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Land demand for solar power

Solar energy for Germany, Europe and the world

There is a picture in the solar scene (picture 1) that probably almost everyone knows, it shows how large the surface area is when the world is switched to solar energy. It was, as far as I know, published by Mrs. Nadine May for the first time in her diploma thesis at DLR [1]:

Figure 1: Space requirements for solar power plants, according to Nadine May [1]
This image is widely used and should be checked for correctness. First of all, Algeria is the country that contains the squares for the world and Europe, and Libya, the country which possibly receives the German solar power plants, are no more colonies.

The squares have an edge length of: world 254 km, Europe 110 km and Germany only 45 km.

How big is the energy consumption in the world?

The energy consumption of the world is constantly growing (see figure 2), so it is difficult to specify the energy requirement without a reference year. Currently the demand is over 30,000 TWh (30,000,000,000,000,000 kWh) using the further processed data from the International Energy Agency (IEA). I have considered transforming factors for certain energy forms (transportation, heating) into electricity.

Figure 2: Global energy demand for electricity, transport and all other forms of demand

This energy should be converted with solar cells (PV) into electricity. There are several factors to consider, the efficiency, the irradiation in the course of a year and the necessary storage of the energy for the night.

Solar cells made of silicon achieve an efficiency of around 20% and are currently the most economical method to generate large amounts of solar energy.

The irradiation is very different in different regions of the earth, in particular one must always distinguish between direct and global irradiation. For photovoltaics (PV) only the global irradiation plays a role. Therefore, only these radiation is considered.

Figure 3: Global radiation perpendicular to the ground (source: WEC [2])
The map shows that many areas have an annual irradiation capacity of 2000 kWh per year, in particular the Sahara, but also on other continents good locations can be found; only exception is Europe.

Necessary Land Area

The necessary areas of the solar cells can now be easily calculated. For the world, we need 30,000,000,000,000,000 kWh per year, since one square meter has an incidence of 2000 kWh which would theoretically be 15,000,000,000 m� or 15,000 km�.
Now the efficiency comes into play, since only 20% is converted into electricity, we need the fivefold area, that is 75,000 km�. However, one has to be able to build the cells and needs paths and additional areas for inverters and storage, which should double the space requirement. This is 150,000 km�.
The transport and storage of energy, which is absolutely necessary, since at night the sun doesn't shine, will consume another 25% of the energy, so we are at 200,000 km�.

This corresponds to a square of 448 km of edge length, roughly twice as large as in the drawing.

Fair World

Currently, only a few people consume a lot of energy and lots of people have little energy. I am convinced that in the long term all people want at least to reach the standard of living as in Germany. For this, an energy quantity of 15,000 kWh per year and per person would be necessary. There are some countries that already have a much higher energy requirement, but we hope that energy efficiency will also save some energy.

With a world population of 8 billion people, this will yield an annual energy demand of 120,000 TWh or 120,000,000,000,000,000 kWh, or four times the current demand. This would increase the area with solar cells to a square with an edge length of 1000 km (Fig. 4).

Figure 4: Supply the world completely with solar energy in the future
Furthermore, the area of ??one million square kilometers is still small compared to the Sahara, but a serious part of the solid surface of the earth. The world has about 15 million square kilometers of sunny deserts, which means about 1/15 of this area must be used in the future for solar cells to deliver enough energy.

Storage requirements

If it is assumed that the energy must be stored for at least one day, this requires a storage capacity of 330 TWh (330,000 GWh)
Compared: Germany has pumped storage with a capacity of 0.04 TWh.
If large Gravity Storage systems with 80 GWh capacity (500 m diameter) solves the problem, a considerable number of 4000 pieces would have to be built.

Using batteries from Elon Musks Gigafactory, the gigafactory produces at a planned capacity 50 GWh per year; over 6000 years of production or 400 Gigafactories for 15 years are required. This is to provide the capacity for the first time and we have to continue production because batteries must be replaced after 15 years.

Gigantic conversion

If the global conversion to solar energy succeeds, huge buildings in the form of gigantic solar fields will be necessary. Surely the roof surfaces are never enough. Furthermore, investments are in the order of magnitude of the global gross social product of one year ($ 80,000 billion). This sounds a lot, but it will help mankind to be sustainable. Especially when one considers that afterwards energy is produced clean, without CO2 and at a low cost.

I think: we can do it!


Sources:

[1] Eco-balance of a Solar ElectricityTransmission from North Africa to Europe, Diploma Thesis of Nadine May, Braunschweig, May 2005

[2] World Energy Resources Solar 2016, World Energy Council 2017

A 186 page paper going into details is from Jakobson et.al., 100% Clean and Renewable Wind, Water, and Sunlight (WWS) AllSector Energy Roadmaps for 139 Countries of the World

World Energy Congress 2016 in Istanbul


From 9th-13th October 2016, the World Congress on Energy was held in Istanbul. It was the 23rd Congress since 1923.

The topics of the congress were distributed over the entire energy area, including the oil and gas production and renewable energies. There were many important statesmen like Russian President Vladimir Putin and the Turkish President Recep Erdogan, including many other government members from different countries, including the visit of Israeli Energy Minister Yuval Steinitz, the first official meeting after six years frozen relations between Turkey and Israel.
Side by side, Putin and Erdogan at the conference in Istanbul

Vladimir Putin talk was about the importance of energy and the price of oil, a remark about a co-operation with OPEC during the speech has moved the oil price to rise by 2 $! He was the only statesmen, who included the words "exponential growth of solar energy".

The issue of energy just brings together not only scientists and engineers, but also politicians and diplomats. The global linking of energy distribution, especialy natural gas, plays an important role and Turkey was presented as a hub between Asia, Middle East and Europe and the Mediterranean.

The world's energy

All participants have concluded, that the energy transition towards renewable energy, particularly solar and wind, is on the way. However, the completeness and how fast that arives is controversial. While I am convinced that before the end of the next decade the significant change of the energy system has been completed, Marie-Jos� Nadeau, Chair, World Energy Council believes that in 2060 the share of renewable might reach only 50% of total energy production [1] ,
Marie-Jos� Nadeau, Chair, World Energy Council

This is understandable from the perspective of the energy industry. They trade with oil, coal and natural gas. Should the change take place quickly, the oil and the coal is not any longer requested by the market. The industry worries about stranded resources. This means the oil in the ground, on which the wealth of large companies and nations is based, may become worthless.

Key issues in the energy transition in the coming decades

The importance of the Paris Convention for the CO2 reduction was repeatedly stressed. Generally, however, many see only a shift from coal to natural gas, as is well known, natural gas produces half as much CO2 when it is converted into electricity than coal! This is due to a fact that a methane molecule consists of one carbon and four hydrogen atoms, but also to the better efficiency of gas power plants.
Key finding: the phenomenal rise of solar and wind energy will continue!

Power Turntable Turkey

At the conference in Turkey, the geo- (energy-) strategic role of  Turkey was stressed by Erdogan.

Important oil and gas pipelines connect large resources of Asia with European customers, more gas and oil pipelines are planned.
Strategic position of Turkey

Finally, the construction of a new gas pipeline connecting Russian and other Asian gas fields to Europe by crossing Turkey, were one reason why Putin, but also the President of Azerbaijan, Ilham Aliyev, showed up in Istanbul.

The Importance of Hydro-Power

It's a certain irony, the most important renewable energy in the global mix, providing at least 71% of all renewable energy is hydro-power, or 6.8% of global electric energy production, is a often forgotten big player.

The importance of hydro-power may lie in a combination of solar, wind and hydro-power. At the conference solar power as named a water saver, in the form that during the day the turbines are shut down at the dam resulting in increasing water level, during the night, with redoubled turbines, water can be used for power generation. Thus normal dams are important energy storage elements for the energy transition. ot to forget pumped hydro storage or even the new technique of Gravity Storage .
A nice photoshop picture used as advertising billboard in Istanbul

There are, at least in Africa and in South America, still many untapped hydropower "reserves". However, anyone was well aware that each dam has also an enormous impact on nature and very often engages in the habitats of people! Especially in India, the water of the rivers is sacred and thus hardly the construction of dams possible as mentioned by Richard M. Taylorlearned Chief Executive, International Hydropower Association.

Africa to get electricity

While the inhabitants of the Americas and Asia are almost completely supplied with power, in Africa there are still 600 million people without electricity. This means no light, no easy way to charge a mobile phone, no fridge and no welder.

The last day of the conference was therefore devoted to Africa. In Africa, here essentially black sub-Saharan Africa was meant, you have to think about the huge areas and the still sparsely populated countries. This makes the construction of a conventional electric grid network uneconomical and therefore solar energy stand-alone systems and microgrids are very important.
The forum "Talent and Capacity Building" moderated by Samir Ibrahim from Kenya, right Sanjit 'Bunker' Roy from India, next to Andreas Spiess, Solar Kiosk , from Germany.

The practical implementation requires some knowledge of electricity and solar energy. Bunker Roy helps the people with his Barefoot College to teach this to everyone. While he teaches women worldwide (Grandmothers) to practical issues of the use of solar energy, an impressive project!

Andreas Spiess tries with his, as he stressed, commercial solution of the solarkiosk promoting the dissemination of locally adapted use of solar energy in Africa.

The Exibition

There was a international exhibition were companies and countries presented interesting ideas and investment opportunities.
Booth of Heindl Energy GmbH

The Heindl Energy GmbH has presented the "Gravity Storage" technology on its exhibition stand. Unfortunately, very few companies from Europe were represented at the fair. The booth was right next Aramco, the largest oil company in the world from Saudi Arabia. As far as I have observed, our stand had awakened almost more interest.

A 600 MW power plant on the water for emergency cases

There were of course many other interesting exhibition stands, I found the idea of ??"power ship" interesting, which is a ship with a complete power plant (up to 600MW), inclusive substation, which anchors in a port and supports the local power generation, after a natural disaster or for other reasons.

Reference:

The Vision of China State Grid

The energy production in the future will be based on wind an solar power. Even in a carbon rich power production country, like China there is no doubt about this long term development.
At the Dii conference 2015 in Dubai, I learned in the presentation given by Han Jun, Senior Vice President, State Grid Company of China, that a global energy grid can solve the problem of intermittent power production.
State Grid China, vision of a global electricity balance

  Is a global grid possible

The idea, to have a global grid is simple, but the physical hurdles are hard to overcome. The best solution would be, we take a high temperature superconductor and span the globe with this type of grid. The only remaining problem is, we don't have the technology, and although "high temperature superconducters" (Working at -130�C not high in everyday experience) have been discovered 1986 by Georg Bednorz and K. Alex M�ller at the IBM laboratory. Till today it was not possible to construct a power line on the base of this very brittle material.

Knowing this, the only path in reality is the use of high voltage direct current connections. And it has been shown by Chinese engineering, that the power connection between the three gorges dam and the 2,600 km distant city of Shanghai works to transport 7.2 GW of electricity.

Knowing this, we can try to calculate the necessary equipment to transport the power of wind and solar energy around the globe by conventional technology. 

How much power?

The first question concerns the amount of power that has to be delivered to far apart regions and continents. Today, a conventional power fleet of 5300 GW produces electricity where the consumers live. In a renewable future, this will still be true in some part for solar and wind, but it might be necessary to transmit 10% over very far distances. This would require a power line, able to transport about 600 GW and with a length of 10,000 km. 

This assumptions are very rough, but it is helpful to start with a plausible range, additional demands are then simple multiplications of the result. If we assume that the power line has a voltage of one million Volts, the current through this line is 600,000 Ampere and we don't want to loose more than 20% of the energy within the line. 

With these assumptions, the resistance of the line has to be in the range of R=U/I = 200kV/600kA = 0,3 Ohm. Knowing this, we can lookup in the table of material properties the necessary material demand. Only cooper and aluminium seem to be sufficient, aluminium is much cheaper, so we take aluminium. The electrical resist of aluminium is 28.2 nO�m. The diameter of the 10,000,000 m wire has therefor 1 m�, quite thick, but able to transport a significant amount of our global electricity demand on a intercontinental distance.
Sources of electricity in the year 2050, estimated by China State Grid.

How expensive is that cable?

To get an idea of the price, we have to know the raw material price of aluminium. At the moment, aluminium sells for 2000 $/t, with limited deviations from that value. Our power line needs 27.000.000 tons of aluminium, because the density is 2700kg/m�. The pricetag is 14 G$, not that bad, if we consider the impact to the global power supply.
A real cable will be at last ten times as expensive as this first assumption, because we have to include an isolation, that can keep one million Volt, but even a price of 140 Billion $ is small compared to the equipment, that is necessary to produce the power.

To produce 600 GW of power, even the cheapest wind power converter at the best suitable places around the arctic circle would cost 600 Billion $.

Impact of a global Grid

A global grid would be a tremendous step to a reliable energy supply. We can compare the solution with the alternative path of large scale storage. The necessary storage for 600 GW over 10 hours needs a capacity of 6000 GWh. This could be done by ultra cheap Lithium Batteries with a price tag of 300$/kWh or 1,800 Billion $ for the required amount. Using the Hydraulic Rock Storage HRS technology, the price could be reduced to 600 G$.

A global grid would use the oceans to wire the continents. The ocean floors are a relatively save place to wire the world, as we already know from the internet fiber optic cables. Another advantage is the international law, the floor of the ocean is not under the same dispute as the land surface and it seems much easier to get a permit to roll out the cables there.

When a country like China takes the lead to interconnect the continents with electric cables, this would change the way, we think about local generation of power. But keep in mind, today, our energy supply system is intercontinental over the ocean, the supertankers distribute comparable amounts of energy over the ocean. 

Hydrogen or Electricity

Hydrogen seems to be the perfect energy carrier. Everything from heating, moving with a car and chemical processing should be powered by hydrogen. The idea of the hydrogen age is quite old and dates back to 19th century, when the great science fiction writer Jule Verne published 1874 the idea, that in the future, hydrogen will power everything we need.
"And what will they burn instead of coal?"
"Water," replied Harding.
"Water!" cried Pencroft, "water as fuel for steamers and engines! water to heat water!"
"Yes, but water decomposed into its primitive elements," replied Cyrus Harding, " Jules Verne, The Mysterious Island , 1874 [1]
Hydrogen was used for the first time to fill balloons (Source: Wikipedia)

Why are we still in the electricity age?

Electricity seems to be one of the greatest innovations, mankind ever made. Electricity has some advantages, which other technologies do not even come close to. Let me list some of them:
  • Speed of light: Electricity travels with the speed of light, and can be transmitted theoretically within a tenth of a second around the globe
  • No mass transportation involved: To transport electricity, we don't need to build trucks, railways or ships, because there is no mass during transportation present
  • Almost no conversion loss: To convert electricity into mechanical energy there is almost no loss, the efficiency in a modern electric motor is significantly higher than 90%
  • Multiple applications: Motion, light, information processing, heat, chemical reaction, sound, and unlimited other applications can be driven by electricity
  • No emission: This is a statement about electricity itself, not about the production of electricity.
  • Simple distribution even to the smallest applications with simple wires
  • No risk of explosion
Although the list of advantages is impressive, there is a hard problem remaining with electricity, and this is storage!

We have seen 100 years of research, but only a limited number of efficient storage concepts for electricity are available. Bulk storage is covered by pumped hydro systems, converting electrical energy into gravitational potential energy with a high efficiency of 80% during a roundtrip. Pumped hydro is therefore the absolutely preferred technology, when large amounts (GWh) of grid power have to be stored, in simple words 99% of grid storage is pumped hydro based. 

Small amounts of electricity in mobile devices from smartphone up to electric vehicles are powered by batteries of different types, preferred Li-Ion batteries.

Here comes Hydrogen

Every new concept of energy carrier needs at least some advantages over the previous one. Hydrogen has a big advantage, it is a storage concept for energy by itself. 

One kilogram of hydrogen contains 33 kWh of energy, if it is converted to water and we use the oxygen of the air and don't count the weight of the air. This number is the highest for any chemical, this is three times more energy than one liter diesel contains. But there is a problem, hydrogen is the gas with the least density, useful for balloons and Zeppelins. One liter of hydrogen at normal pressure contains only 0,003 kWh of energy and this is, without any discussion, insufficient for any application.

There are three ways to enhance the energy density of hydrogen per volume:
  • Pressurize: Typical modern storage systems have 700 Bar pressure (1,5 kWh/l)
  • Liquidity: At a temperature of -252 �C hydrogen gets liquid (2,8 kWh/l)
  • Hide in metals: some metals suck up hydrogen in their crystal grid 
All these techniques ad some significant weight and cost to the hydrogen and in addition it costs some energy to reach the dense state of the hydrogen. Typical loss is about 10% of the energy by the pressurizatio or cooling process.

In summary, storage of hydrogen is expensive but not prohibitively expensive.

Conversion to Hydrogen 

Hydrogen is an energy carrier, not an energy source as often cited. There is just no significant amount of free hydrogen on earth, so hydrogen has to be produced. The standard process of hydrogen production is steam reforming, using natural gas to produce hydrogen. This is by no means a sustainable solution.

To produce hydrogen for a sustainable energy future, it has to be produced with electricity from wind or solar sources. This is possible, but expensive. The core problem is, an electrolytic process, that disintegrates water molecules to hydrogen and oxygen by its very nature produces oxygen. We like oxygen for breathing, but metals don't, they imitatively corrode if oxygen and water are present. To get rid of this problem, we have to use noble metals like platinum or palladium and they are expensive.
Modern electrolytic cell for hydrogen production (Source: Wikipedia)
Another big problem is, the conversion of electricity energy into hydrogen comes not without losses. Depending on the details of the process, we end up at 20-30% loss of energy, a significant problem.

Distribution of Hydrogen

Transportation of hydrogen is preferably done by gas pipelines. A well known technology from natural gas, although not with the same efficiency, due to the very low density of the energy in even compressed hydrogen gas. Another problem is, hydrogen is a very small molecule that can travel even trough metal grids, so special care is necessary to use the right materials. 

Today, no country has a large hydrogen pipeline grid, resulting in the problem, it has to be built from scratch. And a pipeline grid is very expensive!

Using Hydrogen

At the end of the pipe, hydrogen has to be used in power consuming applications. The simple way to use it, is to burn hydrogen. It generates clean heat, only water is emitted into the air. Sounds perfect, but it doesn't make any sense, because using the electricity that generated the hydrogen could have been used in a radiator, this would be not only more energy efficient, it is also less dangerous.

Hydrogen engine in a BMW (source Wiki

Cars can use hydrogen as clean fuel. A slightly modified combustion engine can burn hydrogen, emitting water and some toxic nitrogen oxides, therefore we still need a catalyst at the exhaust pipe.
Another problem is the very low efficiency of a combustion engine, somewhere at 25% of the energy in the hydrogen reaches the road to accelerate the car. Resulting in a very low overall efficiency if we start with electricity. Compare this result to a Li-Ion battery, where about 90% of the energy reaches the road and as a bonus, we can reuse the energy when we brake to charge the battery again!

Another idea is, to convert the hydrogen back to electricity, whenever needed. This is possible, using a fuel cell. The sad thing about this part is, it comes again with high cost due to the expensive precious metals and with more loss of energy during conversion.

Is Hydrogen the Future?

Summing up all this points, today, an electric grid in combination with pumped hydro and batteries in mobile applications seems to be the better solution for the rising age of the renewable energy world.
But there is always research and no one can predict, if there is a breakthrough in technology. But this is not only true for hydrogen technologies, it is also true for batteries, pumped storage, e.g. the Hydraulic Rock Storage seems to be one, and many other technologies.  

Comment by Elon Musk to hydrogen

Confusing Hydrogen and Hydrogen

It should be mentioned, that there is a technology of nuclear fusion, using hydrogen to produce nuclear power. This path of research was not very promising till today, although a new interesting path, low energy nuclear reaction, commonly known as cold fusion might be a very disruptive technology, but this is another story.

References

[1] Jules Verne, The Mysterious Island, part 2, chapter 11, 1874
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