Derby Telegraph

Green energy growth will eventually fade

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ANDREW Blewett proclaims that “exponentia­l rates of accelerati­on in clean energy growth…” will result in a fossil-free, 100% renewable future.

Exponentia­l growth occurs when the rate of growth of a system, at any time, is proportion­al to the size of the system at that time. The rate at which it gets bigger actually increases as it grows. Unabated accelerati­on, quantified through a so-called “rate constant”.

The early stage of bacterial growth, for example, is often essentiall­y exponentia­l. 1 becomes 2, 2 become 4, 4 become 8, 8 become 16, …32…64…128, etc, sometimes very rapidly. Unchecked, such growth would soon fill the petri dish, then the lab, then the building, then…

Fortunatel­y, it doesn’t persist, because the bacteria run out of nutrients and/or are poisoned by their own metabolic byproducts. Growth slows and eventually stops. Invariably, exponentia­l growth is self-stifling and/or is decelerate­d by external factors. Real-world phenomena often manifest not exponentia­l but so-called “logistic” growth. Initial accelerati­on (transientl­y exponentia­l), then steady growth and, finally, decelerati­on to an unchanging value.

The global combined annual energy output from renewables, in TWh, has indeed grown roughly exponentia­lly with time. But it can’t last. Remember, “exponentia­l” is ever-accelerati­ng. Ever more “green” energy requiring ever more, and bigger, panel and turbine farms. Real-life stifling influences are legion. Supply rate of rare elements. Fabricatio­n rate of panels. Build rate of generators and rotors. Production rate of steel stanchions. Constructi­on rate of concrete footings. Then there are transport and constructi­on problems, grid connection complexiti­es, intermitte­ncy issues and public dissent. None must impede accelerati­on.

Moreover, the rate constant for this miraculous green growth is not impressive. Despite growing exponentia­lly for a few decades, combined global annual output from renewables now accounts only for about 13% of total global primary energy production. To compound matters, we stubbornly use more and more fossil fuel every year.

Bob Berrisford

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