LAPSE:2018.0618
Published Article
LAPSE:2018.0618
Periodic Steady State Assessment of Microgrids with Photovoltaic Generation Using Limit Cycle Extrapolation and Cubic Splines
Marcolino Díaz-Araujo, Aurelio Medina, Rafael Cisneros-Magaña, Amner Ramírez
September 21, 2018
This paper proposes a fast and accurate time domain (TD) methodology for the assessment of the dynamic and periodic steady state operation of microgrids with photovoltaic (PV) energy sources. The proposed methodology uses the trapezoidal rule (TR) technique to integrate the set of first-order differential algebraic equations (DAE), generated by the entire electrical system. The Numerical Differentiation (ND) method is used to significantly speed-up the process of convergence of the state variables to the limit cycle with the fewest number of possible time steps per cycle. After that, the cubic spline interpolation (CSI) algorithm is used to reconstruct the steady state waveform obtained from the ND method and to increase the efficiency of the conventional TR method. This curve-fitting algorithm is used only once at the end part of the algorithm. The ND-CSI can be used to assess stability, power quality, dynamic and periodic steady state operation, fault and transient conditions, among other issues, of microgrids with PV sources. The results are successfully validated through direct comparison against those obtained with the PSCAD/EMTDC simulator, widely accepted by the power industry.
Keywords
cubic splines, limit cycle, numerical differentiation method, periodic steady state, photovoltaic energy sources, time domain
Suggested Citation
Díaz-Araujo M, Medina A, Cisneros-Magaña R, Ramírez A. Periodic Steady State Assessment of Microgrids with Photovoltaic Generation Using Limit Cycle Extrapolation and Cubic Splines. (2018). LAPSE:2018.0618
Author Affiliations
Díaz-Araujo M: División de Estudios de Posgrado, Facultad de Ingeniería Eléctrica, Universidad Michoacana de San Nicolás de Hidalgo, Morelia 58030, México
Medina A: División de Estudios de Posgrado, Facultad de Ingeniería Eléctrica, Universidad Michoacana de San Nicolás de Hidalgo, Morelia 58030, México
Cisneros-Magaña R: División de Estudios de Posgrado, Facultad de Ingeniería Eléctrica, Universidad Michoacana de San Nicolás de Hidalgo, Morelia 58030, México [ORCID]
Ramírez A: Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Zapopan 45019, México [ORCID]
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Journal Name
Energies
Volume
11
Issue
8
Article Number
E2096
Year
2018
Publication Date
2018-08-13
Published Version
ISSN
1996-1073
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Original Submission
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PII: en11082096, Publication Type: Journal Article
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LAPSE:2018.0618
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doi:10.3390/en11082096
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Sep 21, 2018
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Sep 21, 2018
 
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Original Submitter
Calvin Tsay
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