3.4 Tower and foundation
96
coastal sites in Germany and between 1.2 and 1.8 for those at inland sites. The
higher values are valid for smaller wind turbines, below approx. 300 kW, the
larger values for the MW-class wind turbines.
The tower’s structural design (see the Campbell diagrams in chapter 8) is either
x soft or
x stiff.
A stiff tower design means that first natural bending frequency of the tower is
above the exciting rotor speed n, respectively the corresponding rotational fre-
quency. A soft tower design, on the contrary, means that the first natural bending
frequency of the tower is below the rotational frequency of the rated speed. At
these wind turbines during start-up, the passage of the tower’s natural frequency
has to be controlled in order to prevent resonance effects with increasing vibra-
tions of the system.
Fig. 3-52 shows the study of different tower designs for the wind turbine
WKA-60. The rotational frequency of 0.3833 Hz is for all designs below the first
tower’s natural frequency, i.e. for all is the frequency ratio f
0.1
/ n > 1. But the
blade passing frequency of 1.15 Hz (rotational frequency multiplied by the blade
number) is always above the first tower’s natural frequency. Moreover, it turned
out in the design study that for all steel tower designs the second natural bending
frequency was very close to this exciting blade frequency. Therefore, the WKA-60
was erected with a concrete tower.
The dynamic design of speed-variable wind turbines is a very tricky issue, see
chapter 8. While the towers for small and medium sized wind turbines of less than
500 kW are mostly stiff (i.e. rigid) constructions, the towers of the big wind tur-
bines have almost always a soft tower design in order to save on material and
costs.
Another tower design criterion is whether it is
x a self-supporting tower or
x a guyed mast (or lattice tower).
The stiffness against tilting and torsion of self-supporting towers is quite high,
but requires a high mass if it is to be stiff stiff against bending as well.
The lattice tower needs the lowest material mass for a stiff tower design: it may
save up to 50% compared to an equivalent tubular steel tower, cf. Fig. 3-52.
Moreover, due to having many connections, the structural damping is higher than
that of the steel tower. This was the reason why a lot of Danish wind turbines of
the first generation were designed with a lattice tower, cf. Fig. 3-2. Later, they
were less frequently used due to their visual impact on the landscape and also be-
cause of costs, given the higher share of labour cost involved in manufacture and
erection which is a disadvantage e.g. in Northern Europe. There is a higher degree
of automation attainable in the manufacture tubular steel towers with bending and
welding machines, Fig. 3-53, top.