Randomly Blows the Wind

At 9.30 this on this lovely late September morning I opened a couple of windows to let a breeze in. But the thin net curtain scarcely moved. Returning to my seat, I looked at the tallest branches of the giant plane tree in the park across the way. No movement at all. “Wind power is probably performing as expected,” I thought. A quick visit to Gridwatch showed that the output from wind at that moment was 1.34 GW, less than 5% of demand (>50% of which was being supplied by suddenly expensive gas).

Unreliable. Intermittent.

Words (among others) that have been used to describe wind power. Everyone knows that wind power is intermittent – sometimes it produces enough, sometimes too much, and sometimes too little. How important is this? Most of us do not see the present massive expansion of wind power as a threat to our daily lives. In the Twilight of the West, we have grown decadent, and blithely reliant on an unseen force, for all we know a mechanical daemon in a vast dark cathedral-like mill, to ensure that the quantity of power generated is matched to the quantity that is required and that the lights never go out. Few care and even fewer know what gyrations our diabolic servant has to go through to keep us coddled. The system has not failed, there is no hint that it ever will, and all is well.

To take things to extremes for a moment: it is obvious to anyone who thinks about it for a moment that an electricity supply composed solely of wind would have a variety of innate problems. To counter periods of low production we must install far more capacity than we would need during periods of high production. But even with an average production that is too high for our needs, there will be periods of time when too little is produced. For all its putative benefits, wind power is a parasite on the electricity grid, and it is rapidly outgrowing the vital potential of the host.

So much is obvious, or should be, even for those of us who believe the electrons squirting into our houses are in fact under the command of a beast whose twenty arms are a blur of motion as it does its eternal berserk work at the nerve centre of the UK grid. However, I thought it would be informative to know just how much of the time wind will leave us short and how much of the time it will leave us with more power than we know what to do with. To answer this question I went looking for a wind power frequency distribution, and found Drew et al’s 2015 article The Impact of Future Offshore Wind Farms on Wind Power Generation in Great Britain.^ Drew et al took the measured wind field from 1980 to 2013 and used it to estimate the power output of a future wind farm population. (The future they envisaged was all Round 3 wind farms being developed, and no existing wind farms being decommissioned. There was no precise date. The result is approximately 50 GW of capacity vs. the 10.2 GW at the time of the study.)

Year-to-Year Variability

The annual capacity factor of the future wind farm distribution is consistently larger, with a range of 33.2%–45.0% and a mean value of 39.7%.

[The existing wind farms produced on average less, being smaller and mostly onshore.]

With 50 GW installed, 100% capacity factor would provide you with 438 TWh of energy each year. The capacity factors calculated by Drew et al get you 146 TWh in the lowest year and 197 TWh in the highest. Meanwhile, the “Consumer Transformation” model of Future Energy Scenarios (FES) has 890 TWh of electricity per year in 2050, of which 645 TWh comes from wind. However, of this, 145 TWh is sent to electrolysis, and 164 TWh is sent abroad* (presumably the lion’s share of these two pathways is from wind). My own estimate from the energy required by that FES scenario was for 197 GW of installed wind capacity in 2050, 4 times as much as Drew et al.

Hour to Hour Variability

This is the most interesting scale of variability because it is the kind that causes our loyal daemon the greatest panic. [Actually wind might vary significantly at shorter timescales, but Drew et al have hourly wind data.]

The figure (Drew et al’s Figure 5b) shows the frequency distribution of capacity factor for the future wind farm scenario, in 2% bins. [The original legend states the bin width is 1%, but that would lead to an average frequency of 0.01, which is not seen here.] The quartiles are 18%, 36% and 60% capacity, so that 25% of the time we are over 60% capacity and 25% of the time we are under 18%. The mode (to judge from the little green crosses) is 8%, showing that the capacity factor most likely to occur is below 10%.

In the next figure I have adulterated the same graph with a magenta line that represents a hypothetical electrical generator whose output is a uniform random number in the range [0,100] – the result of rolling a hundred-sided die. As you can see, it’s quite a good match. In particular I would draw your attention to the width of the wind farm power distribution, which ranges from 0 to 90%. An ideal generator would instead provide a narrow (predictable) output, preferably as close to its nameplate as possible.

Lulled into a False Sense of Security

The next figure (Drew et al’s 7b) shows the predicted duration of lulls for the current wind farms (solid line) and the future wind farms (dashed line). Thus they expect lulls where output falls below 10% capacity factor for 20 hours to occur 20 times per year.

When our capacity is 200 GW, that means that output falls to 20 GW for a prolonged period (caveat: this is a slight worst-case scenario, because it arises from scaling up Drew’s 50 GW installed to 200 GW installed without the frequency of lulls decreasing). The 645 TWh that the FES wants from wind is power at an average of c. 75 GW. This type of once-every-fortnight lull leaves us 55 GW short, which not even our demented daemon yanking a hundred levers per second can deal with.

Don’t worry Scarbo old chap! We have contingencies for keeping the lights on. Contingencies, we’ve got contingencies, right? Other sources of power, stuff like that? We’re not actually going to be relying on the wind to blow, are we?

[Insert the sound of crickets here.]

Actually the FES’s Consumer Transformation scenario does have dispatchable power in 2050. Just not much of it:

Ramping High and Low

The output from wind farms varies moment to moment on the whim of Aeolus. But naturally the longer the timescales we consider, the higher the variation. The final figure shown here is Drew et al’s Figure 11b, showing the number of hours in a year for the future scenario where a subsequent power ramp of a particular magnitude is modelled to occur. The different colours (black, red, blue) represent 12h, 6h, and 3h periods respectively. Thus there are 2000 hours in a year where a 20% change in the capacity factor of wind power would take place in the subsequent 12h (black line). Translated to 2050 (caveats apply as above) that means a swing of ±40 GW on an average demand of 75 GW.


I leave you with a quote that I already pasted into Open Mic. I have italicised a key point.

…the decarbonisation of the energy system is one of the most important climate challenges that we face at the moment, but what happens is as you increase the amount of renewables that you have in your energy system, erm, you’re also increasing the vulnerability of that system to adverse weather conditions.

And what’s interesting about this is that these weren’t adverse weather conditions ten years ago, this was just nice, pleasant weather. It’s because we’ve got more and more wind power in the system that what we need to do now is think about ways in which we can strengthen that system and make it more resilient.

–Met Office’s Tom Butcher on Inside Science, R4, 23.ix.2021

Gales? Deluges? Not a bit of it. The harbinger of our doom is now a terrifying lack of movement in the tallest branches of the giant plane tree in the park over the way. As to our loyal daemon?

But soon his body developed a bluish tint, translucent like the wax of a candle, his face blanched like melting wax – and suddenly his light went out.**

Notes and References

^Drew, D. R., Cannon, D. J., Brayshaw, D. J., Barlow, J. F., & Coker, P. J. (2015). The impact of future offshore wind farms on wind power generation in Great Britain. Resources, 4(1), 155-171. [Available at MDPI.com]

*Regarding wind power exports, Boris’s gimlet eyes probably glittered when he realised that since a) fossil fuel generation is going in the bin and b) the UK has the best wind resource in Europe, we would end up sending excess wind juice to a grateful continent. We’ll see.

**I know, Scarbo is a mischievous goblin, not an enslaved daemon. But still.

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via Climate Scepticism


September 25, 2021 at 06:25AM

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