ESMAP TECHNICAL PAPER 005 Field Performance Evaluation of Amorphous Silicon (a-Si) Photovoltaic Systems in Kenya: Methods and Measurements in Support of a Sustainable Commercial Solar Energy Industry Energy Sector Management Assistance Programme August 2000 rnES ^ QAAA D FILE COPY Papers in the ESMAP Technical Series are discussion documents, not final project reports. They are subject to the same copyrights as other ESMAP publications. JOINT UNDP I WORLD BANK ENERGY SECTOR MANAGEMENT ASSISTANCE PROGRAMME (ESMAP) PURPOSE The Joint UNDP/World Bank Energy Sector Management Assistance Programme (ESMAP) is a special global technical assistance program run as part of the World Bank's Energy, Mining and Telecommunications Department. ESMAP provides advice to governments on sustainable energy development. Established with the support of UNDP and bilateral official donors in 1983, it focuses on the role of energy in the development process with the objective of contributing to poverty alleviation, improving living conditions and preserving the environment in developing countries and transition economies. ESMAP centers its interventions on three priority areas: sector reform and restructuring; access to modern energy for the poorest; and promotion of sustainable energy practices. GOVERNANCE AND OPERATIONS ESMAP is governed by a Consultative Group (ESMAP CG) composed of representatives of the UNDP and World Bank, other donors, and development experts from regions benefiting from ESMAP's assistance. The ESMAP CG is chaired by a World Bank Vice President, and advised by a Technical Advisory Group (TAG) of four independent energy experts that reviews the Programme's strategic agenda, its work plan, and its achievements. ESMAP relies on a cadre of engineers, energy planners, and economists from the World Bank to conduct its activities under the guidance of the Manager of ESMAP, responsible for administering the Programme. FUNDING ESMAP is a cooperative effort supported over the years by the World Bank, the UNDP and other United Nations agencies, the European Union, the Organization of American States (OAS), the Latin American Energy Organization (OLADE), and public and private donors from countries including Australia, Belgium, Canada, Denmark, Germany, Finland, France, Iceland, Ireland, Italy, Japan, the Netherlands, New Zealand, Norway, Portugal, Sweden, Switzerland, the United Kingdom, and the United States of America. FURTHER INFORMATION An up-to-date listing of completed ESMAP projects is appended to this report. For further information, a copy of the ESMAP Annual Report, or copies of project reports, contact: ESMAP c/o Energy, Mining and Telecommunications Department The World Bank 1818 H Street, NW Washington, DC 20433 U.S.A. Field Performance Evaluation of Amorphous Silicon (a-Si) Photovoltaic Systems in Kenya: Methods and Measurements in Support of a Sustainable Commercial Solar Energy Industry A PROJECT OF Energy Alternatives Africa (EAA) & Renewable Appropriate Energy Laboratory (RAEL) and the Energy and Resources Group (ERG), University of California, Berkeley Richard D. Duke+' 1, Shannon Graham+, Mark Hankins*, Arne Jacobson+, Daniel M. Kammen+, Bernard Osawa*, Simone Pulver+, and Erika Walther+ *Energy Alternatives Africa P. 0. Box 76406, Nairobi, Kenya Tel: +254-2-254-714623 or 716287 * Fax: +254-2-720909 * Email: energyaf@,iconnect.co.ke + Renewable and Appropriate Energy Laboratory (RAEL) & Energy and Resources Group (ERG) 310 Barrows Hall, University of California, Berkeley CA 94720-3050 USA Tel: +1-510-642-1139 * Fax: +1-510-642-1085 * Email: dkammen@socrates.berkeley.edu * Internet: ht p:H!socrates.berkelev.edu/-rael/aSikenya.htmnl Science, Technology and Environmental Studies (STEP) Programn Woodrow Wilson School, Princeton University Address Correspondence to the Team Leaders: Mark Hankins and Daniel M. Kammen Joint UNDP/World Bank Energy Sector Management Assistance Programme (ESMAP) Copyright ( 1999 The International Bank for Reconstruction and Development/THE WORLD BANK 1818 H Street, N.W. Washington, D.C. 20433, U.S.A. All rights reserved Manufactured in the United States of America First printing August 2000 ESMAP Reports are published to communicate the results of the ESMAP's work to the development community with the least possible delay. The typescript of the paper therefore has not been prepared in accordance with the procedures appropriate to formal documents. Some sources cited in this paper may be informal documents that are not readily available. The findings, interpretations, and conclusions expressed in this paper are entirely those of the author(s) and should not be attributed in any manner to the World Bank, or its affiliated organizations, or to members of its Board of Executive Directors or the countries they represent. The World Bank does not guarantee the accuracy of the data included in this publication and accepts no responsibility whatsoever for any consequence of their use. 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Contents Acknowledgements ................................................................. iii Executive Summary .................................................................1 Market Background ................................................................3 Quality Concerns .................................................................4 Project and Methodology Description ................................................................6 Sample Characterization .................................................................7 Module Testing Results ..................................................................9 Customer Knowledge ................................................................ 12 Outdoor Testing Facility ................................................................ 13 System Design ................................................................ 14 Balance of System Equipment ................................................................ 16 Economic Analysis ................................................................ 16 Implications for Market Development ................................................................. 19 Policy Recommendations ................................................................. 20 Conclusions ................................................................ 21 References ................................................................ 23 Figures Figure 1. Sales of Amorphous Silicon and Crystalline Silicon PV Modules in Kenya .................3 Figure 2. I-V Curves Showing Staebler-Wronski Degradation for a "Brand B2" 12 Wp a-Si PV Module .................................................................5 Figure 3. I-V Curve Performance for a "Brand A" 12 Wp a-Si Module ................. ......................6 Figure 4. I-V Curve Performance for a "Brand C2" 14 Wp a-Si Module ......................................7 Figure 5. Field Data Collection Sites In Kenya ............................................8.....................8 Figure 6. Average Measured Power Output for Five Brands of a-Si Modules in Kenya ............. 10 Figure 7. Linear Regression of Module Output vs. Age for "Brand A" and "Brand B 1 " a-Si Modules ................................................................ 12 Figure 8. Combined Effects of Non-Ideal Tilts and Shading on Actual Solar Energy Collected ................................................................ 15 Figure 9. Cost of Off-Grid Electricity Options as a Function of Household Discount Rate ....... 19 Tables Table 1. Summary of Module Performance for Working a-Si Modules ........................................9 Table 2. Failure Rates for a-Si Modules from Field Tests in Kenya .................... ....................... 11 Table 3. Retail Price per Rated Wp for Small Amorphous Silicon and Crystalline Photovoltaic Modules ................................................................ 13 i Acknowledgements The authors would like to thank Daniel Kithokoi, David Khisa, and Frederick Ochieng for their expert assistance, as well as all of the technicians including Henry Watitwa, Maina Mumbi, Steven Kanyingi, Simon Wachira Kimani, Dikson Kisoa, and James Muita who provided field data collection support. We also appreciate the cooperation and assistance provided by the relevant a-Si PV module manufacturers and a number of solar related businesses in Kenya. Perhaps most of all, we are indebted to the many Kenyan families who graciously allowed us into their homes to make our data collection possible. We are also grateful to many members of the international photovoltaics community: most notably Phil Covell, Frans Nieuwenhout, and Frank van der Vleuten for providing insightful review comments on previous drafts of this report; NREL for solar simulator testing services; Adam Payne for various expert consultations; and Rick Mayberry of Performance Data Systems for developing our custom testing equipment. We also express our gratitude to the Dexter Environmental Trust for their generous funding, without which this project would not have been possible. The US Environmental Protection Agency also provided important support to one of the authors during the project through the Science to Achieve Results (STAR) Fellowship. Finally, we dedicate this work to our good friend and colleague, David Khisa. He contributed greatly to this project as both a fine professional and friend. May he rest in peace. iii Executive Summary Kenya has an active market for photovoltaic (PV) solar home systems (SHSs), with cumulative sales in excess of 100,000 units, and current sales of approximately 20,000 modules per year. Small, 10 to 14 Watt single junction amorphous silicon (a-Si) modules dominate this market, largely due to their lower retail price relative to similar sizes of crystalline PV modules. Amorphous silicon modules sell for approximately US$ 5.00 per rated peak Watt (Wp) in Kenya, while most brands of similarly sized crystalline modules sell for approximately US$ 8.00 per rated Wp. Despite this commercial success, there is substantial concern about the performance of single junction thin-film a-Si-both because of the technology's uneven quality record and the uncertainty introduced by short-term degradation which occurs when this type of PV module is initially exposed to the sun. To address these concerns, in 1999 an interdisciplinary research team from the Energy and Resources Group at the University of California at Berkeley, Princeton University, and Energy Alternatives Africa from Nairobi, Kenya, conducted a study of the long- term field performance of single junction a-Si PV modules in Kenya. This study confirms that modules made by two of the three companies that dominate the Kenyan a-Si PV market offer long-term performance roughly comparable to crystalline PV. Thus, quality brands of single junction a-Si modules provide a highly cost-effective alternative to crystalline modules for SHSs-especially for households only willing or able to purchase a relatively small system. There are, however, concerns about the susceptibility of available single junction a-Si modules to physical breakage. More importantly, one manufacturer has built a one-third share of the Kenyan a-Si market while selling modules with substantially inferior performance. The success of this brand despite its considerably higher price per measured Wp suggests that rural consumers are ill-equipped to compare the relative performnance of different module brands. Some combination of public information, certification/labeling, standards (e.g. equipment quality requirements for accessing PV loan funds or government restrictions on uncertified modules), and new SHS business models (e.g. fee-for-service) may prove helpful in educating and protecting consumers, thereby ensuring that this market reaches its potential. There are, however, risks and limitations associated with each of these mechanisms that necessitate a cautious approach. 1 Field Performance Evaluation of Amorphous Silicon (a-Si) Photovoltaic Systems in Kenya: Methods and Measurements in Support of a Sustainable Commercial Solar Energy Industry Market Background Kenya has an active solar home systems (SHSs) market, with cumulative sales in excess of 100,000 units and current sales of about 20,000 systems per year-all without any substantial subsidy and with only minimal programmatic support. There are more than 40 independent import and manufacturing companies, as well as hundreds of vendors, installers, and after-sales providers to serve this demand. When the SHSs market emerged in the mid-1980s, typical systems used crystalline (x-Si) modules of 40 Wp (Acker and Kammen, 1996). In 1989, however, 10 Wp amorphous silicon (a- Si) modules entered the market, capturing the majority of SHSs sales within five years (van der Plas and Hankins, 1998). Since then, total a-Si sales in Kenya have increased dramatically, from 10 kWp in 1989 to 270 kWp in 1998 (Figure 1). Figure 1. Sales of Amorphous Silicon and Crystalline Silicon PV Modules in Kenya 300- - ,--.--j----,--- - 250- _ amorphous silicon PV .t ~~~~~~-) crystalliiie PVm| 0 0 1 00 I - - 0 0 , 200- t 2 t ; (east-west facing orientations) | +- t 4- 40I (D30 ---iL 0-50 55 60 65 70 75 80 85 90 95 100 actual/ideal (%) annual average daily solar energy Actual annual average daily solar energy collected at each panel is expressed as a percentage of the total possible annual solar energy available at the site. North facing orientations present the worst case scenario and east-west facing orientations are the best case. 15 Voltage losses due to wire sizing never exceeded 2.5% for any of the systems in our sample; however, only 34% had battery terminals, with the remainder using alligator style clips or simply wrapping exposed wires around their battery terminals. We also found that all of the systems that used battery terminals had tight connections vs. only 20% of the batteries without terminals, and 36% of the batteries had corrosion on or near the wiring connections. These are important correctable design and maintenance issues because significant voltage losses can occur from loose or corroded connections. Balance of System Equipment Batteries made by Associated Battery Manufacturers (ABM) made up the largest share of our survey sample with 71% of the batteries identified. ABM batteries trade under various names including Chloride Exide, Thomas White, and Dagenite. Automotive and Industrial Battery Manufacturers (AIBM) made up the next largest share of our sample, with 18% of the batteries identified, all from their Jua Tosha and Voltmaster lines. Low electrolyte levels were generally not a major problem for batteries tested in our survey, probably because the low charging currents from the 10 to 14 Wp a-Si solar modules relative to the average size of the batteries will rarely result in out-gassing of the batteries' electrolyte. It is possible to make a rough estimate of state of charge (SOC) by measuring the specific gravity of the electrolyte in the cells. These data indicate that 39% of the batteries in the sample had a very low state of charge, 21% had a medium state of charge, and 35% had a high state of charge.'6 Our data on battery ages and battery replacement intervals suggest that many families that use 10- 14 Wp solar home systems will replace their batteries every one to two years. This replacement interval may be longer than the useful battery life since some families may not be able to afford to replace their battery even though it is no longer performing well. There also appears to be a high level of familiarity with basic lead-acid battery maintenance among users. There is, however, no clear correlation between average battery life and respondents' answers to various questions about their maintenance habits. Finally, about two-thirds of respondents indicated that they had not yet replaced their original fluorescent tubes and, on average, respondents who had replaced their bulbs did so only once every 3.5 years. Economic Analysis Based in part on our measurements of actual module output, this section compares the lifecycle cost per kWh for the three principal off-grid electricity options available to rural Kenyan 16 These specific gravity data may overestimate the state of charge since, in some of the cases, high specific gravity readings were likely due to the addition of acid by users unaware that they should only add distilled water to battery cells. On the other hand, the batteries in our sample rarely receive equalization charges so electrolyte stratification is likely to be common and specific gravity readings taken near the top of battery cells will tend to yield incorrectly low state of charge estimates. It is not clear which of these potential sources of errors is likely to dominate, so it is unclear whether our results overstate or understate the average battery state of charge. 16 households: battery charging without any panel, battery charging using a crystalline panel, and battery charging using an a-Si panel. For the base case analysis we make the following assumptions: * 20 year system lifetime; * 2 year average battery life; * 20 year crystalline module life and 10 year a-Si module life; * US$ 1.00 cost per battery charge;17 * panel owners do not bring their batteries to charging stations for supplemental charges; * system efficiency losses of about 20% for panel based systems and 0% for battery-only systems; * the labor cost associated with installing panel based systems is US$ 12.00 on the assumption that it requires one day of a skilled technician's time while battery-only systems are self- installed at no cost; * wiring costs US$ 5.00 for panel based systems, half that for battery-only systems, and it must be replaced after 10 years; and, users spend US$ 0.60 annually on distilled water for their batteries. For the battery-only case we make the further assumptions that users take their batteries for 40 charges per year and are able to obtain a charge worth 80% of the batteries capacity each time. Prices for all system components are based on informal surveys of distributors conducted by the authors during July of 2000, and delivered module amperage is calculated based on our measurements for each module type, assuming an average charging voltage of 12.5 volts. For panel-based systems we use a 20 Ah "Jua Tosha" battery while the battery charging systems use 50 Ah "Chloride Exide" batteries. Both are locally manufactured batteries partially optimized for deep discharge cycles in rural household applications. The former is more than twice as expensive on a per Ah basis, but nonetheless better suited for 12 Wp SHSs because of its 25% lower unit cost and more appropriate size. We further assume a 12 Wp NAPS module for the a-Si case, but estimate the amperage and cost of a 12 Wp crystalline module by simply scaling down the price and output of a 20 Wp crystalline Solarex module, which is one of the most commonly available small crystalline panels. Estimating discount rates for rural Kenyan households is an inexact science and we therefore consider the cost per kWh of each possible system option as a function of a wide range of discount rates. Assuming a discount rate of 25% for our base case, the per kWh life-cycle cost of delivered electricity from an a-Si SHS is about US$ 0.73 versus US$ 0.91 for a crystalline SHS 17 This breaks down as US$ 0.60 in charging fees; $US 0.30 in transport and $US 0.14 for the cost of time and inconvenience. The latter component is equivalent to one hour of foregone wages using 2000 annual work hours and an average rural income of SUS 289 in 1995 from Nyang (1999). 17 and US$ 0.92 for the battery charging only case.18 These results are sensitive to parameter choices. Figure 9 illustrates the importance of the assumed discount rate. Similarly, if we assume that SHS owners use 50 Ah batteries with their 12 Wp panels, as many in fact do, then the associated per kWh costs at the 25% discount rate increase to $US 0.88 for a-Si and $US 1.06 for crystalline, and battery charging emerges as the cheapest option for discount rates any higher than 30%. The assumed frequency of battery charging is also an important parameter choice. A family that uses a 50 Ahr battery to provide electricity for three hours of television and lighting will completely drain their battery approximately once per week. For our base case, however, we assume only 40 charges per year because financial constraints may induce some families to conserve on battery usage and capital constraints and inconvenience often prevent families from maintaining their batteries in a useable state at all times. If we increase the charging frequency to 52 charges per year, the cost of the no-panel battery charging option drops below the crystalline cost for discount rates exceeding 19%, and it beats the a-Si option for discount rates over 34%. Similarly, if we eliminate the estimated per-charge inconvenience and time factor, then the cost of the battery-only option beats crystalline for discount rates exceeding 22%, and a-Si for discount rates in excess of 40%. Changing both parameters to favor the battery case allows the no-panel case to beat a-Si for discount rates exceeding 28%. Note, however, that our base case is generous to battery charging in assuming that customers drain their battery to the 20% charge level and obtain a full charge every cycle.19 In fact, consistent deep discharges reduce a battery's ability to accept a full charge and battery stations may not always give their customers the fullest possible charge. There is, moreover, a substantial hassle factor involved with lugging a battery to and from the charging station on a regular basis and our estimates only imperfectly capture this cost. On the other hand, the base case results are quite robust to some parameter choices. For example, we assume that a-Si single junction modules last only 10 years in our base case in order to account for the fact that they are typically more vulnerable to breakage given their more fragile framing and encapsulation design. This is consistent with an annual breakage rate of about 8%. If annual a-Si module breakage rates are assumed to be 0% then the cost per kWh for an a-Si system drops by only about four cents for a discount rate of 10% and only one cent for discounts rates in excess of 25%. Similarly, changing the average battery lifetime does not notably affect the relative costs of the different systems-though assuming a shorter battery life raises the cost of all three options considerably. For example, a one year battery life implies that the a-Si option costs US$ 1.10 per 1 8 The crystalline case is more expensive, particularly for lower discount rates, because of the higher per Wp cost of these modules. Moreover, our analysis is generous to crystalline in that we assume that 12 Wp crystalline modules would sell for only 60% of the cost of a 20 Wp module. In fact, the per Wp cost of crystalline modules typically increases significantly as they are scaled down below 20 Wp due to higher circuitry and framing costs as well as the need to cut individual crystalline cells in half. 19 This concern also negatively affects the performance of low wattage SHSs since our data suggest that many SHS batteries are chronically in a low state of charge; however, we partially account for this by assuming a 20% charging inefficiency for the SHS case. 18 kWh for a discount rate of 25% (as opposed to US$ 0.78 in the base case). It is important to note that battery life is a function of system type and design; however, there are insufficient data available to assess the relative average battery lifetimes for the different cases we consider. Figure 9. Cost of Off-Grid Electricity Options as a Function of Household Discount Rate $4.00 $3.50 battery charging with an a-Si panel $3.00 -8- battery charging with a crystalline pane $2 50 8, | P ~battery charging without a panel $2.50.............. C $2.00 ___ _ $1.50 ++ - 1 $1.00 $0.50 - $0.00 0 10 20 30 40 50 Household Discount Rate (%) Implications for Market Development This study presents evidence that the best quality a-Si modules available in Kenya provide excellent long-term service of comparable reliability to crystalline modules. There is, however, evidence of dramatic and largely undetected quality variation across brands. This has two critical implications for development of the Kenyan market for SHSs. First, thousands of rural Kenyan households unfortunate enough to select the seriously under- performing a-Si brand have lost most or all of their investment in what is often the most expensive durable good they own. This is a substantial economic and social cost in its own right. Second, widespread consumer ignorance about the relative quality of different brands, may discourage potential SHS customers. This occurs both because consumers face uncertainty about the performance of the particular module brand they buy and because they may base their performance expectations on a pooled quality estimate roughly derived from the average performance of all the installed modules (including both high- and low-performing brands) in their region (Duke et al, 2000). This is also one plausible factor helping to explain why so many rural Kenyan households continue to rely on battery-only systems despite the relatively high life-cycle cost of this approach. Approximately 300,000 rural Kenyan households have lead-acid batteries that they regularly bring to charging stations, while more than 100,000 additional Kenyan families have 19 opted to use a solar panel to charge their batteries (Hankins et al, 1997). As shown in Figure 9, battery charging is not competitive with SHS on a life-cycle basis except for very high real discount rates. The prevalence of battery-only systems despite the relatively high cost of this approach is also consistent with the fact that rural Kenyans households typically have very little savings and little opportunity to borrow at non-usurious rates (i.e. high household discount rates). Despite this, even at a monthly fee of just US$ 3.00, only about 38 percent of the SHS owners we interviewed responded that they would have preferred to rent rather than buy the system they currently own. If these figures reflect true demand, then fee-for-service is unlikely to emerge as a major SHS delivery mode in Kenya unless substantial subsidies become available. Policy Recommendations As detailed in a forthcoming manuscript by the authors (Duke et al, 2000), there are a range of potential mechanisms available to address the quality variation and user ignorance problems outlined above. These include testing and certification, associated quality seals of approval or importation restrictions, user education and more centralized SHS delivery modalities. The Iternational Electrotechnical Commission (IEC) issued an international standard (EEC 1646) for thin-film PV modules in 1996; however, at present none of the a-Si modules with a substantial market share in Kenya comply with this standard.20 The PV Global Approval Program (PVGAP, www.pvgap.org), an organization supported by various multilaterals and PV industry groups, has a stated priority of focusing on quality problems in developing countries. In particular, they are working to: • ensure that available IEC standards are universally recognized; * develop "recommended standards" in cases where the IEC has yet to act; and, * develop a PVGAP quality "mark" for PV components and a PVGAP quality "seal" for whole systems. PVGAP expects a quality mark for modules to come into use shortly; however, it is unclear how quickly the a-Si module manufacturers that sell into the Kenyan market will seek or receive approval under this program. Moreover, absent considerable user education, a "seal of approval" may have little impact on the Kenyan market. This sort of public education campaign may prove difficult and expensive given the dispersed and remote nature of the target audience. Another possibility is that the Kenyan government could ban the sale of modules that do not meet quality standards. This approach would, however, risk excluding relatively high quality and uniquely affordable small a-Si modules from the Kenyan market place until and unless their manufacturers are able to obtain certification. It could also create opportunities for excessive or corrupt government interference in the SHS market place. 20 Uni-solar modules are IEC1646 compliant, however, they are considerably more expensive than other a-Si modules and have a trivial market share. Free Energy Europe expects to achieve IEC1646 compliance for its modules by the end of 2000. 20 One alternative to government mandated standards would be to encourage more centralized SHS delivery mechanisms that ensure quality components. Revolving credit mechanisms for SHSs, for example, often restrict loans to systems using certified components. Similarly, a fee-for-service approach may have the potential to provide high quality systems to a broad range of rural Kenyan households. Fee-for-service companies can only be profitable if the systems they rent function well, so they have strong incentives to select high quality components. Moreover, this mechanism may be embedded in a stable regulatory framework that allows for the provision of subsidies without destructive variability, thereby increasing SHS penetration levels (Greene et al, 1999). More careful survey work to assess the potential demand would provide useful background for policy makers and companies considering fee-for-service options for Kenya. Conclusions Single junction amorphous-silicon PV modules have suffered from a reputation for poor quality since they entered the marketplace. This study presents evidence that this reputation is partially deserved. One of the top selling a-Si modules in the Kenyan market falls far short of acceptable quality standards and thousands of rural households have suffered substantial economic hardship from investing in these products. Despite these sobering facts, it appears that this manufacturer is taking substantial steps to improve the quality of its modules. Inportantly, this study also clearly demonstrates that the other single junction a-Si modules commonly sold in Kenya deliver long-term performance that is comparable to that available from crystalline modules-but at a substantially lower retail price. There are legitimate concerns that even the best quality single junction a-Si modules may be subject to significant breakage risk; however, in the context of high household discount rates and falling module prices, the practical economic difference between a 20 and 10 year expected module lifetime due to breakage may be trivial. In conclusion, quality amorphous silicon PV modules can provide a highly cost-effective altemative to crystalline modules for SHSs-especially for households only willing or able to purchase a 12-20 Wp system. There are, however, severe quality variations among the existing manufacturers, and many consumers appear to be unable to reliably discern these differences. Some combination of public information, certification/labeling, standards (e.g. restrictions on uncertified modules by the government or PV loan funds) or new SHS business models (e.g. fee- for-service) may prove helpful in educating and protecting consumers, thereby ensuring that this market reaches its potential. There are, however, risks and limitations associated with each of these mechanisms that necessitate a cautious approach. 21 References Acker, R. and Kammen, D. M. (1996) "The quiet (Energy) revolution: the diffusion of photovoltaic power systems in Kenya," Energy Policy, 24, 8 1-111. Akerlof, G. A. (1970) "The Market for 'Lemons': Quality uncertainty and the market mechanism" Quarterly Journal of Economics, 84, 488-500. Argote, L. and D. Epple (1990) "Learning curves in manufacturing," Science 247, 920 - 924. 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