EstimatingSolarInsolationandPowerGenerationofPhotovoltaic .

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HindawiAdvances in Civil EngineeringVolume 2020, Article ID 8701368, 13 pageshttps://doi.org/10.1155/2020/8701368Research ArticleEstimating Solar Insolation and Power Generation of PhotovoltaicSystems Using Previous Day Weather DataMin Hee ChungSchool of Architecture and Building Science, Chung-Ang University, Seoul 06974, Republic of KoreaCorrespondence should be addressed to Min Hee Chung; mhloveu@cau.ac.krReceived 22 October 2019; Revised 2 January 2020; Accepted 16 January 2020; Published 18 February 2020Academic Editor: Emanuele BrunesiCopyright 2020 Min Hee Chung. This is an open access article distributed under the Creative Commons Attribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.Day-ahead predictions of solar insolation are useful for forecasting the energy production of photovoltaic (PV) systems attachedto buildings, and accurate forecasts are essential for operational efficiency and trading markets. In this study, a multilayer feedforward neural network-based model that predicts the next day’s solar insolation by taking into consideration the weatherconditions of the present day was proposed. The proposed insolation model was employed to estimate the energy production of areal PV system located in South Korea. Validation research was performed by comparing the model’s estimated energy productionwith the measured energy production data collected during the PV system operation. The accuracy indices for the optimal model,which included the root mean squared error, mean bias error, and mean absolute error, were 1.43 kWh/m2/day, 0.09 kWh/m2/day, and 1.15 kWh/m2/day, respectively. These values indicate that the proposed model is capable of producing reasonableinsolation predictions; however, additional work is needed to achieve accurate estimates for energy trading.1. IntroductionElectricity consumption has been rapidly increasing aroundthe world despite efforts to improve energy conservation. In2013, in Korea, the electricity consumption in the commercialand public sectors increased by 10% to 65.8% compared tovalues in 2001. Moreover, the electrification of energy consumption has further intensified [1]. Since natural gas andelectricity have emerged as primary energy sources in thehousehold sector, this share of electricity consumption hasbeen steadily increasing. This is because households preferclean energy sources to maintain comfort and the convenienceof living. The Korean government is promoting buildings inwhich renewable energy systems are used, to save on primaryenergy consumption and to realize energy independence.Solar energy is known to be a good substitute for fossilfuels, which currently account for more than 80% of theprimary energy supply [2]. Photovoltaic (PV) systems are themost suitable replacements for fossil fuels because they do notproduce CO2 emissions and do not pose the same risks asthose associated with other alternative energy supplies such asnuclear power generation. It may be more desirable to installPV systems in the city rather than in the rural or forested areasbecause of land conservation concerns. Indeed, PV systemsare more likely than other types of renewable energy systems,to be constructed in urban built environments.The Korean government intends to introduce a smartgrid to promote the embracement of renewable energy [3].As part of these efforts, the government announced a secondbasic plan for an intelligent power grid in 2018. Accordingly,the government has set up policies on smart grid complexconstruction, infrastructure, and facility expansion. It wasreported that, in 2019, a distributed energy resource marketwould be allowed in Korea. As a result, significant changesare expected in the electric trading market, which has beenfocused on centralized power generation companies. Theexpansion of distributed generation will accelerate directenergy trading among individuals and groups that canproduce and consume energy simultaneously [3, 4]. Suchpeer-to-peer (P2P) energy trading has been demonstrated invarious forms in the United States, United Kingdom,Netherlands, and Germany [5–7]. P2P energy trading isbeneficial because it reduces the need for expensive andinefficient energy transportation with substantial losses [8],

2thus improving the reliability of energy supply [9] and alleviating transmission and distribution congestion problems[10]. Forecasting solar insolation in advance is essential inthe management of the PV system’s generated output in adistributed grid. It is necessary to provide information onthe energy production through the system to the prosumer,who conducts the small-scale electricity trading as a weatherforecast in advance. Time-based predictions may need to beprovided according to the individual’s characteristics.However, it is necessary to provide daily production forecastinformation to a large number of prosumers. In small-scaleenergy trading, the provision of daily energy productionforecast information is more effective than providing detailed hourly energy generation forecast information. Dailyenergy production by PV systems can be predicted simplybased on daily irradiation.Many researchers are presently directing their efforts onsolar insolation forecasting techniques. Soares et al. [11]examined the intrahour solar insolation predictions basedon hourly weather data for a period of 4 years. They estimated the hourly values of the diffuse solar radiation byusing multilayer perceptron neural networks. However,their model could not reflect the present-day weatherchange. Mathiesen and Kleissl [12] compared five forecasting models for the intraday solar insolation by usingground-based weather measurement data, and these effortsresulted in the production of an accurate database to validatenumerical weather predictions. The accuracy of each modelin predicting insolation varied in accordance with theweather conditions. However, it was difficult to considermultiple models simultaneously. Sun et al. [13] proposed arandom forest algorithm for estimating the daily solar radiation based on meteorological data, solar radiation, andthree air pollution indexes for SO2, NO2, and PM10. Theyoptimized the proposed estimation model depending on theinput variables. In a city with a high degree of air pollution,this model can be used to estimate the exact amount of solarradiation; however, the number of input variables increases.Sharma and Kakkar [14] also proposed an hourly global solarirradiance model for different forecasting horizons rangingfrom a few hours ahead to 48 hours ahead by using machinelearning. The model with 1 hour ahead predictions was themost accurate; however, there was not enough time toprovide information to users. Gutierrez-Corea et al. [15]modeled the spatial-temporal short-term global solar insolation by using artificial neural networks. This model gaveaccurate data predictions over time but increased thecomplexity of the prediction model with more than 900input parameters. Huang and Davy [16] proposed a linearregression model for the intrahour solar irradiance that usesthe hourly clear sky index and geopotential thickness. Themodel predicted hourly solar irradiance only for summer.Therefore, there were limitations in applying this model toother seasons. Vakili et al. [17] designed a prediction modelfor the total daily solar insolation for Iran by using amultilayer perceptron artificial neural network. The limitation of this model was that the solar insolation was estimated based on the weather observation information, ratherthan the future value. Qing and Niu [18] presented a novelAdvances in Civil Engineeringsolar irradiance prediction method for hourly day-aheadforecasts by using hourly weather forecast data. The proposed model contained structured long- and short-termmemory networks, and it was compared with other algorithms. By using weather forecasting data as input variables,it is possible to reflect the change in solar radiation in accordance with the weather changes. However, the accuracyof the solar radiation prediction changes based on theprediction accuracy of the weather forecast data. Amroucheand Le Pivert [19] proposed a solar radiation forecastingmodel using artificial neural networks (ANNs) and specialmodelling. In cases where there were no meteorological datafrom the predicted area, the solar radiation was estimatedusing meteorological data from the nearby areas. This modelpredicted daily values, which were used to estimate powergeneration by PV systems. Long et al. [20] proposed aprediction model for the daily PV energy production bymeteorological parameters. The efficiency of the predictionalgorithm was improved by classifying the weather databased on importance and with reduced input variables usedas input data.The prediction accuracy varied in accordance with theaccuracy of the weather forecasts. In addition, there havebeen many studies on various solar insolation predictionmodels with different prediction horizons and differentprediction methods. The previous solar forecasting modelsmade predictions based on the time or day. However, a largeamount of input data was needed for accuracy within thepredicted time scale. The limitation of the prediction modelis that the training and prediction time increases as thenumber of input variables increases. This study aims todevelop a simple solar insolation prediction model by usingfewer weather data variables, which make it easy to acquireinformation. Typically, weather forecast data may be used topredict the next day’s solar insolation. However, predictingthe next day’s solar insolation using weather forecast data ischaracterized by a lot of uncertainty due to the uncertaintyin the weather forecast data.The objective of this paper is to propose a simple prediction model for day-ahead solar insolation using weatherobservation data. The predicted solar insolation would beused for estimating energy production in advance. The estimated energy production would give information for thedetermination of optimal operating conditions, such as selfconsumption or feed-in into the grid mode for PV systemslocated in a distributed grid. The day-ahead solar insolationprediction model forecasts the solar radiation of the next daybased on the weather data of the current day. It is assumedthat the predicted model cannot be applied to systems installed in a specific condition; however, it can predict information applicable to a wide range of conditions.Therefore, the weather difference due to the differences inthe meteorological observation site and the installation location of the PV system was ignored. The input variables usemeteorological data that can be easily obtained from themeteorological administration. The prediction model couldprovide building users with useful information to plan theirenergy use in advance. This paper is organized as follows. InSection 2, the data used for training and checking the

Advances in Civil Engineeringprediction model are described. Section 3 explains theprediction model and the verification method. The measuredenergy production for a PV system located in South Koreawas compared to the energy production prediction obtainedthrough the solar insolation prediction model. Section 4presents the results, and Section 5 presents the conclusions.2. Meteorological DataThe meteorological data used in this study were provided bythe Korea Meteorological Administration. Ground observations were carried out by manual and automatic observations for the automated synoptic observing system. Thetemperature, humidity, wind direction, wind velocity, airpressure, precipitation, sunshine, solar radiation, surfacetemperature, grass temperature, and ground temperaturewere automatically obtained by the use of synoptic weatherobservation equipment, which report atmospheric conditions near the ground in real-time. Snowfall, clouds, andother daily phenomena were observed manually every houror every three hours.The air temperature, which varied with the measuredheight, was measured at a height of about 1.2 to 1.5 m abovethe ground. The wind direction was represented by a vectorquantity with a direction and magnitude. However, since thehorizontal component was much larger than the verticalcomponent, generally only the horizontal component wasobserved. Air flow at a height of 10 m from the ground wasalso observed. Precipitation refers to rain, snow, and hail,i.e., liquid and solid precipitation. In the case of solidprecipitation, the depth of the precipitation was measured.Solar insolation was automatically observed by a pyranometer every hour. Data on sunshine hours and sunshineduration were collected. These data were then used tocompute the continued sunshine duration, which is ameasure of the duration of continuous reflection of sunshineon the ground surface without blockage by clouds or fog.Clouds were manually observed in terms of their shape,height, and cover. Other meteorological phenomena such asthe visibility, ground surface, minimum grass surface, andground temperatures were observed. The solar insolationwas determined by the Sun’s altitude and azimuth withrespect to the season and time. However, the solar insolationreaching the Earth’s surface varied depending on the atmospheric weather conditions.The weather data for the prediction model were recordedin Seoul, South Korea, and the station specifications aregiven in Table 1. The dataset collection period lasted for 4years (2014–2017). Data that had some elements missingwere excluded from the dataset. The dataset was divided intotraining and testing datasets. For the training dataset, dataranging from 2014 to 2016 were used. For testing, the 2017data were used. The total training and testing datasetsconsisted of 1084 and 357 days, respectively. The variableswere selected based on the results of a previous study [21],which analyzed the correlation between solar insolation andweather data. Temperature, humidity, precipitation, precipitation duration, wind speed, sunshine duration, continued sunshine duration, and cloud cover were selected as3Table 1: Station tionClimate typeObserved periodSpecificationSeoul, South Korea37.5714 N126.9658 E85.67 mHumid continental2014–2017initial input variables that could affect the solar radiation, asdepicted in Table 2. Visibility can especially be influenced byaerosols in the air. According to Chung [22], there is a lowcorrelation between the ratio of the horizontal global radiation to the extraterrestrial radiation and particulatematter in Korea. In this study, the effects of wind direction,cloud shapes, heights of clouds, visibility, ground temperatures, and surface ground temperature were excluded.In the next step, all the data were normalized to a scalebetween zero and one based on equation (1); normalizationof the input reduces estimation errors and makes learningfast and efficient [23]:xi MIN(x)yi (1),MAX(x) MIN(x)where xi is the observed data at time i, yi is the normalizeddata at time i, and MIN(x) and MAX(x) are the minimumand maximum values during the observation period,respectively.3. Model Methods and Evaluation IndicesA forecast model based on the weather data is presented inthis section, along with the model verification procedures.The solar insolation presented through the predictive modelis the value of the horizontal plane insolation; therefore, theinsolation on the inclined PV module is calculated. Thissolar insolation of the inclined plane will be used to calculatethe energy output of the PV system and compare it with theenergy output of the PV system being monitored. Finally, theerror verification method used in this paper is presented.3.1. Forecast Method. This study used a type of artificialneural network (ANN) architecture known as a multilayerfeed-forward neural network (MLF) for the modelling. Themultilayer feed-forward neural network is also referred to asa multilayer perceptron (MLP). This model is similar to thepersistence model in that the previous day’s data are used asthe input variables. The persistence model assumes that theconditions are unchanged between the current time and thefuture time [24]. However, because the sun’s position andweather conditions change from day to day, it cannot beassumed that data on weather conditions are the same asthose of the previous day. In particular, it is difficult to applya persistence model in the case of a 1-day forecast horizon.For ANN models, the magnitudes of weights and biases arechanged in a time series, which makes them more appropriate [25]. Diagne et al. suggested an appropriate model by

4Advances in Civil EngineeringTable 2: The weather variables at initial time.VariablesLowest temperature (Tlow, C)Highest temperature (Thigh, C)Precipitation (PR, mm)Precipitation duration (PD, hr)Minimum humidity (RH, %)Daily wind speed (DWS, m/s)Sunshine duration (SD, hr)Continued sunshine duration (CSD, hr)Cloud cover (CC, )Min 18.0 recasting the horizon [26]. The persistence model is appropriate when the forecasting horizon is within an hour,but the ANN model is suitable when the forecasting horizonis longer than an hour. Trained with a backpropagationlearning algorithm, MLF is one of the most popular types ofANN architectures used to forecast solar insolation[15, 27–30]. The MLF was implemented in MATLAB. TheMLF consists of activation functions, bias, and neurons [31].The neurons were ordered into input and hidden and outputlayers, as shown in Figure 1. The number of hidden layers(NHLs) was set to be between 1 and 5. This was done becausethe forecast model was supposed to forecast the output ofnonlinear relationships between input data. Moreover, themodel was complicated. The range of the number of hiddenneurons was determined by the initial number of hiddenneurons, which was calculated based on equation (2) byusing the number of input neurons [32]. Each layer consistsof the same number of neurons:NHN 2NIN 1,3.2. Insolation on an Inclined Plane. The inclined insolationwas calculated by Lid and Jordan’s equation [37]:HKT Ho24360n· I 1 0.033 cos π sc365· cos ϕ cos δ sin ωs πωssin ϕ sin δ ,18023SINInput layer(3)One or more hidden layerOutput layerFigure 1: MLF architecture.Table 3: Training parameters.ParametersMaximum number of epochs to trainPerformance goalMinimum performance gradientInitial muMaximum muMaximum validation failuresEpochs between displaysValue10000.011e 70.0011e 10650where Isc is the solar constant (1367 W/m2), n is the daynumber of year, ϕ is the latitude, δ is the solar declination, andωs is the sunset hour angle. The values of δ and ωs can beapproximately expressed by equations (4) and (5), respectively:(2)where NHN is the number of hidden neurons and NIN is thenumber of input neurons.The Levenberg–Marquardt method for training was usedin this study. The Levenberg–Marquardt method is the mostrepresentative method for solving nonlinear least squaresproblems [33, 34]. The sliding-window method that providesa higher accuracy was used for controlling the trainingdataset [32, 35, 36].The initial input variables were obtained by predicting thesolar radiation using the nine input variables presented in theprevious study and then refining the predicted values byadjusting the number of input variables. This prediction prevented a fitting problem by using normalized data and dropout method. The training parameters are as shown in Table 3.Ho 1δ 23.45 sin 360(n 284) ,365ωs arccos( tan δ tan ϕ).(4)(5)The daily solar insolation on an inclined plane, Ht , canbe expressed asHt R · H,(6)where R is defined to be the ratio of the daily mean insolationon an inclined plane to the mean insolation in a horizontalplane.R 1 Hd1 cos(s)1 cos(s) R Hd ρ ,H b2Hd(7)where Rb is the ratio of the average beam insolation on theinclined plane to t

However, predicting the next day’s solar insolation using weather forecast data is characterized by a lot of uncertainty due to the uncertainty in the weather forecast data. e objective of this paper is to propose a simple pre-diction model for day-ahead solar insolation using weather observation data. e predicted solar insolation would be

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