David,

Take a close look at the upper and lowers portions of the graphs of the 10-second data and the 1-minute data for Freiburg. 

To make it easier to see, attached is reproduction of their graphs on one page. Just as fleeting peaks in irradiance (edge of cloud effect) should be fewer in the 1 minute averages than in the 10 second raw data; fleeting lows (caused by passing clouds) should be fewer in the 1 minute averages than in the 10-second data. Inspect the graph and label which you think is 10-second data and which you think is 1-minute data. Then compare to the original. The two graphs appear to be mislabeled.

Kent Osterberg
Blue Mountain Solar, Inc.



David Brearley wrote:
Re: [RE-wrenches] Inverter oversizing Kent,

The graphs aren’t mislabeled. The one-minute average data has more granularity, which shows up at the upper limits of the data. It reveals more peaks over 1,000 W/m2, even in excess of 1,200 W/m2. These values get compressed into the lower bins in the hourly data.

The results from the Florianopolis site in Brazil, gives a pretty good idea of how significantly different the results can be based on monitoring frequency:

“Considerable differences emerge when looking at the high end of the radiation level
Distribution, which shows for the one-minute averages that some 9% of the daytime
hours present radiation levels ≥ 1000W/m2, with a corresponding energy content of
some 23%; hourly averages for the same range correspond to around 6% of daytime
hours, and below 11% of the total energy content. Radiation levels above 900W/m2
occur some 16% of the time when looking at one-minute averages, and below 13%
of daytime hours when using hourly averages, with corresponding energy fractions
respectively above 38% and 25%.”

>From the conclusion:

“we have demonstrated that the estimation of the actual losses due to inverter
undersizing increases with increased time resolution of the radiation measurements,
revealing that hourly averages hide important irradiation peaks. In fact, results with
hourly averages are an experimental artifact, and lead to an estimation of the solar
energy resource distribution that does not correspond to reality. Hourly averages of
irradiation values lead to inverter undersizing and the associated energy losses.”

Figures 8 & 9 are interesting. You could imagine what these results would look like if overlaid onto your charts.

Best, david

On 1/19/11 8:14 PM, "Kent Osterberg" <[email protected]> wrote:

David,

Thanks for sharing that paper.  The labeling the graphs for the 10-second and 1-minute data in Freiburg appears to be reversed - the one minute averaging seems to have more data in all of the bins above 1000 W/sq m.  Basically, these graphs show that irradiance observations above 1100 watts per square meter are fleeting and disappear in hourly averages.   Such occurrences are also masked to a small extent by 1-minute averages.
 
Kent Osterberg
Blue Mountain Solar, Inc.



David Brearley wrote:
Re: [RE-wrenches] Inverter oversizing This reminds me of a scholarly article I came across about a year ago while doing some research. Here’s a link to it if anyone is interested:
 
www.lepten.ufsc.br/publicacoes/solar/eventos/2005/PSC/burger_ruther.pdf <http://www.lepten.ufsc.br/publicacoes/solar/eventos/2005/PSC/burger_ruther.pdf>
 
David Brearley, Senior Technical Editor
 SolarPro magazine
NABCEP Certified PV Installer ™
 [email protected]
Direct: 541.261.6545
 
On 1/19/11 12:29 PM, "Bill Brooks" <[email protected]> wrote:
 
  
Kent,
 
How often were your data records? To capture edge of cloud effects, you need one-second data. Not many people gather that fast or that much data on inverters. I don’t think there is that much energy in these spikes, but they are real and make some difference. 15-minute average data will completely wash out this data.
 
This is also a deficiency in modeling software since most models are using hourly data.
 
Bill.
 
 
From: [email protected] [mailto:[email protected]] On Behalf Of Kent Osterberg
 Sent: Tuesday, January 18, 2011 1:18 PM
 To: Wrenches; Marco Mangelsdorf
 Subject: [RE-wrenches] Inverter oversizing
 

 
Attached is a graph that I produced to document the effect of various ratios between the PV array size and the inverter size.  I extracted output power data for a 1020-watt system located in NE Oregon that is on the Sunny Portal <http://www.sunnyportal.com/Templates/PublicPageOverview.aspx?page=85820a73-a347-48fb-b8d1-92e5f9b78ab3&plant=608681a7-ef60-4edb-84ff-07110db0ab6a&splang=en-US> . The data are publicly accessible so feel free to run your own analysis.  Better yet, analyze the data for a system near you.  
 
Using 2009 data, I looked at how much energy would have been lost if the output was clipped at 800W, 810W, .... 1020W.  I used 2009 data because there was a period in 2010 when the Sunny Webbox didn't have internet access.  At 800 watts, power clipping would have happened on about 25% of the days.  Yet the energy that would have been lost was only 0.38% of the annual total.  
 
The results shown on this graph aren't universal, results would be a little different in 2010, it would be different in some other climate, it would have been different at another elevation, it would be different with a different array angle, ..., and the module tolerance and inverter efficiency also effect the results.  Modules in this system are Suntech 170-watt +/-3%.  The inverter is Sunnyboy 1800 that  should be operating at close to 93% efficiency.
 
Kent Osterberg
Blue Mountain Solar. Inc.
 
 




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