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IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE)
e-ISSN: 2278-1676,p-ISSN: 2320-3331, Volume 10, Issue 3 Ver. IV (May – Jun. 2015), PP 23-31
www.iosrjournals.org
DOI: 10.9790/1676-10342331 www.iosrjournals.org 23 | Page
Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid
Energy System for Electrification of Rural Area
Payal Suhane1
, Saroj Rangnekar2
, Arvind Mittal3
1,2,3,
(Energy Centre, Maulana Azad National Institute of Technology Bhopal, India)
Abstract : With the rapid deployment probability of fossil fuels and fast development of renewable energy
technology, the renewable sources use are being promoted for various applications to reduce the consumption
of fossil fuels. Integration of these sources as Hybrid Energy System (HES) is better option as a small scale
alternative source of electrical energy. Wind/PV HES is more economical and reliable than a single PV or wind
turbine for their complementary nature both in time and geography. And combination of these sources with
diesel generator is better option for un-electrified remote areas as compare to diesel generator alone.
Unpredictable nature of wind and intermittent nature of solar as well as variation in load demand introduces,
complexity in HES, therefore sizing of HES is prerequisite for power supply to areas at minimum cost. In this
paper, Jhiri village of Madhya Pradesh (India) is identified as un-electrified remote area to be considered for
case study. Load profile creation of the above area is done based on the daily consumption of electricity as per
the population and ensuring minimum possible electrification in present scenario. Optimal sizing of selected
HES is done with the help of Homer software. An economical and reliable HES has been proposed for above
area for betterment of human life and overall growth of the village.
Keywords - Renewable Energy Sources, Hybrid Energy System, PV array, Wind Turbine, Battery, Diesel
Generator, Homer software
I. Introduction
At present, India is a large consumer of fossil fuels. According to present energy consumption rate,
coal reserves should last for about 200 years, oil for approximately 40 years and natural gas for around 60 years
[1]. The majority of the energy requirement around the world now is dependent on fossil fuels for a big portion
of their energy demand. Towering costs of these fuels have converted into remarkable increases in the cost of
energy generation especially for rural areas [2]. For an un-electrified rural area if grid expansion is not
economical viable than diesel generator is one of the alternative energy sources [3], if transportation is possible
and economically feasible. But environmental concern and costly fuel issue has diverted concern towards hybrid
configuration of diesel with other renewable energy sources. Due to natural unpredicable properties of wind and
intermittent nature photovoltaic power, stand-alone wind and/or SPV energy systems normally require energy
storage devices like battery, ultracapacitor and backup sources like diesel generator for increasing the quality
and continuity of power supply [4]. Individual solar and wind can be integrated together in a hybrid system as
they have complement nature and available naturally [5]. It reduces the percentage contribution of auxiliary
source and has a say to clean-green environment policies
The idea is to maximize the powering of consumers by two ways i) renewable energy sources taken as
main source and maintaining the continuity of supply by other backup-source during non availability of main
source ii) all sources are renewable sources [6]. Wind-Diesel and solar-diesel hybrid system are studied for
analyzing the performance of the overall system where diesel generator works as backup power source. Hybrid
system can either be connected to Grid or as standalone system [7]. Stand alone system generally electrifies
those areas far away from the grid and grid connected system used both as an load and source depending on the
scenario, reducing the burden on main grid [8]. At present, Hybrid system consisting solar photovoltaic and
wind systems have been promoted around the globe on a comparatively larger scale. Its development is driven
by the government policy to reduce the greenhouse gas emissions and conserve fossil fuels. Reliability of the
system can further be increased by adding a storage device or back up sources to successfully utilize hybrid
power. HES in this paper include PV array system, WTg system, battery system and DG system for power
generation and optimal sizing of HES is done with the Homer software for economical power generation [9].
II. Modeling Of Hes
The proposed structure of HES comprises of PV array, variable speed WT, battery and DG as shown in
Fig.1. In this, wind and solar are integrated and complement each other as primary sources to meet the load
requirements, DGs as an auxiliary source and battery backup storage for enhancing the reliability of system
[10]. Modeling of components are explained in detail below.
Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System…
DOI: 10.9790/1676-10342331 www.iosrjournals.org 24 | Page
Fig1. Hybrid energy system
2.1Wind System Modeling:
The energy and output current of WT for each time instant is calculated on the basis of local weather
conditions and actual installation height of turbines [9]. Fundamental equation governing the mechanical power
capture of rotor blades of WT, which drives the electrical generator, is given by [11]:
P =
1
2
ρACpV3
(1)
where,
ρ : air density (kg/m3
)
A : area swept by the rotor blades
V : velocity of air (m/sec)
Cp ∶ power coefficient of WT, it is often expressed as function of the rotor tip-speed to wind- speed ratio (TSR)
The power coefficient as a function of the tip-speed ratio and the blade pitch angle is defined below [10]:
Cp( λ, θ) = c1( c2/β-c3 θ- c4 θx
-c5) e-c6/ β
(2)
Since this function depends on the wind turbine rotor type, the coefficients c1-c6 and x can be different for
various turbines. The proposed coefficient taken is equal to: c1=0.5, c2=116, c3=0.4, c4=0, c5 = 5, c6=21 (x is not
used because c4 =0). Additionally the parameter β is also defined by
1/ β = 1/( λ+0.08 θ) – 0.035/(1+ θ3
) (3)
Where θ is the pitch angle[o
], which is the angle between the plane of rotation and the blade cross-section chord
The tip speed of blade to wind speed ratio (TSR) is defined as follows:
λ = r ωg/ Vω (4)
The Cp (λ, θ) characteristic, by taking the above parameters c1-c6 for various blade pitch angles θ, are presented
in fig 2.
The tip speed of blades can be found through power curve of wind turbine for a corresponding wind
speed. The wind turbine power curve is given in fig 1. At a given wind speed, the maximum energy conversion
efficiency occur at an optimal TSR. Therefore as the wind speed changes, the turbine rotor speed needs to
change accordingly in order to maintain the optimal TSR and thus to extract maximum power from the available
wind resources. So optimal rotor speed can be found by (5)
ωmopt = λ opt Vω / r (5)
2.2 Solar PV system Modeling:
The power of solar panel calculated on the basis of solar radiation value, derating factor considering
various component losses and solar panel position to collect maximum radiation of Sun [12]. Based on the load
voltage requirement specific number of panel is connected in series.
For a solar PV system the array voltage, including series parallel combination is given as [13]
   a a s s p s e sh L a p o p oV I N R / N N Klog [ N I I N I / N I    
(6)
And array current
Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System…
DOI: 10.9790/1676-10342331 www.iosrjournals.org 25 | Page
            A p L O c A s A s p p p A s A s pI N I I {exp q / AkT V / N I R / N } 1 – N / R V / N I R / N      
(7)
Here IA is the PV array output current, IL is solar cell photocurrent, IO is solar cell reverse saturation
current, VA is PV array output voltage, q is charge of electron, A is P-N junction ideality factor (between 1 to
5), k is Boltzmann constant, Tc is absolute operating temperature of cell, Ns is number of cells in series, Np is
number of cells in parallel, Rs is series resistance of cell, Rp is parallel resistance of cell, and K = nkT/q
Regarding modelling of the PV system, there are many models to represent PV generator I-V characteristics. In
PV generator model Iref (reference output current) is chosen according to simplicity and four parameters found in
manufacturer’s data sheet (short circuit current Isc, current at maximum power point Imp, open circuit voltage
Voc, voltage at maximum power point Vmp ) are employed . A PV generator I-V characteristic is represented by
[32-36].
 ref sc 1 ref 2 ocI I 1 – C {exp V / C V 1}    (8)
Here C1 and C2 are constants given in terms of Isc, Imp, Voc, Vmp . Vref is reference output voltage.
This equation can be adapted to other levels of irradiance and temperature and thereby V-I curve shifts
accordingly. [33-34, 37]
refΔT = T -T (9)
   i ref ref SCI K G / G T G / G 1 I    
(10)
V sV K T R I      (11)
So that
new refV V V  
(12)
new refI I I   (13)
Where Ki and Kv are current and voltage temperature coefficients. Here G denotes solar radiation and T
temperature.
Tilt angle ‘β’ which depends on latitude, sun’s declination angle and insolation, can be obtained with
help of following equation:
   sref ref ref ref ref refq Vmp +Imp *R Voc / KTc *log 1 Imp /Isc    (14)
Radiation and temperature dependence of IL and IO can be obtained with the help of following equations
     L 1ref ref O 1I Isc T * G / G K T – T 
(15)
Where
     O 2 1 2 1K Isc T – Isc T / T – T    (16)
And temperature dependence of IO
 
 1
1
1
1
O
1
3/ n 1
Isc T
I
qVoc(T ) 1 / T– 1 / Tnk
TnkTe e
T
qVqT

 
 
   
     
         
 
  (17)
2.3 Battery System Modeling:
Battery stores the excess energy generated by HES and supply that energy during low generation
period. If total output power of turbine and PV cell is greater than load power, then battery is in state of charging
and the charged quantity of battery at the moment of (t) is given [12] by
Pb t = Pb t − 1 . (1 − σ) + [PZ t − Pl t /ηinv
] . ηbc
If total output power of turbine and PV cell is less than load power, then battery is in state of discharging and the
charged quantity of battery at the moment of (t) is given by [8]:
Pb t = Pb t − 1 . (1 − σ) + [Pl t /ηinv
− PZ t ] /ηbf
Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System…
DOI: 10.9790/1676-10342331 www.iosrjournals.org 26 | Page
where,
Pb t ∶ battery charged quantity at time (t)
Pb t − 1 ∶ battery charged quantity at time (t-1)
σ : self-discharge rate per hour
PZ t ∶ total output power of turbine and PV cell in the time interval (t-1, t)
Pl t ∶ total load power in the time interval (t-1, t)
ηinv
: inverter efficiency
ηbc
: battery charging efficiency
ηbf
∶ battery discharging efficiency
2.4:Diesel System Modeling
DG power is related to fuel consumption means DG is characterized by its efficiency and its fuel consumption
i.e. hourly and specific fuel consumption. Specific fuel consumption (l/kWh) is defined as the fuel consumption
needed to produce 1 kWh of energy and it is equal to hourly fuel consumption (l/h) to supply a given load
during 1h. Hourly fuel consumption is given by [6] :
q(t)=a.P(t)+b.Pr
where,
a : constant in l/kW for typical DG
b : constant in l/kW for typical DG
P(t) : power generated by DG in kW
Pr : rated/nominal power of DG in kW
III. Sizing Of Hybrid Energy System
The unit sizing of integrated power system plays an important role in deciding the reliability and
economy of the system. For sizing of HES, prerequisite is load profile analysis, solar irradiance, variations in
wind speed, temperature, and so forth as the metrological data is always changing and also vary from place to
place. Climatic conditions determine the availability and magnitude of wind and solar energy at particular site.
Pre-feasibility studies are based on weather data (wind speed, solar insolation) and load requirements for
specific site [14]. The load side voltage is considered as 3 phase 415V, AC.
3.1 Load profile creation and metrological data collection
For load profile creation of rural area total population of remote area is considered as 1000 person. On
the basis of power requirement of devices and instruments in houses, school, community centre street light,
hospital and their predefined standard rating hourly load is calculated as shown in below fig 2 and monthly load
profile is shown in fig 3.
Fig2: Load daily profile Fig3: Load monthly profile
Solar radiation and wind speed data is colledted from a data logger installed at MANIT. Bhopal (India)
having latitude as 220
31’ and longitude as 770
35’. Monthly solar radiation, wind speed and temperature are
shown in fig 4, fig5, and fig6 respectively.
Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System…
DOI: 10.9790/1676-10342331 www.iosrjournals.org 27 | Page
Fig4: Monthly avg. solar radiation Fig5: Monthly avg. temperature
Fig6: Monthly avg. wind speed
3.2 Cost curve of HES devices:
For analysis of overall HES, component specification is given below. Individual costing components
are included in software and cost curves for WTg, Solar PV panel, DGs and battery are shown in fig 7,fig 8, fig
9 and fig 10 respectively.
3.2.1PV panel specification:
Rated Power 250 W
Open circuit voltage 37.3 V
Short circuit current 8.30 A
Optimum voltage 30.8 V
Optimum current 8.71 A
3.2.2 WTg specification:
Rated power 5 kW
Cut-in speed 2.7 m/s
Cut-out speed 25 m/s
Rated power speed 10 m/s
3.2.3 DGs specification:
Rated capacity 10 KVA
Rated voltage 415 V
3.2.4 Battery specification:
Rated capacity 200 Ah
Rated voltage 12 V
Minimum state of charge 15 %
Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System…
DOI: 10.9790/1676-10342331 www.iosrjournals.org 28 | Page
Fig7: PV panel cost curve Fig8: WTg cost curve
Fig9: Diesel generator cost curve Fig10: Battery cost curve
3.3Optimal sizing of HES:
Sizing depends on various constrained requisite like renewable energy sources minimum capacity,
diesel generator minimum capacity, battery capacity to supply the energy to load on unavailability of primary
sources of system, Loss of Power supply Probability(LPSP) etc [15]. All the selected constrained is considered
for optimal sizing with Homer Jhiri village for a specified LPSP the optimal sizing of the HES. The minimum
capacities of components are decided based on following equations [16] [17]
3.3.1PV array installation minimum sizing is decided by average load required and
Npvmin>avgLoad/ ƞpv (15)
ƞpv: overall efficiency for PV array
maximum size is decided by maximum load requirement
Npvmax< (MaxLoad/ ƞpv) (16)
3.3.2.Wind turbine minimum sizing is decided by average load required and maximum sizing is decided
by maximum load required
avgLoad<Nwt< (MaxLoad / ƞwt) (17)
ƞwt: overall efficiency for wind turbine
3.3.3. Battery minimum sizing is decided to provide at least back power to load for λ number of days
Nwt> λ * avgLoad (18)
λ: number of days
IV. Results And Discussion
Sizing of HES is done for two cases with and without battery storage backup and Homer results for
both of the cases is discussed below.
4.1Case 1-With battery storage as backup:
Minimum backup storage has been considered as supplying power to load for four hours on non-
availability of primary sources. Monthly average production of electricity is shown in fig 11 and optimal sizing
Homer window in fig 12 and results for this case is complied in Table1.
Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System…
DOI: 10.9790/1676-10342331 www.iosrjournals.org 29 | Page
Fig11: Monthly avg. electricity production
Fig12: Optimal sizing results from homer (with battery storage as backup)
Table 1: Detailed sizing and cost of each component (with battery storage as backup)
5.2 Case2-Without battery storage:
In this case optimal sizing is done without specifying any minimum storage requirement. Monthly
average production of electricity is shown in fig 13 and optimal sizing Homer window in fig 14 Sizing value of
all sources and other components corresponding to minimum cost function are given in Table2.
S.No. Wind
turbine
Solar PV panel DG set Battery Converter (Inverter/
Rectifier)
Total sizing capacity 170 kW 50 kW 40 kW 52 kAh, 12 V 100 kW/100 kW
Total Investment Cost 170 Lakh 62 lakh 16.62 lakh 48.43 lakh 7 lakh
Total Operational Cost 90.72 lakh 26.62 lakh 102.12 lakh 43.1 lakh 4000/- Rs
Total Replacement Cost 0 0 0 201 lakh 4.75 lakh
Total fuel cost 0 0 93.5 lakh 0 0
Energy production in
kWh/Year
639,880 17,396 44,677 86,657 0
Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System…
DOI: 10.9790/1676-10342331 www.iosrjournals.org 30 | Page
Fig13: Monthly avg. electricity production
Fig14: Optimal sizing results from homer (without battery storage)
Table 2 : Detailed sizing and cost of each component (without battery storage )
For analysis of both cases, sizing value of component is compiled in Table 3 for each scenario. On
considering battery storage as backup for supplying average load power for specified hours, per unit cost of
energy is increasing but increment in cost is compensated by Loss of Power Supply Probability (LPSP), which
is around 1 % case 1 much less than as case 2 (10 %).
S.No. Wind turbine Solar PV panel DG set Battery Converter (Inverter/
Rectifier)
Total sizing capacity 110 kW 140kW 30kW 0 100kW/100kW
Total Investment Cost
(in Rs)
137.1 lakh 174.5 lakh 12.46 lakh 0 7.79 lakh
Total Operational Cost
(in Rs)
90.31 lakh 77.68 lakh 31.15 lakh 0 4674 Rs
Total Replacement Cost
(in Rs)
0 0 15.11 lakh 0 5.28 lakh
Total fuel cost (in Rs) 0 0 230.37lakh 0 0
Energy production
(kWh/year)
414,038 48,710 102,420 0 0
Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System…
DOI: 10.9790/1676-10342331 www.iosrjournals.org 31 | Page
Table 2: Detailed sizing and cost of each component (without battery storage)
V. Conclusion
This paper discusses the optimal sizing of HES. Optimal sizing is done by taking into account the
investment cost, operational cost and replacement cost of devices and fuel cost of DG set. The constraint for
objective function is to electrify the selected area with reliable power at minimal cost. The obtained per unit
energy cost of proposed system is much less as compare to diesel generator. The optimal sizing of system
strongly depends solar and wind resource,(which can only be estimated on the basis of statistical data, or
measured on site) and at the considered year of sizing, these has been taken into account. If large variation in the
resource data occur than reliability of system can be reduced and results obtained may vary, therefore the
application of above method may be limited to the pre-feasibility stage. However secondary source as DG set
and battery backup storage are able to maintain the reliability of system if any acceptable variation occurs in
resources data and load demand. Also inclusion of forecasting of these data, based on previous 5-10 years
metrological data, can provide more appropriate figure as compared to considered one year data figure.
References
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[4]. A. Chauhan and R. P. Saini, "A review on Integrated Renewable Energy System based power generation for stand-alone
applications: Configurations, storage options, sizing methodologies and control ," Renewable and Sustainable Energy Reviews , vol.
38, no. 0, pp. 99-120, 2014.
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Electronics, 2009. IECON '09. 35th Annual Conference of IEEE, Nov. 2009, pp. 4548-4554.
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[11]. P. Bajpai, S. Kumar, and N. K. Kishore, "Sizing optimization and analysis of a stand-alone WTG system using hybrid energy
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Conference on, Jun. 2010, pp. 1-6.
[12]. C. E. C. Nogueira, et al., "Sizing and simulation of a photovoltaic-wind energy system using batteries, applied for a small rural
property located in the south of Brazil ," Renewable and Sustainable Energy Reviews , vol. 29, no. 0, pp. 151-157, 2014.
[13]. C. S. Solanki, Solar Photovoltaics-Fundamentals, Technologies and Applications, second edition, 2nd ed. India: PHI, 2011.
[14]. H. X. Yang, L. Lu, and J. Burnett, "Weather data and probability analysis of hybrid photovoltaic–wind power generation systems
in Hong Kong ," Renewable Energy , vol. 28, no. 11, pp. 1813-1824, 2003.
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battery storage," Renewable Power Generation, IET, vol. 6, no. 5, pp. 358-371, Sep. 2012.

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КАТЕРИНА АБЗЯТОВА «Ефективне планування тестування ключові аспекти та практ...
 

D010342331

  • 1. IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-ISSN: 2278-1676,p-ISSN: 2320-3331, Volume 10, Issue 3 Ver. IV (May – Jun. 2015), PP 23-31 www.iosrjournals.org DOI: 10.9790/1676-10342331 www.iosrjournals.org 23 | Page Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System for Electrification of Rural Area Payal Suhane1 , Saroj Rangnekar2 , Arvind Mittal3 1,2,3, (Energy Centre, Maulana Azad National Institute of Technology Bhopal, India) Abstract : With the rapid deployment probability of fossil fuels and fast development of renewable energy technology, the renewable sources use are being promoted for various applications to reduce the consumption of fossil fuels. Integration of these sources as Hybrid Energy System (HES) is better option as a small scale alternative source of electrical energy. Wind/PV HES is more economical and reliable than a single PV or wind turbine for their complementary nature both in time and geography. And combination of these sources with diesel generator is better option for un-electrified remote areas as compare to diesel generator alone. Unpredictable nature of wind and intermittent nature of solar as well as variation in load demand introduces, complexity in HES, therefore sizing of HES is prerequisite for power supply to areas at minimum cost. In this paper, Jhiri village of Madhya Pradesh (India) is identified as un-electrified remote area to be considered for case study. Load profile creation of the above area is done based on the daily consumption of electricity as per the population and ensuring minimum possible electrification in present scenario. Optimal sizing of selected HES is done with the help of Homer software. An economical and reliable HES has been proposed for above area for betterment of human life and overall growth of the village. Keywords - Renewable Energy Sources, Hybrid Energy System, PV array, Wind Turbine, Battery, Diesel Generator, Homer software I. Introduction At present, India is a large consumer of fossil fuels. According to present energy consumption rate, coal reserves should last for about 200 years, oil for approximately 40 years and natural gas for around 60 years [1]. The majority of the energy requirement around the world now is dependent on fossil fuels for a big portion of their energy demand. Towering costs of these fuels have converted into remarkable increases in the cost of energy generation especially for rural areas [2]. For an un-electrified rural area if grid expansion is not economical viable than diesel generator is one of the alternative energy sources [3], if transportation is possible and economically feasible. But environmental concern and costly fuel issue has diverted concern towards hybrid configuration of diesel with other renewable energy sources. Due to natural unpredicable properties of wind and intermittent nature photovoltaic power, stand-alone wind and/or SPV energy systems normally require energy storage devices like battery, ultracapacitor and backup sources like diesel generator for increasing the quality and continuity of power supply [4]. Individual solar and wind can be integrated together in a hybrid system as they have complement nature and available naturally [5]. It reduces the percentage contribution of auxiliary source and has a say to clean-green environment policies The idea is to maximize the powering of consumers by two ways i) renewable energy sources taken as main source and maintaining the continuity of supply by other backup-source during non availability of main source ii) all sources are renewable sources [6]. Wind-Diesel and solar-diesel hybrid system are studied for analyzing the performance of the overall system where diesel generator works as backup power source. Hybrid system can either be connected to Grid or as standalone system [7]. Stand alone system generally electrifies those areas far away from the grid and grid connected system used both as an load and source depending on the scenario, reducing the burden on main grid [8]. At present, Hybrid system consisting solar photovoltaic and wind systems have been promoted around the globe on a comparatively larger scale. Its development is driven by the government policy to reduce the greenhouse gas emissions and conserve fossil fuels. Reliability of the system can further be increased by adding a storage device or back up sources to successfully utilize hybrid power. HES in this paper include PV array system, WTg system, battery system and DG system for power generation and optimal sizing of HES is done with the Homer software for economical power generation [9]. II. Modeling Of Hes The proposed structure of HES comprises of PV array, variable speed WT, battery and DG as shown in Fig.1. In this, wind and solar are integrated and complement each other as primary sources to meet the load requirements, DGs as an auxiliary source and battery backup storage for enhancing the reliability of system [10]. Modeling of components are explained in detail below.
  • 2. Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System… DOI: 10.9790/1676-10342331 www.iosrjournals.org 24 | Page Fig1. Hybrid energy system 2.1Wind System Modeling: The energy and output current of WT for each time instant is calculated on the basis of local weather conditions and actual installation height of turbines [9]. Fundamental equation governing the mechanical power capture of rotor blades of WT, which drives the electrical generator, is given by [11]: P = 1 2 ρACpV3 (1) where, ρ : air density (kg/m3 ) A : area swept by the rotor blades V : velocity of air (m/sec) Cp ∶ power coefficient of WT, it is often expressed as function of the rotor tip-speed to wind- speed ratio (TSR) The power coefficient as a function of the tip-speed ratio and the blade pitch angle is defined below [10]: Cp( λ, θ) = c1( c2/β-c3 θ- c4 θx -c5) e-c6/ β (2) Since this function depends on the wind turbine rotor type, the coefficients c1-c6 and x can be different for various turbines. The proposed coefficient taken is equal to: c1=0.5, c2=116, c3=0.4, c4=0, c5 = 5, c6=21 (x is not used because c4 =0). Additionally the parameter β is also defined by 1/ β = 1/( λ+0.08 θ) – 0.035/(1+ θ3 ) (3) Where θ is the pitch angle[o ], which is the angle between the plane of rotation and the blade cross-section chord The tip speed of blade to wind speed ratio (TSR) is defined as follows: λ = r ωg/ Vω (4) The Cp (λ, θ) characteristic, by taking the above parameters c1-c6 for various blade pitch angles θ, are presented in fig 2. The tip speed of blades can be found through power curve of wind turbine for a corresponding wind speed. The wind turbine power curve is given in fig 1. At a given wind speed, the maximum energy conversion efficiency occur at an optimal TSR. Therefore as the wind speed changes, the turbine rotor speed needs to change accordingly in order to maintain the optimal TSR and thus to extract maximum power from the available wind resources. So optimal rotor speed can be found by (5) ωmopt = λ opt Vω / r (5) 2.2 Solar PV system Modeling: The power of solar panel calculated on the basis of solar radiation value, derating factor considering various component losses and solar panel position to collect maximum radiation of Sun [12]. Based on the load voltage requirement specific number of panel is connected in series. For a solar PV system the array voltage, including series parallel combination is given as [13]    a a s s p s e sh L a p o p oV I N R / N N Klog [ N I I N I / N I     (6) And array current
  • 3. Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System… DOI: 10.9790/1676-10342331 www.iosrjournals.org 25 | Page             A p L O c A s A s p p p A s A s pI N I I {exp q / AkT V / N I R / N } 1 – N / R V / N I R / N       (7) Here IA is the PV array output current, IL is solar cell photocurrent, IO is solar cell reverse saturation current, VA is PV array output voltage, q is charge of electron, A is P-N junction ideality factor (between 1 to 5), k is Boltzmann constant, Tc is absolute operating temperature of cell, Ns is number of cells in series, Np is number of cells in parallel, Rs is series resistance of cell, Rp is parallel resistance of cell, and K = nkT/q Regarding modelling of the PV system, there are many models to represent PV generator I-V characteristics. In PV generator model Iref (reference output current) is chosen according to simplicity and four parameters found in manufacturer’s data sheet (short circuit current Isc, current at maximum power point Imp, open circuit voltage Voc, voltage at maximum power point Vmp ) are employed . A PV generator I-V characteristic is represented by [32-36].  ref sc 1 ref 2 ocI I 1 – C {exp V / C V 1}    (8) Here C1 and C2 are constants given in terms of Isc, Imp, Voc, Vmp . Vref is reference output voltage. This equation can be adapted to other levels of irradiance and temperature and thereby V-I curve shifts accordingly. [33-34, 37] refΔT = T -T (9)    i ref ref SCI K G / G T G / G 1 I     (10) V sV K T R I      (11) So that new refV V V   (12) new refI I I   (13) Where Ki and Kv are current and voltage temperature coefficients. Here G denotes solar radiation and T temperature. Tilt angle ‘β’ which depends on latitude, sun’s declination angle and insolation, can be obtained with help of following equation:    sref ref ref ref ref refq Vmp +Imp *R Voc / KTc *log 1 Imp /Isc    (14) Radiation and temperature dependence of IL and IO can be obtained with the help of following equations      L 1ref ref O 1I Isc T * G / G K T – T  (15) Where      O 2 1 2 1K Isc T – Isc T / T – T    (16) And temperature dependence of IO    1 1 1 1 O 1 3/ n 1 Isc T I qVoc(T ) 1 / T– 1 / Tnk TnkTe e T qVqT                              (17) 2.3 Battery System Modeling: Battery stores the excess energy generated by HES and supply that energy during low generation period. If total output power of turbine and PV cell is greater than load power, then battery is in state of charging and the charged quantity of battery at the moment of (t) is given [12] by Pb t = Pb t − 1 . (1 − σ) + [PZ t − Pl t /ηinv ] . ηbc If total output power of turbine and PV cell is less than load power, then battery is in state of discharging and the charged quantity of battery at the moment of (t) is given by [8]: Pb t = Pb t − 1 . (1 − σ) + [Pl t /ηinv − PZ t ] /ηbf
  • 4. Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System… DOI: 10.9790/1676-10342331 www.iosrjournals.org 26 | Page where, Pb t ∶ battery charged quantity at time (t) Pb t − 1 ∶ battery charged quantity at time (t-1) σ : self-discharge rate per hour PZ t ∶ total output power of turbine and PV cell in the time interval (t-1, t) Pl t ∶ total load power in the time interval (t-1, t) ηinv : inverter efficiency ηbc : battery charging efficiency ηbf ∶ battery discharging efficiency 2.4:Diesel System Modeling DG power is related to fuel consumption means DG is characterized by its efficiency and its fuel consumption i.e. hourly and specific fuel consumption. Specific fuel consumption (l/kWh) is defined as the fuel consumption needed to produce 1 kWh of energy and it is equal to hourly fuel consumption (l/h) to supply a given load during 1h. Hourly fuel consumption is given by [6] : q(t)=a.P(t)+b.Pr where, a : constant in l/kW for typical DG b : constant in l/kW for typical DG P(t) : power generated by DG in kW Pr : rated/nominal power of DG in kW III. Sizing Of Hybrid Energy System The unit sizing of integrated power system plays an important role in deciding the reliability and economy of the system. For sizing of HES, prerequisite is load profile analysis, solar irradiance, variations in wind speed, temperature, and so forth as the metrological data is always changing and also vary from place to place. Climatic conditions determine the availability and magnitude of wind and solar energy at particular site. Pre-feasibility studies are based on weather data (wind speed, solar insolation) and load requirements for specific site [14]. The load side voltage is considered as 3 phase 415V, AC. 3.1 Load profile creation and metrological data collection For load profile creation of rural area total population of remote area is considered as 1000 person. On the basis of power requirement of devices and instruments in houses, school, community centre street light, hospital and their predefined standard rating hourly load is calculated as shown in below fig 2 and monthly load profile is shown in fig 3. Fig2: Load daily profile Fig3: Load monthly profile Solar radiation and wind speed data is colledted from a data logger installed at MANIT. Bhopal (India) having latitude as 220 31’ and longitude as 770 35’. Monthly solar radiation, wind speed and temperature are shown in fig 4, fig5, and fig6 respectively.
  • 5. Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System… DOI: 10.9790/1676-10342331 www.iosrjournals.org 27 | Page Fig4: Monthly avg. solar radiation Fig5: Monthly avg. temperature Fig6: Monthly avg. wind speed 3.2 Cost curve of HES devices: For analysis of overall HES, component specification is given below. Individual costing components are included in software and cost curves for WTg, Solar PV panel, DGs and battery are shown in fig 7,fig 8, fig 9 and fig 10 respectively. 3.2.1PV panel specification: Rated Power 250 W Open circuit voltage 37.3 V Short circuit current 8.30 A Optimum voltage 30.8 V Optimum current 8.71 A 3.2.2 WTg specification: Rated power 5 kW Cut-in speed 2.7 m/s Cut-out speed 25 m/s Rated power speed 10 m/s 3.2.3 DGs specification: Rated capacity 10 KVA Rated voltage 415 V 3.2.4 Battery specification: Rated capacity 200 Ah Rated voltage 12 V Minimum state of charge 15 %
  • 6. Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System… DOI: 10.9790/1676-10342331 www.iosrjournals.org 28 | Page Fig7: PV panel cost curve Fig8: WTg cost curve Fig9: Diesel generator cost curve Fig10: Battery cost curve 3.3Optimal sizing of HES: Sizing depends on various constrained requisite like renewable energy sources minimum capacity, diesel generator minimum capacity, battery capacity to supply the energy to load on unavailability of primary sources of system, Loss of Power supply Probability(LPSP) etc [15]. All the selected constrained is considered for optimal sizing with Homer Jhiri village for a specified LPSP the optimal sizing of the HES. The minimum capacities of components are decided based on following equations [16] [17] 3.3.1PV array installation minimum sizing is decided by average load required and Npvmin>avgLoad/ ƞpv (15) ƞpv: overall efficiency for PV array maximum size is decided by maximum load requirement Npvmax< (MaxLoad/ ƞpv) (16) 3.3.2.Wind turbine minimum sizing is decided by average load required and maximum sizing is decided by maximum load required avgLoad<Nwt< (MaxLoad / ƞwt) (17) ƞwt: overall efficiency for wind turbine 3.3.3. Battery minimum sizing is decided to provide at least back power to load for λ number of days Nwt> λ * avgLoad (18) λ: number of days IV. Results And Discussion Sizing of HES is done for two cases with and without battery storage backup and Homer results for both of the cases is discussed below. 4.1Case 1-With battery storage as backup: Minimum backup storage has been considered as supplying power to load for four hours on non- availability of primary sources. Monthly average production of electricity is shown in fig 11 and optimal sizing Homer window in fig 12 and results for this case is complied in Table1.
  • 7. Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System… DOI: 10.9790/1676-10342331 www.iosrjournals.org 29 | Page Fig11: Monthly avg. electricity production Fig12: Optimal sizing results from homer (with battery storage as backup) Table 1: Detailed sizing and cost of each component (with battery storage as backup) 5.2 Case2-Without battery storage: In this case optimal sizing is done without specifying any minimum storage requirement. Monthly average production of electricity is shown in fig 13 and optimal sizing Homer window in fig 14 Sizing value of all sources and other components corresponding to minimum cost function are given in Table2. S.No. Wind turbine Solar PV panel DG set Battery Converter (Inverter/ Rectifier) Total sizing capacity 170 kW 50 kW 40 kW 52 kAh, 12 V 100 kW/100 kW Total Investment Cost 170 Lakh 62 lakh 16.62 lakh 48.43 lakh 7 lakh Total Operational Cost 90.72 lakh 26.62 lakh 102.12 lakh 43.1 lakh 4000/- Rs Total Replacement Cost 0 0 0 201 lakh 4.75 lakh Total fuel cost 0 0 93.5 lakh 0 0 Energy production in kWh/Year 639,880 17,396 44,677 86,657 0
  • 8. Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System… DOI: 10.9790/1676-10342331 www.iosrjournals.org 30 | Page Fig13: Monthly avg. electricity production Fig14: Optimal sizing results from homer (without battery storage) Table 2 : Detailed sizing and cost of each component (without battery storage ) For analysis of both cases, sizing value of component is compiled in Table 3 for each scenario. On considering battery storage as backup for supplying average load power for specified hours, per unit cost of energy is increasing but increment in cost is compensated by Loss of Power Supply Probability (LPSP), which is around 1 % case 1 much less than as case 2 (10 %). S.No. Wind turbine Solar PV panel DG set Battery Converter (Inverter/ Rectifier) Total sizing capacity 110 kW 140kW 30kW 0 100kW/100kW Total Investment Cost (in Rs) 137.1 lakh 174.5 lakh 12.46 lakh 0 7.79 lakh Total Operational Cost (in Rs) 90.31 lakh 77.68 lakh 31.15 lakh 0 4674 Rs Total Replacement Cost (in Rs) 0 0 15.11 lakh 0 5.28 lakh Total fuel cost (in Rs) 0 0 230.37lakh 0 0 Energy production (kWh/year) 414,038 48,710 102,420 0 0
  • 9. Optimal Configuration of Wind/Solar/Diesel/Battery Hybrid Energy System… DOI: 10.9790/1676-10342331 www.iosrjournals.org 31 | Page Table 2: Detailed sizing and cost of each component (without battery storage) V. Conclusion This paper discusses the optimal sizing of HES. Optimal sizing is done by taking into account the investment cost, operational cost and replacement cost of devices and fuel cost of DG set. The constraint for objective function is to electrify the selected area with reliable power at minimal cost. The obtained per unit energy cost of proposed system is much less as compare to diesel generator. The optimal sizing of system strongly depends solar and wind resource,(which can only be estimated on the basis of statistical data, or measured on site) and at the considered year of sizing, these has been taken into account. If large variation in the resource data occur than reliability of system can be reduced and results obtained may vary, therefore the application of above method may be limited to the pre-feasibility stage. However secondary source as DG set and battery backup storage are able to maintain the reliability of system if any acceptable variation occurs in resources data and load demand. Also inclusion of forecasting of these data, based on previous 5-10 years metrological data, can provide more appropriate figure as compared to considered one year data figure. References [1]. (2014, Mar.) [Online]. www.indianpowersector.com [2]. T. Urmee, D. Harries, and A. Schlapfer, "Issues related to rural electrification using renewable energy in developing countries of Asia and Pacific ," Renewable Energy , vol. 34, no. 2, pp. 354-357, 2009. [3]. S. R. Bull, "Renewable energy today and tomorrow," Proceedings of the IEEE, vol. 89, no. 8, pp. 1216-1226, Aug. 2001. [4]. A. Chauhan and R. P. Saini, "A review on Integrated Renewable Energy System based power generation for stand-alone applications: Configurations, storage options, sizing methodologies and control ," Renewable and Sustainable Energy Reviews , vol. 38, no. 0, pp. 99-120, 2014. [5]. J. E. M. S. Paiva and A. S. Carvalho, "An integrated hybrid power system based on renewable energy sources," in Industrial Electronics, 2009. IECON '09. 35th Annual Conference of IEEE, Nov. 2009, pp. 4548-4554. [6]. D. Yamegueu, Y. Azoumah, X. Py, and N. Zongo, "Experimental study of electricity generation by Solar PV/diesel hybrid systems without battery storage for off-grid areas ," Renewable Energy , vol. 36, no. 6, pp. 1780-1787, 2011. [7]. Y. Zhou, J. A. Ferreira, and P. Bauer, "Grid-connected and islanded operation of a hybrid power system," in Power Engineering Society Conference and Exposition in Africa, 2007. PowerAfrica '07. IEEE, Jul. 2007, pp. 1-6. [8]. A. B. Kanase-Patil, R. P. Saini, and M. P. Sharma, "Integrated renewable energy systems for off grid rural electrification of remote area ," Renewable Energy , vol. 35, no. 6, pp. 1342-1349, 2010. [9]. B. S. Borowy and Z. M. Salameh, "Methodology for optimally sizing the combination of a battery bank and PV array in a wind/PV hybrid system," Energy Conversion, IEEE Transactions on, vol. 11, no. 2, pp. 367-375, Jun. 1996. [10]. E. I. Vrettos and S. A. Papathanassiou, "Operating Policy and Optimal Sizing of a High Penetration RES-BESS System for Small Isolated Grids," Energy Conversion, IEEE Transactions on, vol. 26, no. 3, pp. 744-756, Sep. 2011. [11]. P. Bajpai, S. Kumar, and N. K. Kishore, "Sizing optimization and analysis of a stand-alone WTG system using hybrid energy storage technologies," in Energy and Sustainable Development: Issues and Strategies (ESD), 2010 Proceedings of the International Conference on, Jun. 2010, pp. 1-6. [12]. C. E. C. Nogueira, et al., "Sizing and simulation of a photovoltaic-wind energy system using batteries, applied for a small rural property located in the south of Brazil ," Renewable and Sustainable Energy Reviews , vol. 29, no. 0, pp. 151-157, 2014. [13]. C. S. Solanki, Solar Photovoltaics-Fundamentals, Technologies and Applications, second edition, 2nd ed. India: PHI, 2011. [14]. H. X. Yang, L. Lu, and J. Burnett, "Weather data and probability analysis of hybrid photovoltaic–wind power generation systems in Hong Kong ," Renewable Energy , vol. 28, no. 11, pp. 1813-1824, 2003. [15]. M. Bashir and J. Sadeh, "Size optimization of new hybrid stand-alone renewable energy system considering a reliability index," in Environment and Electrical Engineering (EEEIC), 2012 11th International Conference on, May 2012, pp. 989-994. [16]. L. Xu, X. Ruan, C. Mao, B. Zhang, and Y. Luo, "An Improved Optimal Sizing Method for Wind-Solar-Battery Hybrid Power System," Sustainable Energy, IEEE Transactions on, vol. 4, no. 3, pp. 774-785, Jul. 2013. [17]. D. Abbes, A. Martinez, and G. Champenois, "Eco-design optimisation of an autonomous hybrid wind photovoltaic system with battery storage," Renewable Power Generation, IET, vol. 6, no. 5, pp. 358-371, Sep. 2012.