Category: Samples

Bioclimatic Construction – mais oui, avec Sankey!

The French architecture company AMEO is specialized in construction bioclimatique. The term is probably best translated as ‘bioclimatic building’ … but sound much more chic in French!

The houses they build are made from environmentally sound materials (mainly wood, and other materials such as and cellulose-based materials) where ever possible. Local micro-climate is taken into account, and passive solar energy is used for heating.

Sankey Diagram for a Bioclimatic Building (Source: AMEO Architecture)
Used with permission of AMEO – Source: http://www.ameo-architecture.com

The company presents energy gains and losses and the advantages of the bioclimatic building to their customers using Sankey diagrams as the one shown above. Unfortunately two of the flows have no quantity indicator, and two of the quantity shown in the labels have probably been switched (see thin flow labeled 13779 kWh, but wide flow labeled 5850 kWh). However, I like this diagram for its simplicity.

Material Flows in the U.S. Food System

If you enjoy browsing for tidbits of interesting information on the web, I highly recommend the collection of fact sheets on the website of the Center of Sustainable Systems (CSS) at the University of Michigan. This series of 2-page papers on topics, such as energy, water, waste, transportation or buildings, targets at the ordinary citizen and presents scientific information with bulleted list of interesting facts, nicely illustrated with diagrams, and sometimes recommendations for individual behaviour (“What You can Do”).

The fact sheet on the U.S. Food Chain shows the material flows for providing food in a Sankey diagram. Data is from 1995, the flow quantities are in million pounds.

The inputs from the left are limited to crops, feed and pasture. Other inputs such as water, fertilizers, etc. are omitted. The actual quantity of food consumed by U.S. citizens is shown on the pink arrow (355,880 million pounds). Exports of food are shown in blue and are about the same size (355,560 million pounds). A large portion of material into the food chain goes into “respiration, animal losses and live animals” (the latter probably being fed back into the food chain at a certain point, I assume, so consider them a foodstock. ,-)

There is much more to find in this Sankey diagram. So why not take a few minutes of your lunch break to explore it and read the full fact sheet. And while your at it, why not eat a locally grown apple while doing so …

Diagramas de Sankey? Si Se Puede!

The Mexican National Commission on Energy Saving (Comisión Nacional para el Ahorro de Energía (CONAE) present several success stories (casos exitosos) on their website.

One success story dates back to 1997, and describes how an energy efficiency study of fired heaters (i.e. boilers) was carried out in a Nafta producing facility in the Veracruz state of Mexico. As a result of the study, several suggestions for optimization were implemented. Fuel consumption could be reduced by 23-24 %, while the efficiency of the ovens could be raised by 13% (calentador BA-2001 B) and 16% respectively (calentador BA-2001 A).

Para los hispanoparlantes: el título oficial del proyecto fue “estudio técnico económico e ingeniería conceptual realizada a los calentadores a fuego directo BA-2001 A/B de la planta hidrodesulfuradora de naftas, del C.P.Q. “La Cangrejera”, ubicado en Coatzacoalcos, Veracruz” (otro candidato para el concurso mundial de titulos largos).

The heat losses are shown as Sankey diagrams. The first describes the optimal situation, with an energy efficiency of 82,4 % “as guaranteed” by the maker of the fired heater.

The two other Sankey diagrams show the energy balance of the heaters A and B before the implementation of the measures. They run with an efficiency of 60,6 % and 62,35 %, a “real world situation of one fired heater” /

The arrows branching off at the top show the heat losses. I like the fancy icons that show how energy is lost through the walls, because of deteriorated or insufficient insulation, and heat energy in the effluent gases. The flows are given in MMBTU/h (millions of BTU per hour).

Unfortunately two of the diagrams are not to scale: The arrow to the right in the second diagram should be roughly 2/3 of the width on the left side. It is about 4/5 (or 80 %) of the width, similar to the width in the first Sankey diagram. This is a visual exaggeration of the inefficiency. However, I refrained from featuring this in my informal “Lying with Sankey diagrams” series. 😉

Edit 05/2015: the web pages are not acessible any more. I had to restore the image from a local copy, and removed references to two other diagrams I had references to. -Phineas

Energy Balance for California

California Energy Commission in 2005 published the final report of a project called CALEB (California Energy Balance). The CALEB database is compiled by the Lawrence Berkeley National Laboratory (Berkeley Lab) and contains “data for energy production, transformation, and consumption for the State of California for the period 1990 to present.”

The report shows the California energy balance for the year 2000 as a Sankey diagram. (Source: Murtishaw S, Price L, de la Rue du Can S, Masanet E, Worrell E, and Sathaye J, 2005. Development of Energy Balances for the State of California. Sacramento, CA: California Energy Commission CEC-500-2005-068 (LBNL-54923))

A PDF with this diagram explains how to read it:

Reading from left to right, the figure shows all the inputs of primary (and imported secondary) energy into California’s economy in 2000. These are summed by major fuel types in the middle of the figure: petroleum and associated products, natural gas, and inputs to electricity generation. The right-hand side shows how all of the fuels are allocated to the various end uses.

The executive summary explains that the diagram shows some peculiarities for ‘Arnieland’ compared to other states. It also points out that further research is needed to collect more data and to be able to break down aggregated energy data.

This way of presenting the energy balance seems to develop as a kind of standard for representing energy flows for a state or country. Other examples can be seen here: Japan, Scotland, U.S., or Sweden.

The diagram has two special features which distinguish it from other Sankey diagrams:

Firstly, it shows negative flows as dotted Sankey arrows, indicating “instances where consumption is greater than supply” – something which on a physical level is of course impossible, but is explained with statistical differences and “unexplained transformation gain … in petroleum refineries” (NB: I would prefer to read “data inconsistency” here).

Secondly the breakdown of primary energy and imported secondary energy (input from the left) is fanned out leaving gaps between the arrow lines. The merged arrows are then “condensed” to be to scale again. This creates a 45° gradient at one side of an arrow section (or “slope” for those of you who are into winter sports). In these sections the arrow width can not be proportional to the quantities. A tribute to pay for better legibility of the diagram.

Materials Accounting and Mass Balances

Environment Canada in 2001 published a Pollution Prevention Planning Handbook, a 153 page guidance manual on processes and techniques for pollution prevention. Update: The original handbook has been removed. Sucessor pages have been put online, and can be found here.

In appendix B of the handbook materials accounting and mass balances are presented as one technique. The text states that

materials accounting and materials mass balances can be presented in a tabular or diagrammatic format. A Sankey diagram provides one useful method for representing a picture of material flows and balances.

and a sample Sankey diagram is shown.

Although not all quantities of the individual flows are shown, and there is no reference to the unit used, I think this is a fine example of using Sankey diagrams. The mass imbalance at the first process “Presse” (at the very left) is clearly visible. From the neighboring downstream processes you can see that at least 2105 units (to “Trémie”) and 738 units (to “Évaporation”) leave the process, that has inputs of only 2616 units. The diagram was made with S.Draw.

Energy Sankey Diagram for Japan

Some of you might have noticed that I tend to get somewhat excited when I discover Sankey diagrams in other languages.

Here is one I dug out on this webpage of the Tsuji Labs at Osaka University in Japan, and it has the honor to be the first one presented on this blog in Japanese!

The diagram shows the “energy flows” (エネルギーフロー) as relative values for the year 1993 only. On the left side we can see that more than 80% of the energy consumed in Japan were produced from imported fuels (輸入), while only 17.8% came from domestic production (国内生産). The quantities are broken down into the different types of fuels, such as crude oil (原油, 46,1%) , natural gas (天然ガス, 10,5%) or hard coal (石炭, 16,4%). The right side of the diagram shows the consumption sectors, with industry (31%), residential (16,9%) and transport (15,6%).

Losses are at 29% which seems relatively low, if you compare to similar Sankey diagrams from the U.S. But then I am not sure if they accounted for the losses in the same way for this diagram.

There are these two other similar Sankey diagram thumbnails on that site, and my guess is that they represent different energy scenarios, considering renewable energy sources, as an option to reduce dependency from imports. Maybe someone who can read and understand more Japanese than I do wants to comment?

Biomass Utilization Potential

The first Sankey diagrams in Lao language I have come across are from a management summary on “Alternative Energy and Energy Conservation in ACMECS countries”. It shows how much biomass from wood industry, rice mills and other sources is available in the People’s Democratic Republic of Laos as rejects, and could potentially be used for generating energy. All values in tons per year for 2004 or 2005, extrapolated to the whole country from 4 to 6 samples.


Wood Industry: pink arrow is for sawdust, dark yellow arrow for woodbits, summing up to roughly 25%


Rice Mills: green arrow is for rice bran, yellow arrow for husks, summing up to 40%


Corncobs: orange arrow (20%) is corncob reject that could potentially be used for energy generation.

Even though I don’t read or write Thai, I love those letters. For those of you who wish to read the summary in English (with only 2 Sankey diagrams), a translation is available. Update Nov 2008: Unfortunately the website http://www.dede-acmecs.com has gone offline