# Technoeconomic Analysis of Ducted Wind Turbines and Their Slow Acceptance on the Market

Authors: Peace-Maker Masukume; Golden Makaka; David Tinarwo
Journal: Journal of Renewable Energy
 (2014)

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## Abstract

The encasing of wind turbines in a duct to enhance performance is not new. A ducted wind turbine produces more power than an unducted wind turbine of the same parameters. A number of approaches in studying the effects of diffusers and other wind concentrating devices have been done and have resulted in a number of prototypes produced but without any commercialization. The aim of this paper is to investigate the failure of commercialization of ducted turbines. A technical and economic analysis of a ducted turbine is also presented. The work shows that traditional economic methods used to evaluate ducted wind turbines are erroneous; they do not account for external effects of power generation and individual and community benefits derived from this technology. Failure to penetrate the market is due to negative publicity as a result of the erroneous evaluation undertaken and lack of appropriate engineering techniques to protect ducted wind energy systems in extreme wind conditions.


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## Body

## 1. Introduction

The quest for sustainable and environmentally friendly methods of electric generation and the oil crisis experienced in late 1973 have fueled the shift to renewable energy sources. This has seen a tremendous growth in renewable energy technologies. Global power capacity from renewables increased by 75% between 2004 and 2008 [1]. The total power capacity from renewables as in 2008 was 280 GW and of this 121 GW is from wind power. Wind power has been the fastest growing renewable energy sector. This exponential growth in wind power is a result of its low cost which is relatively low when compared with other renewable energy sources [2].South Africa’s energy intensive economy depends greatly on fossil fuels for energy generation and consumption with almost 90% coal based electricity generation and is ranked among the top 20 emitters of greenhouse gasses in the world and as the largest emitter in Africa [3]. However, South Africa is endowed with abundant renewable resources. Besides the vast solar resource characteristic, South Africa has more than a thousand kilometer long coastline with abundant wind resource potential. The wind speeds along the coastline are greater than or equal to 4 m/s at 10 m and 8,5 m/s at 50 m. The rest of the country is characterized by wind speeds between 3 and 4 m/s and further north wind speeds are as low as less than 3 m/s [4]. Most rural locations are situated in these low wind speed areas and in most cases have no access to national grid electricity. Supplies of other nonrenewable sources of energy are also either unavailable, unreliable, or, for many, too expensive [5].It is from this background that the use of power augmentation devices becomes necessary to exploit low wind speeds and thus meet electrical needs of most rural people. The encasing of wind turbines in a duct or “shroud” in order to enhance their performance dates back to the 1950s [6], when it was recognized that a shroud augmented wind turbine can produce up to twice the power of unshrouded turbine of the same diameter. Research work in this field has taken a number of approaches in studying the effects of diffusers and other wind concentrating devices [7]. Varied conclusions were drawn from these studies with some claiming that the Betz limit can be surpassed with a ducted wind turbine [8]. Some substantial amount of research has been done with regard to diffusers and other concentrating devices but without any commercial success [9]. Several prototypes have been developed but according to Phillips [10] the addition of the shroud has however a bearing on the cost of energy because it has significant increase in material, fabrication, transportation, and erection costs. This idea has among other factors impacted negatively the commercialization of ducted wind turbines. As is illustrated in this paper, it is not the cost of energy that has impacted negatively on the commercialization of ducted turbines.


## 2. Materials and Method

### 2.1. Decentralized Wind Energy Systems

A common decentralized power supply from small wind energy systems consists of wind electric generator, battery bank, inverter, wind turbine controller, control panels, interconnecting cables, and civil work. Two decentralized small wind energy systems are under construction. One of the systems is a common small wind energy system as explained above and is referred to as SWES in this paper. The other system is the ducted small wind energy system and is referred to as DSWES in this paper. Both systems have a 1 kW wind electric generator. The main difference between the two is that the DSWES has a shroud and its accompanying couplings which houses the wind electric generator. The shroud is being constructed from a 0.5 mm aluminium sheet. Figure1 shows a DSWES shroud under construction. The construction and assembling is being done with the aid of our Science Workshop.Figure 1
DSWES shroud under construction.A schematic diagram of a common decentralized small wind energy system (DSWES/SWES) is shown in Figure2.Figure 2
Schematic diagram of typical DSWES/SWES.All the materials used to construct the DSWES/SWES were bought locally except the wind electric generators. The cost of these items was taken as part of the capital cost of the project as explained below. Table1 shows the materials used for each system and the corresponding costs.Table 1
Materials and corresponding costs for the DSWES and SWES.
Item
DSWES
SWES
Cost (US$)
Cost (US$)
Wind turbine generator
575.00
575.00
Charge controller
250.00
250.00
Battery bank
200.00
200.00
Inverter
115.00
115.00
Tower and accessories
50.00
40.00
Aluminum sheets
45.00
—
Aluminum bars
9.00
—
Bearing
5.00
—
Bracket
3.00
—
Miscellaneous items (bolts, civil works, cables, labour, etc.)
101.00
45.00
Total
1 353.00
1 225.00The technoeconomic analysis of wind turbines requires that the annual energy delivered by the wind electric generators be determined. The amount of electrical energy produced depends, among other factors, on the speed of the wind. Wind speed is site specific and depends on several geographical and climatic conditions. Wind resource assessment requires some considerable investment of time and money. In this study the mean annual wind speed obtained from our local weather station of 5 m/s and the corresponding full load hours (number of hours in a year that the wind turbine operates at rated power) of 1900 hours were used. The rated power output of the wind electric generator was used to estimate the annual energy delivered by the SWES according to (3). To estimate the annual energy delivered by the DSWES, the results published by Matsushima et al. [11] were used with some modifications. They found out that their trial ducted turbine had an output power of 1.16 times that of a bare wind turbine when the turbine was allowed to yaw and 1.65 when the turbine was fixed. The average of the two, that is, 1.4 times, has been used in this paper.


### 2.2. Economic Analysis

Literature has alluded to the fact that ducted wind turbines’ slow commercialization is due to the high cost of energy attributed to this technology. In this section calculations of the cost of energy of a ducted wind turbine and a bare wind turbine are shown, compared, and contrasted. Unlike in conventional power plants, the cost of energy in both DSWES and SWES is determined by two major components, namely, capital costs and operation and maintenance costs. Capital cost comprises the cost of the wind electric generator, wind turbine controller, battery bank, inverter, and miscellaneous (control panels, interconnecting cables, civil works, etc.) and for the DSWES it adds the cost of the shroud (accessories and assembling). As shown in Table1, the materials for the shroud and its assembling added 10% to the capital cost of the DSWES. Like any other industrial equipment both the DSWES and the SWES require operation and maintenance (O&M) costs; these include the provision for repair and spare parts and maintenance of the electric installation. In this study, O&M of the SWES were assumed to be 2% of the capital costs of the SWES, while 4% was assumed for the DSWES. Some of the assumed values are given in Table 2.Table 2
Base values used for the comparison of the LUCE of the DSWES and the SWES.
Input parameter
SWES
DSWES
Useful life of wind electric generator (years)
20
20
Useful life of wind turbine inverter and controller (years)
10
10
Useful life of civil works (years)
20
20
Useful life of battery bank (years)
7
7
Annual O&M of DSWES/SWES as a fraction of its capital cost
0.02
0.04
Discount rate as a fraction
0.10
0.10
Source: Nouni et al. [13].The comparison of the cost of energy of the DSWES and the SWES was done using the levelized unit cost of energy (LUCE). The following expression as suggested by Kandpal and Garg [12] was used:
(1)
LUCE
=
R
wg
C
wg
+
R
b
C
b
+
R
ic
C
ic
+
R
mis
C
mis
+
m
o
C
DSWES
E
,
where (a)
C
wg, C
b, C
ic, C
mis, and C
DSWES
/
SWES are capital costs of wind generator, battery bank, inverter and controller, miscellaneous, and DSWES/SWES, respectively;
(b)
R
wg, R
b, R
ic, R
mis are recovery factors for wind generator, battery bank, inverter and controller, and miscellaneous of the DSWES/SWES, respectively;
(c)
E is the annual electrical energy of the system, calculated according to  (3).The recovery factor (R) is defined by
(2)
R
=
d
1
+
d
T
1
+
d
T
-
1
,
where d is the discount rate and T is the useful lifetime.The annual energy delivered by the wind electric generator is estimated by [13]
(3)
E
=
∑
v
cut-in
v
cut-out
P
V
NH
V
,
where P
(
V
) is electrical power output of the wind electric generator at a particular speed V (as obtained from the power curve of wind electric generator) and NH(V) is the number of hours in a year for which wind speed at the site was observed to be V (as observed from wind speed frequency distribution curve of the site).However, for this study, the rated power (1 kW) of the wind electric generators and the full load hours (1900 hrs) as explained above were used to determine the annual energy delivered by the bare wind turbine and the annual energy delivered by the DSWES is 1.4 times that of the bare wind turbine as explained in Section2.1.


### 2.3. Technical Aspects

One important factor which is thought to have contributed to slow commercialization of ducted wind turbines is the immense wind loading on the duct during storm conditions [14]. Ducted wind turbines still need to meet engineering requirements to withstand wind loading in extreme wind conditions; that is, they must be able to resist overturning and bending during extreme wind speeds. FloDesign now known as Ogin had its test ducted wind turbine broken down in 2011 by the Hurricane Irene [15].In high winds, conventional wind turbines “feather” away the blades to protect them from damage. This principle does not work in ducted wind turbines since the blades are housed in the duct. FloDesign after its disastrous experience has put flaps on the duct which close down in a storm [15]. It is still to be seen if it can stand the test of time.The duct is of high solidity and has poor drag characteristics. This leads to poor response to wind direction changes. The ducted system can turn to face the wind direction but cannot accurately adjust itself if wind direction changes frequently in a short period [11]. Therefore, the concentrating effect will be difficult to achieve in this regard and renders the whole system ineffective.


## 2.1. Decentralized Wind Energy Systems

A common decentralized power supply from small wind energy systems consists of wind electric generator, battery bank, inverter, wind turbine controller, control panels, interconnecting cables, and civil work. Two decentralized small wind energy systems are under construction. One of the systems is a common small wind energy system as explained above and is referred to as SWES in this paper. The other system is the ducted small wind energy system and is referred to as DSWES in this paper. Both systems have a 1 kW wind electric generator. The main difference between the two is that the DSWES has a shroud and its accompanying couplings which houses the wind electric generator. The shroud is being constructed from a 0.5 mm aluminium sheet. Figure1 shows a DSWES shroud under construction. The construction and assembling is being done with the aid of our Science Workshop.Figure 1
DSWES shroud under construction.A schematic diagram of a common decentralized small wind energy system (DSWES/SWES) is shown in Figure2.Figure 2
Schematic diagram of typical DSWES/SWES.All the materials used to construct the DSWES/SWES were bought locally except the wind electric generators. The cost of these items was taken as part of the capital cost of the project as explained below. Table1 shows the materials used for each system and the corresponding costs.Table 1
Materials and corresponding costs for the DSWES and SWES.
Item
DSWES
SWES
Cost (US$)
Cost (US$)
Wind turbine generator
575.00
575.00
Charge controller
250.00
250.00
Battery bank
200.00
200.00
Inverter
115.00
115.00
Tower and accessories
50.00
40.00
Aluminum sheets
45.00
—
Aluminum bars
9.00
—
Bearing
5.00
—
Bracket
3.00
—
Miscellaneous items (bolts, civil works, cables, labour, etc.)
101.00
45.00
Total
1 353.00
1 225.00The technoeconomic analysis of wind turbines requires that the annual energy delivered by the wind electric generators be determined. The amount of electrical energy produced depends, among other factors, on the speed of the wind. Wind speed is site specific and depends on several geographical and climatic conditions. Wind resource assessment requires some considerable investment of time and money. In this study the mean annual wind speed obtained from our local weather station of 5 m/s and the corresponding full load hours (number of hours in a year that the wind turbine operates at rated power) of 1900 hours were used. The rated power output of the wind electric generator was used to estimate the annual energy delivered by the SWES according to (3). To estimate the annual energy delivered by the DSWES, the results published by Matsushima et al. [11] were used with some modifications. They found out that their trial ducted turbine had an output power of 1.16 times that of a bare wind turbine when the turbine was allowed to yaw and 1.65 when the turbine was fixed. The average of the two, that is, 1.4 times, has been used in this paper.


## 2.2. Economic Analysis

Literature has alluded to the fact that ducted wind turbines’ slow commercialization is due to the high cost of energy attributed to this technology. In this section calculations of the cost of energy of a ducted wind turbine and a bare wind turbine are shown, compared, and contrasted. Unlike in conventional power plants, the cost of energy in both DSWES and SWES is determined by two major components, namely, capital costs and operation and maintenance costs. Capital cost comprises the cost of the wind electric generator, wind turbine controller, battery bank, inverter, and miscellaneous (control panels, interconnecting cables, civil works, etc.) and for the DSWES it adds the cost of the shroud (accessories and assembling). As shown in Table1, the materials for the shroud and its assembling added 10% to the capital cost of the DSWES. Like any other industrial equipment both the DSWES and the SWES require operation and maintenance (O&M) costs; these include the provision for repair and spare parts and maintenance of the electric installation. In this study, O&M of the SWES were assumed to be 2% of the capital costs of the SWES, while 4% was assumed for the DSWES. Some of the assumed values are given in Table 2.Table 2
Base values used for the comparison of the LUCE of the DSWES and the SWES.
Input parameter
SWES
DSWES
Useful life of wind electric generator (years)
20
20
Useful life of wind turbine inverter and controller (years)
10
10
Useful life of civil works (years)
20
20
Useful life of battery bank (years)
7
7
Annual O&M of DSWES/SWES as a fraction of its capital cost
0.02
0.04
Discount rate as a fraction
0.10
0.10
Source: Nouni et al. [13].The comparison of the cost of energy of the DSWES and the SWES was done using the levelized unit cost of energy (LUCE). The following expression as suggested by Kandpal and Garg [12] was used:
(1)
LUCE
=
R
wg
C
wg
+
R
b
C
b
+
R
ic
C
ic
+
R
mis
C
mis
+
m
o
C
DSWES
E
,
where (a)
C
wg, C
b, C
ic, C
mis, and C
DSWES
/
SWES are capital costs of wind generator, battery bank, inverter and controller, miscellaneous, and DSWES/SWES, respectively;
(b)
R
wg, R
b, R
ic, R
mis are recovery factors for wind generator, battery bank, inverter and controller, and miscellaneous of the DSWES/SWES, respectively;
(c)
E is the annual electrical energy of the system, calculated according to  (3).The recovery factor (R) is defined by
(2)
R
=
d
1
+
d
T
1
+
d
T
-
1
,
where d is the discount rate and T is the useful lifetime.The annual energy delivered by the wind electric generator is estimated by [13]
(3)
E
=
∑
v
cut-in
v
cut-out
P
V
NH
V
,
where P
(
V
) is electrical power output of the wind electric generator at a particular speed V (as obtained from the power curve of wind electric generator) and NH(V) is the number of hours in a year for which wind speed at the site was observed to be V (as observed from wind speed frequency distribution curve of the site).However, for this study, the rated power (1 kW) of the wind electric generators and the full load hours (1900 hrs) as explained above were used to determine the annual energy delivered by the bare wind turbine and the annual energy delivered by the DSWES is 1.4 times that of the bare wind turbine as explained in Section2.1.


## 2.3. Technical Aspects

One important factor which is thought to have contributed to slow commercialization of ducted wind turbines is the immense wind loading on the duct during storm conditions [14]. Ducted wind turbines still need to meet engineering requirements to withstand wind loading in extreme wind conditions; that is, they must be able to resist overturning and bending during extreme wind speeds. FloDesign now known as Ogin had its test ducted wind turbine broken down in 2011 by the Hurricane Irene [15].In high winds, conventional wind turbines “feather” away the blades to protect them from damage. This principle does not work in ducted wind turbines since the blades are housed in the duct. FloDesign after its disastrous experience has put flaps on the duct which close down in a storm [15]. It is still to be seen if it can stand the test of time.The duct is of high solidity and has poor drag characteristics. This leads to poor response to wind direction changes. The ducted system can turn to face the wind direction but cannot accurately adjust itself if wind direction changes frequently in a short period [11]. Therefore, the concentrating effect will be difficult to achieve in this regard and renders the whole system ineffective.


## 3. Results and Discussion

The price of wind energy depends very much on the institutional setting in which wind energy is delivered. This is a key element to include in any debate about the cost of wind energy; however, this element falls away in this study because the institutional setting has been assumed to be the same for both systems. Table3 shows the annual energy output and the corresponding LUCE of the DSWES and the SWES.Table 3
Estimated annual energy output and corresponding LUCE of the DSWES and the SWES.
System type
Annual energy output (kWh)
LUCE (US cents/kWh)
SWES
1 900
30
DSWES
2 660
26The study shows that the LUCE of ducted turbines compares favourably with that of bare wind turbines. At a wind speed of 5 m/s, the cost of energy from the DSWES is 13% cheaper compared to the SWES. This results from the output energy of the DSWES which is 1.4 times that of the SWES.The cost of wind energy varies with wind speed. Figure3 shows the variation of the cost of wind energy with wind speed. In both cases, the cost of energy decreases with the increase in wind speed. The annual energy output in high wind speed areas is high and from (1) it is evident that LUCE decreases with increase in annual energy.Figure 3
LUCE for the DSWES and SWES for varying mean wind speeds.As shown in Table3, the annual energy delivered by the ducted wind turbine is 1.4 times greater than the bare wind turbine. It follows that the amount of CO2, NOx, SOx, and water avoided is greater for the ducted wind turbine. Considering that wind energy saves 696 g of CO2 per kWh of electrical energy delivered [16] and factoring in the carbon price of $23 per tonne of CO2 as suggested by the Clean Energy Regulator [17] makes the ducted wind turbine even more favourable. Figure 4 shows the variation of CO2 avoided with annual energy delivered. It clearly shows that a ducted wind turbine avoids more CO2 as compared to a bare wind turbine.Figure 4
Annual carbon dioxide avoided from the DSWES and SWES for varying annual energy production.Producing electricity from wind energy reduces the consumption of fossil fuels and therefore leads to emission savings. As indicated above each kWh of electricity produced from wind avoids 696 g of carbon dioxide. Conventional power plants also emit nitrous oxides, sulphur dioxide, and methane. These wastes are freely dumped but generate costs for others in the form of lung diseases and damage from acid rain and global warming [18]. Producing electricity from wind also saves a lot of water. Conventional power utilities use millions of liters of water per day.Current engineering cost models do not take these savings into account. They also do not consider disease risk reduction from wind energy. If all these factors could be considered the cost of energy from a ducted wind turbine will be even cheaper than that from the bare wind turbine because it avoids more carbon dioxide and saves more water, and its susceptibility to diseases reduction is higher.The lack of state-of-the-art engineering techniques to protect ducted wind turbines in extreme wind conditions and the inability of ducted wind turbines to accurately follow wind direction changes are thought to have in a way contributed to the slow commercialization of ducted wind turbines.


## 4. Conclusion

The study has illustrated that the average LUCE of the ducted wind turbine is US 0.26/kWh compared to US 0.30/kWh of the bare wind turbine. The calculation did not take into account savings in CO2, wastes associated with conventional power production and their related external effects, and saved amount of water. Taking these factors into account would make ducted wind turbines even more favourable. It is regrettable that current engineering economic models do not take these elements into account. Failure of ducted wind turbines to penetrate the market is in part due to negative publicity as a result of the erroneous evaluation undertaken. Lack of appropriate engineering techniques to protect ducted wind turbines in extreme wind conditions and the inability of ducted wind energy systems to accurately follow the wind direction are also thought to have contributed to the slow commercialization of ducted wind turbines.



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*Source: 951379-2014-12-10.xml*