Scholarly article on topic 'Solar Energy Potential and Performance Assessment of CSP Plants in Different Areas of Iran'

Solar Energy Potential and Performance Assessment of CSP Plants in Different Areas of Iran Academic research paper on "Earth and related environmental sciences"

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{Assessment / CSP / "Direct normal irradiation ;Iran" / "Parabolic trough" / SAM / "Solar potential"}

Abstract of research paper on Earth and related environmental sciences, author of scientific article — M. Enjavi-Arsanjani, K. Hirbodi, M. Yaghoubi

Abstract Concentrating solar power (CSP) plants only exploit direct beam solar radiation in order to generate electricity. It is generally assumed that CSP systems are economic only for locations with direct normal irradiation (DNI) above 1800 kWh/m2/year(about 5 kWh/m2/day). In the present study, talented regions of Iran to install CSP plants are identified by using the available measured data of global horizontal irradiation (GHI) from 21 cities. A computational code converts the measured GHI to DNI and by comparing the calculated data, six most talented city areaof Iran are selected as the case study. By applying geographical, radiation and meteorological parameters to SAM software, the generation of electricity for a typical CSP plant for these locations are evaluated. The selected CSP plant is a parabolic trough (PT) power plant with capacity of 100MW and 6hour thermal storage. Results show that areas around the cities of Bandar-e Abbas, Bushehr, Esfahan, Kerman, Shiraz, and Yazd have more solar energy potential to establish CSP plants in Iran. Annual electricity power for these cities are calculated to be about 234GWh, 245GWh, 283GWh, 318GWh, 321 GWh and 318GWh, respectively. Furthermore, employment of solar energy in these areas for electricity generation, considerably conserve fossil fuels and reduces CO2 emission.Also, a comparison of DNI and power plant electricity generation in the 6 talented cities of Iran and 4 cities of Algeria are performed.

Academic research paper on topic "Solar Energy Potential and Performance Assessment of CSP Plants in Different Areas of Iran"

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Energy Procedia 69 (2015) 2039 - 2048

International Conference on Concentrating Solar Power and Chemical Energy Systems,

SolarPACES 2014

Solar energy potential and performance assessment of CSP plants in

different areas of Iran

M. Enjavi-Arsanjania, K. Hirbodia, M. Yaghoubiab*

aSchool of Mechanical Engineering, Shiraz University, Shiraz 71348-51154, Iran bThe Academy of Sciences, Tehran 15376-33111, Iran

Abstract

Concentrating solar power (CSP) plants only exploit direct beam solar radiation in order to generate electricity. It is generally assumed that CSP systems are economic only for locations with direct normal irradiation (DNI) above 1800 kWh/m2/year (about 5 kWh/m2/day). In the present study, talented regions of Iran to install CSP plants are identified by using the available measured data of global horizontal irradiation (GHI) from 21 cities. A computational code converts the measured GHI to DNI and by comparing the calculated data, six most talented city area of Iran are selected as the case study. By applying geographical, radiation and meteorological parameters to SAM software, the generation of electricity for a typical CSP plant for these locations are evaluated. The selected CSP plant is a parabolic trough (PT) power plant with capacity of 100 MW and 6 hour thermal storage. Results show that areas around the cities of Bandar-e Abbas, Bushehr, Esfahan, Kerman, Shiraz, and Yazd have more solar energy potential to establish CSP plants in Iran. Annual electricity power for these cities are calculated to be about 234 GWh, 245 GWh, 283 GWh, 318 GWh, 321 GWh and 318 GWh, respectively. Furthermore, employment of solar energy in these areas for electricity generation, considerably conserve fossil fuels and reduces CO2 emission. Also, a comparison of DNI and power plant electricity generation in the 6 talented cities of Iran and 4 cities of Algeria are performed.

© 2015TheAuthors. Published by ElsevierLtd.This is an open access article under the CC BY-NC-ND license (http://creativecommons.Org/licenses/by-nc-nd/4.0/).

Peer review by the scientific conference committee of SolarPACES 2014 under responsibility of PSE AG Keywords: Assessment; CSP; Direct normal irradiation; Iran; Parabolic trough; SAM; Solar potential

* Corresponding author. Tel.: +98 71 32301672; fax: +98 71 36287508. E-mail address: yaghoubi@shirazu.ac.ir, yaghoubi.md@gmail.com

1876-6102 © 2015 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Peer review by the scientific conference committee of SolarPACES 2014 under responsibility of PSE AG doi:10.1016/j.egypro.2015.03.216

1. Introduction

Energy demand has a significant growth in the recent century due to population growth, development programs and attempt of growth in developing countries as well as new industrial growth in the globe. Fossil fuels have the main role to supply this energy requirement among different types of energy sources. Unavailability of fossil fuel in all regions, high cost, their depletion and air pollution are the most disadvantages of fossil fuels consumption. As a solution to these concerns, development and implementation of new energy resources like nuclear and renewable energies are undeniable. Solar energy as one of the most accessible and reliable renewable energies has experienced an extensive development in the last two decades. Lower cost and higher production efficiency of CSP leads to extend CSP in commercial scale in several countries. CSP technologies exist in four forms; Parabolic Trough, Dish Stirling, Concentrating Linear Fresnel Reflector and Solar Power Tower, among which, solar power tower and parabolic trough are the two main approaches of a large-scale application of CSP systems.

Establishment of a CSP plant requires pre-feasibility study which is included solar energy resource, cost and water supply analysis. The first step in pre-feasibility of CSP plants is solar energy potential assessment. Total solar horizontal energy, GHI, consists of two terms; Beam Horizontal Irradiation (BHI) and Diffuse Horizontal Irradiation (DHI). The CSP technologies only exploit DNI (BHl/cos(z), where z is zenith angle) to produce electricity and CSP plants have economic justifiability only for locations with DNI above 1800 kWh/m2/year [1]. The NREL's SAM software (System Advisor Model) is able to evaluate the plant's energetic and economic performances. SAM software receives the geographical, meteorological and radiation data like latitude, temperature and DNI and by simulating the CSP system, presents desirable outputs such as annual energy output, capacity factor and efficiency.

Several researches have studied CSP plants for different consideration in some countries. Abbas et al. [2] had an assessment of a 100 MW plant for electricity generation based on parabolic trough technology in four typical sites of Algerian climate conditions by using SAM software. Donaji et al. [3] used SAM to assess an annual production between the parabolic trough systems and power tower in Mexico and Spain. Malagueta et al. [4] simulated four types of 100 MW CSP plants with parabolic troughs (simple plants, plants with hybridization and plants with thermal energy storage) based on the SAM at two sites: Bom Jesus da Lapa and Campo Grande. Purohit [5] had a techno-commercial feasibility of four types of CSP plants for 23 locations in India. Izquierdo et al. [6] studied the effect of the solar multiple, the capacity factor and the storage capacity on the cost of electricity from CSP plants. Le Fol et al. [7] first determined suitable areas for CSP and estimated the CSP ceiling generation and subsequently, offered a map of the Levelized Cost of Electricity (LCOE) for a 50 MW CSP plant.

In the present study, DNI for 21 cities of Iran is calculated by available measured data of GHI. By comparing the calculated data, 6 city areas of Bandar-e Abbas, Bushehr, Esfahan, Kerman, Shiraz and Yazd which are more convenient to establish CSP plant are selected as the case study. By using SAM software and applying the calculated value of DNI and the selected meteorological data, output of electricity power for a typical CSP plant with capacity of 100 MW and 6 hour thermal storage for these locations is calculated. Based on electricity generation, values of CO2 emission reduction and preservation of natural gas are also estimated. Furthermore, a comparison of DNI and power plant electricity generation in the 6 talented cities of Iran and 4 cities of Algeria are performed.

Nomenclature

Gsc solar constant (W/m2) KJ clearness index

H daily irradiation (J/m2) Kj monthly average clearness index

Ho daily extraterrestrial irradiation (J/m2) n day of the year

Hd daily diffuse irradiation (J/m2) ndk day of the month

H monthly average irradiation (J/m2) ndm number of days of the month

Ho monthly average extraterrestrial irradiation (J/m ) z zenith angle (radians)

I hourly radiation (J/m2) Ô declination angle (radians)

Ib hourly beam irradiation (J/m2) t latitude (radians)

Id hourly defuse irradiation (J/m2) m hour angle (radians)

Idn hourly direct normal irradiation (J/m2) ®s sunset hour angle (radians)

2. Methodology

To convert available GHI data into hourly database, a computational code according to the previously mentioned methodology in literature is employed. This methodology is based on the clearness index (KT), which is the ratio between daily radiation in a horizontal surface and the extraterrestrial radiation. The selected procedure is also used by Larrain et al. [8] and is described essentially by Duffie and Beckmann [9] to precede the calculations.

First it is necessary to compute monthly average clearness index (KT) for each month and location, which is defined in [10] as:

K T =-

Where H is monthly average radiation and H0 is monthly average extraterrestrial radiation, computed for each day and location by the following formula which is presented in [9]:

„ 24x3600xG ( 360«Y ,,, , . . , , . ...

—0 =-—11 + 0.033cos ^ N cos(^Jcos(^Jsm(®s J + ®s sin(0Jsm(£JJ

Here, GSC is the solar constant, which is the energy of the sun per unit time, received on a unit area of a surface perpendicular to the propagation direction of the radiation, at mean earth-sun distance, outside of the atmosphere. A value for GSC of 1367 (W/m2) is used in this paper. Also n is the n-day of the year, ^ is the latitude in radians, ^ is the declination angle in radians, and ms is the sunset hour angle in radians. The declination angle is defined by the equation of Cooper [11] as:

S = 23.45sinI 360

284 + n 365

And the sunset hour angle, when the incidence angle is 90°, needed for CSP plants [12], is defined as: cos (es ) = - tan (^)tan (<5)

Then, it's assigned a special distribution to the frequency of days with a value of the clearness index KT. To obtain a daily clearness index, Santos et al. [13] defines daily KT as:

KT =- ln

eXP (rKT,min )"

eXP (rKT,max )

Where ndk is the day of the month, ndm is the number of days of the month and y is a dimensionless parameter given by:

y - -1.498 +

1.184|-27.182exp (-1.5^)

K — K

T,min T,max

Where f is also a dimensionless parameter given by:

K — K

T,min T,max KT,min " K T

The values of KTmin and KTmax are given by:

KT = 0.6313 + 0.267Kt-11.9 ÎKT -0.75)

i,max \ t i

K^min = 0.05

(8) (9)

Solving above equations for a specific location, artificial months with artificial daily radiations (H) are created, where months are arranged from lowest to highest H. Although this procedure neglects the autoregressive nature of solar radiation, according to Larrain et al. [8], it can be used as a first approximation that, nevertheless, constitutes an improvement from monthly mean computations.

The daily diffuse radiation (Hd) is defined by Erbs correlations in [12], depending on the sunset hour angle (®s). According to [12] the daily total diffuse fraction is defined as:

Hd 11.0 -0.2727KT + 2.4495KT2 - 11.9514KT3 + 9.3879KT4 For ©s < 81.4° : = \ T T T T

KT > 0.715

KT < 0.715

H 10.143

Hd 11.0 + 0.2832KT - 2.5557KT2 + 0.8448KT3 And for ©s > 81.4° : —- = > T T T

KT < 0.715

H |0.175 , KT > 0.715

With H and Hd calculated for each day, hourly radiation (I) is obtained by the ratio of hourly to daily total radiation (rt), which is defined as the following equation from [9] as a function of hour angle (m) and sunset hour angle («s):

r - — ~—{a + bcosf®)) ' H 24V V "

cos cos (®s )

n(a, )-[ nC°i- Icos®s v s> 1180 ) s

Where constants a and b are given by:

a = 0.409 + 0.5016sin[ m -

b = 0.6609 - 0.4767sin[ m -

60n 180

Then, based on [10] and [14] assumption that ld/Hd is the same as 10/H0, where I0 is the hourly extraterrestrial radiation, the hourly diffuse radiation Id is obtained with the ratio of hourly diffuse to daily diffuse radiation rd as:

cos (»)- cos (®s )

■ / \ I sm (®s J-^ — 1 cos®s

Hourly beam radiation (7b) is calculated by subtracting Id from I and finally, hourly DNI (I^) is determined by Eq. (17). In this equation, z is zenith angle.

I b -1 -1 d

Idn ="

(16) (17)

3. Results

3.1. Solar energy potential assessment

One of the aims of this study is assessment of solar energy potential for various areas of Iran to establish CSP plant; hence, 21 cities in different locations of Iran are selected. These cities with their coordinates are presented in Table 1.

Table 1. Some main cities and their location latitude and longitude of Iran (degrees)

City (Latitude,Longitude) City (Latitude,Longitude) City (Latitude,Longitude)

Bandar-e Abbas (27.18,56.27) Karaj (35.84,51.01) Shiraz (29.62,52.53)

Birjand (32.86,59.20) Kerman (30.28,57.08) Tabas (33.60,56.92)

Bojnurd (37.48,57.33) Kermanshah (34.31,47.07) Tabriz (38.07,46.30)

Bushehr (28.97,50.83) Khur (33.78,55.08) Tehran (35.70,51.42)

Esfahan (32.63,51.65) Mashhad (36.30,59.60) Yazd (31.90,54.37)

Hamedan (34.80,48.52) Orumiyeh (37.56,45.07) Zahedan (29.50,60.86)

Jask (25.64,57.77) Ramsar (36.90,50.66) Zanjan (36.68,48.48)

In order to analyze solar radiation of these cities, average GHI is determined according to measured data for a period of 10 years. The mean GHI values per square meter per month for the selected cities are shown in Fig. 1. This figure shows that nearly in all considered cities, the mean GHI is more than 1600 kWh/m2.

750 500 250 -0

s f s s s * s s

Fig. 1. Average monthly global irradiance in the selected locations of Table 1

Solar map provided by solarGIS organization is depicted in Fig. 2. Acquired GHI values by this figure have a good agreement with the calculated mean GHI. According to the average GHI and other weather condition like the value of humidity and aerosol, six city areas of Bandar-e Abbas, Bushehr, Esfahan, Kerman, Shiraz and Yazd are the best locations to establish a CSP plant. These 6 cities are specified in the solar map, Fig. 2.

Global Horizontal Irradiation [ran

« 1200 1400 1600 1600 2000 2200 > kWh/m2 SoiarGIS©2012Get>ModelSo!ars.r.o.

Fig. 2. Solar map of Iran [15] with position of the selected city areas for CSP plant

Since the CSP plants only accept direct solar beam, hourly value of GHI, DNI and DHI are calculated by a computational code developed with the method described in section 2. As an example, the hourly GHI and DNI values for Shiraz is shown in Fig. 3.

Fig. 3. Hourly values of GHI and DNI in a year for Shiraz, Iran

3.2. CSP plant performance assessment

The analysis of a parabolic trough power plant performance is carried out by using National Renewable Energy Laboratory's (NREL) SAM software [16]. SAM provides modeling capability for several technologies including the parabolic trough technologies [17]. SAM combines an hourly simulation model with performance, cost and finance models to calculate energy output, energy costs and cash flows. The selected parabolic trough power plant has a capacity of 100 MW and 6 hour thermal storage. Other design characteristics are presented in Tables 2 and 3.

Table 2. Specification of parabolic trough collectors selected for simulating the power plant_

Parameters

Parameters

Collector type Luz LS-3 Number of modules per assembly 12

Aperture width 5.75 m Length of single module 8.33 m

Reflective aperture area per SCA 545 m2 Mirror reflectivity 0.94

Length of collector assembly 100 m Focal length 2.1 m

Table 3. Design characteristics of the proposed parabolic trough power plant [2]

Characteristics Value Characteristics Value

Total plant capacity 100 MWe Absorber tube outer diameter 0.07 m

Total land area 3,152,501 m2 Glass envelope outer diameter 0.12 m

Condenser type Air-cooled Absorber material type 304 L

Collectors and Solar field HTF type VP-1

Total field reflector area 861,590 m2 Design loop outlet temperature 391°C

Number of loops 198 Design loop inlet temperature 293°C

Single loop aperture 4360 m2 Thermal Energy Storage (TES)

Solar multiple 2 Full load hours of TES 6 hours

Row spacing 15 Storage type Two tank

Number of field subsections 2 Storage fluid Solar salt

Thermal receiver and HTF properties Storage volume 26268.7 m3

Receiver type Schott PTR70 2008 Tank diameter 40.9 m

Absorber tube inner diameter 0.066 m Tank loss coefficient 0.4 W/m2.K

The results of SAM simulation are shown in Figs. 4 and 5. Figure 4 illustrates the annual energy flow that includes incident solar radiation, thermal energy from solar field, thermal energy to power block, gross electric output and net electric output for the considered city areas. The annual electricity generated by the parabolic trough plant is about 234 GWh, 245 GWh, 283 GWh, 318 GWh, 321 GWh and 318 GWh for Bandar-e Abbas, Bushehr, Esfahan, Kerman, Shiraz and Yazd, respectively. It can be seen that Shiraz and Yazd have higher electricity generation which is due to their higher received solar radiation and better weather conditions.

8 2000 le"

§ 1500 >-

¡5 1000

H Total incident solar radiation HTermal energy from solarfield u Thermal energyto power block H Gross electric output H Net electric output

Bandar-e Abbas Bushehr Esfahan Kerman Shiraz yazd

Fig. 4. The parabolic trough power plant waterfall chart, yearly performance and potentials for the selected areas

Fig. 5. Monthly energy generation for the selected sites during a year

Monthly electricity generation of the selected cities are shown in Fig. 5 and accordingly the amount of electricity generation has the same trend of solar radiation changes in different months and the best result belongs to month of

Gross electric output and some other annual performance parameters of the parabolic trough plant like the capacity factor and global efficiency is summarized on Table 4 for the selected cities. Note that the capacity factor is the ratio of the system's predicted electrical output in the first year of operation to the nameplate output, which is equivalent to the quantity of energy the system would generate if it operated at its nameplate capacity for every hour of the year.

Table 4. Annual performance parameters of the proposed parabolic trough power plant based on Tables 2 and 3

Annual performance parameters Value

Bandar-e Abbas Bushehr Esfahan Kerman Shiraz Yazd

Gross electric output (GWh/year) 268.2 281.0 322.5 362.0 363.0 362.8

Capacity factor (%) 26.7 28.0 32.3 36.4 36.6 36.3

Global efficiency (solar to electricity (%)) 15.5 15.3 14.9 15.8 15.9 15.6

3.3. Comparison of results

An assessment of solar parabolic trough power plant for electricity generation in the 4 cities of Algeria is done in [2]. A comparison of DNI and electricity generation of parabolic trough power plant in the 6 selected cities of Iran and 4 cities of Algeria (Tamanrasset, Bechar, Ghardaia and Algiers) is shown in Fig. 6. This figure illustrates that highest and lowest solar potentials belong to the cities of Tamannrassat and Algiers of Algeria.

I DNI (kWh/m2/year) u Electricity generation (GWh/year)

Bushehr

Esfaha

Yazd Tamanrasset Bechar -> <-

Cities of Iran Cities of Algeria

Fig. 6. Comparing the DNI and electricity generation in cities of Iran and Algeria

Ghardaia

375 gj

300 ej

225 ro

3.4. CO2 mitigation and fuel preservation

Renewable energy plants such as CSP plants help to preserve fossil fuels and result in CO2 reduction. An amount of 28.32 m3 natural gas is needed to generate 1 kWh electricity [18] and 1 kWh electricity generation is equivalent to 0.63 kg CO2 (0.35 m3) emission [19]. Table 5 shows the amount of reducing CO2 emission and natural gas preservation for the considered plant in the selected cities.

Table 5. The amount of yearly CO2 mitigation and fuel preservation for parabolic trough in the selected cities (m3)

Bandar-e Abbas Bushehr Esfahan Kerman Shiraz Yazd

Natural gas preservation 7,594,546,080 7,956,787,200 9,132,520,320 10,251,443,520 10,280,131,680 10,275,204,000

CO2 mitigation 93,859,150 98,336,000 112,866,600 126,695,100 127,049,650 126,988,750

Table 5 illustrates that yearly values of fossil fuel conservation is considerable. Such amount of natural gas can be used for better quality and higher conversion efficiency materials. Table 5 also indicates that utilizing solar energy can help the country's plan to reduce CO2 emission which is very high presently due to the current power plant with fossil fuel consumption.

4. Conclusion

The first step of pre-feasibility study for the establishment of a parabolic trough power plant is implemented in this study. By using the measured GHI data for 21 cities of Iran, 6 city areas with higher solar potential are selected. Simulation is done for a 100 MW parabolic trough power plant with 6 hour thermal storage by SAM software. Outputs show that:

1- The site of Shiraz area has the highest potential to generate electricity and Bandar-e Abbas (at Persian Gulf) has the lowest potential.

2- From the sites analyzed; Shiraz, Yazd and Kerman have area with higher solar radiation as illustrated in the solarGIS map. All these areas suffer from water shortage and therefore dry cooling tower are the best condensing system for these locations.

3- The vast arid land around these areas as shown in the solarGIS map is the main advantage of the above sites.

4- Fossil fuel consumption can reduce considerable in these areas and CO2 emission reduces in line of sustainable development program.

5- Both Iran and Algeria are in the sun-belt region of the world, and computations indicate that there is good opportunity to harness solar energy for electricity generation in both countries.

Acknowledgements

The authors acknowledge the financial assists of Iran's National Elite Foundation. References

[1] Müller-Steinhagen H, Trieb F. Concentrating solar power. A review of the technology Ingenia Inform QR Acad Eng 2004;18:43-50.

[2] Abbas M, Belgroun Z, Aburidah H, Merzouk N K. Assessment of a solar parabolic trough power plant for electricity generation under Mediterranean and arid climate conditions in Algeria. Energy Procedia 2013;42:93-102.

[3] Donaji M A, Lourdes G M. Comparative study of concentrated solar power plants with Solar Advisor Model. SolarPACES 2010; Perpignan, France2010.

[4] Malagueta D, Szklo A, Soria R, Dutra R, Schaeffer R, Moreira Cesar Borba B S. Potential and impacts of concentrated solar power (CSP) integration in the Brazilian electric power system. Renewable Energy 2014;68:223-35.

[5] Purohit I. Techno-economic aspects of concentrating solar power (CSP) in India.

[6] Izquierdo S, Montañés C, Dopazo C, Fueyo N. Analysis of CSP plants for the definition of energy policies: the influence on electricity cost of solar multiples, capacity factors and energy storage. Energy Policy 2010;38:10-6215-21.

[7] Le Fol Y, Ndhlukula K. Potential and future of concentrating solar power in Namibia. Journal of Energy in Southern Africa 2013;24:1-90-8.

[8] Larraín T, Escobar R, Vergara J. Performance model to assist solar thermal power plant siting in northern Chile based on backup fuel consumption. Renewable Energy 2010;35:8-1632-43.

[9] Duffie J A, Beckman W A. Solar engineering of thermal processes: John Wiley & Sons; 2013.

[10] Liu B Y, Jordan R C. The interrelationship and characteristic distribution of direct, diffuse and total solar radiation. Solar Energy 1960;4:3-1-19.

[11] Cooper P. The absorption of radiation in solar stills. Solar Energy 1969;12:3-333-46.

[12] Erbs D, Klein S, Duffie J. Estimation of the diffuse radiation fraction for hourly, daily and monthly-average global radiation. Solar Energy 1982;28:4-293-302.

[13] Santos J, Pinazo J, Cañada J. Methodology for generating daily clearness index index values Kt starting from the monthly average daily value Kt. Determining the daily sequence using stochastic models. Renewable Energy 2003;28:10-1523-44.

[14] Aguiar R, Collares-Pereira M. TAG: a time-dependent, autoregressive, Gaussian model for generating synthetic hourly radiation. Solar Energy 1992;49:3-167-74.

[15] GeoModel Solar. [cited 2014 23 Feb]; Available from: http://www.solargis.info/doc/_pics/freemaps/1000px/ghi/SolarGIS-Solar-map-Iran-en.png.

[16] National Renewable Energy Laboratory (NREL). [cited 2014 23 Feb]; Available from: http://www.nrel.gov/analysis/sam.

[17] Gilman P, Blair N, Mehos M, Christensen C, Janzou S, Cameron C. Solar advisor model user guide for version 2.0: National Renewable Energy Laboratory; 2008.

[18] U.S. Energy Information Administration (eia). [cited 2014 12 Mar]; Available from: http://www.eia.gov/tools/faqs/.

[19] Brander M, Sood A, Wylie C, Haughton A, Lovell J. Electricity-specific emission factors for grid electricity. Emissionsfactorcom 2011.