A nonlinear well-determined model for power system observability using Interior-Point methods

Theodorakatos, Nikolaos P.

doi:10.1016/j.measurement.2019.107305

Cited by 26 publications

(24 citation statements)

References 23 publications

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“…IPA is used in the optimization of various complicated and nonstiff natured systems. Recently, IPA is executed for image restoration [ 30 ], multistage nonlinear nonconvex models [ 31 ], viscoplastic fluid flows [ 32 ], nonsmooth contact dynamics [ 33 ], power systems [ 34 ], and dynamic flux balance analysis models [ 35 ]. The hybridization process of GA-IPA is applied to remove the laziness of GA, i.e., global approach.…”

Section: Designed Proceduresmentioning

confidence: 99%

An Advance Computing Numerical Heuristic of Nonlinear SIR Dengue Fever System Using the Morlet Wavelet Kernel

Umar

Sabir

Raja

et al. 2022

Journal of Healthcare Engineering

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This study is associated to solve the nonlinear SIR dengue fever system using a computational methodology by operating the neural networks based on the designed Morlet wavelet (MWNNs), global scheme as genetic algorithm (GA), and rapid local search scheme as interior-point algorithm (IPA), i.e., GA-IPA. The optimization of fitness function based on MWNNs is performed for solving the nonlinear SIR dengue fever system. This MWNNs-based fitness function is accessible using the differential system and initial conditions of the nonlinear SIR dengue fever system. The designed procedures based on the MWNN-GA-IPA are applied to solve the nonlinear SIR dengue fever system to check the exactness, precision, constancy, and efficiency. The achieved numerical form of the nonlinear SIR dengue fever system via MWNN-GA-IPA was compared with the Runge–Kutta numerical results that verify the significance of MWNN-GA-IPA. Moreover, statistical reflections through different measures for the nonlinear SIR dengue fever system endorse the precision and convergence of the computational MWNN-GA-IPA.

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Section: Designed Proceduresmentioning

confidence: 99%

An Advance Computing Numerical Heuristic of Nonlinear SIR Dengue Fever System Using the Morlet Wavelet Kernel

Umar

Sabir

Raja

et al. 2022

Journal of Healthcare Engineering

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“…The solution of the QP subproblem gives the search direction. The search direction, together with the step size parameter, develops the new iteration 22 toward the optimal solution. The step size parameter is identified by the line search procedure, based upon the Armijo rule.…”

Section: Sequential Quadratic Programmingmentioning

confidence: 99%

“…The optimization approaches, broadly classified into heuristic [13][14] and deterministic, [15][16][17][18][19][20][21][22] implemented in transmission system cannot be used directly in ADNs due to many distinct differences between ADNs and transmission network [23][24][25] :…”

Section: Introductionmentioning

confidence: 99%

Multiple μPMU placement solutions in active distribution networks using nonlinear programming approach

Chauhan

Dahiya

2021

Int Trans Electr Energ Syst

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In an active distribution network (ADN), the optimal micro-PMU (μPMU) placement problem (OμPP) determines the location set with the minimal number of μPMUs that make the system observable. However, most approaches that solve OμPP provide a single location set limiting electrical power monitoring planning flexibility. Therefore, this paper presents an approach based on nonlinear programming (NLP) for solving the OμPP. The objective of the approach is to provide multiple location sets for OμPP that provide flexibility to electrical power monitoring planning. New constraints of the presence of distributed generations (DGs), zero injection buses (ZIBs), and communication line unavailability are taken into account for OμPP formulation. The proposed approach is implemented on the IEEE 69 distribution feeder, Indian-85 distribution feeder, and IEEE 123 distribution feeder. The results show that the proposed approach successfully provides multiple location sets with a minimal number of μPMUs. K E Y W O R D Sbinary integer linear programming (BILP), distributed generation, micro-phasor measurement unit (μPMU), nonlinear programming (NLP)

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“…These methods can be grouped as conventional methods and heuristic algorithms. Various conventional methods 8‐13 have been used for solving the OPP problem. Chakrabarti et al 8 have presented an integer quadratic programming approach for finding the optimal PMUs count and maximizing the measurement redundancy at power network buses.…”

Section: Introductionmentioning

confidence: 99%

“…This proposed model has been solved by employing a recursive quadratic programming method which aims to determine the guaranteed global minima. In Theodorakato, 13 the hybrid‐optimization method combining branch and bound and local search procedure based on the interior‐point method has been proposed and adopted for the OPP problem. The proposed algorithm is advantageous in a manner that it offers multiple solutions.…”

Section: Introductionmentioning

confidence: 99%

An approach for economic design of wide area monitoring system by co‐optimizing phasor measurement unit placement and associated communication infrastructure

Patel

Tailor

Shah

et al. 2021

Int Trans Electr Energ Syst

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Summary Wide area monitoring system has been implemented in power systems to improve control and protection aspects by carrying out the continuous synchronous measurement. It consists of phasor measurement units (PMUs) along with communication infrastructure (CI) to connect all PMUs to the phasor data concentrator (PDC). In this work, simultaneous optimization of PMU count thereby its cost and CI cost has been taken as the objective while ensuring entire system observability. To incorporate the effect of zero injection bus, an improved model has been adopted. A modified objective function has been proposed which enhances maximum observability and further improves the reliability of system monitoring. Dijkstra's algorithm has been utilized for designing optimal CI as well as to identify the location of PDC. Practical operating scenarios such as N‐1 contingency and the presence of pre‐installed PMU or fiber optic have also been simulated. Binary dragonfly algorithm has been applied to solve the considered optimization problem. To demonstrate the efficacy of the proposed method it has been implemented on different IEEE standard test cases. A comparison of obtained results has been presented which indicates the superiority of the proposed method over other methods reported in the literature.

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A nonlinear well-determined model for power system observability using Interior-Point methods

Cited by 26 publications

References 23 publications

An Advance Computing Numerical Heuristic of Nonlinear SIR Dengue Fever System Using the Morlet Wavelet Kernel

An Advance Computing Numerical Heuristic of Nonlinear SIR Dengue Fever System Using the Morlet Wavelet Kernel

Multiple μPMU placement solutions in active distribution networks using nonlinear programming approach

An approach for economic design of wide area monitoring system by co‐optimizing phasor measurement unit placement and associated communication infrastructure

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