[SI-LIST] Re: BGA vias outside the package

  • From: Scott McMorrow <scott@xxxxxxxxxxxxx>
  • To: Cosmin Iorga <ci249534@xxxxxxxxx>
  • Date: Wed, 28 Jan 2009 17:21:11 -0500

Cosmin
With all due respect, a microstrip formula for power traces sure can be 
used.  As long as the microstrip power and ground traces are above a 
plane, they are transmission lines and can be decomposed as such.  This 
is no different than performing a PEEC decomposition.  There will be 
transition issues at the boundaries between the trace and the parallel 
plates of the power system, but at these frequencies they are minimal.  
Will there be error? Yes, but as a first approximation, the microstrip 
traces will add incremental inductance (and therefore incremental noise) 
to the power system.  If you want to worst case the design, then the 
microstrip analysis can be performed with the reference plane maximally 
far away from the trace (say the thickness of the board).

I am, of course, assuming that the remainder of the power delivery 
network is modeled for via, spreading inductance, and capacitor 
inductance, using well-known analytical methods, as described in many  
papers.

http://home.att.net/~istvan.novak/papers.html
http://www.teraspeed.com/papers/cap_considerations_fpga_pds.pdf
http://www.teraspeed.com/papers/DC08_FullWaveCapacitorModeling_paper.pdf
http://www.teraspeed.com/papers/DC08_FullWaveCapacitorModeling_pres.pdf
http://www.teraspeed.com/papers/TF7_Bypass%20capacitor_inductance.pdf
http://www.teraspeed.com/papers/TF7_Bypass%20capacitor_inductance.pdf
http://www.teraspeed.com/papers/stack_up_vias_pdn_public.pdf


regards,

Scott




Scott McMorrow
Teraspeed Consulting Group LLC
121 North River Drive
Narragansett, RI 02882
(401) 284-1827 Business
(401) 284-1840 Fax

http://www.teraspeed.com

Teraspeed® is the registered service mark of
Teraspeed Consulting Group LLC



Cosmin Iorga wrote:
> I don't think the microstrip formula can be used for the 1.8V and 3.3V 
> traces, since the return current does not flow through the underneath plane.  
> The return current flows through the ground trace, so I suggest that an 
> evaluation of the loop inductance would give more accurate results than the 
> microstrip analysis.
>  
> Cosmin Iorga,
> NoiseCoupling.com
> --- On Wed, 1/28/09, V S <for_si2003@xxxxxxxxx> wrote:
>
> From: V S <for_si2003@xxxxxxxxx>
> Subject: [SI-LIST] Re: BGA vias outside the package
> To: si-list@xxxxxxxxxxxxx
> Date: Wednesday, January 28, 2009, 1:17 PM
>
> Scott,
>
> First I will complement your answer by adding -
>
> 1. Your have 4 pins on 1.8V rail. Assuming the four traces coming from the 
> four
> balls have no coupling the total inductance will be equivalent to the parallel
> combination of the inductance.
>
> 2. Find the change in current dI expected in your 1.8V rail. IF dV is the
> maximum change in the voltage that your 1.8V rail can tolerate then the 
> maximum
> tolerable impedance Z is given by dV/dI.
>  
> 3. Make sure that the impedance across all the frequencies as calculated in 
> the
> Scott's suggestion is less than this Z.
>
> You will need to repeat the things for your 3.3V rail. For calculating dI, 
> take
> into account the maximum current consumption and the take into account current
> due to charging the all IO pins simultaneously. If C is the capacitive load, 
> and
> if there are N IO pins, then this switching current can be gives as NCdV/dT.. 
> You
> should be able to find C on the datasheet. dV/dT can also be found on the
> datasheet. N is the maximum number of the IO pins. This switching current 
> should
> be applicable to 3.3V supply. I am not sure about 1.8V. I believe, 1.8V is 
> only
> the core voltage with not IO.  
>
> This will give you a pass or fail answer - or a ball park number. If you can
> achieve the result with you existing design that is good. Otherwise, increase
> the number of capacitors, use reduced series inductance capacitors. 
> Recalculate
> the check if you are meeting the required impedance target. 
>
> Vikas Shukla
>
> --- On Wed, 1/28/09, Scott McMorrow <scott@xxxxxxxxxxxxx> wrote:
>
>   
>> From: Scott McMorrow <scott@xxxxxxxxxxxxx>
>> Subject: [SI-LIST] Re: BGA vias  outside the package
>> To: 
>> Cc: si-list@xxxxxxxxxxxxx
>> Date: Wednesday, January 28, 2009, 12:43 PM
>> Ryan
>>
>> Use a 2D field solver to compute the impedance of the trace
>> you'll use 
>> to connect the outer layer planes to the balls.  If
>> microstrip, prop 
>> delay is approximately 150 ps/in.  Once you know your trace
>> impedance 
>> you can compute the incremental inductance.
>>
>> Z = sqrt(L/C)
>> tpd = sqrt(LC)
>>
>> solving for Inductance
>> L = Z x tpd
>>
>> For 50 ohm microstrip that would be 7.5 nH of inductance
>> per linear inch 
>> of trace.
>> For 40 ohm microstrip = 6 nH/inch
>> For 30 ohm microstrip = 4.nH/inch
>> For 20 ohm microstrip = 3 nH/inch
>>
>> You can use this, along with available publicly published
>> analytical 
>> formulas for planes and vias to compute the total
>> inductance in the 
>> power delivery system up to your ball pads, to determine
>> you power 
>> system impedance vs. frequency.
>>
>> regards,
>>
>> Scott
>>
>> Scott McMorrow
>> Teraspeed Consulting Group LLC
>> 121 North River Drive
>> Narragansett, RI 02882
>> (401) 284-1827 Business
>> (401) 284-1840 Fax
>>
>> http://www.teraspeed.com
>>
>> Teraspeed® is the registered service mark of
>> Teraspeed Consulting Group LLC
>>
>>
>>
>> Ryan Sequeira wrote:
>>     
>>> Would like to understand the effects of supplying
>>>       
>> power and ground to the
>>     
>>> BGA by connecting
>>> vias to the VCC/GND plains and traces outside the BGA
>>>       
>> package. 
>>     
>>> Pros: Allows for larger vias outside the package.
>>> Cons: Compromised noise performance through trace
>>>       
>> length added to VCC/GND
>>     
>>> trace length.
>>>
>>> Is there something else that needs to be taken care
>>>       
>> of....
>>     
>>> The BGA device is a CPLD, IO=3.3V, Core=1.8V, Fmax > 180MHz, VCCO(3.3V) - 11
>>> pins, VCC(1.8V) - 4 pins, GND - 15 pins
>>> The device is a 132csBGA, 0.5mm pitch, 0.3mm pad. So
>>>       
>> cannot afford to drop
>>     
>>> the vias within the BGA area. Microvias would be too
>>>       
>> expensive...
>>     
>>> Ryan
>>>
>>>
>>>
>>>
>>>
>>>       
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