Inter national J our nal of P o wer Electr onics and Dri v e Systems (IJPEDS) V ol. 8, No. 4, December 2017, pp. 1830 1840 ISSN: 2088-8694 1830 Contr ol Strategy of a Grid-connected Photo v oltaic with Battery Ener gy Storage System f or Hourly P o wer Dispatch Mohd Afifi J usoh and Muhamad Zalani Daud School of Ocean Engineering, Uni v ersiti Malaysia T erengg anu, Meng abang T elipot, 21030 K uala Nerus, T erengg anu, Malaysia Article Inf o Article history: Recei v ed Jun 11, 2017 Re vised Oct 16, 2017 Accepted Oct 28, 2017 K eyw ord: Photo v oltaic Po wer fluctuation Battery ener gy storage Control scheme Hourly dispatch ABSTRA CT The high penetration of fluctuated photo v oltaic (PV) output po wer into utility grid system will af fect the operation of interconnected grids. The unnecessary output po wer fluctuation of PV system is contrib uted by unpredictable nature and inconsistenc y of solar irr adiance and temperature. This paper presents a control scheme to mitig ate the output po wer fluctuations from PV system and dispatch out the constant po wer on an hourly basis to the utility grid. In this re g ards, battery ener gy storage (BES) system is used to eliminate the output po wer fluctuation. Control scheme is proposed to maintain parameters of BES within required operating constraints. The ef fecti v eness of the proposed control scheme is tested using historical PV system input data obtained from a site in Malaysia. The simulation results sho w that the proposed control scheme of BES system can properly manage the output po wer fluctuations of the PV sources by dispatching the output on hourly basis to the utility grid while meeting all required operating constraints. Copyright © 2017 Insitute of Advanced Engineeering and Science . All rights r eserved. Corresponding A uthor: Muhamad Zalani Daud School of Ocean Engineering, Uni v ersiti Malaysia T erengg anu Meng abang T elipot,21030 K uala Nerus, T erengg anu Malaysia Email: zalani@umt.edu.my 1. INTR ODUCTION In recent years, grid-connected photo v oltaic (PV) system is seen to enjo y the most rapid gro wth among the v arious rene w able ener gy sources. Unfortunately , the output po wer from the PV system is generally unsta- ble and unpredic table because of intermittent and uncertain characteristics of solar irradiance and temperature [1]. High penetrati on of fluctuated PV output po wer into the utility grid system will af fect operation of inter - connected grids [2]. Some approaches may be required to compensate the output po wer fluctuations in order to ha v e a more reliable po wer system. Recent adv ances in the prediction methods enable the solar radiation profile to be forecasted with acceptable precis ion [3]. Estimating solar radiation is essential in order to generate a consistent output po wer of PV system. There are man y prediction models for prediction of solar radiation such as artificial neural netw ork (ANN)-based model, fuzzy logic control-based model, angstrom model, empirical re gression model and empirical coef ficient model [3]. Se v eral researchers ha v e claimed that the accurac y of the forecast model can be achie v ed up to 90% of the rated resource capacity [4, 5]. Accurate information from prediction model may be used as a reference in mitig ating output po wer fluctuation of PV sources. In po wer system applications, ener gy storage system (ESS) is ackno wledged as one of the best al- ternati v e techniques to mitig ate the PV output po wer fluctuations and PV output po wer prediction errors [1]. V arious benefits of using ESS in grid-connected PV system application are discussed in [6]. Among the v arious of ESS technologies capable of mitig ating the fluctuating and unpredictable output po wer of the PV systems are J ournal Homepage: http://iaesjournal.com/online/inde x.php/IJPEDS DOI:  10.11591/ijpeds.v8i4.pp1830-1840 Evaluation Warning : The document was created with Spire.PDF for Python.
IJPEDS ISSN: 2088-8694 1831 pumped h ydro storage (PHS), compressed air ener gy storage (CAES), flywheel ener gy storage (FES), super - conducting magnetic ener gy storage (SMES), supercapacitors (SC) and battery ener gy storage (BES) system. From the literature, it has been found that BES is the most cost-ef fecti v e option for fluctuation mitig ation purposes compared to other technologies [7]. BES is also kno wn as elect rochemical ener gy storage system that may be chosen from man y di f fer - ent types depending on the v arying po wer application needs such as lead acid (LA), v alv e re gulated lead acid (VRLA), Nick el-cadmium (NiCd), Lithium-ion (Li-ion), sodium sulfur (N AS) and v anadium redox (VRB) bat- teries [1]. The adv antages and disadv antages of each of the batteries are discussed in [6]. From the literature, there are v arious applications of BES in grid syst em in performing important task of po wer fluctuation miti- g ation and output po wer dispatch [8, 9, 10, 11, 12]. Daud et al. [8] proposed an optimal controller of BES to smooth the output po wer fluctuation from the PV sources. The control system used the forecasted output po wer of PV system as a dispatching reference. The controller re gulate the SOC of battery according to the desired operational constraints and the output po wer of PV system is dispatched to the grid system on hourly basis. T o optimize the controller , heuristic optimization is used to obtain the optimal parameters. The o v erall ef ficienc y of the controller is reported as 82% [8]. Consequently , a control scheme based on the rules has been proposed in [9]. The rules in the control scheme are b uild based on the desired operational constraints of BES such as state of char ge (SOC) limits, char ge/dischar ge current li mits, and lifetime. The control scheme ef fecti v ely smooth out the output po wer of PV system and dispatch out the po wer to grid system in hourly basis. Author in [13] proposed a coordinated control scheme to reduce the impacts of wind po wer forecast errors while pro- longing the lifetime of BES. The ener gy capacity determination method from the hist orical data is proposed in this w ork. The control scheme used forecasted output po wer data to impro v e the dispatchability of wind po wer generation. In [10], fuzzy-based smoothing control scheme has been presented. The fuzzy w a v elet filtering method is used to smoothing the fluctuate output of wind and PV systems. Authors in [11] de v eloped adapti v e control of BES and UC for smoothing output po wer of PV system. The proposed adapti v e fuzzy-based control scheme manages the po wer sharing between BES and UC based on the operational constraints of BES and UC in order to sustain the system operation. Similarly , an HES system composed of Li-ion batteries and UC has been proposed in [12]. A multimode fuzzy logic-based allocator has been designed to ensure the BES and UC can be ef ficiently utilized as well as pre v enting from w orking under e xtreme conditions. Since the cost of the lar ge scale BES is e xpensi v e, the ener gy of the BES should be optimally con- trolled particularly in the BES application for po wer fluctuation mitig ation of PV sources. The optimal con- troller of BES can reduce the maintenance cost and increase the lifetime of the BES while pro viding the contin- uous support for po wer fluctuation mitig ation. This paper presents an optimal control scheme of grid-connected PV -BES system. The objecti v e of the paper is to design an optimal controller of grid-connected PV -BES system so that the total output of the system can be smoothed out and dispatched on an hourly basis to the utility grid. The follo wing sections of the paper comprises of the details of proposed BES control scheme, the description of modelling and simulation of PV -BES system, results and discussion, follo wed by the conclusion. 2. PR OPOSED BES CONTR OL SCHEME Inte grating BES with grid-connected PV system will reduce the output po wer fluctuation and di spatch out the output po wer of PV system to grid system in hourly constant. A typical grid-connected PV -BES system is illustrated in Figure 1. The BES is parallel connected to the system at the point of common coupling (PCC) through po wer con v erter . The purpose of the con v erter is to re gulate the fluctuate output po wer of PV system by controlling the char ge and dischar ge po wer of BES. In order to dispatch a constant po wer to the grid system , a rob ust control scheme of BES needs to be de v eloped. In this pape r , the control scheme is included at the outer control loop of the BES-VSC as sho wn in Figure 1. The control goal is to ensure a continuous char ge/dischar ge of BES po wer for reducing the PV po wer fluctuations while pro viding safety and economical of BES. The BES is subjected to the operational constraints such as SOC operating limits and depth of dischar ge (DOD), v oltage e xponential limits, and current limit at the des ired range. The proposed control scheme is de v eloped for hourly PV output po wer dispatch strate gy as illustrated in Figure 2. The proposed control scheme is moti v ated from the conceptual design for output po wer smoothing used in [8, 9]. The aim of the control scheme is to generate the reference signal for char ge/dischar ge of battery po wer , P r ef B E S while meeting all required BES operational constraints. The required BES operational constraints are described as follo ws: S O C B E S min S O C B E S ( t ) S O C B E S max (1) Contr ol Str ate gy of a Grid-connected Photo voltaic with Battery Ener gy ... (Mohd Afifi J usoh) Evaluation Warning : The document was created with Spire.PDF for Python.
1832 ISSN: 2088-8694 Figure 1. System configuration and control of grid-connected PV/BES system for hourly output po wer dispatch. I max ch I B E S ( t ) I max dis (2) V B E S min V B E S ( t ) V B E S max (3) As sho wn in Figure 2, the input of the control scheme is P S E T 0 which is determined from the hourly a v erage of forecasted P P V . The details of P S E T 0 and P P V are described in the ne xt chapter . The SOC feedback signal of BES ( S O C B E S ) e v ery one hour is used to determine the ener gy dif ference of BES to maintain the S O C B E S at desired SOC le v el ( S O C r ef B E S ). In this case, the S O C r ef B E S is set at 0.6 p.u which is the most ideal SOC starti ng v alue for the selected SOC range. The dif ferent ener gy of BES in MWh is added to P S E T 0 in order to ensure that S O C B E S maintained at S O C r ef B E S at the end of e v ery hour . Figure 2. Outer loop control of BES-VSC. T o reduce the ne g ati v e impacts from the drastic change of po wer e v ery sub-hourly , the ramp rate limiter is also applied as illustrated in Figure 2. The rate limiter ( r r ) of 0.03 MW/min (up and do wn ra mp rates) is applied to pre v ent o v ershooting when P S E T 0 changes so as to a v oid significant up/do wn ramps of total output po wer to the grid. Figure 3 gi v es the proposed ramp rate concept. As illustrated in Figure 3, the line of B C F and area of O AB C F G represent the po wer reference ( P S E T 0 ) and total ener gy reference ( E S E T 0 ) deli v ered to the grid system without ramp rate, while line of AC F and area of O AC F G represent the po wer reference ( P S E T ) and total ener gy reference ( E S E T ) deli v ered to the grid system with traditional ramp rate, respecti v ely . By comparing of the total ener gy reference, the total ener gy is reduced if the traditional ramp rate control is applied. This ener gy reduction occurrance is because of the cut-of f po wer during the ramp rate transition. T o o v ercome the shortage of ener gy deli v ered, the fle xible ramp rate control is proposed in this paper . As sho wn in Fi g ur e 3, the solid line of AD E and area of O AC F G represent the P S E T and E S E T deli v ered to the grid system with proposed ramp rate strate gy without ener gy reduction. Based on the figure, the P S E T ramps up at 0.03MW/min rate at the be ginning of hour t and retains steady until the end of the hour . So, the ramping duration r r at hour t is calculated by using Equation 4 [14]. The hourly ener gy is e xpressed by Equation 5 [14] where E R is ener gy deli v ered in ramping operation and E S is ener gy deli v ered during stable IJPEDS V ol. 8, No. 4, December 2017: 1830 1840 Evaluation Warning : The document was created with Spire.PDF for Python.
IJPEDS ISSN: 2088-8694 1833 Figure 3. Illustration of ramp rate control. state operation. The equation represents the correlation between E S E T and P S E T . r r ( t ) = j P S E T ( t ) P S E T ( t 1) j r r (4) E S E T ( t ) = E R ( t ) + E S ( t ) = r r ( t ) 2 ( P S E T ( t ) P S E T ( t 1)) + ( r r ( t )) = j P 2 S E T ( t ) P 2 S E T ( t 1) j 2 r r + j P S E T ( t ) P S E T ( t 1) j r r P S E T ( t ) (5) T o ensure the SOC operational of BES is within the desired limit, the rules-based control in [9] is used. The de v eloped rules-based control is as illustrated in Figure 4. The input of the rules-based control, P tar B E S is a de viation of P S E T and P P V while the output is P r ef B E S . In the present study , the S O C B E S min and S O C B E S max are set to 0.3 p.u and 0.9 p.u, respecti v ely . T o ensure that the output of the outer loop control, I r ef B E S stays within required operational constraint of I B E S , the current limiter block is applied. The maximum char ge/dischar ge current of BES should not e xceed 1 C B E S amperes. Figure 4. Flo wchart of rules-based control. Contr ol Str ate gy of a Grid-connected Photo voltaic with Battery Ener gy ... (Mohd Afifi J usoh) Evaluation Warning : The document was created with Spire.PDF for Python.
1834 ISSN: 2088-8694 3. MODELLING AND SIMULA TION OF PV -BES SYSTEM The simulation for v alidating the proposed control scheme is carried out using Matlab/Simulink. This section describes the method of obtaining PV output po wer profile ( P P V ), hourly set-point po wer profile ( P S E T 0 ), BES po wer and ener gy rating. Besides that, the details of BES system model is also presented. 3.1. Output po wer of PV system ( PPV ) and determination of po wer r efer ence pr ofile ( PSET 0 ) The one-year Malaysian historical radiation and temperature data are used in pr o duci ng the P P V out- put po wer data [8]. The hourly a v erage of radiation and temperature are manipulated by adding random noise to represent the actual radiation and temperature data. The added random noise data are e xtracted according to the Malaysia weather characteristic where the interm ittent of clouds are occurred between 11AM to 3PM. Figure 5 sho ws the one-day P P V of which e xtracted from manipulated radiation and temperature data by using 1.2 MW grid-connected PV system model [8]. In this re g ards, 5% po wer loss through the con v erter is assumed and maximum po wer point tracking (MPPT) operation is considered in the PV system model. The P P V data obtained are used to e v aluate the proposed control scheme. P S E T 0 is a s et-point po wer profile that is used as a reference to dispatch a constant po wer to the grid system in a certain period. F or this study , the one-hour dispatch period is chosen. The magnitude of P S E T 0 is determined from hourly a v erage of P P V . The ideal P S E T 0 represents the dispatch reference without an y error of forecast model. T o represent the error of forecast model, 10% mean absolute error (MAE) is added into P S E T 0 as illustrated in Figure 5. Figure 5. Po wer profile of P P V and P S E T 0 . 3.2. Determination of BES po wer and ener gy capacity The required ener gy of BES ( E B E S ) is determined based on the output po wer profile ( P P V ) and po wer set-point profile ( P S E T 0 ) in Figure 5 by using Equation 6 [9], where P r ef B E S is po wer reference of BES without using control scheme that is obtained us ing Equation 7. Figure 6 illustrates the BES po wer rating and BES ener gy rating, respecti v ely . From the figure, a total of 0.3 MWh size of BES and 0.6 MV A con v erter rating are required if there is no error in forecast considered. On the other hand, a minimum 0.9 MWh size of BES is required when 10% error in forecast is considered. This clearly sho ws the need for a proper control and management of BES SOC in order to minimize the BES ener gy rating when the error in forecast is considered. In this paper , 0.3 MWh size of BES is selected and used with the proposed control scheme in the simulation study . E B E S ( t ) = E B E S (0) + Z t 0 P r ef B E S ( t ) dx (6) P r ef B E S ( t ) = P S E T 0 ( t ) P P V ( t ) (7) IJPEDS V ol. 8, No. 4, December 2017: 1830 1840 Evaluation Warning : The document was created with Spire.PDF for Python.
IJPEDS ISSN: 2088-8694 1835 Figure 6. Po wer and ener gy rating for BES. 3.3. Modelling of BES system In the present study , the lithium-ion battery is used as BES because of its e xcellent performance such as high ener gy density and high capacity . The lithium-ion battery model is modelled based on the dynamic equi v alent circuit as illustrated in Figure 7 [15]. The dynamic model gi v es the relationship between v oltage, current and the a v ailable char ge (SOC) of the battery . Figure 7. Equi v alent circuit of battery simulation model. The mathematical equation of the dynamic model are described based on the follo wing equations: V B at = E B at R int I B at ; (8) S O C = 100( R I B at dt Q ) ; (9) E B at disc = E 0 [ K ( Q Q it i )] [ K ( Q Q it it )] + Ae ( B )( it ) ; (10) E B at char g = E 0 [ K ( Q it 0 : 1 Q i )] [ K ( Q Q it it )] + Ae ( B )( it ) ; (11) it = Z I B at dt (12) where V B at is the battery v oltage (V), R int is the batt ery internal resistance ( ), I B at is the battery current (A), Q is the cell capacity (Ah), E B at disc is battery electromoti v e force during dischar ge (V), E B at char g is battery Contr ol Str ate gy of a Grid-connected Photo voltaic with Battery Ener gy ... (Mohd Afifi J usoh) Evaluation Warning : The document was created with Spire.PDF for Python.
1836 ISSN: 2088-8694 electromoti v e force during char ge (V), E 0 is battery open-circuit v oltage (V), K is polarisation resistance ( ), it is actual battery current (Ah), i is filtered c u r rent (A), A is e xponential zone v oltage (V) and B is e xponential zone time constant in v erse (Ah) 1 . 4. RESUL TS AND DISCUSSION This section presents the simulation results and discussions. The first par t discusses about the proposed controller performance for dispatching the total output of PV -BES system. The second part pro vides the case studies to e v aluate the ef fects of initial v alues of BES SOC to the dispatching performance. 4.1. Effects of pr oposed contr oller to the dispatching perf ormance of PV -BES Figure 8 illustrates the ef fect of the proposed scheme on the dispatching performance of PV -BES system. The simulation results sho w graphically which summarises the output po wer dispatch curv e, SOC, BES v oltage and current profiles of the PV -BES system. F or the case of uncontrolled S O C B E S , it is clearly sho wn in the Figure 8(a) that the po wer can be smoothly deli v ered to the grid system without an y fluctuated output. Ho we v er , the parameters of BES e xceeds the lo west limit of desired operational constraints as e vident in Figure 8(b), (c) and (d), where the lo west V B E S , S O C B E S and I B E S are 0.56 kV , 0.1 p.u and 0.7 kA, respecti v ely . Therefore, to meet the acceptable dispatching performance with safe battery operation, the S O C B E S needs to be properly controlled. F or a controlled S O C B E S , the po wer deli v ered to the grid system is consistent with the fluctuati ons ha v e been minimized to a certain le v el. Consequently , all the BES parameters constraints are satisfied as sho wn in Figure 8(b), (c) and (d), respecti v ely . From Figure 8(a), there are some spik es e xist mostly between 11 AM and 3 PM. The visibility of the spik es that occur is because of current blocking in the current operational limits ( 1 C B E S ) of I B E S . In practice, there are man y w ays to eliminate such spik es, for e xample by installing high po wer storage de vice such as supercapacitor [8, 16]. Output po wer in Figure 8(a) also sho ws reduction of output po wer dispatch due to controller setting in maintaining the S O C B E S at the end of sub-hourly the same as the initial S O C B E S . As e vident in Figure 8(c), the S O C B E S le v el is maintained to remain the v alue close to initial S O C B E S at the end of the day compared to the S O C B E S in pre vious case. The lo west S O C B E S is measured around 0.36 p.u. Besides that, the simulation results also sho w v oltage and current profiles of the PV -BES system in Figure 8(b) and (c), respecti v ely . Based on Figure 8(b), the result sho ws the minimum v oltage of the BES which is 0.6381 kV does not e xceed the lo west boundary of V B E S . Meanwhile, in Figure 8(d) sho ws maximum char ge and dischar ge current profiles that has been limited to 1 C B E S for safety purposes. From the curv e, the I B E S does not e xceed 0.5 kA. In addition to the results of the dispatching performances of PV -BES system, the ef fecti v eness of proposed control scheme is determined using the performance inde x ( P I ) sho wn in Equations 13 and 14 [17] where, N x represents the number of occurrences of de viations and dP is the dif ference of the total output and the desired set point. The total output po wer , P G in this case is measured at the PCC s ystem b us where the PV system is connected. P I = X N x j dP x j (13) dP = P S E T P G (14) The po wer de viation, dP is ill u s trated in Figure 9 and it is v erified that if the proposed control scheme is not used to smooth out the P P V output and dispatch on an hourly basis, the unacceptable de via tion will occur . The de viation without mitig ation scheme that e xceeds 0.12 MW (10%) from the total PV capacity is found to be approximately 20% as illus trated in Figure 9(a). W ith the proposed control scheme, the unacceptable de viations greatly impro v ed as sho wn in Figure 9(b), in which the de viations decreased to less than 1%. 4.2. Effects of initial SOCBES to the dispatching perf ormance of PV -BES In order to e v aluate the rob ustness and fle xibility of the performance of the proposed control scheme, the follo wing three critical cases of storage initial S O C B E S are considered. The initial S O C B E S is set to nearly full char ge of 90% (case 1), nearl y full dischar ged at 30% (case 2) and the a v erage 60% (case 3), respec- ti v ely . Figure 10(a) and (b) pro vides the simulation results of po wer profile and S O C B E S profile, respecti v ely . F or case 1 and 2, the control scheme has adjusted the P S E T 0 to increase (for case 1) and decrease (for case 2) IJPEDS V ol. 8, No. 4, December 2017: 1830 1840 Evaluation Warning : The document was created with Spire.PDF for Python.
IJPEDS ISSN: 2088-8694 1837 Figure 8. Comparison of dispatch performance of PV -BES using proposed control scheme. (a) Po wer profile of P P V , P S E T and P G , (b) V oltage profile of BES, (c) SOC profile of BES and (d) Current profile of BES. Figure 9. Comparison of dP . (a) Before mitig ation, (b) After mitig ation. as illustrates in Figure 1 0( a). The adjusted P S E T 0 caused the dischar ge rate i s increased and char ge rate is de- creased if high initial SOC is set. In contrast, for the case 2, lo w starting v alue of the SOC causes the controller to adjust the P S E T 0 so that char ging acti vities are more than the dischar ging. This scenario indicates that, through the proposed control scheme, the S O C B E S can be restored to its typical conditions without adding more ener gy storage capacity as illustrated in Figure 10(b). F or case 3, 60% is assumed as nominal initial of S O C B E S . This case is e xpected as re gular operating condition of the BES during clear day or less impact of cloud co v er to the PV system output po wer fluctuation. In this case, P S E T 0 is remain unchanged at early stage due to the ability of the BES to char ge and dischar ge. As illustrated in Figure 10(b), S O C B E S is remain stable within the controllable range that reflects the ef fecti v eness of the proposed scheme. 5. CONCLUSION This paper in v estig ates the control design issues of lar ge scales BES to be inte grated with grid- connected PV system so that the output po wer from PV system can be smoothed out and dispat ched on an Contr ol Str ate gy of a Grid-connected Photo voltaic with Battery Ener gy ... (Mohd Afifi J usoh) Evaluation Warning : The document was created with Spire.PDF for Python.
1838 ISSN: 2088-8694 Figure 10. Ef fects of initial S O C B E S to the dispatching performance of PV -BES. (a) Po wer profile, (b) SOC of BES profile. hourly basis lik e a con v entional generator . F or such purpose, the control scheme has been proposed with the goal of using BES to pro vide po wer smoothing of the PV system while maintaining the B ES operational constraints at the desired le v el. The simulation of the proposed control scheme has been carried out using the historical PV system input data of a site in Malaysia. Besides that, determination size of BES and BES modelling also has been addressed. From the simulation results, the proposed control scheme is found to be ef fecti v e. The results indicates that the dispatching performance w as impro v ed and the required operational constraints for BES ha v e been met. The SOC of BES is controlled at le v el the same as initial SOC during the end of the day to ensure continuous po wer support for ne xt day po wer smoothing operat ion. The proposed control scheme also can significant ly reduce the po wer fluctuation with the unacceptable de viations of 10% PV capacity ha v e been reduced from 20% to less than 1%. The results from case studies of the ef fects of initial SOC of BES indicates the fle xibility and rob ustness of the control scheme that an y le v el of SOC can be properly re gulated e v en during the critical conditions of po wer fluctuation mitig ation. A CKNO WLEDGMENTS The authors w ould lik e to ackno wledge Uni v ersiti Malaysia T erengg anu, Malaysia and Ministry of Higher Education Malaysia (MOHE) for the financial support of this research. This research is supported by MOHE under the Fundamental Researc h Grant Scheme (FRGS), V ot No. 59418 (Ref:FRGS/1/2015/TK10 /UMT/02/1). REFERENCES [1] S. Shi v ashankar , S. Mekhilef, H. Mokhlis, and M. Karimi, “Mitig ating methods of po wer fluctuation of photo v oltaic (pv) sources–a re vie w , Rene wable Sustainable Ener gy Re vie w , v ol. 59, pp. 1170–1184, 2016. [2] S. K ouro, J. I. Leon, D. V innik o v , and L. G. Franquelo, “Grid-connected photo v oltaic systems: An o v ervie w of recent research and emer ging pv con v erter technology , IEEE Industrial Electr onics Ma g- azine , v ol. 9, no. 1, pp. 47–61, 2015. [3] M. Q. Raza, M. Nadarajah, and C. Ekanayak e, “On recent adv ances in pv output po wer forecast, Solar IJPEDS V ol. 8, No. 4, December 2017: 1830 1840 Evaluation Warning : The document was created with Spire.PDF for Python.
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