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Doing the Math: Comparing Germany's Solar Industry to Japan's Fukushima Reactors

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By Sara Mansur and Devon Swezey

Updated Below (3/24/2011)

Grist environment writer Christopher Mims has written a widely read post comparing Japan's Fukushima nuclear reactor complex to solar photovoltaic energy in Germany. The post, "Germany's Solar Panels Produce More Power Than Japan's Entire Fukushima Complex," implies that solar PV may be an adequate substitute for aging nuclear reactors in both Germany and Japan.

But an analysis of the electricity generated by Germany's solar PV industry and Japan's Fukushima Daiichi reactors finds that Germany's entire solar PV capacity, installed at a cost of at least $86 billion, generated only half the amount of electricity generated by the Fukushima plants in 2010.

Mims writes:

"It's worth noting that just today, total power output of Germany's installed solar PV panels hit 12.1 GW -- greater than the total power output (10 GW) of Japan's entire 6-reactor nuclear power plant."

There are two problems with this.

First of all, the total installed capacity of Japan's Fukushima six-reactor Daiishi plant is actually 4.5 GW. The total power output of Japan's entire Fukushima complex, which consists of ten reactors--six at Daiichi and an additional four at Daini--is 8.8 GW. So Germany's peak solar PV output of 12.1 GW is nearly three times greater than Japan's Daiichi reactor complex.

Does that mean that solar in Germany is somehow equivalent to three of Japan's nuclear complexes? The answer is no, and this leads to the second problem with Mims' post.

The 12.1 GW that Mims cites is the total power generated at one peak time of day. But Mims' numbers don't tell us anything about what we really care about, which is electricity generation.

As Mims himself notes, solar power production varies with weather and the time of day--it doesn't supply 12.1 GW of power continuously. Rather, looking at total electricity generated over a year gives us a much more accurate, apples-to-apples comparison of each technology's contribution to a country's energy needs.

According to Mims:

"To find out how much energy those panels generated today in total, you'd have to calculate the area under that curve in the lower right hand corner."

Fortunately, we've run those calculations, and they present a much different picture than the one implied in Mims' post.

In 2010, Germany's cumulative installed solar PV stood at 17.3 GW. In 2009, Germany's PV solar capacity factor--the ratio of actual energy output over the year and the energy the plant would have produced at full capacity--was 9.5%. This is quite low for solar PV, which typically has capacity factors around 15%, and is likely due to the fact that Germany doesn't actually get that much sun. If we assume the same 9.5% capacity factor for 2010, then Germany's 17.3 GW translates into about 14,397 GWh of actual annual electricity generation from solar cells.

By comparison, in 2010, Fukushima's six Daiichi reactors--which have a nameplate capacity of 4.5 GW--produced 29,221 GWh of power generation.

That is, one nuclear power plant complex produces more than twice the power generation of Germany's entire installed solar industry.

Furthermore, Germany's entire solar PV output is equal to a little more than one percent of Japan's total electricity generation.

So could we feasibly replace the power generated from nuclear in Japan with electricity from solar?

The German solar industry was built over 20 years with expansive government support. Using an estimate of $5 per watt of installed solar PV capacity, we estimate the country's 17.3 GW in installed solar capacity to have cost at least $86.5 billion dollars. The actual costs are likely higher, since this estimate assumes 2010 module prices, while costs have substantially declined in the past decade.

As Breakthrough's Jesse Jenkins, Ted Nordhaus, and Michael Shellenberger make clear in today's Atlantic:

Present day renewables remain too expensive and undependable for any economy in the world to rely upon at significant scale. So Germany, despite its vaunted solar feed in tariffs, will rely more heavily upon coal, which it has in abundance, as it retires its aging nuclear fleet. The US, already in the midst of a natural gas boom, will use more gas.

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Update (3/24/2011):

In the comments to this post, Christopher Mims deflects attention from the factual errors and misleading comparison in his original post. The facts of the matter are that Mims provided not only incorrect information about the capacity of the Daiichi nuclear reactors, but also made completely irrelevant comparison between total installed, intermittent solar capacity in a country with a solar capacity factor of 9.5% to a nuclear power complex that produces vastly more electricity.

Particularly since this post has been widely viewed, now listed as the most viewed post on Grist's site, Mims owes it to his readers to correct his original post and provide not only factual information but also an accurate comparison that will allow Grist's readers to draw more reasonable implications.

Mims has asked us to compare the cost of building, operating, and maintaining the Daiichi reactors to the equivalent in Germany's solar PV installations. The answer to Mims' question is that the equivalent in power generation from solar PV would cost at least $100 billion more than the generation from the Daiichi reactors.

This was calculated using across-the-board conservative estimates for the cost of solar and high estimates for the cost of nuclear.

Here are those calculations:

The cost of constructing a new nuclear plant today is estimated to be between $3,000-$7,000/kw. If we assumed cost of $6,000/kw capacity, we'd find that Fukushima's Daiichi reactors cost $27 billion. This estimate is likely on the high end, since the cost of nuclear technologies has risen in the past two decades.

As we calculated in the post, it cost more than $86 billion for Germany to produce less than half as much generation as Daiichi from its total installed solar PV. So if we scaled to the equivalent amount of energy, we would find that it would cost at least $145 billion in solar technologies to produce the same amount of energy as Fukushima's Daiishi.

Now, neither of those estimates includes operation and maintenance costs. According to the EIA, fixed and variable operation and maintenance costs for advanced nuclear technologies cost about 3.3 cents per kWh. That's $26.5 billion in operation and maintenance costs for the Daiichi reactors' lifetime generation until 2009. The equivalent maintenance and operation costs in solar production (using the EIA's estimate of 1.1 cents/kWh) is $9.6 billion.

In sum, it costs $155 billion dollars to construct, operate and maintain solar technologies that will produce less than the equivalent amount of power as $53.5 billion in new nuclear technologies.

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TrackBacks (0) 17 COMMENTS:

Good, but you didn't quite close the loop: how much did it cost to build the Fukushima complex? How much does it has it cost to maintain it over the past 20 years? Now compare that cost to Germany's solar PV installation.

Now add the cost of cleaning up Fukushima, and the cost of replacing all the power that it once generated.

Now tell me which is cheaper per kWh.

Sarah and Devon,

You are on the right track, but the cost is much greater.

You calculate $86.5 billion for installing the 17.3 GWs of PV panels. You are not mentioning the FIT amounts paid out over the years; they amount to about $75 billion by the end of 2010. See my article below.

PV solar production = 17.3 GW x 8,760 hrs/yr x CF 0.095 = 14.397 TWh/yr

If invested in nuclear: ($86.5 billion/$7,000/kW = 12.357 GW) x 8,760 x CF 0.90 = 97.424 TWh/yr

Capacity Factors

In 2009, Germany’s PV solar CF was 6,578 GWh/(7,890 MW x 8,760 hr/yr) = 0.095 out of a national theoretical maximum of 0.115

The low CF may indicate the PV solar panels are aging, dusty, partially shaded by trees, partially snow-covered, etc., and, as about 80% of the PV solar systems are roof-mounted, many roofs may not be true-south-facing and the panels may not be correctly angled. Germany could raise its average, if it installed more suntracking systems that would have CFs of about 0.16 in Germany.

Germany is a totally miserable place to produce solar power.

http://theenergycollective.com/willem-post/46824/impact-csp-and-pv-solar-feed-tariffs-spain
http://theenergycollective.com/willem-post/46142/impact-pv-solar-feed-tariffs-germa

Can you factor in your calculatiosn the costs of managing nuclear waste and end of life muclear plant disassembly? Or you just assume that the waste is just disposed in a third world country as is the current trend with e-waste or perhaps simply ends up in the bottom of the ocean?
I would lile to see a calculation with that too.

Sarah and Devon,

GW is capacity
GWh/yr is output

Please correct your post, because it makes it look not professional.


You are on the right track, but the cost is much greater. I made a more convincing calculation.

You calculate $86.5 billion for installing the 17.3 GWs of PV panels. You are not mentioning the FIT amounts paid out over the years; they amount to at least $65 billion by the end of 2010.

Germans spending $150 billion for 2% of its power production! See my articles below.

PV solar production = 17.3 GW x 8,760 hrs/yr x CF 0.095 = 14.397 TWh/yr

If invested in nuclear: ($86.5 billion/$7,000/kW = 12.357 GW) x 8,760 hrs/yr x CF 0.90 = 97.424 TWh/yr


Capacity Factors

In 2009, Germany�s PV solar CF was 6,578 GWh/(7,890 MW x 8,760 hr/yr) = 0.095 out of a national theoretical maximum of 0.115

The low CF may indicate the PV solar panels are aging, dusty, partially shaded by trees, partially snow-covered, etc., and, as about 80% of the PV solar systems are roof-mounted, many roofs may not be true-south-facing and the panels may not be correctly angled. Germany could raise its average, if it installed more suntracking systems that would have CFs of about 0.16

Germany is a totally miserable place to produce solar power.

http://theenergycollective.com/willem-post/46824/impact-csp-and-pv-solar-feed-tariffs-spain
http://theenergycollective.com/willem-post/46142/impact-pv-solar-feed-tariffs-germany

17.3 Gw of panels will need to be placed in a hazardous waste facility after about the 25-30 years of use.

Assume about 10 W/sq ft of panel

sq ft of panels = (17.3 GW x 1,000 MW/GW x 1,000 MW/kW x 1,000 W/kW)/10 = 1.73 billion sq ft

It is completely inappropriate to treat the Fukishima nuclear disaster as anything having to do with a failure of the Nuclear Plant, its maintenance , design or operation.

This is entirely the result of a tsunami. The complex withstood a 9.0 quake. Is everyone completely insane? Yes it would have been nice if additional steps had been taken to protect the standby generators and certainly this will be done by every sensible installation world wide but to abandon the cleanest source in todays arsenal of power for increased use of dirty sources or unsuitable sources is not a sane act.

well one could sleep with a PV if wanted. Go do the same with the rest

Along the lines of what Attoman said, trying to factor in the 'clean up' is somewhat far fetched...

There certainly is a need for cleanup, but really if we're to calculate the cost of cleanup and restoring power to the grid as it was before there are a number of things we have to consider (not just which is more righteous).

First, we'd need to take one of the reactors that didn't really suffer any (sizeable) damage due to loss of cooling (ie one that was already shut down, offline for a while, purely physical damage from event) and compare it with one that sustained equal 'event damage' but also experienced additional damage due to the loss of cooling.

Second, space. As mentioned the entire installed capacity in Germany would only reach about 1% of Japan's use. So space becomes an issue, where will you put all the PV panels? Sure rooftops, etc, but will it be enough to ditch nuclear? Doubtful.

Third, Mims suggested in his response that we consider the cost to bring power generation back online (amongst other things). If the Daiichi complex were a complex of PV panels (which is the hypothetical Mims seems to be suggesting), it would have been completely destroyed in the event that lead to the damaging of the reactors. Which means, it would've needed to be built from scrap, again. Oh and cleanup, would be difficult, but it's worth thinking about what goes into those PV panels chemically -- I don't think they are made of something as friendly as black licorice.

My question on the estimates provided in this post is, do they incorporate energy inputs (energy cost of fabrication for solar, energy costs of construction for nuclear, etc...)

Green is nice, but remember -- it's possible to emit more CO2 making biodiesel than you would if you just ran pump diesel.

With nuclear and any electricity generation methodology the impact on the workforce needs to be considered. Kenji Higuchi examined the petrochemical industry in Japan and then the Nuclear Ginza in a documentary examined by screenwriter Nicholas Rohl. http://video.google.com/videoplay?docid=4411946789896689299#

There are a number of radiochemical system complexities associated with nuclear power. These have generally been overlooked in terms of construction, operation and range of radiochemical hazards. http://www.nap.edu/catalog.php?record_id=9263 Around 1400 isotopes are known. Many arise in nuclear reactors and have a range of implications.

Mindful consideration is not given to tectonic plate risks, earthquake, tsunami, flood, the Pacific Dust Express in proof of concept.

Knowledge of half-life and decay chain and elemental transformation lay out a timeframe of trillions and trillions of years.

The Manhattan Project and the private strategies implemented by GE, Westinghouse, Standard Chemical as well as French and other interests going back to the 1920s demonstrates the level of investment of capital, policy, politics and thought with the phantasm of nuclear power.

Perhaps, it all needs to be sandbagged and entombed as described by physicist Dr. Michio Kakuhttp://www.cnn.com/video/data/2.0/video/bestoftv/2011/03/18/exp.arena.japan.nuclear.chernobyl.cnn.html

Solar panels land requirement is indeed a major problem. Even if the cost of PV comes down, the 10% utilization and the typical 10% efficiency (the ratio of the energy generated vs. the solar energy received) makes it unfeasible. While the solar insolation is plenty but if we can only capture 1% (the product of 10% efficiency and 10% utilization) on average, the land use of PV becomes unrealistic. The solar energy reaching the Earth's surface is 89PW, the global energy use today is 15TW. At 1% utilization, we would need to cover 1.6% of the Earth's surface "wall-to-wall" with PV. If we were only putting PV on land that percentage goes up to 5.6%. If we factor in population growth and allow developing nations to catch up in terms of energy use (perhaps use 4400W/person, which is twice the current global average, but roughly half of the energy use per capita in Europe and about 40% in the US), the global energy use have to double or tripple. The land use to produce that energy from solar panels would be around 10-15% of the continental land mass, which is roughly equal with the agricultural lands.

PV alone is certainly not enough. But combined with wind-energy, CSP and heat-pump (earth-warmth)you come to a considerable mix of clean energy.

Besides: Plutonium is one of the most poisonous elements that is known. 500 picogram of the stuff is sufficient to kill an average person. The average "production" of each nuclear reactor is sufficient to kill the entire earth population 100.000 times... And we have hundreds of reactors spread all over the world.

Check this web with costs for generating technologies in 2016 in the US, it comes from the US Energy Information:

http://www.eia.gov/forecasts/aeo/electricity_generation.html

The explanation of how to calculate costs is technical but it cleared to me the issue.

Cost of a single Fukushima plant: $4 billion
Decommissioning cost: A least $5 billion
Cost of nuclear waste management: $20 billion+
Safety management cost: Billions
Cost of damages done by the Fukushima disaster: Estimated over $40 billion

Japan's nuclear reprocessing cost: $130 billion
Amount of fuel produced from nuclear reprocessing: about $9 billion

"Now, neither of those estimates includes operation and maintenance costs. According to the EIA, fixed and variable operation and maintenance costs for advanced nuclear technologies cost about 3.3 cents per kWh"

Current production cost for electricity by nuclear power plants is 2.2 cents per kwh in the US (http://www.eia.doe.gov/cneaf/electricity/epa/epat8p2.html)

The document you linked show a similar number. (?)

Oh and, I would like to point the value of money in time. $100 now, is worth $100 * 1.03^(-10) in 10 years. From this you can say:

the waste/decommission issue cost far less since you have time to prepare for.

How is the peak power output of a solar project being compared to a baseload facility? It doesn't work that way. This kind of ineptitude will lead to more LNG and coal use.

If you are saying all nuclear can be cut off because of this, or even some, it is not environmentally sound reasoning.

"Besides: Plutonium is one of the most poisonous elements that is known. 500 picogram of the stuff is sufficient to kill an average person. The average "production" of each nuclear reactor is sufficient to kill the entire earth population 100.000 times... And we have hundreds of reactors spread all over the world."

Of course you have not specified how the entire world population would be kileed 100,000 times over by this plutonium catastrophe. Bottom line, it takes a very specific application of plutonium to make your claim even remotely accurate.

A similar claim might be made about air. A pound of air very specifically applied to the population in the form of injection could kill the entire world population by air embolism.

The plain and simple fact is that far more people die EVERY DAY from our continued use of fossil fuels than have died in the last half century as a result of nuclear electric power production.

Can I just throw a spanner into the works here? Why doesn't Japan use geothermal energy? The country sits atop a geologically active part of the earth's crust and there are hot springs in the western part of the country that are the basis of a tourism industry.

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