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Demystifying LCOE

Paul Grana
August 18, 2010  |  8 Comments

Levelized Cost of Electricity (LCOE) is a valuable metric.  LCOE allocates the costs of an energy plant across its useful life, to give an effective price per each unit of energy (kWh).  In other words, it’s like averaging the up-front costs across production over a long period of time.  The nice thing about LCOE is that it gives a single metric that can be used to compare different types of systems – from renewable projects, where the up-front capital cost is high and the "fuel" cost is near zero, to a natural gas plant, where the capital cost is lower, but the fuel cost is higher.  And it can even be compared against the price you pay on your utility bill ($/kWh).

However, LCOE is also feared – mainly because it can be complex.  I’m going to try to change that here.

Instead of just giving a single overview of an LCOE model, I’m going to show a few different levels of detail, so you can matches the level of model complexity with what you’re trying to accomplish.  You can follow along by downloading the attached document, “Simple LCOE Model."

Level 1: Back of the Envelope: This is minimum amount of analysis needed to get to a number that even looks like an LCOE.  You only need four numbers:

  • System size: This is often referred to as the ‘nameplate capacity’ of the system.  Specifically, it is a measure of how much power the system could produce when running at full strength.
  • System cost: The cost to install the system – most often given on a per-watt basis.  For example, if you get a quote for someone to build a 10kW (10,000 watts) nameplate system for $40,000, that is a cost of $4/watt.
  • Watt-hours per watt-peak: The nameplate power is only half of the story: you then need to know how much energy you get out (power delivered over a period of time).  So this number measures how many hours per year the system is operational – in other words, how many hours of sun does a system receive.
  • Productive years: Since the production happens over time, it’s critical to understand how many years the system will work.  Most components are warranted for 20-25 years. ::continue::

Level 2 – If you want to include all assumptions that are significant, you need three more:

  • Nameplate de-rating: Even if a system is supposed to produce 10,000W, it rarely produces that.  There are a lot of steps in processing the power (efficiency losses in the inverter, wire, and other operation), and they eat up about 20% of the power between the module and the grid.
  • Discount rate: future value is discounted against today’s.  Otherwise, you could invest your money today, get a return, and then invest a larger amount tomorrow.  For the purposes of an LCOE, I discount future production – which accomplishes the same goal.
  • Incentives: whether we like it or not, government incentives matter.  At the federal level, there is a 30% tax credit (refunds 30% of the system cost).  There are also dozens of state and municipal incentives (the best summary is www.dsireusa.org).

Level 3 – Three more variables will make you sound more credible when talking to people in the industry:

  • Degradation: Systems degrade over time – and this includes the PV modules themselves.  Most assume that degradation is between 0.5% and 1% per year.  Note that most modules are warranted to perform up to 90% of their rated power for 10 years, and 80% of their rated power for 25 years – numbers that aren’t far off from 1% annual loss.
  • Maintenance: Someone has to clean the modules and repair the broken ones.  This is often modeled as a percent of the initial cost (typically about 0.5%), recurring every year.
  • Inverter replacement: Unfortunately, most inverters need to be replaced. While reliability is improving, most people assume that the inverter will have to be replaced at about year 10.

If you want to learn more about each of the assumptions, here is a summary of typical ranges, with further reading where possible:

Metric Low value Average value High value Further information
System Cost ($/watt) Residential: $5.00

Commercial: $4.00

Utility-scale: $3.00

Residential: $6.00

Commercial: $5.00

Utility-scale: $4.00

Residential: $7.00

Commercial: $6.00

Utility-scale: $4.50


Watt-hours per watt-peak 1,400-1,600 1,700 – 1,900 2,000-2,200 http://rredc.nrel.gov/solar/old_data/nsrdb/redbook/
Time horizon NA 20 years 25 years
De-rating 77% 80-82% 85% PVWatts model from NREL: http://rredc.nrel.gov/solar/calculators/PVWATTS/version1/derate.cgi
Discount rate 7-8% 9-12% 13-15% Ask a banker
Incentives
30% Federal Tax Credit
DSIRE (Database of State Incentives for Renewable Energy): http://www.dsireusa.org/
Degradation 0.25% 0.5% 0.75%
Maintenance 0.25% 0.5% 0.75%
Inverter replacement year 7 10 15
Inverter replacement cost ($/watt) $0.30 $0.35-$0.45 $0.55

Finally, keep in mind that the variables above still leave out a ton of complexity.  The system cost depends on hundreds of design decisions; the solar module’s production depends on its tilt angle and temperature (among other things).  But if you’re starting from scratch, this is a good place to start.

The information and views expressed in this blog post are solely those of the author and not necessarily those of RenewableEnergyWorld.com or the companies that advertise on this Web site and other publications. This blog was posted directly by the author and was not reviewed for accuracy, spelling or grammar.

8 Comments

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ANONYMOUS
April 30, 2012
Paul,

I found this very helpful, especially being able to work through the actual model in the excel download. Can you recommend any other intro's to modeling / the components of modeling for renewable energy projects? Anything in excel would be a godsend. I'm working in a slightly different space but moving into a role that will be project modelling intensive.

Thanks again for this great post!
JD
Matt Lafferty
Matt Lafferty
November 3, 2010
Hi Paul. This is a nice article to introduce the LCOE concept to folks.

Where do you account for decommissioning at the end of the project's service life?

Sooner or later somebody's gonna have to remove and dispose of stuff. If there isn't going to be a replacement system, or if the footprint & foundations aren't compatible with the replacement system, there's more stuff to remove and dispose of. And a roof to patch or a pad to grade.

It's not insignificant. And it happens on every non-abandoned system sooner or later. Hopefully not for a generation, but it will happen and we need to account for it.

Cheers,
Matt
Paul Grana
Paul Grana
August 21, 2010
Hi, sorry for the delay - was on the road.
AWB: I don't have good info on fossil fuel economics, but I'll go back to one of my favorite textbooks: Renewable and Efficient Electric Power Systems, by Gil Masters. He has some budgetary values for the CAPEX and fuel costs for coal/gas/nuclear. I'll look them up when I'm back in the office (mid-week) and post them.
Christophe: technically the numbers could be combined, but typically they are kept separate. There are a couple reasons for this, as far as I can tell - the simple answer is that it keeps a clear line between the amount of solar resource available (kWh/kWp), and the effectiveness of the system at not wasting that power (the de-rate factor). Also, banks will sometimes haircut the kWh/kWp to factor in the annual variability (creating something called "P90" which I'll discuss in a later post), and so for that they want to have the exact kWh/kWp.
Great conversation, all!
Alan Beattie
Alan Beattie
August 20, 2010
Jefferson,
I went to your website and only found a discussion of discount rates -- thought you had a model of nat gas vs. solar pv. I understand the discount rate makes a huge difference, so let's assume it's 5% across the board. And let's assume the price of gas is $6. What did your model show? Thanks
AWB
Michael Keller
Michael Keller
August 20, 2010
I'd like to suggest an alternate approach for "hand-grenade" comparisons.

(Direct construction cost of Project) plus (indirect costs) minus (Owners invested equity) = Money to be borrowed.

Decide on term of loan (years) and interest rate to determine the yearly interest payment. Typical Project financing models are roughly 15 years term @8% interest, although that can vary a lot depending on how "risky" the bankers consider the effort.

Decide Owners yearly return on invested equity (i.e. profit percentage on Owner's investment, say 10% x invested dollars)

Determine yearly fuel cost (if any).

Determine yearly operations & maintenance cost (includes personnel, repairs, etc).

Determine how much energy the project is expected to produce in a year. I'd shy away from simple averages since that can be pretty misleading for renewable energy - the reference to the NREL Solar Advisor model provides good data for most locations in the US.

(Interest Payment + Profit + O&M + fuel)/(energy produced) yields what you need to charge for the investment to work.

I'd shy away from using discounted cash rates (time value of money) because that is so difficult to predict (it's basically the inflation rate in the future).
christophe inglin
christophe inglin
August 20, 2010
Paul,
Your article is nice and clear. But I think you can remove one unnecessary variable. The kWh/kWp/year energy yield already factors in the nameplate derating, so there's no need to derate twice.
Christophe
Jefferson Goethals
Jefferson Goethals
August 20, 2010
Paul,
Really clear explanation and great model.
AWB, I have been doing research on the LOCE differences between gas and solar. There are two major issues: one is that the price of natural gas is extremely volatile. The other is that small changes in the discount rate have a huge impact on the comparison. I have tried to explain this on my blog: http://jeffersongoethals.blogspot.com/2010/08/problem-with-discount-rates.html
~Jefferson Goethals
Alan Beattie
Alan Beattie
August 18, 2010
Paul,
This is a great model to have in hand.
Have you ever done a model (or know of an existing model) which compares solar formats to some of the fossil fuels? It would be very instructive to see what the LCOE would be on a new coal plant, nat gas and nuclear relative to solar. Clearly it's somewhat apples and oranges, but assuming each were built today for a given useful life, and given projected increases in cost of fuel (not to mention indirect costs), it would be interesting to see the results.
AWB

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Paul Grana

Paul Grana

I am a Principal with Folsom Labs, a performance model for solar PV plants. I previously worked in DC power electronics for solar (Tigo Energy), and PV modules (Abound Solar). I also maintain a solar-focused blog: http://thegreenstalk.com/...
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