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21





                 Energy Return on Energy Invested


                 (EROI) and Energy Payback Time


                 (EPBT) for PVs





                                                                                    Ajay Gupta
                                               EROI ENERGY ADVISORS INC., BRAMPTON, ON, CANADA
                                                                                akg78002@me.com


                 21.1  Introduction

                 Energy return on investment (EROI) or as it sometimes called, energy return on energy
                 invested (ERoEI), is a tool for analyzing and comparing different types of fuels. EROI refers
                 to the ratio of the usable energy returned during a systems lifetime, to all the invested en­
                 ergy needed to make this energy usable. It is related to net energy analysis (NEA), which
                 calculates energy output minus energy inputs of a system, and also to life cycle analysis
                 (LCA), which describes the total energy inputs for a system. As EROI is a ratio, it is a prop­
                 erty without units. For example, EROI can be calculated using joules per joules or barrels
                 of oil output per barrels of energy equivalent input. As such, EROI analysis has certain ad­
                 vantages over other tools when comparing different fuels and their impact on organisms
                 or society.
                   Dale et al. [1] offer a short list of historic conceptualizations of EROI before it was popu­
                 larized by systems ecologist Charles Hall. It was Hall who first coined the term “Energy
                   Return on Investment” in the 1970s with a focus on migrating fish [2], and during the
                 1980s, along with others, expanded the concept to energy sources fuelling the US econ­
                 omy, such as oil [3]. The concept of comparing energy outputs with inputs, expressed as
                 “net  energy” has been in the anthropological [4], economic [5,6], and ecological [7] litera­
                 ture for sometime; however, EROI offers some additional insight into fuels. EROI analy­
                 sis can be applied to the fuel of a variety of systems, including biological organisms. Hall
                 argues that it can even be the “master driver” of evolution, as energy can be viewed as
                 the master resource for evolution and EROI the means of obtaining Darwinian fitness [8].
                 Although it is a physical concept, EROI analysis can also have economic implications in
                 terms of rates of growth [9], finance, and the economics of fuels [10]. The higher the EROI
                 of a fuel technology, the more valuable it is in terms of producing an economically useful
                 energy output [11]. A higher EROI allows more net energy to be available to the economy;
                 and all economic activity relies, to some degree, on energy use.

                 A Comprehensive Guide to Solar Energy Systems. http://dx.doi.org/10.1016/B978-0-12-811479-7.00021-X  407
                 Copyright © 2018 Elsevier Inc. All rights reserved.
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