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Published in: Neural Processing Letters 2/2017

18-07-2016

Fully Complex Valued Wavelet Network for Forecasting the Global Solar Irradiation

Authors: L. Saad Saoud, F. Rahmoune, V. Tourtchine, K. Baddari

Published in: Neural Processing Letters | Issue 2/2017

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Abstract

Forecasting solar irradiation is very important to plane and size PV systems. In this paper, the fully complex valued wavelet network (FCWN) for forecasting the global solar irradiation is proposed. The complex valued gradient descent-learning algorithm is used to find the optimal complex-valued parameters of the network. An improved fully wavelet function is proposed and used as an activation function of the hidden neurons of the FCWN. The meteorological measured data of Tamanrasset city, Algeria (latitude: \(22^{\circ }48\)N; longitude: \(05^{\circ }26\)E) is used to validate the developed model. The hourly and the daily solar irradiations are forecasted using the multi input single output and the multi input multi output strategies. Several results are presented to test the feasibility and the performance of the FCWN for forecasting either daily or hourly solar irradiation. Results obtained throughout this paper show that the FCWN is a promising technique for forecasting daily and hourly solar irradiation.

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Appendix
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Literature
1.
go back to reference Suresh S, Sundararajan N, Savitha R (2013) Supervised learning with complex-valued neural networks. Springer, BerlinCrossRef Suresh S, Sundararajan N, Savitha R (2013) Supervised learning with complex-valued neural networks. Springer, BerlinCrossRef
2.
go back to reference Nitta T (2009) “Complex-valued neural networks: utilizing high-dimensional parameters”, information science reference (an imprint of IGI Global). Hershey, New YorkCrossRef Nitta T (2009) “Complex-valued neural networks: utilizing high-dimensional parameters”, information science reference (an imprint of IGI Global). Hershey, New YorkCrossRef
3.
go back to reference Goh SL, Chen M, Popovic DH, Aihara K, Obradovic D, Mandic DP (2006) Complex-valued forecasting of wind profile. Renew Energy 31:1733–1750CrossRef Goh SL, Chen M, Popovic DH, Aihara K, Obradovic D, Mandic DP (2006) Complex-valued forecasting of wind profile. Renew Energy 31:1733–1750CrossRef
4.
go back to reference Goh SL, Mandic DP (2005) Nonlinear adaptive prediction of complex-valued signals by complex-valued PRNN. IEEE Trans Signal Process 53(5):1827–1836MathSciNetCrossRef Goh SL, Mandic DP (2005) Nonlinear adaptive prediction of complex-valued signals by complex-valued PRNN. IEEE Trans Signal Process 53(5):1827–1836MathSciNetCrossRef
5.
go back to reference Chen S, McLaughlin S, Mulgrew B (1994) Complex-valued radial basis function network, part II: application to digital communications channel equalization. Signal Process 36:175–188CrossRefMATH Chen S, McLaughlin S, Mulgrew B (1994) Complex-valued radial basis function network, part II: application to digital communications channel equalization. Signal Process 36:175–188CrossRefMATH
6.
go back to reference Tripathi BK, Chandra B, Singh M, Kalra PK (2011) Complex generalized-mean neuron model and its applications. Appl Soft Comput 11:768–777CrossRef Tripathi BK, Chandra B, Singh M, Kalra PK (2011) Complex generalized-mean neuron model and its applications. Appl Soft Comput 11:768–777CrossRef
7.
go back to reference Hirose A (2006) Complex-valued neural networks: distinctive features. In: “Complex-valued neural networks”, studies in computational intelligence (SCI), vol 32. Springer, Berlin, pp 17–41 Hirose A (2006) Complex-valued neural networks: distinctive features. In: “Complex-valued neural networks”, studies in computational intelligence (SCI), vol 32. Springer, Berlin, pp 17–41
8.
go back to reference Hirose A (2006) Complex-valued neural networks fertilize electronics. In: “Complex-valued neural networks”, studies in computational intelligence (SCI), vol 32. Springer, Berlin, pp 3–8 Hirose A (2006) Complex-valued neural networks fertilize electronics. In: “Complex-valued neural networks”, studies in computational intelligence (SCI), vol 32. Springer, Berlin, pp 3–8
9.
go back to reference Chairez I, Fuentes R, Poznyak A, Poznyak T (2010) “Robust identification of uncertain Schrödinger type complex partial differential equations” 2010 7th international conference on electrical engineering, computing science and automatic control (CCE 2010), Tuxtla Gutiérrez, Chiapas, México. September 8–10, pp 170–175 Chairez I, Fuentes R, Poznyak A, Poznyak T (2010) “Robust identification of uncertain Schrödinger type complex partial differential equations” 2010 7th international conference on electrical engineering, computing science and automatic control (CCE 2010), Tuxtla Gutiérrez, Chiapas, México. September 8–10, pp 170–175
10.
go back to reference Rajendra M, Shankar K (2015) Improved complex-valued radial basis function (ICRBF) neural networks on multiple crack identification. Appl Soft Comput 28:285–300CrossRef Rajendra M, Shankar K (2015) Improved complex-valued radial basis function (ICRBF) neural networks on multiple crack identification. Appl Soft Comput 28:285–300CrossRef
11.
go back to reference Hirose A (2011) Nature of complex number and complex-valued neural networks. Front Electr Electron Eng 6(1):171–180 ChinaCrossRef Hirose A (2011) Nature of complex number and complex-valued neural networks. Front Electr Electron Eng 6(1):171–180 ChinaCrossRef
12.
go back to reference Mandic DP, Javidi S, Souretis G, Goh VSL (2007) Why a complex valued solution for a real domain problem. 2007 IEEE workshop on machine learning for signal processing, 27–29 Aug 2007, Thessaloniki, pp 384–389 Mandic DP, Javidi S, Souretis G, Goh VSL (2007) Why a complex valued solution for a real domain problem. 2007 IEEE workshop on machine learning for signal processing, 27–29 Aug 2007, Thessaloniki, pp 384–389
13.
go back to reference Hirose A, Yoshida S (2013) Relationship between phase and amplitude generalization errors in complex- and real-valued feed forward neural networks. Neural Comput Appl 22(7–8):1357–1366CrossRef Hirose A, Yoshida S (2013) Relationship between phase and amplitude generalization errors in complex- and real-valued feed forward neural networks. Neural Comput Appl 22(7–8):1357–1366CrossRef
14.
go back to reference Suresh S, Savitha R, Sundararajan N (2011) A fast learning fully complex-valued relaxation network (FCRN). In: Proceedings of international joint conference on neural networks. San Jose, July 31–August 5, 2011 Suresh S, Savitha R, Sundararajan N (2011) A fast learning fully complex-valued relaxation network (FCRN). In: Proceedings of international joint conference on neural networks. San Jose, July 31–August 5, 2011
15.
go back to reference Hirose A (1992) Continuous complex-valued back-propagation learning. Electron Lett 28(20):1854–1855CrossRef Hirose A (1992) Continuous complex-valued back-propagation learning. Electron Lett 28(20):1854–1855CrossRef
16.
go back to reference Li S, Okada T, Chen X, Tang Z (2006) An individual adaptive gain parameter backpropagation algorithm for complex-valued neural networks. In: Wang J et al (ed) Advances in neural networks—ISNN 2006 (Lecture notes in computer science), vol 3971. Springer, Berlin, pp 551–557 Li S, Okada T, Chen X, Tang Z (2006) An individual adaptive gain parameter backpropagation algorithm for complex-valued neural networks. In: Wang J et al (ed) Advances in neural networks—ISNN 2006 (Lecture notes in computer science), vol 3971. Springer, Berlin, pp 551–557
17.
go back to reference Al-Masri AN, Ab Kadir MZA, Hizam H, Mariun N (2015) Simulation of an adaptive artificial neural network for power system security enhancement including control action. Appl Soft Comput 29:1–11CrossRef Al-Masri AN, Ab Kadir MZA, Hizam H, Mariun N (2015) Simulation of an adaptive artificial neural network for power system security enhancement including control action. Appl Soft Comput 29:1–11CrossRef
18.
go back to reference Zhang Y, Li Z, Li K (2011) Complex-valued Zhang neural network for online complex-valued time-varying matrix inversion. Appl Math Comput 217:10066–10073MathSciNetMATH Zhang Y, Li Z, Li K (2011) Complex-valued Zhang neural network for online complex-valued time-varying matrix inversion. Appl Math Comput 217:10066–10073MathSciNetMATH
19.
go back to reference Zurada JM, Aizenberg I (2008) Fully coupled and feedforward neural networks with complex-valued neurons. In: Advances in intelligent and distributed computing, studies in computational intelligence, vol 78, pp 41–50 Zurada JM, Aizenberg I (2008) Fully coupled and feedforward neural networks with complex-valued neurons. In: Advances in intelligent and distributed computing, studies in computational intelligence, vol 78, pp 41–50
20.
go back to reference Tripathi BK, Kalra PK (2010) High dimensional neural networks and applications. In: Pratihar DK, Jain LC (eds) Intelligent autonomous systems, studies in computational intelligence. Springer, Berlin, pp 215–233 Tripathi BK, Kalra PK (2010) High dimensional neural networks and applications. In: Pratihar DK, Jain LC (eds) Intelligent autonomous systems, studies in computational intelligence. Springer, Berlin, pp 215–233
21.
go back to reference Rattan SP, Hsieh W (2005) Complex-valued neural networks for nonlinear complex principal component analysis. Neural Netw 18:61–69CrossRefMATH Rattan SP, Hsieh W (2005) Complex-valued neural networks for nonlinear complex principal component analysis. Neural Netw 18:61–69CrossRefMATH
22.
go back to reference Yadav A, Mishra D, Ray S, Yadav RN, Kalra PK (2005) Representation of complex-valued neural networks: a real-valued approach. In: Proceedings of 2005 international conference on intelligent sensing and information processing, 4–7 Jan. 2005, pp 331–335 Yadav A, Mishra D, Ray S, Yadav RN, Kalra PK (2005) Representation of complex-valued neural networks: a real-valued approach. In: Proceedings of 2005 international conference on intelligent sensing and information processing, 4–7 Jan. 2005, pp 331–335
23.
go back to reference Kuroe Y, Hashimoto N, Mori T (2002) On energy function for complex-valued neural networks and its applications. In: Proceedings of the 9th international conference on neural information processing (ICONIP’ 02), vol 3, 18–22 Nov 2002, pp 1079–1983 Kuroe Y, Hashimoto N, Mori T (2002) On energy function for complex-valued neural networks and its applications. In: Proceedings of the 9th international conference on neural information processing (ICONIP’ 02), vol 3, 18–22 Nov 2002, pp 1079–1983
24.
go back to reference Hirose A (1992) Proposal of fully complex-valued neural networks. IEEE international joint conference on neural networks, IJCNN 1992, vol 4, 7–11 Jun 1992, pp 152-157, Baltimore Hirose A (1992) Proposal of fully complex-valued neural networks. IEEE international joint conference on neural networks, IJCNN 1992, vol 4, 7–11 Jun 1992, pp 152-157, Baltimore
25.
go back to reference Kim T, Adali T (2002) Fully complex multi-layer perceptron network for nonlinear signal processing. J VLSI Signal Process 32(1–2):29–43CrossRefMATH Kim T, Adali T (2002) Fully complex multi-layer perceptron network for nonlinear signal processing. J VLSI Signal Process 32(1–2):29–43CrossRefMATH
27.
go back to reference Özdemir N, Iskender BB, Özgür NY (2011) Complex valued neural network with Möbius activation function. Commun Nonlinear Sci Numer Simul 16:4698–4703MathSciNetCrossRefMATH Özdemir N, Iskender BB, Özgür NY (2011) Complex valued neural network with Möbius activation function. Commun Nonlinear Sci Numer Simul 16:4698–4703MathSciNetCrossRefMATH
28.
go back to reference Wu X, Fan Y (2008) Synchronous generator model identification using half-complex wavelet nonlinear ARX network. International conference on electrical machines and systems, ICEMS 2008, 17–20 Oct 2008, Wuhan, pp 20–25 Wu X, Fan Y (2008) Synchronous generator model identification using half-complex wavelet nonlinear ARX network. International conference on electrical machines and systems, ICEMS 2008, 17–20 Oct 2008, Wuhan, pp 20–25
29.
go back to reference Mishra S, Sharma A, Panda G (2011) Wind power forecasting model using complex wavelet theory. International conference on energy, automation, and signal (ICEAS), 28–30 Dec 2011, Bhubaneswar, Odisha, pp 1–4 Mishra S, Sharma A, Panda G (2011) Wind power forecasting model using complex wavelet theory. International conference on energy, automation, and signal (ICEAS), 28–30 Dec 2011, Bhubaneswar, Odisha, pp 1–4
30.
go back to reference Subramanian K, Savitha R, Suresh S (2014) A complex-valued neuro-fuzzy inference system and its learning mechanism. Neurocomputing 123(10):110–120CrossRef Subramanian K, Savitha R, Suresh S (2014) A complex-valued neuro-fuzzy inference system and its learning mechanism. Neurocomputing 123(10):110–120CrossRef
31.
go back to reference Özbay Y, Kara S, Latifoğlu F, Ceylan R, Ceylan M (2007) Complex-valued wavelet artificial neural network for Doppler signals classifying. Artif Intell Med 40:143–156CrossRef Özbay Y, Kara S, Latifoğlu F, Ceylan R, Ceylan M (2007) Complex-valued wavelet artificial neural network for Doppler signals classifying. Artif Intell Med 40:143–156CrossRef
32.
go back to reference Saad Saoud L, Rahmoune F, Tourtchine V, Baddari K (2013) Complex-valued forecasting of global solar irradiance. J Renew Sustain Energy 5(4):043124–043145CrossRef Saad Saoud L, Rahmoune F, Tourtchine V, Baddari K (2013) Complex-valued forecasting of global solar irradiance. J Renew Sustain Energy 5(4):043124–043145CrossRef
33.
go back to reference Mak KL, Peng P, Yiu KFC, Li LK (2013) Multi-dimensional complex-valued Gabor wavelet networks. Math Comput Model 58(11–12):1755–1768MathSciNetCrossRefMATH Mak KL, Peng P, Yiu KFC, Li LK (2013) Multi-dimensional complex-valued Gabor wavelet networks. Math Comput Model 58(11–12):1755–1768MathSciNetCrossRefMATH
34.
go back to reference Zainuddin Z, Pauline O (2011) Modified wavelet neural network in function approximation and its application in prediction of time-series pollution data. Appl Soft Comput 11:4866–4874CrossRef Zainuddin Z, Pauline O (2011) Modified wavelet neural network in function approximation and its application in prediction of time-series pollution data. Appl Soft Comput 11:4866–4874CrossRef
35.
go back to reference Babu GS, Suresh S (2013) Meta-cognitive RBF Network and its projection based learning algorithm for classification problems. Appl Soft Comput 13:654–666CrossRef Babu GS, Suresh S (2013) Meta-cognitive RBF Network and its projection based learning algorithm for classification problems. Appl Soft Comput 13:654–666CrossRef
36.
go back to reference Jamil M, Kalam A, Ansari AQ, Rizwan M (2014) Generalized neural network and wavelet transform based approach for fault location estimation of a transmission line. Appl Soft Comput 19:322–332CrossRef Jamil M, Kalam A, Ansari AQ, Rizwan M (2014) Generalized neural network and wavelet transform based approach for fault location estimation of a transmission line. Appl Soft Comput 19:322–332CrossRef
37.
go back to reference Rajendra M, Shankar K (2015) Improved complex-valued radial basis function (ICRBF) neural networks on multiple crack identification. Appl Soft Comput 28:285–300CrossRef Rajendra M, Shankar K (2015) Improved complex-valued radial basis function (ICRBF) neural networks on multiple crack identification. Appl Soft Comput 28:285–300CrossRef
38.
go back to reference Sivachitra M, Vijayachitra S (2015) A metacognitive fully complex valued functional link network for solving real valued classification problems. Appl Soft Comput 33:328–336CrossRef Sivachitra M, Vijayachitra S (2015) A metacognitive fully complex valued functional link network for solving real valued classification problems. Appl Soft Comput 33:328–336CrossRef
39.
go back to reference Hu J, Wang J (2012) Global stability of complex-valued recurrent neural networks with time-delays. IEEE Trans Neural Netw Learn Syst 23(6):853–865MathSciNetCrossRef Hu J, Wang J (2012) Global stability of complex-valued recurrent neural networks with time-delays. IEEE Trans Neural Netw Learn Syst 23(6):853–865MathSciNetCrossRef
40.
go back to reference Khare A, Rangnekar S (2013) A review of particle swarm optimization and its applications in solar photovoltaic system. Appl Soft Comput 13:2997–3006CrossRef Khare A, Rangnekar S (2013) A review of particle swarm optimization and its applications in solar photovoltaic system. Appl Soft Comput 13:2997–3006CrossRef
41.
go back to reference Nagia J, Yap KS, Nagi F, Tiong SK, Ahmed SK (2011) A computational intelligence scheme for the prediction of the daily peak load. Appl Soft Comput 11:4773–4788CrossRef Nagia J, Yap KS, Nagi F, Tiong SK, Ahmed SK (2011) A computational intelligence scheme for the prediction of the daily peak load. Appl Soft Comput 11:4773–4788CrossRef
42.
go back to reference Seera M, Lim CP, Loo CK, Singh H (2015) A modified fuzzy min-max neural network for data clustering and its application to power quality monitoring. Appl Soft Comput 28:19–29CrossRef Seera M, Lim CP, Loo CK, Singh H (2015) A modified fuzzy min-max neural network for data clustering and its application to power quality monitoring. Appl Soft Comput 28:19–29CrossRef
43.
go back to reference Venkadesh S, Hoogenboom G, Potter W, McClendon R (2013) A genetic algorithm to refine input data selection for air temperature prediction using artificial neural networks. Appl Soft Comput 13:2253–2260CrossRef Venkadesh S, Hoogenboom G, Potter W, McClendon R (2013) A genetic algorithm to refine input data selection for air temperature prediction using artificial neural networks. Appl Soft Comput 13:2253–2260CrossRef
44.
go back to reference Zhang W, Wanga J, Wang J, Zhao Z, Tian M (2013) Short-term wind speed forecasting based on a hybrid model. Appl Soft Comput 13:3225–3233CrossRef Zhang W, Wanga J, Wang J, Zhao Z, Tian M (2013) Short-term wind speed forecasting based on a hybrid model. Appl Soft Comput 13:3225–3233CrossRef
45.
go back to reference Kulkarni S, Simon SP, Sundareswaran K (2013) A spiking neural network (SNN) forecast engine for short-term electrical load forecasting. Appl Soft Comput 13:3628–3635CrossRef Kulkarni S, Simon SP, Sundareswaran K (2013) A spiking neural network (SNN) forecast engine for short-term electrical load forecasting. Appl Soft Comput 13:3628–3635CrossRef
46.
go back to reference Cheng M-Y, Cao M-T (2014) Accurately predicting building energy performance using evolutionary multivariate adaptive regression splines. Appl Soft Comput 22:178–188CrossRef Cheng M-Y, Cao M-T (2014) Accurately predicting building energy performance using evolutionary multivariate adaptive regression splines. Appl Soft Comput 22:178–188CrossRef
47.
go back to reference Wang J, Zhang W, Li Y, Wang J, Dang Z (2014) Forecasting wind speed using empirical mode decomposition and Elman neural network. Appl Soft Comput 23:452–459CrossRef Wang J, Zhang W, Li Y, Wang J, Dang Z (2014) Forecasting wind speed using empirical mode decomposition and Elman neural network. Appl Soft Comput 23:452–459CrossRef
48.
go back to reference Castro A, Carballo R, Iglesias G, Rabunal JR (2014) Performance of artificial neural networks in nearshore wave power prediction. Appl Soft Comput 23:194–201CrossRef Castro A, Carballo R, Iglesias G, Rabunal JR (2014) Performance of artificial neural networks in nearshore wave power prediction. Appl Soft Comput 23:194–201CrossRef
49.
go back to reference Paoli C, Voyant C, Muselli M, Nivet M-L (2009) Solar radiation forecasting using Ad-Hoc time series preprocessing and neural networks. In: Huang D-S et al (eds) Emerging intelligent computing technology and applications (Lecture notes in computer science), vol 5754. Springer, Berlin, pp 898–907 Paoli C, Voyant C, Muselli M, Nivet M-L (2009) Solar radiation forecasting using Ad-Hoc time series preprocessing and neural networks. In: Huang D-S et al (eds) Emerging intelligent computing technology and applications (Lecture notes in computer science), vol 5754. Springer, Berlin, pp 898–907
50.
go back to reference Paoli C, Voyant C, Muselli M, Nivet M-L (2010) Forecasting of preprocessed daily solar radiation time series using neural networks. Solar Energy 84:2146–2160CrossRef Paoli C, Voyant C, Muselli M, Nivet M-L (2010) Forecasting of preprocessed daily solar radiation time series using neural networks. Solar Energy 84:2146–2160CrossRef
51.
go back to reference Martin L, Zarzalejo LF, Polo J, Navarro A, Marchante R, Cony M (2010) Prediction of global solar irradiance based on time series analysis: application to solar thermal power plants energy production planning. Solar Energy 84:1772–1781CrossRef Martin L, Zarzalejo LF, Polo J, Navarro A, Marchante R, Cony M (2010) Prediction of global solar irradiance based on time series analysis: application to solar thermal power plants energy production planning. Solar Energy 84:1772–1781CrossRef
52.
go back to reference Dazhi Y, Jirutitijaroen P, Walsh WM (2012) Hourly solar irradiance time series forecasting using cloud cover index. Solar Energy 86:3531–3543CrossRef Dazhi Y, Jirutitijaroen P, Walsh WM (2012) Hourly solar irradiance time series forecasting using cloud cover index. Solar Energy 86:3531–3543CrossRef
53.
go back to reference Mohandes M, Rehman S, Halawani TO (1998) Estimation of global solar radiation using artificial neural networks. Renew Energy 14:179–184CrossRef Mohandes M, Rehman S, Halawani TO (1998) Estimation of global solar radiation using artificial neural networks. Renew Energy 14:179–184CrossRef
54.
go back to reference Mohandes M, Balghonaim A, Kassas M, Rehman S, Halawani TO (2000) Use of radial basis functions for estimating monthly mean daily solar radiation. Solar Energy 68:161–168CrossRef Mohandes M, Balghonaim A, Kassas M, Rehman S, Halawani TO (2000) Use of radial basis functions for estimating monthly mean daily solar radiation. Solar Energy 68:161–168CrossRef
55.
go back to reference Mellit A, Benghanem M, Kalogirou SA (2006) An adaptive wavelet-network model for forecasting daily total solar radiation. Appl Energy 83:705–722CrossRef Mellit A, Benghanem M, Kalogirou SA (2006) An adaptive wavelet-network model for forecasting daily total solar radiation. Appl Energy 83:705–722CrossRef
56.
go back to reference Rehman S, Mohandes M (2008) Artificial neural network estimation of global solar radiation using air temperature and relative humidity. Energy Policy 36:571–576CrossRef Rehman S, Mohandes M (2008) Artificial neural network estimation of global solar radiation using air temperature and relative humidity. Energy Policy 36:571–576CrossRef
57.
go back to reference Hontoria L, Aguilera J (2001) Recurrent neural supervised models for generating solar radiation synthetic series. J Intell Robot Syst 31:201–221 Kluwer Academic PublishersCrossRefMATH Hontoria L, Aguilera J (2001) Recurrent neural supervised models for generating solar radiation synthetic series. J Intell Robot Syst 31:201–221 Kluwer Academic PublishersCrossRefMATH
58.
go back to reference Hontoria L, Aguilera J, Zufiria P (2002) Generation of hourly irradiation synthetic series using the neural network multilayer perceptron. Solar Energy 72:441–446CrossRef Hontoria L, Aguilera J, Zufiria P (2002) Generation of hourly irradiation synthetic series using the neural network multilayer perceptron. Solar Energy 72:441–446CrossRef
59.
go back to reference Hontoria L, Riesco J, Zufiria P, Aguilera J (1999) Improved generation of hourly solar irradiation artificial series using neural networks. In: Proceedings of engineering applications of neural networks, EANN99 Conference,Warsaw, Poland, 13–15 Sept 1999, pp 87–92 Hontoria L, Riesco J, Zufiria P, Aguilera J (1999) Improved generation of hourly solar irradiation artificial series using neural networks. In: Proceedings of engineering applications of neural networks, EANN99 Conference,Warsaw, Poland, 13–15 Sept 1999, pp 87–92
60.
go back to reference Sfetsos A, Coonick AH (2000) Univariate and multivariate forecasting of hourly solar radiation with artificial intelligence techniques. Solar Energy 68:169–178CrossRef Sfetsos A, Coonick AH (2000) Univariate and multivariate forecasting of hourly solar radiation with artificial intelligence techniques. Solar Energy 68:169–178CrossRef
61.
go back to reference Lopez G, Batlles FJ, Tovar-Pescador J (2005) Selection of input parameters to model direct solar irradiance by using artificial neural networks. Energy 30:1675–1684CrossRef Lopez G, Batlles FJ, Tovar-Pescador J (2005) Selection of input parameters to model direct solar irradiance by using artificial neural networks. Energy 30:1675–1684CrossRef
62.
go back to reference Wang F, Mi Z, Su S, Zhao HS (2012) Short-term solar irradiance forecasting model based on artificial neural network using statistical feature parameters. Energies 5:1355–1370CrossRef Wang F, Mi Z, Su S, Zhao HS (2012) Short-term solar irradiance forecasting model based on artificial neural network using statistical feature parameters. Energies 5:1355–1370CrossRef
63.
go back to reference Hocaoglu FO, Gerek ON, Kurban M (2008) Hourly solar radiation forecasting using optimal coefficient 2-D linear filters and feed-forward neural networks. Solar Energy 82:714–726CrossRef Hocaoglu FO, Gerek ON, Kurban M (2008) Hourly solar radiation forecasting using optimal coefficient 2-D linear filters and feed-forward neural networks. Solar Energy 82:714–726CrossRef
64.
go back to reference Zeng J, Qiao W (2011) Short-term solar power prediction using an RBF neural network. IEEE power and energy society general meeting, 24–29 July 2011, San Diego Zeng J, Qiao W (2011) Short-term solar power prediction using an RBF neural network. IEEE power and energy society general meeting, 24–29 July 2011, San Diego
65.
go back to reference Akarslan E, Hocaoglu FO, Edizkan R (2014) A novel M-D (multi-dimensional) linear prediction filter approach for hourly solar radiation forecasting. Energy 73:978–986CrossRef Akarslan E, Hocaoglu FO, Edizkan R (2014) A novel M-D (multi-dimensional) linear prediction filter approach for hourly solar radiation forecasting. Energy 73:978–986CrossRef
66.
go back to reference Lazzaroni M, Ferrari S, Piuri V, Salman A, Cristaldi L, Faifer M (2015) Models for solar radiation prediction based on different measurement sites. Measurement 63:346–363CrossRef Lazzaroni M, Ferrari S, Piuri V, Salman A, Cristaldi L, Faifer M (2015) Models for solar radiation prediction based on different measurement sites. Measurement 63:346–363CrossRef
67.
go back to reference Saad Saoud L, Rahmoune F, Tourtchine V, Baddari K (2014) Prediction of the daily global solar irradiation of the great Maghreb region using the complex-valued neural networks. Revue des Energies Renouvelables 17(1):173–185MATH Saad Saoud L, Rahmoune F, Tourtchine V, Baddari K (2014) Prediction of the daily global solar irradiation of the great Maghreb region using the complex-valued neural networks. Revue des Energies Renouvelables 17(1):173–185MATH
68.
go back to reference Saad Saoud L, Rahmoune F, Tourtchine V, Baddari K (2014) Complex-valued wavelet neural network prediction of the daily global solar irradiation of the Great Maghreb Region. 13th international conference on clean energy, June 8–12, 2014, Istanbul, pp 1572–1584 Saad Saoud L, Rahmoune F, Tourtchine V, Baddari K (2014) Complex-valued wavelet neural network prediction of the daily global solar irradiation of the Great Maghreb Region. 13th international conference on clean energy, June 8–12, 2014, Istanbul, pp 1572–1584
69.
go back to reference Mihalakakou G, Santamouris M, Asimakopoulos DN (2000) The total solar radiation time series simulation in Athens, using neural networks. Theor Appl Climatol 66:185–197CrossRef Mihalakakou G, Santamouris M, Asimakopoulos DN (2000) The total solar radiation time series simulation in Athens, using neural networks. Theor Appl Climatol 66:185–197CrossRef
70.
go back to reference Boland J (2008) Time series modelling of solar radiation. In: Badescu V (ed) Modeling solar radiation at the earth’s surface. Springer, Berlin, pp 283–312CrossRef Boland J (2008) Time series modelling of solar radiation. In: Badescu V (ed) Modeling solar radiation at the earth’s surface. Springer, Berlin, pp 283–312CrossRef
71.
go back to reference Tymvios FS, Michaelides SChr, Skouteli CS (2008) Estimation of surface solar radiation with artificial neural networks. In: Badescu V (ed) Modeling solar radiation at the earth’s surface, pp 221–256 Tymvios FS, Michaelides SChr, Skouteli CS (2008) Estimation of surface solar radiation with artificial neural networks. In: Badescu V (ed) Modeling solar radiation at the earth’s surface, pp 221–256
72.
go back to reference Kalogirou SA (2007) Artificial intelligence in energy and renewable energy systems. Nova Science Publishers, New York Kalogirou SA (2007) Artificial intelligence in energy and renewable energy systems. Nova Science Publishers, New York
73.
go back to reference Elizondo D, Hoogenboom G, McClendon R (1994) Development of a neural network to predict daily solar radiation. Agric For Meteorol 71:115–132CrossRef Elizondo D, Hoogenboom G, McClendon R (1994) Development of a neural network to predict daily solar radiation. Agric For Meteorol 71:115–132CrossRef
74.
go back to reference Kemmoku Y, Orita S, Nakagawa S, Sakakibara T (1999) Daily insolation forecasting using a multistage neural network. Solar Energy 66:193–199CrossRef Kemmoku Y, Orita S, Nakagawa S, Sakakibara T (1999) Daily insolation forecasting using a multistage neural network. Solar Energy 66:193–199CrossRef
75.
go back to reference Siqueira AN, Tiba C, Fraidenraich N (2009) Spatial interpolation of daily solar irradiation, through artificial neural networks. In: Proceedings of ISES world congress 2007, vol I–V, pp 2573–2577 Siqueira AN, Tiba C, Fraidenraich N (2009) Spatial interpolation of daily solar irradiation, through artificial neural networks. In: Proceedings of ISES world congress 2007, vol I–V, pp 2573–2577
76.
go back to reference Zervas PL, Sarimveis H, Palyvos JA, Markatos NCG (2008) Prediction of daily global solar irradiance on horizontal surfaces based on neural-network techniques. Renew Energy 33:1796–1803CrossRef Zervas PL, Sarimveis H, Palyvos JA, Markatos NCG (2008) Prediction of daily global solar irradiance on horizontal surfaces based on neural-network techniques. Renew Energy 33:1796–1803CrossRef
77.
go back to reference Santamouris M, Mihalakakou G, Psiloglou B, Eftaxias G, Asimakopoulos DN (1999) Modeling the global solar radiation on the earth surface using atmospheric deterministic and intelligent data driven techniques. J Clim 12:3105–3116CrossRef Santamouris M, Mihalakakou G, Psiloglou B, Eftaxias G, Asimakopoulos DN (1999) Modeling the global solar radiation on the earth surface using atmospheric deterministic and intelligent data driven techniques. J Clim 12:3105–3116CrossRef
78.
go back to reference Dorvlo A, Jervase JA, Al-Lawati A (2002) Solar radiation estimation using artificial neural networks. Appl Energy 71:307–319CrossRef Dorvlo A, Jervase JA, Al-Lawati A (2002) Solar radiation estimation using artificial neural networks. Appl Energy 71:307–319CrossRef
79.
go back to reference El-Sebaii AA, Al-Hazmi FS, Al-Ghamdi AA, Yaghmour SJ (2010) Global, direct and diffuse solar radiation on horizontal and tilted surfaces in Jeddah, Saudi Arabia. Appl Energy 87:568–576CrossRef El-Sebaii AA, Al-Hazmi FS, Al-Ghamdi AA, Yaghmour SJ (2010) Global, direct and diffuse solar radiation on horizontal and tilted surfaces in Jeddah, Saudi Arabia. Appl Energy 87:568–576CrossRef
80.
go back to reference Chen C, Duan S, Cai Ta, Liu B (2011) Online 24-h solar power forecasting based on weather type classification using artificial neural network. Solar Energy 85:2856–2870CrossRef Chen C, Duan S, Cai Ta, Liu B (2011) Online 24-h solar power forecasting based on weather type classification using artificial neural network. Solar Energy 85:2856–2870CrossRef
81.
go back to reference Notton G, Paoli C, Vasileva S, Nivet ML, Canaletti J-L, Cristofari C (2012) Estimation of hourly global solar irradiation on tilted planes from horizontal one using artificial neural networks. Energy 39:166–179CrossRef Notton G, Paoli C, Vasileva S, Nivet ML, Canaletti J-L, Cristofari C (2012) Estimation of hourly global solar irradiation on tilted planes from horizontal one using artificial neural networks. Energy 39:166–179CrossRef
82.
go back to reference Saad Saoud L, Rahmoune F, Tourtchine V, Baddari K (2014) Short term forecasting of the global solar irradiation using the fuzzy modeling technique: case study of Tamanrasset city, Algeria. In: Proceeding of 13th international conference on clean energy (ICCE-2014), 8–12 June 2014, Istanbul, pp 1585–1590 Saad Saoud L, Rahmoune F, Tourtchine V, Baddari K (2014) Short term forecasting of the global solar irradiation using the fuzzy modeling technique: case study of Tamanrasset city, Algeria. In: Proceeding of 13th international conference on clean energy (ICCE-2014), 8–12 June 2014, Istanbul, pp 1585–1590
83.
go back to reference Winslow JC, Raymond Hunt E Jr, Piper SC (2001) A globally applicable model of daily solar irradiance estimated from air temperature and precipitation data. Ecol Model 143:227–243CrossRef Winslow JC, Raymond Hunt E Jr, Piper SC (2001) A globally applicable model of daily solar irradiance estimated from air temperature and precipitation data. Ecol Model 143:227–243CrossRef
84.
go back to reference Georgiou GM, Koutsougeras C (1992) Complex domain backpropagation. IEEE Trans Circuits Syst II 39:330–334CrossRefMATH Georgiou GM, Koutsougeras C (1992) Complex domain backpropagation. IEEE Trans Circuits Syst II 39:330–334CrossRefMATH
85.
go back to reference Kim T, Adali T (2001) Complex backpropagation neural network using elementary transcendental activation functions. In: IEEE Proceedings of the international conference on acoustics, speech, and signal processing, (ICASSP ’01), 07 May 2001–11 May 2001, Salt Lake City, pp 1281–1284 Kim T, Adali T (2001) Complex backpropagation neural network using elementary transcendental activation functions. In: IEEE Proceedings of the international conference on acoustics, speech, and signal processing, (ICASSP ’01), 07 May 2001–11 May 2001, Salt Lake City, pp 1281–1284
86.
go back to reference Huang S-C (2011) Forecasting stock indices with wavelet domain kernel partial least square regressions. Appl Soft Comput 11:5433–5443CrossRef Huang S-C (2011) Forecasting stock indices with wavelet domain kernel partial least square regressions. Appl Soft Comput 11:5433–5443CrossRef
87.
go back to reference Banakar A, Azeem MF (2008) Artificial wavelet neural network and its application in neuro-fuzzy models. Appl Soft Comput 8:1463–1485CrossRefMATH Banakar A, Azeem MF (2008) Artificial wavelet neural network and its application in neuro-fuzzy models. Appl Soft Comput 8:1463–1485CrossRefMATH
88.
go back to reference Biswal B, Dash PK, Panigrahi BK, Reddy JBV (2009) Power signal classification using dynamic wavelet network. Appl Soft Comput 9:118–125CrossRef Biswal B, Dash PK, Panigrahi BK, Reddy JBV (2009) Power signal classification using dynamic wavelet network. Appl Soft Comput 9:118–125CrossRef
89.
go back to reference Zainuddin Z, Pauline Ong (2011) Modified wavelet neural network in function approximation and its application in prediction of time-series pollution data. Appl Soft Comput 11:4866–4874CrossRef Zainuddin Z, Pauline Ong (2011) Modified wavelet neural network in function approximation and its application in prediction of time-series pollution data. Appl Soft Comput 11:4866–4874CrossRef
90.
go back to reference Banakar A, Azeem MF (2012) Local recurrent sigmoidal-wavelet neurons in feed-forward neural network for forecasting of dynamic systems: Theory. Appl Soft Comput 12:1187–1200CrossRef Banakar A, Azeem MF (2012) Local recurrent sigmoidal-wavelet neurons in feed-forward neural network for forecasting of dynamic systems: Theory. Appl Soft Comput 12:1187–1200CrossRef
91.
go back to reference Hsu CF (2013) A self-evolving functional-linked wavelet neural network for control applications. Appl Soft Comput 13:4392–4402CrossRef Hsu CF (2013) A self-evolving functional-linked wavelet neural network for control applications. Appl Soft Comput 13:4392–4402CrossRef
92.
go back to reference Tofighi M, Alizadeh M, Ganjefar S, Alizadeh M (2015) Direct adaptive power system stabilizer design using fuzzy wavelet neural network with self-recurrent consequent part. Appl Soft Comput 28:514–526CrossRef Tofighi M, Alizadeh M, Ganjefar S, Alizadeh M (2015) Direct adaptive power system stabilizer design using fuzzy wavelet neural network with self-recurrent consequent part. Appl Soft Comput 28:514–526CrossRef
93.
go back to reference Dehghan SAM, Danesh M, Sheikholeslam F, Zekri M (2015) Adaptive force-environment estimator for manipulators based on adaptive wavelet neural network. Appl Soft Comput 28:527–540CrossRef Dehghan SAM, Danesh M, Sheikholeslam F, Zekri M (2015) Adaptive force-environment estimator for manipulators based on adaptive wavelet neural network. Appl Soft Comput 28:527–540CrossRef
94.
go back to reference Chuang LZH, Wu LC, Doong DJ, Kao CC (2008) Two-dimensional continuous wavelet transform of simulated spatial images of waves on a slowly varying topography. Ocean Eng 35:1039–1051CrossRef Chuang LZH, Wu LC, Doong DJ, Kao CC (2008) Two-dimensional continuous wavelet transform of simulated spatial images of waves on a slowly varying topography. Ocean Eng 35:1039–1051CrossRef
95.
go back to reference Hirose A (1992) Continuous complex-valued backpropagation learning. Electron Lett 28(20):1854–1855CrossRef Hirose A (1992) Continuous complex-valued backpropagation learning. Electron Lett 28(20):1854–1855CrossRef
96.
go back to reference Benvenuto N, Piazza F (1992) On the complex backpropagation algorithm. IEEE Trans Signal Process 40:967–969CrossRef Benvenuto N, Piazza F (1992) On the complex backpropagation algorithm. IEEE Trans Signal Process 40:967–969CrossRef
97.
go back to reference Nitta T (1997) An extension of the back-propagation algorithm to complex numbers. Neural Netw 10(8):1391–1415CrossRef Nitta T (1997) An extension of the back-propagation algorithm to complex numbers. Neural Netw 10(8):1391–1415CrossRef
98.
go back to reference Hanna AI, Mandic DP (2003) A fully adaptive normalized nonlinear gradient descent algorithm for complex-valued nonlinear adaptive filters. IEEE Trans Signal Process 51(10):2540–2549MathSciNetCrossRef Hanna AI, Mandic DP (2003) A fully adaptive normalized nonlinear gradient descent algorithm for complex-valued nonlinear adaptive filters. IEEE Trans Signal Process 51(10):2540–2549MathSciNetCrossRef
99.
go back to reference Zimmermann HG, Minin A, Kusherbaeva V (2011) Comparison of the complex valued and real valued neural networks trained with gradient descent and random search algorithms. In: ESANN 2011 proceedings, European symposium on artificial neural networks, computational intelligence and machine learning. Bruges (Belgium) 27–29 April 2011, pp 213–218 Zimmermann HG, Minin A, Kusherbaeva V (2011) Comparison of the complex valued and real valued neural networks trained with gradient descent and random search algorithms. In: ESANN 2011 proceedings, European symposium on artificial neural networks, computational intelligence and machine learning. Bruges (Belgium) 27–29 April 2011, pp 213–218
100.
go back to reference Ramaswamy S, Suresh S, Sundararajan N (2009) A fully complex-valued radial basis function network and its learning algorithm. Int J Neural Syst 19(04):253–267CrossRef Ramaswamy S, Suresh S, Sundararajan N (2009) A fully complex-valued radial basis function network and its learning algorithm. Int J Neural Syst 19(04):253–267CrossRef
101.
go back to reference Murphy AH (1988) Skill scores based on the mean square error and their relationships to the correlation coefficient. Mon Weather Rev 116:2417–2424MathSciNetCrossRef Murphy AH (1988) Skill scores based on the mean square error and their relationships to the correlation coefficient. Mon Weather Rev 116:2417–2424MathSciNetCrossRef
102.
go back to reference Sideratos G, Hatziargyriou ND (2007) An advanced statistical method for wind power forecasting. IEEE Trans Power Syst 22(1):258–265CrossRef Sideratos G, Hatziargyriou ND (2007) An advanced statistical method for wind power forecasting. IEEE Trans Power Syst 22(1):258–265CrossRef
103.
go back to reference Lipperheide M, Bosch JL, Kleissl J (2015) Embedded nowcasting method using cloud speed persistence for a photovoltaic power plant. Solar Energy 112:232–238CrossRef Lipperheide M, Bosch JL, Kleissl J (2015) Embedded nowcasting method using cloud speed persistence for a photovoltaic power plant. Solar Energy 112:232–238CrossRef
104.
go back to reference Nielsen TS, Joensen A, Madsen H, Landberg L, Giebel G (1998) A new reference for wind power forecasting. Wind Energy 1:29–34CrossRef Nielsen TS, Joensen A, Madsen H, Landberg L, Giebel G (1998) A new reference for wind power forecasting. Wind Energy 1:29–34CrossRef
Metadata
Title
Fully Complex Valued Wavelet Network for Forecasting the Global Solar Irradiation
Authors
L. Saad Saoud
F. Rahmoune
V. Tourtchine
K. Baddari
Publication date
18-07-2016
Publisher
Springer US
Published in
Neural Processing Letters / Issue 2/2017
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-016-9537-7

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