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Method of equivalent circuit used on HP 4284A LCR meter


Dr. David Kirkby from Kirkby Microwave Ltd
 

There has been some discussion about the best way to represent data
measured as impedance, into an equivalent circuit. The most comprehensive
of these I have seen, which my company owns, is my obsolte HP 4284A
precision LCR meter.



which is *not* a VNA, but measures the impedance of a device using a 4-wire
Kelvin measurement. This means everything shown here could conceivably be
displayed.

Someone *might* want to implement all or a subset of these. *I'm not
suggesting they are all implemented - I am just listing them for possible
discussion. *I suspect my HP 4285A LCR meter (75 kHz to 30 MHz) does the
same, but I have not checked.

*HP 4284A 1 MHz LCR meter. *
Cp-D - a parallel capacitance Cp, with a dissipation fact D
Cp-Q - a parallel capacitance Cp, with a Q of Q
Cp-G - a parallel capacitance Cp, with a conductance G
Cp-B - a parallel capacitance Cp, with a susceptance B
Cp-Rp - a parallel combination of a capacitance Cp, and resistance Rp
Cs-D - a series capacitance Cs, with dissipation factor Q
Cs-Q - a series capacitance Cs, with a Q of Q
Cs-Rs - a series combination of capacitance Cs and resistance Rs
Lp-D - a parallel inductor, with a dissipation factor D
Lp-Q - a parallel inductor, with a Q of Q
Lp-G - a parallel inductor, with a conductance of G measured in siemens
Lp-Rp - a parallel combination of an inductance Lp and resistance Rp.
Ls-Q - a series inductor Ls, with a Q of Q
Ls-Rs - a series inductor Ls with resistance Rs

*R - X - I don't need to explain what that is. *
Z-theta (degrees) - The magnitude and phase of an impedance expressed in
degrees.
Z-theta (rad) - The magnitude and phase of an impedance expressed in
radians.
G-B - G is the conductance measured in siemens (admittance Y = G + j B)
Y-theta (degrees) the magnitude of the admittance Y, and phase angle
expressed in degrees
Y-theta (rad) the magnitude of the admittance Y, and phase angle expressed
in radians

--
Dr David Kirkby Ph.D C.Eng MIET
Kirkby Microwave Ltd
Registered office: Stokes Hall Lodge, Burnham Rd, Althorne, CHELMSFORD,
Essex, CM3 6DT, United Kingdom.
Registered in England and Wales as company number 08914892

Tel 01621-680100 / +44 1621-680100


 

Hi David,
thanks for the list! That's a lot of ways to display the same couple of
numbers ;-) But I'm sure all very useful. I'll keep it around for
future reference :-)

--
Rune

On Fri, 4 Oct 2019 at 17:14, Dr. David Kirkby from Kirkby Microwave Ltd <
drkirkby@...> wrote:

There has been some discussion about the best way to represent data
measured as impedance, into an equivalent circuit. The most comprehensive
of these I have seen, which my company owns, is my obsolte HP 4284A
precision LCR meter.




which is *not* a VNA, but measures the impedance of a device using a 4-wire
Kelvin measurement. This means everything shown here could conceivably be
displayed.

Someone *might* want to implement all or a subset of these. *I'm not
suggesting they are all implemented - I am just listing them for possible
discussion. *I suspect my HP 4285A LCR meter (75 kHz to 30 MHz) does the
same, but I have not checked.

*HP 4284A 1 MHz LCR meter. *
Cp-D - a parallel capacitance Cp, with a dissipation fact D
Cp-Q - a parallel capacitance Cp, with a Q of Q
Cp-G - a parallel capacitance Cp, with a conductance G
Cp-B - a parallel capacitance Cp, with a susceptance B
Cp-Rp - a parallel combination of a capacitance Cp, and resistance Rp
Cs-D - a series capacitance Cs, with dissipation factor Q
Cs-Q - a series capacitance Cs, with a Q of Q
Cs-Rs - a series combination of capacitance Cs and resistance Rs
Lp-D - a parallel inductor, with a dissipation factor D
Lp-Q - a parallel inductor, with a Q of Q
Lp-G - a parallel inductor, with a conductance of G measured in siemens
Lp-Rp - a parallel combination of an inductance Lp and resistance Rp.
Ls-Q - a series inductor Ls, with a Q of Q
Ls-Rs - a series inductor Ls with resistance Rs

*R - X - I don't need to explain what that is. *
Z-theta (degrees) - The magnitude and phase of an impedance expressed in
degrees.
Z-theta (rad) - The magnitude and phase of an impedance expressed in
radians.
G-B - G is the conductance measured in siemens (admittance Y = G + j B)
Y-theta (degrees) the magnitude of the admittance Y, and phase angle
expressed in degrees
Y-theta (rad) the magnitude of the admittance Y, and phase angle expressed
in radians

--
Dr David Kirkby Ph.D C.Eng MIET
Kirkby Microwave Ltd
Registered office: Stokes Hall Lodge, Burnham Rd, Althorne, CHELMSFORD,
Essex, CM3 6DT, United Kingdom.
Registered in England and Wales as company number 08914892

Tel 01621-680100 / +44 1621-680100