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Bitcoin and Cryptocurrency Technologies

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we can use as an estimate that electricity costs around 10 cents per kilowatt‐hour (kWh) at an<br />

industrial rate in the US, or equivalently 3 cents per megajoule (MJ). If <strong>Bitcoin</strong> miners were spending<br />

all 11 dollars per second of earnings buying electricity, they could purchase 367 megajoules per<br />

second, consuming a steady 367 megawatts (MW).<br />

Units of energy <strong>and</strong> power.​In the International System of Units (SI), energy is measured in ​joules​.<br />

A ​watt ​is a unit of power, where one ​watt​is defined as one joule per second.<br />

Bottom‐up approach. ​A second way to estimate the cost is to use a bottom‐up approach. In this<br />

approach, we look at the number of hashes the miners are actually computing, which we know by<br />

observing the difficulty of each block. If we then assume that all miners are using the most efficient<br />

hardware, we can derive a lower bound on the electricity consumption.<br />

Currently, the best claimed efficiency figure amongst commercially available mining rigs is about 3<br />

GH/s/W. That is, the most cutting‐edge ASICs claim to perform three billion hashes per second while<br />

consuming 1 watt of power. The total network hashrate is about 350,000,000 GH/s, or equivalently<br />

350 petahashes per second (PH/s). Multiplying these two together, we see that it takes about 117<br />

MW to produce that many hashes per second at that efficiency. Of course this figure excludes all of<br />

the cooling energy <strong>and</strong> all of the embodied energy that's in those chips, but we’re doing an optimal<br />

calculation <strong>and</strong> deriving a lower bound so that’s okay.<br />

Combining the top down <strong>and</strong> bottom up approaches, we can derive a ballpark estimate of the amount<br />

of power being used for <strong>Bitcoin</strong> miners is probably on the order of a few hundred MW.<br />

How much is a megawatt? To build up intuition, we can see how much large power plants produce.<br />

One of the largest power plants in the world, the Three Gorges Dam in China is a 10,000 MW power<br />

plant. A typical large hydroelectric power plant produces around 1,000 MW. ​The largest nuclear<br />

power plant in the world, Kashiwazaki‐Kariwa in Japan, ​is a 7,000 MW plant, whereas the average<br />

nuclear power plant is about 4,000 MW. A major coal‐fired plant produces about 2,000 MW.<br />

According to our estimates then, the whole <strong>Bitcoin</strong> network is consuming perhaps 10% of a large<br />

power plant’s worth of electricity. Although this is a significant amount of power, it's still small<br />

compared to all the other things that people are using electricity for on the planet.<br />

Is <strong>Bitcoin</strong> mining wasteful? ​It’s often said <strong>Bitcoin</strong> “wastes” energy because the energy expended on<br />

SHA‐256 computations which don’t serve any other useful purpose. It’s important to recognize,<br />

however that any payment system requires energy <strong>and</strong> electricity. With traditional currency,<br />

considerable energy is consumed printing currency <strong>and</strong> running ATM machines, coin sorting<br />

machines, cash registers, <strong>and</strong> payment processing services, as well as transporting money <strong>and</strong> gold<br />

bullion in armored cars. You could equally argue that all of this energy is “wasted” in that it doesn't<br />

serve any purpose besides maintaining the currency system. So, if we value <strong>Bitcoin</strong> as a useful<br />

currency system, then the energy required to support it is not really being wasted.<br />

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