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Demystifying LCOE

By Paul Grana
August 18, 2010   |   8 Comments

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8 Reader Comments
Comment
1 of 8
awb
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
Comment
2 of 8
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
Comment
3 of 8
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
Comment
4 of 8
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).
Comment
5 of 8
awb
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
Comment
6 of 8
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!
Comment
7 of 8
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
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Comment
8 of 8
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
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Paul Grana

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About: I am a solar industry professional, where I work on DC power electronics (Tigo Energy), and have previously worked on the module side (Abound Solar). I also ... more »

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