# The Technical and Economic Study of Solar-Wind Hybrid Energy System in Coastal Area of Chittagong, Bangladesh

Authors: Shuvankar Podder; Raihan Sayeed Khan; Shah Md Ashraful Alam Mohon
Journal: Journal of Renewable Energy
 (2015)

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## Abstract

The size optimization and economic evaluation of the solar-wind hybrid renewable energy system (RES) to meet the electricity demand of 276 kWh/day with 40 kW peak load have been determined in this study. The load data has been collected from the motels situated in the coastal areas of Patenga, Chittagong. RES in standalone as well as grid connected mode have been considered. The optimal system configurations have been determined based on systems net present cost (NPC) and cost of per unit energy (COE). A standalone solar-wind-battery hybrid system is feasible and economically comparable to the present cost of diesel based power plant if 8% annual capacity shortage is allowed. Grid tied solar-wind hybrid system, where more than 70% electricity contribution is from RES, is economically comparable to present grid electricity price. Moreover, grid tied RES results in more than 60% reduction in greenhouse gases emission compared to the conventional grid. Sensitivity analysis has been performed in this study to determine the effect of capital cost variation or renewable resources variation on the system economy. Simulation result of sensitivity analysis has showed that 20% reduction of installation cost results in nearly 9%–12% reductions in cost of per unit energy.


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## Body

## 1. Introduction

The Government of Bangladesh has issued its Vision and Policy Statement in February 2008, to bring the entire country under electricity service by the year 2020 [1]. Presently, more than 40% of the total population do not have access to electricity [2]. The installed electricity generation capacity of the country is about 10,445 MW in 2014 [3]. At present, electricity demand growth in Bangladesh is about 10% annually which is expected to increase in the coming years. Due to gas shortage and inadequate addition of new generation plants in the past few years, demand of electricity has outpaced generation capacity resulting in persistent load-shedding [4].Present electricity generation scenario in Bangladesh is shown in Figure1. As the figure shows, 65% of total generated electricity comes from gas.Figure 1
Present electricity generation scenario in Bangladesh.Each year millions of tons of greenhouse gases (GHGs) are being emitted from fossil fuel based power plants. Although the per capita CO2 emission of Bangladesh is very low compared to developed countries [5], a report showed that the CO2 emission has increased from 0.1374 tons/capita in 1990 to 0.2667 tons/capita in 2007 [6]. Annual energy shortage and greenhouse gas emission, the two pressing problems, can be solved by installing renewable energy system (RES) such as solar, wind, biogas, and hydro.The present share of renewable energy in Bangladesh is only 1% [7]. This is due to the high initial cost compared to fossil fuel based system. But renewable energy based options become economically viable when environmental cost, health hazard, and lower operating cost are taken into consideration [1].The Government of Bangladesh has also declared its target of meeting five and ten percent of the total power demand using renewable energy by 2015 and 2020, respectively [1]. With this target at hand, government and some nongovernment organizations are conducting surveys. A joint survey by Local Government Engineering Department (LGED) and Chittagong University of Engineering and Technology (CUET) during early 2000 revealed that the average wind speed in the coastal areas of the country remains between 3 and 4.5 m/s in the months of March to September and 1.7–2.3 m/s for remaining period of the year [8]. This survey showed that the coastal areas and islands possess good potential for generating electricity from wind energy during March to September. The average sunshine data of these areas show that the period of bright (i.e., more than 200 W/m2 intensity) sunshine hours in the coastal region of Bangladesh varies from 3 to 11 hours daily and the global radiation varies from 3.8 kWh/m2/day to 6.4 kWh/m2/day [9]. This amount of radiation is sufficient to produce electricity using solar cells. Average wind speed at 25 m height studied by LGED under Solar and Wind Energy Resource Assessment (SWERA) project [8] and average solar radiation measured by NASA Surface Meteorology and Solar Energy (SSE) [10] for six coastal stations are shown in Table 1.Table 1
Average wind speed and average solar radiation at six coastal stations.
Location
Average wind speed(m/s)
Average solar radiation(kWh/m2/day)
Kuakata
4.52
4.55
Patenga
3.8
4.35
Charfassion (Bhola)
4.07
4.52
Cox’s Bazar
3.34
4.69
Teknaf
2.94
4.56
Noakhali
2.96
4.56Generating power from RES costs more than conventional fossil fuel based plants but the cost can be minimized by combining two or more renewable energy sources. A number of studies [11–14] showed that renewable energy based standalone hybrid systems are compatible with grid electricity for remote areas where grid extension is not feasible. The optimum size of RES to supply desired load is determined in studies [15, 16]. Alam Hossain Mondal and Sadrul Islam studied [17] the potential and viability of grid connected solar PV system in Bangladesh and found that cost of generating electricity from grid connected PV is comparable to grid connected fossil fuel based system. The optimization of hybrid energy systems for minimizing excess electricity and cost of energy is studied by Razak et al. [18].A solar-wind hybrid power system uses solar insolation and wind energy to produce electricity. As both solar radiation and wind speed vary throughout the year, neither solar nor wind based system can provide reliable electricity individually. Wind speed remains fairly high during June to August when solar insolation is low due to cloud cover. On the other hand, wind speed remains quite low during December to February when solar radiation on earth surface is fairly high to generate electricity. Thus hybridizing solar-wind system can be an alternative and reliable source of energy round the year. This hybrid system backed by storage elements/medium can supply electricity consistently and reliably. Wind-PV charge controllers regulate the charging of the energy before it is stored in the battery banks. An inverter converts the DC output of storage into AC of desired voltage and frequency.In this study mainly two issues are examined regarding solar-wind grid connected as well as standalone hybrid power system.(1)
Is solar-wind hybrid power system feasible with available renewable energy resources at the target location?
(2)
Which configuration (grid only, grid and RES hybrid, and RES only) provides the most economically viable solution, using net present cost (NPC) as the basis of comparison?


## 2. Tools

Hybrid Optimization of Multiple Energy Resources (HOMER) software [19] is chosen as the primary simulation tool for this study. This software is designed to simulate long-term operation of a combination of micropower system configurations that could include components like solar PV, wind, hydro, diesel generators and storage devices like battery banks. It can also model grid connected systems. The reason behind choosing this software is that it can perform the three major tasks. They are simulation, optimization, and sensitivity analysis. After simulating a number of combinations based on the data supplied by the user, HOMER suggests the optimal configuration based on the lowest net present cost (NPC). Sensitivity analysis enables the designer to determine the best combination of system components under different conditions.


## 3. Location of the Project

This study is done at Patenga (22.26°N, 91.8°E) which is a coastal area under Chittagong District. After assessing the potential of electricity generation from wind and solar resources in Chittagong coastal region, BPDB has planned to implement 50–200 MW wind power project at Parkybeach area, Anwara, which is 32.2 km away from Patenga [6]. This study is done considering community like office and hospitals where continuous electricity supply is essential and grid electricity is not reliable. Also, standalone RES can provide electricity to remote areas like motels along coastal areas where grid electricity is not available.


## 4. Renewable Resources

### 4.1. Solar Resources

Solar radiation data are essential elements in PV output calculation. The accuracy of the radiation data helps to provide accurate results. The target place is Patenga, Chittagong. But direct solar radiation data for Patenga is not available from Bangladesh Meteorological Department (BMD) or any other institution. A number of studies estimated solar radiation from bright sunshine hours [23–26], while other studies estimated solar irradiance from the measurement of cloud cover in the sky [27, 28]. As the data of bright sunshine hours of Patenga is available at BMD, in this study, solar radiation is calculated from hours of bright sunshine during a day.The popularly known Angstrom-Prescott regression equation [29] relating ratio of monthly average daily solar radiation to average daily extraterrestrial radiation and ratio of bright sunshine hours to total day length in hours is given by(1)
H
¯
H
¯
0
=
a
+
b
n
¯
N
¯
,where H
¯ is monthly average daily global radiation (Wh/m2/day), H
¯
0 is monthly average daily extraterrestrial radiation (Wh/m2/day), n is actual sunshine duration in a day (hours), N is monthly average maximum possible bright sunshine duration in a day (hours), and a, b are empirical coefficients.The values of monthly average daily global radiationH
¯ are obtained from daily measurement covering period 1983–2005 by NASA Surface Meteorology. The monthly average of daily hours of bright sunshine n is obtained from Bangladesh Meteorological Department (BMD) and monthly average of the maximum possible daily hours of sunshine or day length N is obtained from a weather based website [30].The method of least squares was used to obtain the constantsa and b. The estimated global solar radiation according to (1) and monthly solar radiation measured by NASA over Chittagong are shown in Figure 2. From the figure it is evident that measured radiation reported by NASA from the analysis of satellite captured image and estimated radiation are close enough. In this study estimated solar radiation is used in optimizing solar panel size.Figure 2
Estimated and measured solar radiation at Patenga.


### 4.2. Wind Resources

Just like solar radiation data, wind speed data are also essential for hybrid system analysis. Wind speed data are obtained from BMD [31]. HOMER requires four parameters to generate hourly wind speed from provided monthly wind speed data [32]. They are listed below. (i)
Weibull Value. The Weibull value k is a measure of distribution of wind speed over the year. In this study, the value of k  has taken 2.
(ii)
Autocorrelation Factor. The autocorrelation factor measures the randomness of the wind. Higher value indicates that the wind speed during an hour tends to depend strongly on the wind speed during the previous hour. Lower value means that the wind speed tends to fluctuate in a more random fashion from hour to hour. The autocorrelation factor value has taken 0.78.
(iii)
Diurnal Pattern Strength. The diurnal pattern strength indicates how strongly wind speed tends to depend on the time of a day. To measure this, average wind speed at each of the 24 hours over the year is calculated. HOMER then fits a cosine function to this diurnal profile. The diurnal pattern strength is equal to the ratio of the amplitude of the cosine wave to the average wind speed. The range of diurnal pattern strength is normally 0 to 0.4. In this study, considering wind speed moderately depends on the time of a day, the value of this parameter is chosen as 0.3.
(iv)
Hour of Peak Wind Speed. The time of day tends to be windiest on average throughout the year. In this study, 3 pm is used as the hour of peak wind speed. Figure 3 shows the monthly average wind speed, measured at the height of 10 m above ground level.Figure 3
Monthly average wind speed.


## 4.1. Solar Resources

Solar radiation data are essential elements in PV output calculation. The accuracy of the radiation data helps to provide accurate results. The target place is Patenga, Chittagong. But direct solar radiation data for Patenga is not available from Bangladesh Meteorological Department (BMD) or any other institution. A number of studies estimated solar radiation from bright sunshine hours [23–26], while other studies estimated solar irradiance from the measurement of cloud cover in the sky [27, 28]. As the data of bright sunshine hours of Patenga is available at BMD, in this study, solar radiation is calculated from hours of bright sunshine during a day.The popularly known Angstrom-Prescott regression equation [29] relating ratio of monthly average daily solar radiation to average daily extraterrestrial radiation and ratio of bright sunshine hours to total day length in hours is given by(1)
H
¯
H
¯
0
=
a
+
b
n
¯
N
¯
,where H
¯ is monthly average daily global radiation (Wh/m2/day), H
¯
0 is monthly average daily extraterrestrial radiation (Wh/m2/day), n is actual sunshine duration in a day (hours), N is monthly average maximum possible bright sunshine duration in a day (hours), and a, b are empirical coefficients.The values of monthly average daily global radiationH
¯ are obtained from daily measurement covering period 1983–2005 by NASA Surface Meteorology. The monthly average of daily hours of bright sunshine n is obtained from Bangladesh Meteorological Department (BMD) and monthly average of the maximum possible daily hours of sunshine or day length N is obtained from a weather based website [30].The method of least squares was used to obtain the constantsa and b. The estimated global solar radiation according to (1) and monthly solar radiation measured by NASA over Chittagong are shown in Figure 2. From the figure it is evident that measured radiation reported by NASA from the analysis of satellite captured image and estimated radiation are close enough. In this study estimated solar radiation is used in optimizing solar panel size.Figure 2
Estimated and measured solar radiation at Patenga.


## 4.2. Wind Resources

Just like solar radiation data, wind speed data are also essential for hybrid system analysis. Wind speed data are obtained from BMD [31]. HOMER requires four parameters to generate hourly wind speed from provided monthly wind speed data [32]. They are listed below. (i)
Weibull Value. The Weibull value k is a measure of distribution of wind speed over the year. In this study, the value of k  has taken 2.
(ii)
Autocorrelation Factor. The autocorrelation factor measures the randomness of the wind. Higher value indicates that the wind speed during an hour tends to depend strongly on the wind speed during the previous hour. Lower value means that the wind speed tends to fluctuate in a more random fashion from hour to hour. The autocorrelation factor value has taken 0.78.
(iii)
Diurnal Pattern Strength. The diurnal pattern strength indicates how strongly wind speed tends to depend on the time of a day. To measure this, average wind speed at each of the 24 hours over the year is calculated. HOMER then fits a cosine function to this diurnal profile. The diurnal pattern strength is equal to the ratio of the amplitude of the cosine wave to the average wind speed. The range of diurnal pattern strength is normally 0 to 0.4. In this study, considering wind speed moderately depends on the time of a day, the value of this parameter is chosen as 0.3.
(iv)
Hour of Peak Wind Speed. The time of day tends to be windiest on average throughout the year. In this study, 3 pm is used as the hour of peak wind speed. Figure 3 shows the monthly average wind speed, measured at the height of 10 m above ground level.Figure 3
Monthly average wind speed.


## 5. Electrical Load

Seasonal load profile of proposed area is shown in Figure4. Energy consumed by the hypothetical community is 276 kWh/day with a peak demand of 40 kW. Load profile is prepared by conducting survey on electricity consumption of tourist motels at Patenga. It is considered that day to day random variability is 15.2% and time step to time step variability is 20.4%. Demand is high during summer (March–September) and low during winter (October–February). Distribution system would be required for electric service regardless of whether the service is provided by grid or standalone RES. At present, utility is providing 11 kv line for new connection. So a 11 kv/220 v step-down transformer is required for grid connected system. Also an Automatic Transfer Switch (ATS) is required so that, in case of inadequate supply from RES, load is being connected automatically to standby grid electricity.Figure 4
Seasonal load profile of proposed area.


## 6. Hybrid System Component

### 6.1. Grid

In this study, grid connected renewable energy system is compared with grid only and RES only system. In the grid connected RES, grid is used as standby supply. When energy supply is inadequate from RES due to bad weather, electricity from grid is consumed. Distribution companies impose different charges for consuming electricity from grid during peak-hours, off-peak hours, and flat rate hours. For commercial and office buildings, charges determined by BPDB during different demand hours are shown in Table2 [33].Table 2
Electricity consumption charge for different sectors by BPDB.
Consumer
Time (local time)
Rate type
Rate (BDT/kWh)
Nonresidential CommercialOffice
11.00 am–5.00 pm
Flat
9
5.00 pm–12.00 am
Peak
11.85
12.00 am–11.00 am
Off-peak
7.22


### 6.2. Photovoltaic Array

The optimal PV array size in kW for concerned load is determined in this study. PV array size is dependent on technical and economical parameters of PV panel. It is assumed that PV panel output is linearly proportional to incident radiation. Technical parameters of PV array are shown in Table3. Economical parameters are shown in Table 6. Charge controller is required to control charging and discharging of battery by PV array current and as HOMER does not provide this option the price of charge controller is merged with PV panel price.Table 3
Technical parameters of PV array.
Output current
DC
Lifetime
20 years
Azimuth angle
0 degrees
Ground reflection
20%
Slope
22.05 degrees
Derating factor
85.50%


### 6.3. Wind Turbine

This study uses 10 kW wind turbine manufactured by Yangzhou Shenzhou Wind-Driven Generator Co., Ltd., China [34]. Technical parameters of the wind turbine are shown in Table 4. Economical parameters are shown in Table 6. Power curve of this turbine is shown in Figure 5. Lifetime of considered wind turbine has taken 9 years while the lifetime of wind turbines made by Bergey Excel, Vestas, spans from 15 to 20 years. Though replacement cost for this low lifetime turbine is high, it is found from HOMER simulation that, due to low capital cost, considered turbine provides low net present cost (NPC) compared to high quality wind turbines over project lifetime. Surface area requirements for wind turbines are assessed for this study using the National Renewable Energy Laboratory (NREL) wind turbine area measurement [35]. According to NREL, average land capacity density (capacity per unit area) is 3.0
±
1.7 MW/km2. Therefore area required for 1 kW wind turbine is roughly 0.00025 km2 or 250 m2.Table 4
Technical parameters of the wind turbine.
Rated power
10 kW
Hub height
25
Lifetime
9 years
Rotor diameter
8 m
Number of blades
3
Efficiency
0.85%Figure 5
Power curve of the wind turbine.


### 6.4. Battery and Inverter

As renewable resources like solar radiation and wind speed are seasonal, energy storage medium is required to get continuous supply of energy from RES. In case of grid connected RES electricity can be supplied reliably by using backup of(1)
grid supply,
(2)
deep cycle lead acid batteries.Electrosolar deep cycle, lead acid battery manufactured by Electro Solar Power Ltd., Bangladesh [36], is used in this study. Two batteries are connected in series to give 24 V DC bus. Technical parameters of this battery are given in Table 5. Economic parameters of this battery are shown in Table 6.Table 5
Technical parameters of electrosolar lead acid battery.
Nominal capacity
130 Ah
Nominal voltage
12 V
Round trip efficiency
80%
Minimum state of charge
40%
Float life
6 yrs
Maximum charge rate
0.4 A/Ah
Maximum charge current
52 A
Lifetime throughput
2230 kWh
Suggested value
2230 kWhTable 6
Economic parameters of system components.
Characteristics
PV module
Wind turbine
Battery
Converter
Model
Typical
EW10000
Electrosolar
Typical
Power
250 W
10 kW
Nominal voltage 12 V
2 kW
Nominal capacity 130 Ah
Lifetime
25 years
9 years
Lifetime throughput 2230 kWh
15 years
Capital
$355 [20]
$10000 [21]
$260
$730 [22]
Replacement
$300
$9,000
$260
$730
Maintenance
$7
$13
$12.50
$7Converter sizing is roughly in proportion to the size of the load it serves. Sizing for the case-study converters therefore ranged from 20 to 45 kW. Economic parameters of converter are shown in Table6.


## 6.1. Grid

In this study, grid connected renewable energy system is compared with grid only and RES only system. In the grid connected RES, grid is used as standby supply. When energy supply is inadequate from RES due to bad weather, electricity from grid is consumed. Distribution companies impose different charges for consuming electricity from grid during peak-hours, off-peak hours, and flat rate hours. For commercial and office buildings, charges determined by BPDB during different demand hours are shown in Table2 [33].Table 2
Electricity consumption charge for different sectors by BPDB.
Consumer
Time (local time)
Rate type
Rate (BDT/kWh)
Nonresidential CommercialOffice
11.00 am–5.00 pm
Flat
9
5.00 pm–12.00 am
Peak
11.85
12.00 am–11.00 am
Off-peak
7.22


## 6.2. Photovoltaic Array

The optimal PV array size in kW for concerned load is determined in this study. PV array size is dependent on technical and economical parameters of PV panel. It is assumed that PV panel output is linearly proportional to incident radiation. Technical parameters of PV array are shown in Table3. Economical parameters are shown in Table 6. Charge controller is required to control charging and discharging of battery by PV array current and as HOMER does not provide this option the price of charge controller is merged with PV panel price.Table 3
Technical parameters of PV array.
Output current
DC
Lifetime
20 years
Azimuth angle
0 degrees
Ground reflection
20%
Slope
22.05 degrees
Derating factor
85.50%


## 6.3. Wind Turbine

This study uses 10 kW wind turbine manufactured by Yangzhou Shenzhou Wind-Driven Generator Co., Ltd., China [34]. Technical parameters of the wind turbine are shown in Table 4. Economical parameters are shown in Table 6. Power curve of this turbine is shown in Figure 5. Lifetime of considered wind turbine has taken 9 years while the lifetime of wind turbines made by Bergey Excel, Vestas, spans from 15 to 20 years. Though replacement cost for this low lifetime turbine is high, it is found from HOMER simulation that, due to low capital cost, considered turbine provides low net present cost (NPC) compared to high quality wind turbines over project lifetime. Surface area requirements for wind turbines are assessed for this study using the National Renewable Energy Laboratory (NREL) wind turbine area measurement [35]. According to NREL, average land capacity density (capacity per unit area) is 3.0
±
1.7 MW/km2. Therefore area required for 1 kW wind turbine is roughly 0.00025 km2 or 250 m2.Table 4
Technical parameters of the wind turbine.
Rated power
10 kW
Hub height
25
Lifetime
9 years
Rotor diameter
8 m
Number of blades
3
Efficiency
0.85%Figure 5
Power curve of the wind turbine.


## 6.4. Battery and Inverter

As renewable resources like solar radiation and wind speed are seasonal, energy storage medium is required to get continuous supply of energy from RES. In case of grid connected RES electricity can be supplied reliably by using backup of(1)
grid supply,
(2)
deep cycle lead acid batteries.Electrosolar deep cycle, lead acid battery manufactured by Electro Solar Power Ltd., Bangladesh [36], is used in this study. Two batteries are connected in series to give 24 V DC bus. Technical parameters of this battery are given in Table 5. Economic parameters of this battery are shown in Table 6.Table 5
Technical parameters of electrosolar lead acid battery.
Nominal capacity
130 Ah
Nominal voltage
12 V
Round trip efficiency
80%
Minimum state of charge
40%
Float life
6 yrs
Maximum charge rate
0.4 A/Ah
Maximum charge current
52 A
Lifetime throughput
2230 kWh
Suggested value
2230 kWhTable 6
Economic parameters of system components.
Characteristics
PV module
Wind turbine
Battery
Converter
Model
Typical
EW10000
Electrosolar
Typical
Power
250 W
10 kW
Nominal voltage 12 V
2 kW
Nominal capacity 130 Ah
Lifetime
25 years
9 years
Lifetime throughput 2230 kWh
15 years
Capital
$355 [20]
$10000 [21]
$260
$730 [22]
Replacement
$300
$9,000
$260
$730
Maintenance
$7
$13
$12.50
$7Converter sizing is roughly in proportion to the size of the load it serves. Sizing for the case-study converters therefore ranged from 20 to 45 kW. Economic parameters of converter are shown in Table6.


## 7. System Economics, Constraints

The project lifetime is considered to be 25 years and the annual real interest rate 7.25% according to Bangladesh Bank [37]. The annual capacity shortage penalty and system fixed operation and maintenance costs are not considered. There are two types of dispatch strategies in HOMER, load following and cycle charging strategy. In the load following strategy, generators or grid supplies the power just to meet the demand that is not fulfilled by RES. On the other hand, in the cycle charging strategy, generators run at full capacity and any excess electricity is stored in batteries [38]. In the present work, load following strategy is considered. System fixed capital cost is assumed to be $1000 considering land cost, LT (low tension) grid side connection cost, and so forth. It is required to consider operating reserve in designing power system because electric load can fluctuate to a level above rated demand suddenly. A system that includes wind and solar power sources requires additional operating reserve to guard against such random increase in demand or shortage in renewable supply. Operating reserve is considered 10% of hourly load as recommended by Cotrell and Pratt [39].


## 8. Results

In this study, several system configurations are considered. Off-grid-RES and on-grid-RES are compared on the basis of economy with grid only system. The basic system configuration with all system elements considered in this study is shown in Figure6. For off-grid system, two scenarios regarding annual electricity shortage are considered. In the first scenario, no annual shortage is considered and, in the second scenario, 8% annual electricity shortage is considered. In the subsequent sections, optimization result and sensitivity result are shown for different configurations.Figure 6
Grid-RES hybrid system.


### 8.1. Grid Only System

In this case, the NPC is $129,209 over the project lifetime of 25 years. The cost of per unit energy (COE) is $0.113 at the 2014 electricity purchase rate. NPC increases in direct proportion to increase in electricity price. Greenhouse gas (GHG) emissions are 63,668 kg per year. The total electricity purchase from distribution companies for 1 year is 100,740 kWh. Figure7 shows the monthly purchase of electricity from grid.Figure 7
Monthly purchase of grid electricity.


### 8.2. RES Only System

HOMER simulation shows that a RES only configuration is technically feasible with available renewable resources. Search space (sizes and quantities to consider that is given as input) is shown in Table7. This search space is created after many trials and errors, eliminating inefficient entries to reduce simulation time.Table 7
Search space.
PV array(kW)
Wind turbine(EW10k) (quantity)
Battery(ElecSol12) (strings)
Converter(kW)
0
0
0
22
5000
9
40
25
15000
10
45
28
20000
11
50
30
25000
12
55
35
30000
13
60
40
35000
14
65
40000
16
70
50000
17
80
60000
18
90HOMER predicts that a configuration of 54 kW PV, 17 wind turbines (10 kW each), 40 kW converter, and 290 nos twelve (12) V batteries is the only economically feasible solution at zero annual electricity shortage. NPC of this configuration is $642,262 and COE is $0.56. On the other hand, if 8% annual electricity shortage is considered, a configuration of 11 wind turbines (10 kW each), 20 kW PV, a 25 kW converter, and 120 nos twelve (12) V batteries provides the lowest NPC of $317,591 (Table8, option 1). Another configuration of 14 WT with 25 kW converter and 130 nos batteries gives NPC of $338,676 (Table 8, option 2). If 125 Wp solar panel is considered, then 8 panels are needed to yield 1 kW PV array. Considering 125 Wp solar panel size 64.25 × 38.82 square inches [32] or 1.60915 square meters, 1 kW PV array covers 12.8732-square-meter area. So footprint required for PV-wind-battery hybrid system would be roughly 28050 square meters including spacing for battery banks and converters. Footprints required for wind-battery-converter hybrid system would be roughly 35250 square meters. The monthly average electricity production from PV-wind-battery hybrid system at 8% annual electricity shortage is shown in Figure 8.Table 8
RES only configuration optimization result.
PV(kW)
EW10k
ElecSol12
Conv.(kW)
Initialcapital
Operatingcost ($/yr)
TotalNPC
COE($/kWh)
Ren.frac.
Capacityshortage
20
11
120
25
$179,725
12,098
$317,591
0.292
1.00
0.08
14
130
25
$183,925
13,580
$338,676
0.311
1.00
0.08Figure 8
Monthly average electricity production in PV-WT configuration at 8% shortage.


### 8.3. Grid-RES Hybrid

From HOMER simulations it is found that grid tied RES is technically feasible with present renewable resource. It is also economically lucrative. Optimization result of simulation for this system configuration is shown in Table9. From Table 9 it is found that 6 grid tied wind turbines give an NPC of $147,899 which is 13.85% higher than that of the grid only configuration (Table 9, option 2). Renewable fraction (RF) for the configuration is 75%. COE is $0.129. Battery and inverter are not required in this configuration, as the grid network acts as the backup reserve. Greenhouse gas (GHG) emissions are 23,523 kg per year. Excess electricity is 23.4%. The addition of 5 kW of PV with 6 wind turbines increases the RF to 77% (option 4 in comparison to option 1). GHG emission in this option is 22,446 kg/year which is 64.75% less than grid only system. A comparison of GHGs emission for grid only, grid-wind, and grid-PV-wind system is shown in Table 10. The monthly average electricity production from grid-PV-wind hybrid system (option 4, Table 9) is shown in  Figure 9.Table 9
Grid-RES configuration optimization result.
PV(kW)
EW10k
ElecSol12
Conv.(kW)
Grid(kW)
Initialcapital
Operatingcost ($/yr)
TotalNPC
COE($/kWh)
Ren.frac.
10000
$1000
11,312
$129,909
0.113
0.00
5
22
10000
$16,255
11,241
$144,351
0.126
0.07
6
10000
$61,125
7,615
$147,899
0.129
0.75
5
6
22
10000
$76,255
7,882
$166,079
0.145
0.77Table 10
Comparison of greenhouse gas emissions of 3 systems.
Pollutant
Emissions (kg/yr)
Grid only system
Grid-wind system
Grid-PV-wind system
Carbon dioxide
63668
23523
22446
Carbon monoxide
0
0
0
Unburned hydrocarbons
0
0
0
Particulate matter
0
0
0
Sulfur dioxide
276
102
97.3
Nitrogen oxides
135
49.9
47.6Figure 9
Monthly average electricity production in grid-PV-WT configuration.A comparison between system configurations on the basis of economy is provided in Table11.Table 11
Economic comparison between different configurations.
System
PV(kW)
WT (10 kW)(quantity)
Battery(number)
Converter(kW)
NPC(BDT)
COE(BDT)
Renewable fraction
Grid only
129,909
0.113
0
PV-wind hybrid
20
11
120
25
317,591
0.292
1 (8% shortage)
Grid-wind hybrid
6
147,899
0.128
0.75
Grid-PV-wind hybrid
5
6
22
166,079
0.145
0.77


## 8.1. Grid Only System

In this case, the NPC is $129,209 over the project lifetime of 25 years. The cost of per unit energy (COE) is $0.113 at the 2014 electricity purchase rate. NPC increases in direct proportion to increase in electricity price. Greenhouse gas (GHG) emissions are 63,668 kg per year. The total electricity purchase from distribution companies for 1 year is 100,740 kWh. Figure7 shows the monthly purchase of electricity from grid.Figure 7
Monthly purchase of grid electricity.


## 8.2. RES Only System

HOMER simulation shows that a RES only configuration is technically feasible with available renewable resources. Search space (sizes and quantities to consider that is given as input) is shown in Table7. This search space is created after many trials and errors, eliminating inefficient entries to reduce simulation time.Table 7
Search space.
PV array(kW)
Wind turbine(EW10k) (quantity)
Battery(ElecSol12) (strings)
Converter(kW)
0
0
0
22
5000
9
40
25
15000
10
45
28
20000
11
50
30
25000
12
55
35
30000
13
60
40
35000
14
65
40000
16
70
50000
17
80
60000
18
90HOMER predicts that a configuration of 54 kW PV, 17 wind turbines (10 kW each), 40 kW converter, and 290 nos twelve (12) V batteries is the only economically feasible solution at zero annual electricity shortage. NPC of this configuration is $642,262 and COE is $0.56. On the other hand, if 8% annual electricity shortage is considered, a configuration of 11 wind turbines (10 kW each), 20 kW PV, a 25 kW converter, and 120 nos twelve (12) V batteries provides the lowest NPC of $317,591 (Table8, option 1). Another configuration of 14 WT with 25 kW converter and 130 nos batteries gives NPC of $338,676 (Table 8, option 2). If 125 Wp solar panel is considered, then 8 panels are needed to yield 1 kW PV array. Considering 125 Wp solar panel size 64.25 × 38.82 square inches [32] or 1.60915 square meters, 1 kW PV array covers 12.8732-square-meter area. So footprint required for PV-wind-battery hybrid system would be roughly 28050 square meters including spacing for battery banks and converters. Footprints required for wind-battery-converter hybrid system would be roughly 35250 square meters. The monthly average electricity production from PV-wind-battery hybrid system at 8% annual electricity shortage is shown in Figure 8.Table 8
RES only configuration optimization result.
PV(kW)
EW10k
ElecSol12
Conv.(kW)
Initialcapital
Operatingcost ($/yr)
TotalNPC
COE($/kWh)
Ren.frac.
Capacityshortage
20
11
120
25
$179,725
12,098
$317,591
0.292
1.00
0.08
14
130
25
$183,925
13,580
$338,676
0.311
1.00
0.08Figure 8
Monthly average electricity production in PV-WT configuration at 8% shortage.


## 8.3. Grid-RES Hybrid

From HOMER simulations it is found that grid tied RES is technically feasible with present renewable resource. It is also economically lucrative. Optimization result of simulation for this system configuration is shown in Table9. From Table 9 it is found that 6 grid tied wind turbines give an NPC of $147,899 which is 13.85% higher than that of the grid only configuration (Table 9, option 2). Renewable fraction (RF) for the configuration is 75%. COE is $0.129. Battery and inverter are not required in this configuration, as the grid network acts as the backup reserve. Greenhouse gas (GHG) emissions are 23,523 kg per year. Excess electricity is 23.4%. The addition of 5 kW of PV with 6 wind turbines increases the RF to 77% (option 4 in comparison to option 1). GHG emission in this option is 22,446 kg/year which is 64.75% less than grid only system. A comparison of GHGs emission for grid only, grid-wind, and grid-PV-wind system is shown in Table 10. The monthly average electricity production from grid-PV-wind hybrid system (option 4, Table 9) is shown in  Figure 9.Table 9
Grid-RES configuration optimization result.
PV(kW)
EW10k
ElecSol12
Conv.(kW)
Grid(kW)
Initialcapital
Operatingcost ($/yr)
TotalNPC
COE($/kWh)
Ren.frac.
10000
$1000
11,312
$129,909
0.113
0.00
5
22
10000
$16,255
11,241
$144,351
0.126
0.07
6
10000
$61,125
7,615
$147,899
0.129
0.75
5
6
22
10000
$76,255
7,882
$166,079
0.145
0.77Table 10
Comparison of greenhouse gas emissions of 3 systems.
Pollutant
Emissions (kg/yr)
Grid only system
Grid-wind system
Grid-PV-wind system
Carbon dioxide
63668
23523
22446
Carbon monoxide
0
0
0
Unburned hydrocarbons
0
0
0
Particulate matter
0
0
0
Sulfur dioxide
276
102
97.3
Nitrogen oxides
135
49.9
47.6Figure 9
Monthly average electricity production in grid-PV-WT configuration.A comparison between system configurations on the basis of economy is provided in Table11.Table 11
Economic comparison between different configurations.
System
PV(kW)
WT (10 kW)(quantity)
Battery(number)
Converter(kW)
NPC(BDT)
COE(BDT)
Renewable fraction
Grid only
129,909
0.113
0
PV-wind hybrid
20
11
120
25
317,591
0.292
1 (8% shortage)
Grid-wind hybrid
6
147,899
0.128
0.75
Grid-PV-wind hybrid
5
6
22
166,079
0.145
0.77


## 9. Sensitivity Analysis

In sensitivity analysis, system’s control parameters can be varied to examine the effect of control parameters on system’s performance. It helps the system designer to choose most economical system configuration for a given range of control parameters. In this study, two types of sensitivity variables are chosen to conduct sensitivity analysis.Firstly, solar and wind resources are varied from annual average value to determine the effect of resource variation on system economy. Secondly, the capital costs of PV panel and wind turbine are varied.It is known that the nature of renewable resource is intermittent. Average solar radiation on Patenga varies from year to year, though not significantly. The same is for wind speed, which fluctuates over the year. Random variability factor is also provided in resource input. Resources are varied to make suggestion about system economy if project location is changed.On the other hand, installation cost of PV array and wind turbine is decreasing over the decades. National Renewable Energy Laboratory (NREL) researchers showed that installation cost of renewable power system is undergoing a downward trend [40, 41]. For these reasons, PV and wind turbine capital costs are varied to determine the effect of capital cost variation on system economy.


### 9.1. Renewable Resource Variation

In Figure10, solar and wind resources are varied from annual average value to determine the effect of resource variation on system economy. In the x-axis we have plotted solar radiation and varied it from 3.8 kWh/m2/day to 6 kWh/m2/day. The reason behind choosing this range is that, according to Figure 2, the annual solar radiation varies within this range annually. The same goes for wind speed. According to Figure 3, the wind speed at target location varies from 2.5 m/s to 6 m/s annually. So this range for wind speed variation is used.Figure 10
Sensitivity result.Now the sensitivity analysis in the HOMER software finds out the most cost effective system for a given set of resources. In Figure10, when solar radiation is up to 4 kWh/m2/day, the wind-PV/battery system is more cost effective than wind/battery system for wind speed up to 4.4 m/s. If the wind speed is higher than that, the wind/battery system becomes more cost effective. Similarly, at solar radiation around 4.3 kWh/m2/day, the wind-PV/battery system is more cost effective than wind/battery system if the wind speed is less than or equal to 4.8 m/s. All the analyses are done with the consideration that maximum annual capacity shortage is 8%.


### 9.2. Capital Cost Variation

HOMER provides option of cost variation of system components. In this study, capital and replacement costs of PV and wind turbine are multiplied by scaling factors. When cost multipliers are provided, these factors are multiplied by given costs in the cost table. HOMER then simulates system with these varying prices and calculates NPC.The study [41] showed that per watt installation price of PV panel decreased by around 15% from 2010 to 2011 and around 30% from 2010 to 2012. On the other hand, another study [40] showed that cost of energy production in MWh from wind turbine reduces by around 62% from 1990 to 2000 and around 20% from 2000 to 2005. To include this trend in system size optimization, capital cost of PV panel and wind turbine is multiplied by 0.8 and 0.6, for all system configurations shown in Table 12. COE are reported when both PV panels and wind turbines capital cost are multiplied by the same factor.Table 12
COE of different system configurations with 3 different multipliers.
System
Capital multiplier
COE ($)
Grid/wind
1
0.129
0.8
0.112
0.6
0.096
Grid/PV/wind/inverter
1
0.145
0.8
0.127
0.6
0.109
Grid/PV/battery/inverter(5 kW PV, 22 kW inverter)
1
0.173
0.8
0.171
0.6
0.17
Grid/PV/wind/battery/inverter
1
0.192
0.8
0.174
0.6
0.156
PV/wind/battery/inverter
1
0.292
0.8
0.254
0.6
0.215From the table it is evident that 20% reduction of installation cost results in nearly 9%–12% reductions in cost of per unit energy.


## 9.1. Renewable Resource Variation

In Figure10, solar and wind resources are varied from annual average value to determine the effect of resource variation on system economy. In the x-axis we have plotted solar radiation and varied it from 3.8 kWh/m2/day to 6 kWh/m2/day. The reason behind choosing this range is that, according to Figure 2, the annual solar radiation varies within this range annually. The same goes for wind speed. According to Figure 3, the wind speed at target location varies from 2.5 m/s to 6 m/s annually. So this range for wind speed variation is used.Figure 10
Sensitivity result.Now the sensitivity analysis in the HOMER software finds out the most cost effective system for a given set of resources. In Figure10, when solar radiation is up to 4 kWh/m2/day, the wind-PV/battery system is more cost effective than wind/battery system for wind speed up to 4.4 m/s. If the wind speed is higher than that, the wind/battery system becomes more cost effective. Similarly, at solar radiation around 4.3 kWh/m2/day, the wind-PV/battery system is more cost effective than wind/battery system if the wind speed is less than or equal to 4.8 m/s. All the analyses are done with the consideration that maximum annual capacity shortage is 8%.


## 9.2. Capital Cost Variation

HOMER provides option of cost variation of system components. In this study, capital and replacement costs of PV and wind turbine are multiplied by scaling factors. When cost multipliers are provided, these factors are multiplied by given costs in the cost table. HOMER then simulates system with these varying prices and calculates NPC.The study [41] showed that per watt installation price of PV panel decreased by around 15% from 2010 to 2011 and around 30% from 2010 to 2012. On the other hand, another study [40] showed that cost of energy production in MWh from wind turbine reduces by around 62% from 1990 to 2000 and around 20% from 2000 to 2005. To include this trend in system size optimization, capital cost of PV panel and wind turbine is multiplied by 0.8 and 0.6, for all system configurations shown in Table 12. COE are reported when both PV panels and wind turbines capital cost are multiplied by the same factor.Table 12
COE of different system configurations with 3 different multipliers.
System
Capital multiplier
COE ($)
Grid/wind
1
0.129
0.8
0.112
0.6
0.096
Grid/PV/wind/inverter
1
0.145
0.8
0.127
0.6
0.109
Grid/PV/battery/inverter(5 kW PV, 22 kW inverter)
1
0.173
0.8
0.171
0.6
0.17
Grid/PV/wind/battery/inverter
1
0.192
0.8
0.174
0.6
0.156
PV/wind/battery/inverter
1
0.292
0.8
0.254
0.6
0.215From the table it is evident that 20% reduction of installation cost results in nearly 9%–12% reductions in cost of per unit energy.


## 10. Conclusion

From this study it is clear that, in case of off-grid system, the optimized PV-wind-battery hybrid system is more cost effective compared towind-alone system, PV alone system, and wind-PV hybrid system for the load with 8% annual capacity of shortage for this hypothetical system at the proposed site. From the sensitivity analysis, it is also clear that the major portion of the energy comes from wind. The sensitivity analysis also predicts that the reduction of installation cost of PV or wind energy system results in per unit electricity cost that is comparable to the grid electricity price. Furthermore, RES system can reduce GHG emission by a significant amount, thus being friendly to the environment. The analysis can be further improved and system economy can be determined more precisely if more related data like minute-wise load curve, land price, variable interest rate, and environmental hazard effects are taken into consideration. Nevertheless, the initial analysis suggests that grid-RES hybrid system is promising enough to justify further effort to collect additional data to perform a deeper analysis.



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*Source: 482543-2015-07-09.xml*