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Title: A semiparametric spatio-temporal model for solar irradiance data

Abstract

Here, we evaluate semiparametric spatio-temporal models for global horizontal irradiance at high spatial and temporal resolution. These models represent the spatial domain as a lattice and are capable of predicting irradiance at lattice points, given data measured at other lattice points. Using data from a 1.2 MW PV plant located in Lanai, Hawaii, we show that a semiparametric model can be more accurate than simple interpolation between sensor locations. We investigate spatio-temporal models with separable and nonseparable covariance structures and find no evidence to support assuming a separable covariance structure. These results indicate a promising approach for modeling irradiance at high spatial resolution consistent with available ground-based measurements. Moreover, this kind of modeling may find application in design, valuation, and operation of fleets of utility-scale photovoltaic power systems.

Authors:
ORCiD logo [1];  [2];  [3]
  1. Univ. of California, Davis, CA (United States)
  2. Baylor Univ., Waco, TX (United States)
  3. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1115287
Alternate Identifier(s):
OSTI ID: 1396757
Report Number(s):
SAND-2013-9073J
Journal ID: ISSN 0960-1481; PII: S0960148115303542
Grant/Contract Number:  
AC04-94AL85000; 1303122
Resource Type:
Accepted Manuscript
Journal Name:
Renewable Energy
Additional Journal Information:
Journal Volume: 87; Journal Issue: P1; Journal ID: ISSN 0960-1481
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
14 SOLAR ENERGY; irradiance; spatio-temporal model; nonseparability; lattice data; semiparametric time series

Citation Formats

Patrick, Joshua D., Harvill, Jane L., and Hansen, Clifford W. A semiparametric spatio-temporal model for solar irradiance data. United States: N. p., 2016. Web. doi:10.1016/j.renene.2015.10.001.
Patrick, Joshua D., Harvill, Jane L., & Hansen, Clifford W. A semiparametric spatio-temporal model for solar irradiance data. United States. https://doi.org/10.1016/j.renene.2015.10.001
Patrick, Joshua D., Harvill, Jane L., and Hansen, Clifford W. Tue . "A semiparametric spatio-temporal model for solar irradiance data". United States. https://doi.org/10.1016/j.renene.2015.10.001. https://www.osti.gov/servlets/purl/1115287.
@article{osti_1115287,
title = {A semiparametric spatio-temporal model for solar irradiance data},
author = {Patrick, Joshua D. and Harvill, Jane L. and Hansen, Clifford W.},
abstractNote = {Here, we evaluate semiparametric spatio-temporal models for global horizontal irradiance at high spatial and temporal resolution. These models represent the spatial domain as a lattice and are capable of predicting irradiance at lattice points, given data measured at other lattice points. Using data from a 1.2 MW PV plant located in Lanai, Hawaii, we show that a semiparametric model can be more accurate than simple interpolation between sensor locations. We investigate spatio-temporal models with separable and nonseparable covariance structures and find no evidence to support assuming a separable covariance structure. These results indicate a promising approach for modeling irradiance at high spatial resolution consistent with available ground-based measurements. Moreover, this kind of modeling may find application in design, valuation, and operation of fleets of utility-scale photovoltaic power systems.},
doi = {10.1016/j.renene.2015.10.001},
journal = {Renewable Energy},
number = P1,
volume = 87,
place = {United States},
year = {Tue Mar 01 00:00:00 EST 2016},
month = {Tue Mar 01 00:00:00 EST 2016}
}

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Cited by: 9 works
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Works referenced in this record:

On Stationary Processes in the Plane
journal, January 1954


Forecasting of preprocessed daily solar radiation time series using neural networks
journal, December 2010


Spline-backfitted kernel forecasting for functional-coefficient autoregressive models
preprint, January 2015


Predicting solar radiation at high resolutions: A comparison of time series forecasts
journal, March 2009


Modeling solar irradiance smoothing for large PV power plants using a 45-sensor network and the Wavelet Variability Model
journal, December 2014


A Wavelet-Based Variability Model (WVM) for Solar PV Power Plants
journal, April 2013

  • Lave, Matthew; Kleissl, Jan; Stein, Joshua S.
  • IEEE Transactions on Sustainable Energy, Vol. 4, Issue 2
  • DOI: 10.1109/TSTE.2012.2205716

From irradiance to output power fluctuations: the PV plant as a low pass filter
journal, January 2011

  • Marcos, Javier; Marroyo, Luis; Lorenzo, Eduardo
  • Progress in Photovoltaics: Research and Applications, Vol. 19, Issue 5
  • DOI: 10.1002/pip.1063

Effect of correlations in time and spatial extent on performance of very large solar conversion systems
journal, January 1989


Quantifying PV power Output Variability
journal, October 2010


Non-Linear Autoregressive Time Series with Multivariate Gaussian Mixtures as Marginal Distributions
journal, June 2001

  • Glasbey, C. A.
  • Journal of the Royal Statistical Society Series C: Applied Statistics, Vol. 50, Issue 2
  • DOI: 10.1111/1467-9876.00225

Predicting solar radiation at high resolutions: A comparison of time series forecasts
journal, March 2009


Forecasting of preprocessed daily solar radiation time series using neural networks
journal, December 2010


A spatiotemporal auto-regressive moving average model for solar radiation
journal, June 2008

  • Glasbey, C. A.; Allcroft, D. J.
  • Journal of the Royal Statistical Society: Series C (Applied Statistics), Vol. 57, Issue 3
  • DOI: 10.1111/j.1467-9876.2007.00617.x

Spatio-temporal variability of solar energy across a region: a statistical modelling approach
journal, January 2001


Solar irradiance forecasting using spatial-temporal covariance structures and time-forward kriging
journal, December 2013


Modeling PV fleet output variability
journal, August 2012


Short-term irradiance variability: Preliminary estimation of station pair correlation as a function of distance
journal, August 2012


High-frequency irradiance fluctuations and geographic smoothing
journal, August 2012


Intra-hour forecasts of solar power production using measurements from a network of irradiance sensors
journal, November 2013


A Poisson model for anisotropic solar ramp rate correlations
journal, March 2014


Fully Bayesian Spatio-Temporal Modeling of FMRI Data
journal, February 2004

  • Woolrich, M. W.; Jenkinson, M.; Brady, J. M.
  • IEEE Transactions on Medical Imaging, Vol. 23, Issue 2
  • DOI: 10.1109/TMI.2003.823065

Modelling nonlinear random vibrations using an amplitude-dependent autoregressive time series model
journal, January 1981


Functional-Coefficient Regression Models for Nonlinear Time Series
journal, September 2000


A note on multi-step forecasting with functional coefficient autoregressive models
journal, October 2005


Functional Coefficient Autoregressive Models: Estimation and Tests of Hypotheses
journal, March 2001


Functional coefficient autoregressive models for vector time series
journal, August 2006


Spline-backfitted kernel smoothing of nonlinear additive autoregression model
journal, December 2007


Efficient and fast spline-backfitted kernel smoothing of additive models
journal, October 2007

  • Wang, Jing; Yang, Lijian
  • Annals of the Institute of Statistical Mathematics, Vol. 61, Issue 3
  • DOI: 10.1007/s10463-007-0157-x

Spline-backfitted kernel smoothing of partially linear additive model
journal, January 2011


Spline-Backfitted Kernel Smoothing of Additive Coefficient Model
journal, January 2010


On Stationary Processes in the Plane
journal, January 1954


Tracking and back-tracking: Tracking and Back-Tracking
journal, February 2011

  • Lorenzo, E.; Narvarte, L.; Muñoz, J.
  • Progress in Photovoltaics: Research and Applications, Vol. 19, Issue 6
  • DOI: 10.1002/pip.1085

Works referencing / citing this record:

Spline-backfitted kernel forecasting for functional-coefficient autoregressive models
preprint, January 2015