1       As I understand it the 2/3 notion is simply a bulk efficiency taking
account of hydraulic losses, generator/transformer/line efficiency.

2       The most logical/efficient means to harness hydro for heating is
(ideally direct drive) heat pump. Ground source heat pumps are becoming
popular for new-build houses even in Ireland. You can get 3.5 kW heat from
the ground for every 1 kW pumping energy with a reasonable design
implementation. We are just talking about a loop of pipe 1 m under ground
and a heat exchanger. I would suggest for hydro people, who obviously have a
lot of water flowing by, that they immerse the pipes in the water unless
freezing pipes is a problem. It can also cool the house in summer and is
ideal with underfloor heating!!

3       If you live near enough to the generator you may be able to gain
heat from its inefficiency. i.e. if it is a 10 kW generator and 90%
efficient it is giving off 1 kW in heat...


Martin Leahy

Millstream Energy

-----Original Message-----
From: ReadFamily [mailto:[EMAIL PROTECTED]
Sent: 04 February 2005 14:13
To: [email protected]
Subject: Re: [microhydro] Confused about potential energy.




OK - so I am wrong about the potential energy - it is 1litre of water
falling 10 metres gives up = 98 Joules (and not 980).

A simple (and embarrassing) inability to multiply 9.8 x 10.

So for the temperature difference in the penstock - for every 10m (33ft) of
drop, the water temperature will rise 0.023 degrees Celsius (0.058 degrees
Fahrenheit).

That really is a small temperature rise.

Using the most efficient generator it would take 3500 litres water falling
10m to heat 1 litre of water from room temperature to boiling point for a
cup of coffee.

The sooner we start capturing this energy, and the more of it we capture,
the better off we will be when the oil reserves start drying up.

Dominic Read

  ----- Original Message ----- 
  From: Max Enfield 
  To: [email protected] 
  Sent: Friday, February 04, 2005 1:32 AM
  Subject: Re: [microhydro] Confused about potential energy.



  On 2 Feb I wrote: 

  > In the second case, the turbine impedes the flow of water and so less
energy is
  > lost as friction or needed for kinetic energy.  However the water must
flow for
  > the turbine to work and so some of the potential energy is still
consumed as
  > friction or converted to kinetic energy.  In the best case the turbine
is able
  > to extract up to two thirds of the potential energy. 

  As written, this is not correct and I humbly apologize to the group for
possibly
  adding to the confusion rather than helping to alleviate it.

  Typically in micro-hydro applications the objective is to extract as much
power
  as possible from the water stream.  Under these conditions the "two
thirds"
  property is correct.  However if a lesser amount of power is required the
flow
  rate can be reduced (with consequent reduction in frictional losses and
kinetic
  energy) so the proportion of energy available rises above the two thirds
value.

  The values for the proportion available to the turbine for different flow
rates
  are:

  flow rate as %age of open flow             proportion of potential energy
  available to the turbine
        57.7%                                                67%  (this
provides
  maximum power)
        40%                                                  84%
        20%                                                  96%

            
  The situation resembles the discharge of a lead acid battery - the slower
the
  rate of discharge, the greater is the total amount of energy that can be
  recovered.  

  So in theory, if maximum energy is to be extracted from the loss of
potential as
  a fixed amount of water falls through a fixed height then use as low a
flow rate
  as possible.  However, if there is adequate continuous flow then maximum
power
  (thus maximum energy over a given interval of time) is obtained at 57.7%
of open
  flow, even though one third is lost as friction and unrecoverable kinetic
  energy.

  In practise though it is not quite this simple.  As the flow rate drops
any
  turbine will be operating at such a low part flow value that the reduced
  efficiency of the turbine will hardly compensate for the increased
proportion of
  available potential energy.  Also in my experience, the flow rate through
a
  penstock seldom exceeds 25% of its open flow value.  So in considering the
total
  picture of converting the power of flowing water to delivered electricity,
  penstock losses are usually of minor concern.


  Dominic Read replied with:

  > Following your best case that we could extract 2/3 of this energy for
electrical power then each litre of water with a head
  > of 10m could produce 980 Joules. 
  > 
  > So a flow of 1 litre per second with a 10 meter head could theoretically
produce nearly 1000 Watts.
  > 
  > I wonder how close to that ideal any micro-hydro project has ever come?

  I haven't followed your calculations in detail, but at some point you are
out by
  a factor of 10.  The potential energy of 1 litre of water at 10m head is
98
  joules.  If this falls at a rate of 1 litre/sec the hydraulic power is 98
watts.

  The water-to-wire efficiency of micro-hydro projects varies greatly,
however for
  systems delivering less than 1kW it usually lies between 35% and 60%.


  Frank Leslie replied with:

  > Is "two thirds limit to the power " related to the Betz Limit of 59.3%
of
  > available power in the wind power domain?

  No, it is quite unrelated.  The "two thirds" limit relates to the
proportion of
  hydraulic power available to a turbine and says nothing about limits to
which
  the turbine is able to convert the hydraulic power to mechanical (shaft)
power.

  Over the past two or three years there have been some insteresting
postings to
  this group regarding turbine (and also waterwheel) efficiency limits.  I
would
  think that the theoretical efficiency limit for the Gorlov helical water
current
  turbine would come conceptually closest to the Betz limit for wind
turbines.

  Regards,

  Max Enfield
  Planetary Power






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