[SI-LIST] Low-Q Controlled-ESR Bypass Capacitors

  • From: "Hill, John" <jhill@xxxxxxxxxx>
  • To: <istvan.novak@xxxxxxxxxxx>, <Istvan.Novak@xxxxxxx>
  • Date: Thu, 25 May 2006 11:16:30 -0400

Istvan,

I have just finished reading your paper: "Overview of Some Options to
Create Low-Q Controlled-ESR Bypass Capacitors". I think it is a good
idea. But I read in your paper: "as of today no commercially available
such component exists"

That was back in 2004. Can we buy then yet?

Best regards,

John

-----Original Message-----
From: istvan.novak@xxxxxxxxxxx [mailto:istvan.novak@xxxxxxxxxxx]=20
Sent: Wednesday, May 24, 2006 9:30 PM
To: Hill, John; Istvan.Novak@xxxxxxx
Cc: steve weir; Larry Smith; Mark.Randol@xxxxxxxxxx; si-list
Subject: Re: [SI-LIST] Re: Capacitors arrays. worth it or not?

John,

Yes, you are correct, what determines the series resonance frequency is
the capacitance and the total loop inductance of the mounted part, the
body inductance will be part of it.

There are the following clarifications.  I would not use the length of
an 0508 capacitor body to estimate the quarter-wave resonance.  As larry
pointed out it is better to use the height of the part, which is about
30-50 mils for a typical 0508 capacitor.  Also, because the vertical
transmission line is loaded with the many capacitor plates, we end up
with a heavily loaded transmission line, where the approximate time of
flight is tpd~sqrt(LC) where L is the vertical inductance and C is the
total capacitance.

Regards,

Istvan Novak
SUN Microsystems


From: "Hill, John" <jhill@xxxxxxxxxx>
Date: Wed May 24 16:58:36 CDT 2006
To: Istvan.Novak@xxxxxxx
Cc: steve weir <weirsi@xxxxxxxxxx>, Larry Smith <LSMITH@xxxxxxxxxx>,=20
        Mark.Randol@xxxxxxxxxx, si-list <si-list@xxxxxxxxxxxxx>
Subject: [SI-LIST] Re: Capacitors arrays. worth it or not?

Istvan,
=20

Yes, I ran the numbers:

=20

Electrical length of AVX 0508 LICC is =3D physical length * square root =
of
Dielectric Constant.=20

The Dielectric Constant is somewhere above 10K. Let's use 10K.

=20

The wavelength is 4 time the quarter wavelength =3D 4 * the Electrical
length =3D 4 * 1.27 mm * square root of 10K.

=20

Frequency =3D C / wavelength =3D C / 4 * 1.27 mm * square root of 10K =
=3D 590
MHz.=20

=20

But the resonance on the data sheet is 10 MHz.

=20

So I guess we are back to the lead inductance and the capacitance of the
MLCC causing the series resonance.

=20

And this lead inductance can be reduced with a reduction in the loop
area of the leads to the MLCC and by reducing the length of the leads. I
am guessing that is why the IDC and X2Y capacitors work. They reduce the
area of the loop of current feeding the capacitor. Is this correct?

=20

Best regards,

=20

John

=20

=20

=20

________________________________

From: Istvan.Novak@xxxxxxx [mailto:Istvan.Novak@xxxxxxx]=20
Sent: Wednesday, May 24, 2006 4:49 PM
To: Hill, John
Cc: steve weir; Larry Smith; Mark.Randol@xxxxxxxxxx; si-list
Subject: Re: [SI-LIST] Re: Capacitors arrays. worth it or not?

=20

John,

The series resonance frequency of the mounted capacitor does=20
not directly relate to the open-ended transmission line of=20
the capacitor body.  The vertical transmission line that=20
Larry referred to has high losses, partly because of the metal=20
and dielectric losses, but also due to the electrical loading
of the plates.  You can get this kind of model described in:
"Slow Wave Causal Model for Multi Layer Ceramic Capacitors"
on http://home.att.net/~istvan.novak/papers.html

Regards,
Istvan



Hill, John wrote:



Steve,
=20
I am not so sure of this. In the MLCC there is a transmission line with
an end that is open. It is the open 1/4 wavelength transmission line
that provides the low impedance on the other side of the part.
Specifically, a 1/4 wavelength away from the open is a short.=3D20
=20
In the IDC part the end is shorted, not open. There is a difference and
I am uncertain how to predict the resonance. That is why Larry's
viewpoint is important. It provided a better understand of the fields in
the parts and why the resonance occurs in the first place. I would like
to understand the IDC parts as well as we now understand the MLCC parts.
=20
Can anyone explain to me the physics behind the IDC resonance as
compared to the MLCC resonance?=3D20
=20
I would also like to know the Dielectric constant of the MLCC ceramic to
run the numbers and confirm the electrical length of the MLCC part. It
would be interesting to confirm the measured series resonance is truly
predicted by the 1/4 wavelength of the MLCC parts.
=20
John
=20
-----Original Message-----
From: steve weir [mailto:weirsi@xxxxxxxxxx]=3D20
Sent: Wednesday, May 24, 2006 4:12 PM
To: Hill, John; Larry Smith; Mark.Randol@xxxxxxxxxx; si-list
Subject: RE: [SI-LIST] Re: Capacitors arrays. worth it or not?
=20
John, the physics is the same for an IDC.  The only difference is=3D20
that you multiple coupled lines in each part of Larry's model.  =
Until=3D20
you get to really high frequency, you can simply replace those with=3D20
smaller equivalent inductance of Ls - Lm.
=20
Regards,
=20
=20
Steve.
At 10:59 AM 5/24/2006, Hill, John wrote:
 =20

        Larry,
        =20
        Your analysis of a capacitor as a transmission line is very
insightful.
        It explains the physics behind why a MLCC has a series
resonance. I
           =20

then
 =20

        tried to apply the same technique to an IDC capacitor with both
        terminals of the capacitor on both sides of the part.
        =20
        I was not able to determine where the first resonance would be.
How
        would you apply this technique to an IDC capacitor? And for that
matter
        does anyone know where the first resonance would be for an IDC
        capacitor?
        =20
        Best regards,
        =20
        John
        =20
        -----Original Message-----
        From: Larry Smith [mailto:LSMITH@xxxxxxxxxx]
        Sent: Tuesday, May 23, 2006 12:47 PM
        To: weirsi@xxxxxxxxxx; Hill, John; Mark.Randol@xxxxxxxxxx;
si-list
        Subject: RE: [SI-LIST] Re: Capacitors arrays. worth it or not?
        =20
        Steve, John - here is another interesting way to look at it.
When a
        ceramic capacitor is mounted such that the capacitor plates are
           =20

parallel
 =20

        to the PCB plates, the capacitor forms a vertical transmission
line
           =20

with
 =20

        inductance per unit length and capacitance per unit length.  The
far
           =20

end
 =20

        of the transmission line is open circuit (air) and the near end
is
        nearly shorted (PCB power planes present a very low impedance to
the
        mounted capacitor).  This makes a quarter wavelength resonator
similar
        to a 50 Ohm transmission line that is open on one end.  At the
quarter
        wavelength frequency, the open circuit at the far end becomes a
low
        impedance node at the near end.  This is the series resonant
frequency
        of the capacitor.  The peaks and dips that you might see beyond
the
        series resonance of the capacitor are associated with the half,
3/4,
        full,  1 1/4, etc, wavelengths of the capacitor transmission
line.
        =20
        To see this effect, you must mount the capacitor on vias and
pads that
        have less inductance than the capacitor itself otherwise the
resonance
        is completely dominated by the mounting inductance.  Tall
capacitors
        with very low ESR show this effect the best.  I was evaluating a
bunch
        of capacitors one time and the 33nF NPO 2220 size capacitor
strongly
        exhibited these properties.  It is very tall and has low ESR
because of
        the many, many plates.  I had it mounted on a fixture estimated
at 83pH
        but the inductance associated with the capacitor itself was
about 1 nH.
        There were perhaps a half a dozen dips and peaks beyond series
           =20

resonance
 =20

        associated with the transmission line properties of the
capacitor.
        =20
        David Hockanson and I did a couple of papers on this at 2002 and
2003
        ECTC conference and another one at 2005 Design Con.  You can
actually
        use the transmission line properties of a capacitor to develop a
ladder
        SPICE model and extract the element values.  The model
accurately
        predicts the reduction of inductance and the increase in ESR of
a
        capacitor mounted on low inductance pads.  This is important to
           =20

simulate
 =20

        the parallel resonance that may occur between two capacitors or
between
        a capacitor and power planes.  Ceramic capacitors have a lot
more ESR
        and less ESL than might be expected from a simple RLC model
beyond
        series resonance.
        =20
        Mounting capacitors with the plates perpendicular to the PCB
planes
        (rather than parallel) eliminates or at least greatly changes
this
        mechanism.  As Istvan mentioned, the resonances are very much
reduced.
        I believe that there is still an increase in ESR and a reduction
of ESL
        beyond series resonance as the current does not want to get very
far
        away from the PCB power planes (big inductive loop).  Once
again, you
        would have to mount the capacitors on very low inductance mounts
in
        order to see this.
        =20
        Regards,
        Larry Smith
        Altera Corporation
        =20
        =20
        -----Original Message-----
        From: si-list-bounce@xxxxxxxxxxxxx
           =20

[mailto:si-list-bounce@xxxxxxxxxxxxx]
 =20

        On Behalf Of steve weir
        Sent: Monday, May 22, 2006 11:27 PM
        To: Hill, John; Mark.Randol@xxxxxxxxxx; si-list
        Subject: [SI-LIST] Re: Capacitors arrays. worth it or not?
        =20
        John, you've got it.  The vertical orientation makes for N very
small
        cavities all acting in parallell.  Hence, the secondary
resonance
        occurs at a much higher frequency.
        =20
        Regards,
        =20
        =20
        Steve.
        At 01:50 PM 5/22/2006, Hill, John wrote:
           =20

                Steve,
                =20
                I'm sorry to be a little thick on this issue, but I may
be getting
                     =20

the
 =20

                two orientations confused. If I understand you
correctly, the
                     =20

following
 =20

                is true:
                =20
                It is Edie currents that keep the current concentrated
in the lower
                plates of a capacitor when the capacitor is mounted
horizontally,
                     =20

which
 =20

                we are defining as having the plates parallel to the
board. This
                     =20

        creates
           =20

                a resonate cavity under the part.
                =20
                When the capacitor is mounted with the plates
perpendicular to the
                     =20

        board
           =20

                the current flows through all the plates.
                =20
                Is this correct?
                =20
                John
                =20
                =20
                =20
                =20
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                -----Original Message-----
                =20
                From: steve weir [mailto:weirsi@xxxxxxxxxx]
                Sent: Monday, May 22, 2006 2:41 PM
                To: Hill, John; Mark.Randol@xxxxxxxxxx; si-list
                Subject: Re: [SI-LIST] Re: Capacitors arrays. worth it
or not?
                =20
                John, when the plates of a cap are parallel to the
planes, eddy
                currents block field penetration to the upper plates
through the
                cavity.  The field still goes around the terminal
metalization.  This
                makes a resonant cavity.
                =20
                Steve.
                At 10:50 AM 5/22/2006, Hill, John wrote:
                     =20

                        Mark,=3D3D20
                        =20
                        We have uploaded an application note from
American Technical
                               =20

Ceramics
 =20

                        concerning placing capacitors vertical and
horizontal. The URL is:
                        =20
=09
http://si-list.org/files/tech_files/ATC%20select_cap_wireless.pdf
                        =20
                        I have also sent an e-mail to the application
engineer about the
                               =20

        issue
           =20

                        of eddy currents limiting the field. The data in
the application
                               =20

note
 =20

                        does not look like it supports the idea and I do
not understand the
                        physics.=3D3D20
                        =20
                        John
                        =20
                        =20
                        =3D3D20
                        =20
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                        ---------------------------------------
                        -----Original Message-----
                        =20
                        From: si-list-bounce@xxxxxxxxxxxxx
                               =20

                [mailto:si-list-bounce@xxxxxxxxxxxxx]
                     =20

                        On Behalf Of Mark Randol
                        Sent: Monday, May 22, 2006 10:33 AM
                        To: si-list
                        Subject: [SI-LIST] Re: Capacitors arrays. worth
it or not?
                        =20
                               =20

                                -----Original Message-----
                                From:
si-list-bounce@xxxxxxxxxxxxx=3D3D3D20
                                [mailto:si-list-bounce@xxxxxxxxxxxxx] On
Behalf Of Jerry
                                         =20

Martinson
 =20

                                =3D3D3D20
                                I've always wondered how discrete cap
performance is
                                         =20

affected=3D3D3D20
 =20

                                if the caps plates are parallel with the
underlying plane
                                         =20

or=3D3D3D20
 =20

                                if they are perpendicular.  I'd think
that having them
                                         =20

rolled=3D3D3D20
 =20

                                90 degrees
                                (perpendicular) might make them perform
better in some=3D3D3D20
                                regions.  I wonder how this would extend
to arrays and=3D3D3D20
                                whether arrays are configured rolled or
not.  Does anyone=3D3D3D20
                                know? =3D3D3D20
                                         =20

                        American Technical Ceramics (ATC) used to
recommend 'vertical'
                               =20

                placement
                     =20

                        of their porcelain caps for just this reason.
I've seen it make
                               =20

                several
                     =20

                        100MHz's of difference in the measured resonance
frequency.  That
                               =20

was
 =20

                on
                     =20

                        a relatively thick 2 layer PCB, so on a board
with a thinner
                               =20

        component
           =20

                        to ground layer spacing this could be more
significant <guess>.  I
                        didn't find it on their web site, but here is
their link.
                        =20
                        http://www.atceramics.com/
                        =20
                        Now how much of this was due to plate coupling
to the substrate, or
                        reduced effective capacitance and inductance
because of current
                               =20

                crowding
                     =20

                        towards the new 'bottom' of all the plates,
beats me.  It seems to
                               =20

me
 =20

                in
                     =20

                        the horizontal orientation, the upper plates
would have slightly
                               =20

more
 =20

                        inductance due to the greater loop area.  Which
effect dominates,
                        capacitance or inductance? =3D3D3D20
                        =20
                        The problem at the time was fixed, so we didn't
investigate
                               =20

further.
 =20

                        --
                        Mark Randol, RF Evaluation & Application
Engineer
                        Not speaking for my company, etc
=09
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