(Source: Brunei Times)
The next day, while I was reading the news, it made headlines, quoting a 231 MW 'savings'. When i first read it, i was shocked. To have a better feel of the numbers, Brunei has a total installed capacity of about 800 MW; Brunei is looking into buying 400 MW electricity from Malaysia (wow!). and to save 231 MW for a period of on hour means Brunei managed to slashed its power consumption by more than 25% in that hour. In fact, at night, as you can see from the graph, the power required is only about 480 MW. To cut 231 MW means nearly half of the nation's requirement on electricity was shut down.
Did this happen? No.
Let me try to explain this. We first have to turn to secondary school physics lessons to understand the difference between energy and power.
Electricity is a form of energy and the Joule (J) is the normal unit for energy. Power, on the other hand, is the rate of energy used, i.e. the amount of energy used per unit time, expressed as J/s, or the Watt (W).
For e.g., if your kettle is labelled 1.5 kW, and you turn it on for 6 minutes, the energy used is 1500W x (6 x 60)s = 540 000 J. [Energy = Power x Time]
Now for convenience, we can also express it this way. 1.5 kW x 0.1 h = 0.15kWh. It is still power multiplied by time, just that the unit for energy is now kWh. Your electricity bill will be charged by the amount of kWh you use.
Let me stress once again, that kWh is a unit for energy while kW is a unit for power. Power is energy/time; Energy = Power x time.
Now that we're clear, let's have a closer look at the reporting of the Earth Hour. (http://www.bt.com.bn/en/news-national/2010/03/29/brunei-saves-231mw-during-earth-hour)


(Source: Brunei Times & Department of Electrical Services)
There are a few things to tackle here:
1) First of all, you can't save 231 MW of energy. MW is not a unit of energy. In fact, it is quite clear that the difference in power consumption between the two days only ranges about 30-40 MW depending on which measurement you look at.
Another number quoted was that over that hour, we saved 38.5 MWh of energy - this is consistent with the units used and I think this number came from the Department of Electrical Services. I was wondering what mathematical gymnastics the reporters did to get 231 and stumbled across this: If we multiply 38.5 by 6 measurements, we get 231. (!!!) does it mean anything? Not really. If we did this, it's the amount of energy you would save if you do earth hour 6 times, and the units are MWh. (not MW)
You can't say you save 231 MW of energy. It's like saying I drove across 80 km/h of distance.
okay that's bad reporting out of the way - let's look at more meaty stuff.
2) 38.5 MWh saved over that hour. How did they arrive at this number. With the data given on the newspaper, I did a calculation based on the difference in the blue and red curves and integrated this to get energy. (See method 1 in the table). I got a value of 38.2 MWh, which is reassuring.
For those not familiar with integration, it is basically the summation of the 'area under the curve'. To get energy, the function of power is integrated over time. think of it as power x time = energy.
Now we have to argue whether the assumption that the energy usage for the 26th is the same for the 27th.
Earth Hour started at 8.30pm. What was interesting to me is that even by 8.00pm, there is already a difference in power level of about 20 MW between the two days. (see first 3 points of the red and blue) I then proceeded to take the average difference between the three points, and moved the blue curve down, creating the green curve.
This assumes the same trend, only with a difference determined by the first three points. What i'm saying is that if Earth Hour did not happen, the green line is what I would expect to see. (This is only a first approximation using the data available - you can argue that energy patterns for Saturday and Friday are different, but then you would have to get information for previous Saturdays to compare)
So with this assumption in hand, the difference between the green and red curves, integrated to get a number in energy, gave a savings of 13.1 MWh within that hour.
3) Interpretations. This is where things get a bit waffly. Borneo Bulletin says we made a 'big drop' during Earth Hour. How big is big?
Again, by looking at the graph, the power hovers around 450 MW at this time of the day. so in 1 hour, the total consumption is about 450 MWh.
In Section 2, I highlighted that depending on what assumptions you use, you end up with a different number.
38.5 MWh savings during that hour is quite good, about 9 % savings. What i'm saying is that even before earth hour, there is already a 4-5% 'savings'.
If you take the estimate of 13.1 MWh, we made about a 3% difference during that hour. So yes, some difference was made from all that effort, just that we have to be realistic as to how much difference we made.
I think the largest contribution of Earth Hour is still in bringing awareness to the people. But this can be a problem if people are celebrating and cheering and following blindly without knowing what they are really up for. The green movement can be too easily politicised, commercialised and abused. Please be careful.
** Thanks to Chee Hui for the discussion and checking through the above concepts **


13 comments:
HAHAHA! Love it.
JinYang 1 , Brunei Times 0
LOL thanks! good to know that you enjoyed it. haha i spent a morning trying to put my thoughts into words. =)
Noticed an increase in political/pseudo-political blog posts of late. =) Politics may be your second calling. :P
lol.. no politics - i'm just doing the work that no one wants to do, i.e. checking numbers, checking reality. =)
Daniel Kumbang: haha dude it's probably written by some reporter who can't tell kg from N so he just directly quoted some 'optimistic' numbers from some engineer at the power company
Stanley Ang: did you put this to the editor?
Daniel Kumbang: i'm sure they wont get it. i've met engineers here who don't know the unit for pressure
Jin Yang Lim: Daniel: yea it's kinda sad when people don understand and still follow blindly
Stanley: thinking of giving the newspaper company an email..
Daniel Kumbang: it happens all the time.. i was in a school robot competition and one reporter from a local paper asked me 'so, how does it work?' the next day i saw in the papers something really off and the quoted me. that was seriously wtf. oh and apparently it's perfectly acceptable to quote wikipedia too..
Koh Chee Hui: A well thought out, well-written piece =) Just a note, its interesting that energy consumption was lower before earth hour. This ideally should be checked with the previous saturday data to see whether this is a frequent occurence on a weekend, or whether because people are aware that Earth hour is going to happen, and so they cut back on their consumption already (no one says that you can only cut energy usage during Earth hour only).
Ha, I love the pedantic part though.
Daniel Kumbang: electrical power consumption should have gone down if a significant proportion of the population turned off their lights, but if they used candles as a replacement, the carbon footprint may have gone up..
Jin Yang,
The data from Dept of Electrical Services of Brunei are actual data measured and not estimation. You used a few assumptions to un-validate the actual data.
Calculating energy consumption using high school mathematics is not the ideal way for this. There are several tools that are used by electrical industry to measure your estimation and reduction of uncertainties/assumptions.
Rizan Latif
absolutely.
firstly, i did not un-validate the data.
The electrical department provided the raw information (Megawatts) taken every 10 minutes. All my calculations are based on that.
I also managed to justify their estimation of 38.5 MWh saved that hour, proving that my estimation works to a first degree.
what I also tried to do explain is the difference between power and energy. This is not only high school mathematics, but also fundamental understanding of science. This is the result of bad reporting, not the fault of the DES.
Also if you think of it, DES also have to make some assumptions to calculate the savings. There is no perfect way of calculating the 'savings' unless you can turn back time and compare electricity consumption without Earth Hour.
If you have substantial suggestions, please let me know.
i agree with jinyang, if anything, the 'software' should account for real-world energy losses and predict lower savings than the ideal case, which is calculated by the 'high school mathematics'.
also, a note of caution.. software is merely a tool. you cannot 100% trust tools. this is why a sound understanding of basic theory is so important. you have no idea how many times HYSYS has told me to make a pancake distillation column. or like in programming, when you run tests on a code.
I think the post wasn't directed at the DES; instead its saying that the reporters did some poor reporting and misinterpreted the information supplied by the DES.
The problem with calculating energy savings is that regardless of whatever sophisticated mathematics/tools that the industry has, it all boils down to the assumptions used. We only observe energy consumption but not energy savings, and so energy savings have to be estimated. Ideally, we want to compare electricity consumption with Earth hour and electricity consumption without Earth hour, controlling for all other factors (i.e. same time, same temperature, and same activities) to generate energy savings. As we do not observe energy consumption without Earth hour (unless you live in a parallel universe), assumptions are used to generate the counterfactual.
What the post is saying is that the DES generated the counter-factual using information from the previous day consumption levels. The author disagrees with this assumption and so suggested controlling for the fact that the 27th and the 26th has different initial consumption levels, which needs to be taken into account of, thus giving a lower estimate of the energy saved. Another plausible counterfactual could also be constructed using the previous Saturday's consumption levels. Using these different assumptions will then generate a range of estimates for the true value of the total energy save. It is then up to the readers to decide which estimate is a more reliable estimate.
Oh, and to add on, I don't think its fair to argue that because its 'high school mathematics', therefore we should just treat it with a pinch of salt. No matter what, its just simply integration (how else will you generate energy used using the knowledge of power, I will have no idea). And I did not think the post "un-validated" the data from the DES as the simple first approximation is almost identical with the results of the DES. The debate is only with how will you define "energy saved", which is definitely not a measure, but an estimate.
as someone who has always struggled with math and physics, I have to say I'm surprised that I enjoyed and thoroughly understood this. Thanks for making this understandable for people who do try.
Hi von,
good to know that you enjoyed it. =) I hope there are more people like you who care enough to at least try to understand.
hope you're doing well..
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