Kirk:

As noted below the current will be shared by all modules in the string and the 
voltage will be the sum of the operating voltage at that current.
When mixed modules are used this results in differences between the operating 
voltages of each string in the system.
Having parallel strings with differing max power points will have an effect on 
the operation of the MPP tracker.
You should also consider the effect of the mixed modules on the MPPT of the 
inverter (or charge controller) and resultant reductions in energy yield.

Some inverters can "get stuck" on one of the a local MPP voltage as opposed to 
global MPP
This will reduce the overall energy yield - sometimes significantly.
A good max power point tracker will find the correct global MPP voltage.
The global MPP will be at a point that is between the upper and lower operating 
voltages of all the parallel strings and proportional to the current of each 
string.
Using your example Strings 1, 2 and 4 are close in voltage.
For simplicity I will consider them to be the same, i.e. approximately 389 Vdc 
with 2 strings at 3.6 Amps and 1 string at 5.5 Amps = 12.7 Amps
String 3 will be about 378 volts and 3.6 Amps.(the lower of the two module 
currents)
Note: You can calculate this voltage of string 3 more closely by looking at the 
IV curve of the higher current module when running at the lower current, i.e. 
this module will operate closer to Voc so the MPP voltage of this string will 
be slightly higher.

Using the numbers from your email, the voltage difference is 11 Vdc and the 
ratio of the currents is 0.779 = 12.7/(12.7+3.6) so the global MPP voltage 
should be about 8.6 volts (= 11*0.779) above that of string 3.
I would therefore expect global maxima to be around 386-387 Vdc (378 + 8.6 V) 
above the voltage of string 3.
Using 387 Vdc as an operating point you can estimate the mismatch power loss 
from the IV curves of the various modules.
String 3 will be operating above it's MPPT so the modules will be closer to Voc 
and the current will be reduced further and the overall power of that string 
will be lower.
Since the current changes as the modules move towards Voc you will need to 
iterate the calculation a couple of times to get close to the actual operating 
point and estimated reductions in energy yield.

Best Regards,

John Berdner
General Manager, North America

SolarEdge Technologies, Inc.
3347 Gateway Boulevard, Fremont CA 94538 USA  (*Please note of our new address.)
T: 510.498.3200, X 747
M: 530.277.4894

From: re-wrenches-boun...@lists.re-wrenches.org 
[mailto:re-wrenches-boun...@lists.re-wrenches.org] On Behalf Of Ray Walters
Sent: Monday, April 29, 2013 10:41 AM
To: RE-wrenches
Subject: Re: [RE-wrenches] unbalanced string voltages

Modules aren't exactly constant current devices. 
[cid:image001.gif@01CE44C8.11172300]
They are for much of their voltage range, up to a voltage a bit below the MPP, 
and then the current starts tapering down to 0 at Voc.  The entire string can 
only pass as much current as the lowest current module.  That means the higher 
current module will be forced to operate where it can, which is at a higher 
voltage than its MPP point, as David said.
If you don't believe us, hook up a couple of mismatched modules and measure 
voltage across each module, and the current. Current is always equal in a 
series connection, then the modules make up for it by moving up or down along 
their IV curve.



R.Ray Walters

CTO, Solarray, Inc

Nabcep Certified PV Installer,

Licensed Master Electrician

Solar Design Engineer

303 505-8760
On 4/29/2013 9:44 AM, Larry Crutcher, Starlight Solar Power Systems wrote:
David,

Since a PV module is a constant current device, I don't believe this will take 
place. For a given amount of light (plus all factors affecting power), the 
current potential will be there. What force can act upon the current to reduce 
it? Consequently, the lowest Vmp the inverter can track will dictate the 
voltage for all strings. This means less power from the highest Vmp modules. Do 
you agree?

Larry Crutcher





On Apr 28, 2013, at 9:33 AM, David Katz 
<dk...@aeesolar.com<mailto:dk...@aeesolar.com>> wrote:

Kirk
The 43volt 5.5 amp panel will operate at 3.6 amps, so it's voltage will move up 
toward open circuit voltage, raising the mppt voltage of that string.  I would 
bet that the voltage of that entire string will rise to match the higher 
voltage string by moving toward open circuit voltage.  It should work fine.
David Katz

Sent from my iPhone

On Apr 28, 2013, at 9:01 AM, "Kirk Herander" 
<k...@vtsolar.com<mailto:k...@vtsolar.com>> wrote:
Hello everyone,

I am at present adding to a -20- panel array of old Sanyo HIT "lipped" 200 watt 
panels. They are configured in -4- series strings of -5- panels, with a string 
MPP voltage of 279 vdc (55.8 v, 3.6 a each). The customer wants to add another 
nominal 2 kw using the (now) Panasonic 235 watt HIT's which have an MPP of 43.0 
vdc, 5.5 a. I am locked in to an existing SMA 6000US inverter. Obviously I 
cannot get all the strings to the same voltage. But I can get relatively close 
by rewiring:

String 1: -7- 200 watt @ 55.8 ea. = 390.6 v MPP
String 2: same as string 1
String 3: -6- 200 watt @ 55.8 plus -1- 235 watt @ 43.0 = 377.8 v MPP
String 4: -9- 235 watt @ 43.0 = 387 v MPP

Under this scenario there is a delta of about 12 vdc between high and low MPP. 
I assume the entire array will operate at the 377.8 V MPP. I know that the 235 
watt panel will be current limited also in string 3. Am I missing anything 
obvious in doing it like this? How will the inverter arrive at an operational 
MPP voltage?

PS. In a pinch I could install a leftover 200 watt HIT I have in the shop. That 
way I could have -3- strings of -7- 200's @ 390.6 v MPP, and one string of 
235's @ 387v MPP. But I would prefer not to use this panel since the frame is 
damaged.

Kirk Herander
VT Solar, LLC
dba Vermont Solar Engineering
NABCEPTM Certified Inaugural Certificant
NYSERDA-eligible Installer
VT RE Incentive Program Partner
802.863.1202

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