The
short answer to this question is a "No"! Not all turboexpander
applications are equal and not all of them are complicated.
This
article is discussing a design characteristic that MIGHT cause turboexpanders
to be (regarded) a more complicated machine compared to other rotating
machinery. On a deeper level, it is addressing how power generation by a
turboexpander is different from other type of turbines and why turboexpanders
FALSELY have not been extensively utilized for power generation in gas pressure
reduction stations.
1.
Turboexpander Power Generation Capacity
Complication
in design and application of a turboexpander arises when a low flow rate and/or
a high-pressure ratio is involved. For a low flow rate, picture values in the
order of 1 Sm3/s and for a high pressure-ratio, imagine values
around 8 to 10.
A
detailed discussion of the reason for that complication is complicated itself!
Here a simple explanation is presented.
Power
generated by a turboexpander comes from energy (or more precisely enthalpy)
difference between its inlet and outlet, which depends on inlet and discharge
pressure and temperature.
From
another perspective, power generation is proportional to flow rate (Q) and pressure
difference across turboexpander (ΔP). A proof of this is presented in the next
section by a Dimensional Analysis.
Power ∝ Q × ΔP
Pressure
difference is the available potential. It is determined by the process and acts
as a driving force, waiting to happen! It can be wasted, or can be recovered in
the form of power. The means to recover it, is flow rate.
Flow
is the means to take advantage of the driving force, pressure. It contains the
energy associated with the pressure difference. By harnessing that energy,
power can be generated. A low flow rate does not provide enough means to utilize
the potential energy. It is not sufficient for turning potential energy to
kinetic energy.
From
rotating machinery engineering point of view, low flow rate means lower momentum
available on each pressure reduction stage. Then to be able to absorb the
available energy efficiently, the machinery needs to work at an increased speed,
hence increasing the momentum with the help of speed factor rather than the
mass factor. In other words, power is proportional to flow rate and (square of)
speed. This is shown in the next section by Dimensional Analysis.
Power ∝ ṁ × V2
The
higher the rotational speed, the more efficient is the turboexpander in
generating power from available potential energy. By operating at a low speed,
for example 3000 rpm associated with a 50 Hz generator, efficiency will be very
low, resulting in poor or impossible financial viability of the plant.
Complicated
turboexpanders are then limited to high speed, low flow, high pressure-ratio
turboexpanders. Careful considerations are required when designing rotating
machinery at high speeds, the most important one being aerodynamic stability
during transient operation, such as start-up and shutdown, while the machinery is
passing its critical speeds.
With
the current technologies though, high speed operation is not a big deal.
Numerous turboexpanders are successfully under very high speed operations all
around the world. However, these come at higher costs. The question then is the
classic one; are the capital (and operational) costs worth the revenue by power
generation?
Having
said that, there are many high flow rate applications suitable for utilizing
turboexpanders, resulting in low or moderate rotational speed, high power
generation capacity, and no complexity. Examples are industries requiring gas
for their processes or furnaces, such as Steel and Aluminium, and city gate
stations of relatively populated cities.
2. Dimensional
Analysis:
3.
Case Study
A
case study verifies the qualitative discussion presented above. With reference
to Table 1, it is shown that for the same pressure ratio (3:1), a low flow
turboexpander needs to operate at above 35,000 rpm to have a satisfactory
efficiency (of over 80%), while moderate flow and high flow turboexpanders give
an even better performance at 20,000 rpm and 10,000 rpm respectively.
While
operating a low flow turboexpander without a gearbox, i.e. at 3000 rpm or
generator speed, generates nearly zero power, power generation capacity of a
high flow turboexpander directly coupled to a generator is only 8% less than
its highest efficiency condition.
This
case study is made possible by effective utilization of TePS, Turboexpander
Performance Simulator.