptimal results, gradient based methods have been widely adopted by researchers to solve the OPF problem due to their fast computational speeds. Among these, the quadratic programming method [31] and the interior point method (and its variants) [15,32,33] are popular due to their fast computational speeds.…”

Section: Stage 2: Optimal Power Flow Optimal Power Flow (Opf)mentioning

confidence: 99%

Optimal Scheduling of a Microgrid Including Pump Scheduling and Network Constraints

et al. 2018

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This paper proposes an efficient energy management system (EMS) for industrial microgrids (MGs). Many industries deploy large pumps for their processes. Oftentimes, such pumps are operated during hours of peak electricity prices. A lot of industries use a mix of captive generation and imported utility electricity to meet their energy requirements. The MG considered in this paper includes diesel generators, battery energy storage systems, renewable energy sources, flexible loads, and interruptible loads. Pump loads found in shipyard dry docks are modelled as exemplar flexible industrial loads. The proposed EMS has a two-stage architecture. An optimal MG scheduling problem including pump scheduling and curtailment of interruptible loads (ILs) is formulated and solved in the first stage. An optimal power flow problem is solved in the second stage to verify the feasibility of the MG schedule with the network constraints. An iterative procedure is used to coordinate the two EMS stages. Multiple case studies are used to demonstrate the utility of the proposed EMS. The case studies highlight the efficacy of load management strategies such as pump scheduling and curtailment of ILs in reducing the total electricity cost of the MG.

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“…Outros trabalhos utilizaram a função barreira modifica para resolver de maneira eficiente o FPO como: [29] que exploraram o método da função Lagrangiana aumentada barreira modificada para resolver o problema de seleção de tap do transformador ótimo; [30] que aplicaram o algoritmo primaldual barreira logarítmica modificada previsor-corretor; [31] o qual utilizou o método da função barreira modificada associado ao método de penalidade; [32] que aplicou FLBLM e analisou o condicionamento da matriz Hessiana; [33] propôs uma abordagem que utiliza uma função barreira modificada, a qual denominou de método de ponto interior com barreira de segurança; [34] que utilizou uma função barreira modificada relaxada e resolveu o FPO DC com sobrecarga e, por fim, [35] o qual também utilizou a função barreira logarítmica modificada com procedimento previsor-corretor e acrescentou uma estratégia de convergência global para resolver o FPOR.…”

Section: Introductionunclassified

A Modified Barrier and Barrier Method and the Optimal Power Flow Problem

Delgado

Baptista

Bregadioli

et al. 2017

IEEE Latin Am. Trans.

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This work proposes an approach that uses a union of methods based on logarithmic barrier function and modified logarithmic barrier function for the resolution of the reactive optimal power flow problem. In this proposed approach the inequality constraints are transformed into equalities by adding the slack variables, which are handled by logarithmic barrier function or modified logarithmic barrier function, and the equality constraints are handled by means of Lagrange multipliers. These methods are used in two steps. Initially, the method based on the logarithmic barrier function is applied until the transition condition is satisfied. After the method based on modified logarithmic barrier function is used until the stop condition is satisfied. Numerical tests carried out with the IEEE 14, 30, 57 and 118 bus electrical systems indicate that the proposed approach is efficient in the resolution of the reactive optimal power flow problem and the results obtained by the proposed approach were compared with the logarithmic barrier method and the logarithmic barrier method modified, separately.

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An optimal power flow based on safety barrier interior point method

Cited by 52 publications

References 25 publications

Maximum Hosting Capacity of Distributed Generation in Three-Phase Distribution Systems: An Approach Based on an Optimization Model / Máxima Capacidade De Hospedagem De Geração Distribuída Em Sistemas De Distribuição Trifásicos: Uma Abordagem Baseada Em Um Modelo De Otimização

Maximum Hosting Capacity of Distributed Generation in Three-Phase Distribution Systems: An Approach Based on an Optimization Model / Máxima Capacidade De Hospedagem De Geração Distribuída Em Sistemas De Distribuição Trifásicos: Uma Abordagem Baseada Em Um Modelo De Otimização

Optimal Scheduling of a Microgrid Including Pump Scheduling and Network Constraints

A Modified Barrier and Barrier Method and the Optimal Power Flow Problem

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