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- Bioenergy chapter 1 -
Biomass as energy source: thermodynamic aspects
1
1. Thermodynamic aspects.................................................................
2
1.1 Introduction .........................................................................................2
1.2 Sunlight as a resource...........................................................................2
1.2.1 Potential energy from solar radiation.............................................2
1.2.2 Photosynthesis..............................................................................3
1.2.3 The total biomass potential ...........................................................4
1.3 Energy conversion................................................................................5
1.3.1 The 1
st
law of thermodynamics......................................................5
1.3.2 The 2
nd
law of thermodynamics and the Carnot efficiency..............5
1.4 Conversion of biomass .........................................................................7
1.4.1 Efficiency calculation for combustion............................................7
1.4.2 Gasification of biomass ...............................................................11
1.5 References..........................................................................................12
Krister Sjöström
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- Bioenergy chapter 1 -
Biomass as energy source: thermodynamic aspects
2
1. Thermodynamic aspects
1.1 Introduction
In this chapter we shall take a closer look at the thermodynamical aspects of
biomass and its conversion into other forms of energy. Special emphasis is given
to calculations in order to give an idea concerning the possibilities and
limitations of biomass as an energy source.
Because all biomass originates from the sun, solar radiation and its potential for
photosynthesis will be discussed first. The process of photosynthesis is briefly
introduced, with the main focus on the quantitative aspects. Once we know the
potential of biomass it is interesting to see how much of the energy stored in it
can be converted into electricity, heat or other forms of energy. In section 1.3,
an introduction to the theory of thermodynamics is given. This theory will be
used in the last parts of this chapter, where some basic calculation examples of
biomass conversion are presented. The first example is an efficiency calculation
of a biomass combustion process, whereas the second part concerns the process
of biomass gasification.
1.2 Sunlight as a resource
1.2.1 Potential energy from solar radiation
All the energy on earth, regardless of the form it is in (fossil fuels, heat, power,
potential and kinetic energy etc.) originates from the sun: the earth has a
continuous power input of 1.73 x 10
17
. On an annual basis this is 1.52 x 10
18
kWh. It is difficult to imagine the significance of this number, but it is in fact
about a factor 10.000 larger than the annual world consumption in 1995: 6.64 x
10
13
kWh, according to the International Energy Agency. One could say that
enough solar energy is therefore available to cover the world energy demand,
but this form of energy is unfortunately spread out over the whole area of the
earth, resulting in an average energy density of only 340 W/m
2
(Dunn, 1986).
The atmosphere has great influence on the energy flow to and from the earth.
The atmosphere reflects about 30 % of the solar radiation and a further 20 % is
absorbed on its way through the atmosphere. The remaining 50% arrives at the
earth’s surface. In figure 1:1 the global energy balance is shown. Notice that,
from the energy coming to the biosphere, a great deal is used for evaporation
while (almost all of) the rest is lost in the form of long wave radiation. This
means that the earth is actually heating up its own atmosphere due to absorption
of the radiation by particles, water vapour and the so-called greenhouse gases.
Only 0.05 % of the incoming solar energy is available for photosynthesis, but
that is still more than 10 times the annual world energy consumption. Some
authors state a number of 1 %, but that is the percentage based on solar
radiation entering the biosphere.
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- Bioenergy chapter 1 -
Biomass as energy source: thermodynamic aspects
3
Figure 1:1
Global energy balance (Dunn, 1986)
1.2.2 Photosynthesis
The biological utilization of solar energy is accomplished by photosynthesis.
Solar energy is trapped by chlorophyll (the compound that makes a plant green)
and the energy is used to convert carbon dioxide and water into organic
material. This chemical reaction can be written as follows:
H
2
O + CO
2
+ light energy
ã
C
n
(H
2
O)
n
+ O
2
(1.1)
Besides forming carbohydrates, C
n
(H
2
O)
n
, this reaction yields oxygen (all
oxygen in the earth’s atmosphere comes from this source). In reality, the
photosynthesis reaction that takes place is considerably more complicated.
However this is adequate at present. More about photosynthesis can be found in
chapter 2.
Figure 1:2
Losses in the photosynthetic process (Dunn, 1986)
Figure 1:2 shows the losses in the photosynthetic process. Of all incoming
radiation the plant itself reflects 20 %. When we consider the solar spectrum,
we know that it consists of light of different wavelengths: too long to be seen by
Krister Sjöström
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- Bioenergy chapter 1 -
Biomass as energy source: thermodynamic aspects
4
the naked eye (infra red), the visible part of the spectrum, and wavelengths
which are too short to be seen (ultra violet). A further discussion of the
characteristics of solar radiation is beyond the scope of this text, but it is
important to understand that not every wavelength in the solar spectrum
contains the same amount of energy.
Figure 1:3
Spectral distribution of solar energy (Dunn, 1986)
Figure 1:3 gives the spectral distribution of solar energy. Because not all
wavelengths can be used by photosynthesis, this causes losses. Dunn, 1986,
gives a maximum conversion efficiency of 50 %. The remainder is used for the
actual photosynthesis reaction which itself has an efficiency of 23 %. All these
losses result in around only 10 % of the incident radiation becoming converted
into fixed carbon. The plant itself will use up 40 % of this fixed carbon, mainly
by respiration. Organic material is then burnt in order to release energy. This
process is the reverse of the photosynthesis reaction (1.1).
This all leads to an overall theoretical efficiency of 5.5 %. In practice, however,
there are other sources of loss which further reduce the overall efficiency of a
field crop. These are:
-
partial cover by the crop (particularly at the seedling stage)
-
inability to convert high light intensities
-
shortage of water and nutrients
-
damage by animals or disease.
This all results in the following overall efficiency of photosynthesis:
0.5 - 1.3 %
for temperate areas,
0.5 - 2.5 %
for sub-tropical areas.
1.2.3 The total biomass potential
Earlier we have seen that of all solar energy arriving at the earth’s surface,
80 x 10
12
W is used for photosynthesis. This includes the aforementioned
average overall photosynthesis efficiency of 1 %. It is unrealistic, though, to
think that all energy stored in biomass can be converted into e.g. electricity.
Food and some building materials also originate from biomass. A very low
estimate is that only 10 % of all the energy stored in biomass can be converted
to electricity. This results in a total potential for biomass of 80 x 10
11
W, or on
an annual basis: 7 x 10
13
kWh. This means that the total potential of biomass as
an energy source is as big as the total world energy consumption in 1995:
6.64 x 10
13
kWh.
Krister Sjöström
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- Bioenergy chapter 1 -
Biomass as energy source: thermodynamic aspects
5
1.3 Energy conversion
In this section we take a closer look at the conversion of one form of energy
into another. We have already seen that energy can exist in different forms, e.g.
electricity, heat, chemical, potential, kinetic, radiation etc. In general:
Energy can be defined as the ability to perform work
.
Unfortunately it is not possible to convert any form of energy into another form
without losses. These phenomena are described in the so-called “laws of
thermodynamics”. The two most important laws will be discussed in this
section.
1.3.1 The 1
st
law of thermodynamics
One of the most fundamental discoveries in physical science was the
understanding that
the total sum of all forms of energy in a closed system is constant
.
If in a closed system a process occurs which increases one form of energy, the
other forms of energy must be decreased by the same amount. Another, more
popular way, of stating this first law of thermodynamics says that
energy is neither created nor destroyed
.
A very common mistake is to say that energy has been generated. This is
contrary to the first law of thermodynamics. What is usually meant is that
electricity has been generated or that energy has been converted (from e.g.
chemical energy into electricity).
The first law also implies that devices which have been claimed to continuously
produce more energy than they absorb, known as perpetual motion machines,
are impossible to construct; all examples suggested contain some kind of fallacy.
Very often this is a form of resistance (e.g. friction), which converts some of the
mechanical energy into heat. This latter form of energy can only partly be
converted back to mechanical energy, which implies irreversible losses. This is a
consequence of the second law of thermodynamics.
1.3.2 The 2
nd
law of thermodynamics and the Carnot efficiency
Consider a cylinder-piston system, filled with gas under the piston. When the
gas is heated up, it will expand and push the piston and with that produce some
mechanical energy. The second law of thermodynamics says that when energy is
transferred or transformed, part of the energy assumes a form that cannot be
passed on any further, i.e. that can do no work. Very often this low quality
energy is heat.
An energy convertor which operates in a cyclic manner and takes in energy
from a high temperature source, converts some of this energy to useful work,
and rejects the remainder to a cooler temperature sink, is called a heat engine
(figure 1:4).
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Introduction.pdf
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Lecture-00_Introduction_and_slides.pdf
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02BiofuelProduction
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05BiofuelCombustion
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