Periodic Steady State Assessment of Microgrids with Photovoltaic Generation Using Limit Cycle Extrapolation and Cubic Splines

Díaz-Araujo, Marcolino; Medína, A.; Cisneros-Magana, Rafael; Ramirez, A. Hernandez

doi:10.3390/en11082096

Cited by 7 publications

(9 citation statements)

References 25 publications

(49 reference statements)

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“…The process of applying the proposed methodology by CCA-ND begins. As a first step, the test system data is read, for the formation of the conductance matrix [G] in block (1). It is verified if the matrix [G] is symmetric, if the response is yes, the simulation process continues, otherwise the process ends; this is shown in block (2).…”

Section: Solution Process By Cca-ndmentioning

confidence: 99%

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A Time-Domain Companion-Circuit Newton-Based Methodology Applied to the Harmonic Analysis of Electrical Networks With PV Systems

2020

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This contribution proposes an efficient methodology in time domain (TD) based on companion-circuit analysis (CCA) and a Newton method of extrapolation to the Limit Cycle (periodic steady state solution) based on a Numerical Differentiation (ND) process. Its formulation is amenable to the solution approach followed by standardized digital simulators widely accepted by the power industry, such as EMTP and/or EMTDC. The particular application reported in this research is oriented to the dynamic and fast periodic steady state solution of nonlinear single-phase electrical networks incorporating photovoltaic (PV) systems under harmonic distortion conditions. Fundamentally, the proposed methodology is based on the representation of linear and nonlinear elements (e.g., switching elements), using Norton equivalents. This solution method is based on the determination of discrete differential equations sets, obtained by nodal analysis. The solution process is iteratively obtained by using LU decomposition. In general terms, the application is based on the combination of the CCA and ND methods (CCA-ND), for the applying in different case studies associated with the assessment of harmonics distortion, in terms of individual and total harmonic distortion at the point of common coupling (PCC) between the PV system and the electrical system are reported. It is shown that the methodology is precise, reliable and efficient. The documented results have been successfully validated against those obtained PSCAD/EMTDC® simulator, widely accepted by the power industry.

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Section: Solution Process By Cca-ndmentioning

confidence: 99%

“…O VER the years, different methodologies have been de-veloped to represent the dynamic operation of electrical networks in time domain (TD) for periodic steady state and transient state analysis [1]- [3].…”

mentioning

confidence: 99%

A Time-Domain Companion-Circuit Newton-Based Methodology Applied to the Harmonic Analysis of Electrical Networks With PV Systems

2020

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“…However, a disadvantage of the SSM, is the excessive computer effort needed to obtain solution through a set of ODEs in a practical way when it is applied to large-scale systems or more complex systems, i.e. systems with a large number of electric or electronic components, control systems, among others [16]- [18].…”

Section: Introductionmentioning

confidence: 99%

Comparative Analysis of State-Space and Companion-Circuit Methodologies for the Periodic Steady-State Solution in Time-Domain of Nonlinear Electric Networks

Godinez-Delgado

Medina-Rios

2021

IEEE Access

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This contribution reports a comparative analysis of two methodologies for the periodic steady-state solution of linear and nonlinear electric networks in time-domain (TD), based on the state-space model (SSM) and companion-circuit analysis (CCA), respectively. Newton methods based on a conventional Numerical Differentiation (ND) and Enhanced Numerical Differentiation (END) process, respectively, are used. The application of the SSM and CCA methods is done using a brute force (BF) procedure and the application of advanced numerical techniques (ANT) through the forward Euler (FE) and Trapezoidal Rule (TR) numerical integration, respectively. Related analysis show comparisons of each case study in terms of efficiency, speed, computer effort and accuracy between the combination of SSM, CCA and Newton methods, e.g. SSM-ND, SSM-END, CCA-ND and CCA-END, respectively. In particular, the analysis is shown in terms of time-steps per period, CPU processing time and a computer platform used are shown. The results obtained from the reported case studies are validated against the Power Systems Computer Aided Design/Electromagnetic Transients Program including Direct Current (PSCAD/EMTDC ® ) response, widely accepted by the power industry.

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“…Their use and application are at present consolidated, based on the several applications reported for the efficient periodic steady-state solution of nonlinear and time-varying components and electrical networks [15]. In particular, in a recent contribution [16], the periodic steady state of a microgrid with PV generation is obtained in the time domain using a Newton method [13] and cubic splines.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Grid-Connected Photovoltaic Generation Systems in the Harmonic Domain

et al. 2019

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In this contribution, a harmonic domain (HD) model of grid-connected photovoltaic (PV) generation systems is proposed. The topology of the PV generation system contains a PV array connected to a DC/DC converter and a DC/AC converter, coupled to the grid through a filter. The individual components of the PV system are modeled in the HD. The PV array is represented as a Thevenin equivalent, whereas the DC/DC converter and the DC/AC converter are represented in the HD using switching function matrices. The periodic steady-state solution of the PV system is obtained through simple matrix/vector operations. The results obtained by the proposed model are validated against the response obtained with the PSCAD/EMTDC® simulator, widely accepted by the power industry.

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Periodic Steady State Assessment of Microgrids with Photovoltaic Generation Using Limit Cycle Extrapolation and Cubic Splines

Cited by 7 publications

References 25 publications

A Time-Domain Companion-Circuit Newton-Based Methodology Applied to the Harmonic Analysis of Electrical Networks With PV Systems

A Time-Domain Companion-Circuit Newton-Based Methodology Applied to the Harmonic Analysis of Electrical Networks With PV Systems

Comparative Analysis of State-Space and Companion-Circuit Methodologies for the Periodic Steady-State Solution in Time-Domain of Nonlinear Electric Networks

Analysis of Grid-Connected Photovoltaic Generation Systems in the Harmonic Domain

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