Estimation of the Wind Energy Potential in Various North Algerian Regions

: This investigation aims to model and assess the wind potential available in seven speciﬁc regions of North Algeria. These regions, i.e., Batna, Guelma, Medea, Meliana, Chlef, Tiaret, and Tlemcen, are known for their traditional agriculture. The wind data are obtained from the National Agency of Meteorology (NAM), and a Weibull distribution is applied. In the ﬁrst part of this study, the wind potential available in these sites is assessed. Then, different models are used to estimate the wind system’s annual recoverable energy for these regions. We are interested in wind pumping for possible use to meet the needs of irrigation water in rural areas. Four kinds of wind turbines are explored to determine the possibility of wind energy conversion. In addition, the effects of the heights of the pylon holding the turbines are inspected by considering four cases (10, 20, 40, and 60 m). This estimation showed that the annual mean wind velocity varies from 2.48 to 5.60 m/s at a level of 10 m. The yearly values of Weibull parameters (k and c) at the studied sites varied within 1.61–2.43 and 3.32–6.20 m/s, respectively. The average wind power density ranged from 11.48 (at Chlef) to 238.43 W/m 2 (at Tiaret), and the monthly wind recoverable potential varied from 16.64 to 138 W/m 2 .


Introduction
Over many decades of the last century, continuous industrialization yielded a considerable increase in energy consumption. This is due to the demographic growth and the intensive development of some geographical regions, especially Asia. The classical energy resources (fossil energies) may be operated for a few decades, causing a shortage of global energy in the world. Moreover, wastes from nuclear power plants pose other problems in pollution terms (as radioactive wastes) at the moment of the next dismantling of old power plants [1].
To satisfy the energy requirements of the present society, it is essential to discover arrangements and to broaden them. Nowadays, two lines of action are available: (i) Reduce the utilization of energy receptors and augment the productivity of power plants by enhancing their performance; (ii) Find and develop new sources of energy.
In the immediate future, there are inexhaustible renewable energy resources that are clean and easily exploitable. Nonetheless, a few methods for extricating the force of these assets require examination and advancements to work on their dependability, lower costs (assembling, use, and reusing), and expand their energy productivity. In this general context, our study focuses on the wind energy solution that can contribute to solving irrigation problems in addition to the solar energy vector, which seems more promising.
Wind energy frameworks convert dynamic energy (related to the development of climatic air) to more helpful types of forces, and have been utilized to provide power for water systems and processing, and since the start of the twentieth century, to produce electric energy [2][3][4][5]. Windmills for water siphoning have been introduced in numerous nations, especially the country regions. Their utilization has, nonetheless, been very restricted or non-existent in Algeria. Wind energy is changed into mechanical force by wind turbines [6][7][8][9][10]. This would then be able to be utilized straightforwardly for granulating and so on, or for additional transformation to create electric power [11][12][13][14][15]. Wind turbines can be utilized separately or in bunches called 'wind farms'. Little wind turbines called air generators can likewise be used to charge enormous batteries [16][17][18][19][20].
Indeed, several countries have invested in this solution, such as Germany, Spain, and France in Europe. Until 2020, wind power prevised to be installed in Europe is about 70 GW [18]. In this direction, several studies have been conducted, beginning with the determination of wind power potential of various sites in North Africa up to establishing a wind atlas for each country of this strategic region of the world [21][22][23][24][25][26]. The Maghreb countries are becoming interested in this solution; 200 MW for 2011 in Tunisia [27], 600 MW in Morocco [28], and 80 MW in Algeria for 2015 [29].
Other research has been conducted to show several applications of wind energy such as rural electrification [30][31][32] and local electricity consumption [33], as well as its conversion to other energy carriers, i.e., pumping [34], water treatment [35], water electrolysis [36], and hydrogen storage in the longer term [37], among others, Table 1.
In Algeria, the most common renewable energy source becoming increasingly used is solar energy. A few rustic water supply plots are being fueled by sun-based electric siphon frameworks, particularly in the disengaged portions of the country. If appropriately surveyed and saddled, it is appropriate to note that wind power may be applied for irrigational cultivating and water supply.
The aim of the present work is to model and assess the wind potential available in some regions of the north of Algeria, using average daily meteorological data collected in the last decade at a standard height of 10 m from some meteorological stations distributed over the selected sites in the north of Algeria (National Agency of Meteorology, ONM) [38]. We investigated the wind pumping for possible use to meet the needs of excessive irrigation water in rural areas of these regions.
The results of the techno-economic feasibility study show that hybrid power system can generate more than 50 MW.
The approach's efficiency is demonstrated throughout the cold, moderate, and hot seasons, using measured climatic data and a Tunisian household power consumptions.
The results show that a hybrid power system comprising solar, wind, and biomass is a reliable and cost-effective option for sustainable remote rural electrification while achieving environmental benefits.
Allouhi et al. [33] Hybrid PV-T/wind system with thermal storage for electricity and heat generation.
The impacts of WES is evident from the results of test system-III, which illustrated that WES was able to reduce the total thermal power generation by 4528.85 MW and optimal cost by 19.86%.
Jeon et al. [35] Self-powered electro-coagulation (SPEC) system driven by a wind energy harvesting triboelectric nanogenerator for decentralized water treatment.
The SPEC system removes 90% of algae and 97% of organic dye with self-powered treatment for 72 h.
Bos et al. [36] Wind power to methanol: renewable methanol production using electricity, electrolysis of water, and CO 2 air capture.
10 MW wind turbines can accommodate the air capture instalation in the base tower.
Maleki [37] Autonomous solar-wind-reverse osmosis desalination systems coupling battery and hydrogen energy storage.
The results showed the robustness of the energy management method and proposed algorithm.

Modeling of the Wind Speed Frequency
The following method may be applied to evaluate the distribution of the wind speed: (i) Data acquisition from the meteorological Centers in Algeria (National Agency of Meteorology, ONM); (ii) Isovent (or wind maple) representation of Algeria using Surfer software; (iii) Evaluation of the future wind velocity at the turbine regions; (iv) Evaluation of the availability of particular levels of wind velocity at given times utilizing the Weibull distribution.
The geographical coordinates of the meteorological stations are provided in Table 2.
The wind map of Algeria, which gives the isowind representation, is shown in Figure 1. This map was recently proposed by Boudia et al. [26].

Determination of Weibull Parameters
The wind characteristics will determine the energy amount that can be effectively extracted from wind power. To determine the properties of a site, the measures of wind speed and its direction over a long period of time are required (one to ten years).
However, previous studies in the wind field have shown that the essential feature is the Weibull statistical distribution. It was the most suitable model to evaluate the wind potential, and it is a good match with the experimental data. It successfully modeled the probability of wind speeds of wind resources [21,24,[39][40][41].   Batna  35  38  4  50  Guelma  36  28  7  28  Medea  36  16  2  45  Meliana  36  18  2  14  Chlef  36  12  1  20  Tiaret  35  23  19  22  Tlemcen  34  53  19  12 The wind map of Algeria, which gives the isowind representation, is ure 1. This map was recently proposed by Boudia et al. [26].

Determination of Weibull Parameters
The wind characteristics will determine the energy amount that can extracted from wind power. To determine the properties of a site, the mea speed and its direction over a long period of time are required (one to ten y However, previous studies in the wind field have shown that the esse the Weibull statistical distribution. It was the most suitable model to eva potential, and it is a good match with the experimental data. It successfull probability of wind speeds of wind resources [21,24,[39][40][41].
The Weibull probability density function is expressed as follows: The parameters k and c are the shape factor (dimensionless) and the s m/s. Usually, the shape factor characterizes the distribution of the win factor characterizes the average wind speed (m/s). The Weibull probability density function is expressed as follows: The parameters k and c are the shape factor (dimensionless) and the scaling factor in m/s. Usually, the shape factor characterizes the distribution of the wind. The scaling factor characterizes the average wind speed (m/s).
There are several methods for determining the factors k and c. For example: (i) The least mean squares method; (ii) The maximum likelihood method; (iii) The process of standard deviation.
In this study, we applied the latter method. It is based on the computing of the variance and the mean velocity [40,42]: where Γ is the gamma function for exponential distribution defined for a variable z given by the following expression:

Estimation of the Annual Wind Potential
The average power available on a given site per unit time and surface of a wind turbine is expressed by the following: where ρ is the density of air equal to 1.25 kg/m 3 at the temperature and pressure conditions of T = 20 • C and P = 1 atm, respectively, and the cubic average speed of wind can be calculated by the following expression [15,39]: However, studies have shown that this power supply is not fully utilized at the wheel of the turbine. Using Betz's law, the power is recovered up to 59% of the energy available [21,39]:

Findings and Analysis
In our case, we want to treat the North Region of Algeria and, especially, the cited towns in Table 2 (Batna, Guelma, Medea, Meliana, Chlef, Tiaret, and Tlemcen) as a first step, and then generalize the study in future work to other sites in the north of Algeria, particularly the isolated regions of these departments. The processed data are spread over the last fifteen years, from 2007 to 2020. Figure 1 shows the wind map evaluation in Algeria at a 10 m height (m/s) proposed by Boudia et al. [26]. The north of Algeria is relatively characterized by a low wind speed. Particularly, for the selected sites in this work, the wind speed reaches 5.5 m/s in the Tiaret site, and the lower values are 2.90 and 3.31 in the Medea and Chlef sites, respectively, as shown in Table 3. We note here that the wind speed measured values present an important fluctuation for different years. For example, Figure 2 shows the monthly variation in average wind speed for the site of Medea for three years (2016, 2018, and 2020 For example, Figure 2 shows  The Weibull distribution of average wind speeds in the case of Medea loc illustrated in Figure 3. It shows that 25% of the velocities are accumulated betwee 3 m/s, while the interval of the density function extends up to 9 m/s. The Weibull distribution of average wind speeds in the case of Medea location is illustrated in Figure 3. It shows that 25% of the velocities are accumulated between 2 and 3 m/s, while the interval of the density function extends up to 9 m/s.  Figure 4 gives the Weibull distribution of average wind speeds and mean power for the other selected sites. It can be seen that Tiaret, Batna, and Meliana have the more significant wind power potential in the north of Algeria. Table 3 illustrates this observation and quantifies the maximum mean power in Tiaret of about 230 W/m 2 . The lower value is about 28 W/m 2 in Chlef. The variation of wind speed with altitude may be calculated as follows:  is about 28 W/m 2 in Chlef. The variation of wind speed with altitude may be calculated as follows:

Distribution of Wind Speed
where v 1 and v 2 are the calculated values of wind speed at height Z 1 and Z 2 , respectively, and α is the wind speed power law exponent. This latter is given by the following [43]: with Z = exp(Ln(Z 1 ) + Ln(Z 2 ))/2 (10) and Z 0 is the roughness of the site. For Medea, we take 0.01 m as the roughness value. The value of the power law exponent α is about 0.23. Hence, we estimate the wind speed at 20 m, 40 m, and 60 m of height using Equation (8), as illustrated in Figure 5. The wind speed reaches the range 3.2 to 5.5 m/s at 60 m. Table 3 shows the annual mean wind power energy available and recoverable at the selected sites. For example, it shows a low recovered power of approximately 27.25 W/m 2 at Medea compared with the other sites cited in this table or those found in sites in the High Plains cited by Merzouk [39]. However, the result found here is comparable to that found for the site of Chlef.

Determination of the Recovered Power by Year
On the other hand, for the site of Medea, examination of the distribution of monthly available power shows that we can operate a power ranging from 20 to 45 W/m 2 for a period of eight months per year ( Figure 6). The minimum value is about 10 W/m 2 in January.

Wind Turbine Selection
A huge assortment of wind generators is created by many methods on the planet. The majority of these breeze turbines are small or medium machines providing an electric force somewhere in the range of 0.25 and 100 kW.  Figure 4 gives the Weibull distribution of average wind speeds and mean power for the other selected sites. It can be seen that Tiaret, Batna, and Meliana have the more significant wind power potential in the north of Algeria. Table 3 illustrates this observation and quantifies the maximum mean power in Tiaret of about 230 W/m 2 . The lower value is about 28 W/m 2 in Chlef. The variation of wind speed with altitude may be calculated as follows: (8) where v1 and v2 are the calculated values of wind speed at height Z1 and Z2, respectively and α is the wind speed power law exponent. This latter is given by the following [43]: (10) and Z0 is the roughness of the site.    Table 3 shows the annual mean wind power energy available and recoverable at th   For Medea, we take 0.01 m as the roughness value. The value of the power l ponent α is about 0.23. Hence, we estimate the wind speed at 20 m, 40 m, and 6 height using Equation (8), as illustrated in Figure 5. The wind speed reaches the ran to 5.5 m/s at 60 m.  Table 3 shows the annual mean wind power energy available and recoverable selected sites. For example, it shows a low recovered power of approximately 27.25 at Medea compared with the other sites cited in this table or those found in sites in the High Plains cited by Merzouk [39]. However, the result found here is comparable to that found for the site of Chlef.

Determination of the Recovered Power by Year
On the other hand, for the site of Medea, examination of the distribution of monthly available power shows that we can operate a power ranging from 20 to 45 W/m 2 for a period of eight months per year ( Figure 6). The minimum value is about 10 W/m 2 in January.

Wind Turbine Selection
A huge assortment of wind generators is created by many methods on the planet. The majority of these breeze turbines are small or medium machines providing an electric force somewhere in the range of 0.25 and 100 kW.
Taking into account the socio-geographical conditions and wind potential of the region of Medea, four types of wind turbines have been selected and characterized by their satisfying efficiency and acceptable cost (Table 4). It is noted that all these wind turbines have a cut-in wind velocity smaller than the mean wind velocity of the site of Medea (about 3.13 m/s). Table 4 shows the main features of the chosen wind turbines; precisely the helix diameter (D), the nominal speed (vn), and nominal power (Pn). All these generators have three blades. The monthly power produced by the four selected wind turbines shows two families of turbines; small ones (Bergey Excel-S and Bergey XL1) delivering about 0.13 to 1.00 kW and big ones (Fuhrlander FL and Enercon E33) reaching 23.86 kW per month (Figure 7). Taking into account the socio-geographical conditions and wind potential of the region of Medea, four types of wind turbines have been selected and characterized by their satisfying efficiency and acceptable cost (Table 4). It is noted that all these wind turbines have a cut-in wind velocity smaller than the mean wind velocity of the site of Medea (about 3.13 m/s). Table 4 shows the main features of the chosen wind turbines; precisely the helix diameter (D), the nominal speed (v n ), and nominal power (P n ). All these generators have three blades. The monthly power produced by the four selected wind turbines shows two families of turbines; small ones (Bergey Excel-S and Bergey XL1) delivering about 0.13 to 1.00 kW and big ones (Fuhrlander FL and Enercon E33) reaching 23.86 kW per month (Figure 7).
On the other hand, using those small wind turbines (Bergey Excel-S and Bergey XL1) for water pumping purposes permits us to pump about 15 × 10 3 m 3 with the first one and 1.05 × 10 3 m 3 with the second one for a height of 50 m (Figure 8).
However, in these regions where solar energy is abundant, small wind turbines can be coupled with properly sized photovoltaic conversion systems. This kind of wind turbine can usefully be employed to pump water, irrigate cultivated fields or oasis, and feed houses or farms with electricity in such regions. The smaller wind turbines contribute to supplying houses with electricity, and then replace diesel engines as auxiliary sources.  On the other hand, using those small wind turbines (Bergey Excel-S and Bergey XL1) for water pumping purposes permits us to pump about 15 × 10 3 m 3 with the first one and 1.05 × 10 3 m 3 with the second one for a height of 50 m ( Figure 8).
However, in these regions where solar energy is abundant, small wind turbines can be coupled with properly sized photovoltaic conversion systems. This kind of wind turbine can usefully be employed to pump water, irrigate cultivated fields or oasis, and feed houses or farms with electricity in such regions. The smaller wind turbines contribute to supplying houses with electricity, and then replace diesel engines as auxiliary sources.

Conclusions
The following points were found during this research to assess the wind potential in various regions of the north of Algeria:  On the other hand, using those small wind turbines (Bergey Excel-S and Berg for water pumping purposes permits us to pump about 15 × 10 3 m 3 with the first o 1.05 × 10 3 m 3 with the second one for a height of 50 m (Figure 8).
However, in these regions where solar energy is abundant, small wind turbi be coupled with properly sized photovoltaic conversion systems. This kind of w bine can usefully be employed to pump water, irrigate cultivated fields or oas feed houses or farms with electricity in such regions. The smaller wind turbines c ute to supplying houses with electricity, and then replace diesel engines as a sources.

Conclusions
The following points were found during this research to assess the wind pote various regions of the north of Algeria:

Conclusions
The following points were found during this research to assess the wind potential in various regions of the north of Algeria: Wind power, on the other hand, can be considered in the north of Algeria to satisfy power demand thanks to its renewability and sustainability, despite the fact that the wind speed is rather low. So, using its monthly wind recoverable potential of around 27.25 W/m 2 and an annual value of about 3.27 kW/m 2 (in Medea, for example) for pumping at modest drills, it may be subjected to a practical examination.
Furthermore, it would be more fascinating to investigate many regions of these departments in order to identify ideals places for the construction of wind power plants to generate electricity.