Immsk
The application you indicate on your link (baghouse filter system) does actually lend itself to the use of a VFD for both energy savings and improvement of product quality. We have just finished a process for a large aggregate company who have included a VFD on the exhaust fan linked into the delta pressure sensor to maintain a constant pressure as the filters get loaded and then shaken and moved. If the load/pressure is constantly varying, there is scope to fit a VFD as long as you have the correct feedback
First, to answer your original specific questions:
1) If the dampers are closed, will the energy reduce? Slightly but not by much because the motor is still running at full speed. Closing the dampers will reduce load on the motor slightly and this slight reduction in load will have a slight reduction in energy. You should be able to measure this now.
2) calculate the energy reduction? I assume you mean, with a VFD. First, you need to work out what it is you are measuring and over what period of time. If the dampers are manually adjusted, you need to work out what is the reason the damper is being moved and by how much. An operator manually adjusting a damper must have some reason and this is what you need to find out and measure. Log this measurement and then use this data into the many (free) software packages available from drive suppliers and also government agencies.
If the dampers are simply open or closed for application reasons at each point, this is fairly straightforward but not as easy to simulate without knowing the actual airflow or pressure in the system.
As already pointed out, controlling the speed of a centrifugal fan could realise energy reduction by a cube proportional to speed of the fan. However, be realistic.
A key point is how long do your fans run for. The longer the better for a good ROI.
However, when looking into savings, always take into consideration the real costs.
A VFD will need an automated signal somehow to control the feedback of what it is you are measuring. Leaving something manual will inevitably mean it does not get adjusted and therefore not fully maximise any savings. Sensors will cost money.
Then you need to look at the installation of the VFD. Take into consideration where it has to be mounted, ingress of dust/moisture/fingers etc and build this into the cost.
Determine issues such as RFI interference and harmonic issues.
Factor in the efficiency of the VFD. You will get losses (2-3%).
A badly planned installation of a VFD will cost you money, not save. Ensure you work with a reputable company if going down this route.