Don,

Please read my explanation and pay attention to the fact that
- the charger needs to provide a higher voltage (so, more energy)
  to feed power into the cell PLUS the internal resistance.
- the discharge delivers LOWER voltage, due to the energy lost
  across the internal resistance, reducing the output voltage
  and thus the delivered power, due to the power lost in the
  internal resistance.

The info that you are looking for is already in the answer I provided
earlier.

Regards,

Cor van de Water
Chief Scientist
Proxim Wireless Corporation http://www.proxim.com
Email: [email protected] Private: http://www.cvandewater.info
Skype: cor_van_de_water Tel: +1 408 383 7626


-----Original Message-----
From: [email protected] [mailto:[email protected]] On
Behalf Of [email protected]
Sent: Wednesday, June 19, 2013 5:08 PM
To: [email protected]
Subject: [EVDL] Resistance

It still does not answer or address where the energy comes from that was

loss in raising the cell or cells with the higher resistance over
ambient  
temperature. 
 
Yes the energy delivered to each cell in series is equal, but the loss
of  
energy as heat is not. This would be on both charging and discharging. 
 
As an example  NiMH cells in the past have a very high self  discharge 
rate. You can charge up a pack and they lose energy while reaching a
full 
charge. Cells that have higher resistance or are in a higher state of
charge 
lose more energy as heat then the others. If you let the pack sit in a
fully 
charged state they self discharge and the energy loss produces heat.
Enough 
that it actually helps keep the pack warmer in the winter. 
 
Once a NiMH pack has reached a full charge the only way it will retain
the  
same amount of energy is if you replace the energy lost as heat. 
 
Your saying "Still, if the heat does no damage and does not affect  
efficiency of
accepting charge"
 
It does affect the efficiency of accepting a charge and that added heat

also causes a higher rate of degradation to the warmer cells. 
 
Since energy is not created but only changes form, some energy is lost
as  
heat. 
 
Yes if all the cells had the same resistance and no other factors
involved  
the energy retained in each cell would be the exact same amount. 
 
Having heat without a loss of energy in the cells would be the
equivalent 
of a perpetual motion machine. 
 
Don Blazer
 
 
 
In a message dated 6/19/2013 7:01:51 A.M. Pacific Daylight Time,  
[email protected] writes:

Message:  1
Date: Tue, 18 Jun 2013 13:04:28 -0700
From: "Cor van de Water"  <[email protected]>
To: "Electric Vehicle Discussion List"  <[email protected]>
Subject: Re: [EVDL]  Resistance
Message-ID:
<a73bc4b8b3218642a56a2c9eb01b44e001ce1...@exchange.corp.proxim.com>
Content-Type:  text/plain;    charset="us-ascii"

Indeed. Current in a series  string is equal (by definition).
Only thing that is suffering from the  internal resistance is the
*Voltage*.
When charging, the bad (high  resistance) cell will cause a voltage drop
across its resistance, causing  extra heating and higher voltage (this
is
the loss that you were expecting,  turning energy into heat) but the
cell
is still charged with the same  current, so it just runs hotter
(depending on charge current, cooling and  other factors).
When discharging (driving the EV) the internal resistance  causes a
voltage drop that *reduces* the apparent cell voltage (Bill  sketched
the
model: a resistor in series with an ideal cell, we call the  value of
that resistor the internal resistance). This voltage drop again  causes
heating of the cell, which can be excessive if the voltage drop is
large
- if the internal resistance is large enough, the output voltage  can
even become *negative* which means that the voltage drop across  the
resistance is larger than the output of the cell. In those cases it  is
better to remove the cell from the string, not only due to the  bad
efficiency but more due to the risk to set fire to the battery pack.
One
example to illustrate:
Say we have Lithium cells (any chemistry, but  say the cell is at 3.5V
rest voltage).
Due to construction or abuse, the  internal resistance of the cell has
increased to 10 mOhm and you try to  pull 500A from the string of cells.
The resistor drops 0.01 (Ohm) * 500A =  5V while the cell tries to
deliver 3.5V so if you measure the terminals of  the cell under this
load, you will see the cell at 3.5 -5 = -1.5V.
The  ideal cell is delivering a power of 3.5V * 500A = 1750 Watts.
The internal  resistance is sucking up and producing heat to the tune of
5V * 500A = 2500  Watts.
Total power delivered by the damaged cell is -750 Watts (it is
consuming
750 Watts of power from the adjacent cell by dropping part of  the
adjacent cell delivered voltage across its internal  resistance)

Still, if the heat does no damage and does not affect  efficiency of
accepting charge, then the high-resistance cell will stay in  balance,
it
will just be inefficient and possibly disastrous in its  operation if
the
internal resitance causes dangerous heating to occur. It  is comparable
in electrical effect to a bad (corroded) terminal on a  lead-acid
battery, which can (and has, on my truck) heat up to the point  of
burning itself off the battery. However, in case of Lithium,  an
overheating cell can be quite dangerous while it is rare that  a
lead-acid battery burns.

Hope this clarifies,

Cor van de  Water
Chief Scientist
Proxim Wireless Corporation  http://www.proxim.com
Email: [email protected] Private:  http://www.cvandewater.info
Skype: cor_van_de_water Tel: +1 408 383  7626


-----Original Message-----
From: [email protected]  [mailto:[email protected]] On
Behalf Of Bill Dube
Sent: Monday,  June 17, 2013 8:54 PM
To: Electric Vehicle Discussion List
Subject: Re:  [EVDL] Resistance

Intuition would make you think so, but your intuition  turns out to be 
wrong in this case.

Reread Lee Hart's post on this  subject. He has it correct.

All cells get/produce the same current  because they are in series. The 
cells all are charged and discharged at  the identical rate. Thus, have 
the identical state of charge.  Any  imbalance is caused by unequal 
self-discharge, which is a strongly  influenced by temperature.

The variations in temperature are indeed  caused by variations in 
internal resistance. You can visualize that  resistance as a separate 
resistor in series with the (ideal) cell. It does  not influence the 
state of charge because the current is the same in all  cells.

It is the fact that the current is identical that is the  key. All 
electrons that enter one end of the string emerge on the other  end.
None

are lost. Each electron flips an ion in each cell. Whatever  voltage is 
needed is what there _will_ be, or electron flow will  stop.

True fact.

Bill  Dube'


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