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  Hints
    for
Successful
  Impedance
  Measurements
                     Application Note 346-4




 How to evaluate electronic devices used in circuits
 in order to achieve design performance.

           1
                              Impedance Measurements for Engineers




                              Impedance is measured using a         broadest frequency range (5Hz to
                              variety of techniques. The            110GHz). This technique delivers
                              advantages of each technique          exceptional accuracy near 50 or
                              depend on test frequency, the         75, depending on the system.
                              impedance to be measured, as well
                              as preferred display parameters.      LCR Meters and Impedance
                                                                    Analyzers are differentiated
                              The Auto Balancing Bridge             primarily by display properties.
                              technique is exceptionally            An LCR Meter displays numeric
                              accurate over a broad impedance       data, while an Impedance Analyzer
                              range (m to the order of 100M).       can display data in either numeric
                              The frequency range this              or graphic format. The techniques
                              technique can be applied to is from   employed by these instrument
                              a few Hz to 110MHz.                   types are independent of analyzer
                                                                    type, and can be RF-IV, IV or Auto
                              The IV and RF-IV techniques are       Balancing Bridge (depending on
                              also very accurate over a broad       frequency).
                              impedance range (m to M). The
                              frequency range this technique can    Engineers perform impedance
                              be applied to is from 40Hz to         measurements for a variety of
                              1.8GHz.                               reasons. In a typical application,
                                                                    an electronic device used in a
                              The Transmission/Reflection           designed circuit is characterized.
                              technique is applied over the         Normally, a manufacturer states
                                                                    only the nominal value of the
                                                                    electronic device.

                                                                    Engineering concerns as well as
                                                                    production, procurement and
                                                                    distribution decisions are based on
                                                                    the quality of measurements. The
                                                                    value of every electronic
                                                                    component is determined by its
                                                                    performance and/or stated values.
                                                                    This performance determines the
                                                                    quality of assembled products.

                                                                    This guide provides useful
                                                                    information when using the Auto
                                                                    Balancing Bridge, IV or RF-IV
                                                                    techniques.

                                                                    '8 Hints for making Better
                                                                    Network Analyzer Measurements'
                                                                    is available as a guide to the
Figure 0-1 Accuracy Profile                                         Transmission/Reflection
                                                                    technique.




                                                                2
Impedance Parameters




Impedance is a parameter used to       The Quality Factor (Q) and the
evaluate the characteristics of        Dissipation Factor (D) are also
electronic devices. Impedance (Z)      derived from resistance and
is defined as the total opposition a   reactance. These parameters
device offers to the flow of an        serve as measures of reactance
alternating current (AC) at a given    purity. When Q is larger or D is
frequency.                             smaller, the quality is better. Q is
                                       defined as the ratio of the energy
Impedance is represented as a          stored in a component to the
complex, vector quantity. A polar      energy dissipated by the
coordinate system is used to map       component. D is sometimes called
the vector, where quadrants one        "tan", since it is the tangent of the
and two correspond respectively to     complimentary angle () to the
passive inductance and passive         phase angle (). Both D and Q are
capacitance. Quadrants three and       dimensionless quantities.
four correspond to negative
resistance. The impedance vector       Figure 1-2 describes the
consists of a real part, resistance    relationship between impedance
(R), and an imaginary part,            and these derived parameters.
reactance (X).

Figure 1-1 shows the impedance
vector mapped in quadrant one of
the polar coordinate system.

Capacitance (C) and inductance
(L) are derived from resistance (R)
and reactance (X). The two forms
of reactance are inductive (XL) and
capacitive (XC).




Figure 1-1 Impedance Vector                                 Figure 1-2 Capacitor and Inductor Parameters




                                                                           3
                                             Measurements Depend on Test Conditions




                                             Stated values represent the             The AC Voltage across the device
                                             performance of a component under        can be derived from the device
                                             specific test conditions, as well as    impedance, the source resistance,
                                             the tolerance permitted during          and the signal source output
                                             manufacture. When circuit               (Figure 2-3).
                                             performance requires more
                                             accurate characterization of a          An automatic level control (ALC)
                                             component, it is necessary to           function maintains a constant
                                             verify stated values, or to evaluate    voltage across the DUT. It is
                                             device performance at operating         possible to write an ALC program
                                             conditions (usually different than      for instruments that have a level
                                             manufacturers test conditions).         monitor function, but not a built-in
                                                                                     ALC.
                                             Frequency dependency is common
                                             to all real-world components            Control of measurement
                                             because of the existence of             integration time allows reduction
                                             parasitics.                             of unwanted signals. The
                                                                                     averaging function is used to
                                             Figure 2-1 describes ideal and          reduce the effects of random noise.
                                             parasitic frequency characteristics     Increasing the integration time or
                                             of a real-world capacitor.              averaging allows improved
                                                                                     precision, but with slower
                                             Signal level (AC) dependency is         measurement speed.
                                             exhibited in the following ways
                                             (Figure 2-2):                           Detailed explanations of these test
Figure 2-1. Frequency Characteristics of a   - Capacitance is dependent on           parameters can be found in the
Capacitor
                                                AC voltage level (dielectric         instrument operating manuals.
                                                constant (K) of the substrate).
                                             - Inductance is dependent on AC         Other physical and electrical
                                                current level (electromagnetic       factors that effect measurement
                                                hysteresis of the core material).    results include DC Bias,
                                                                                     temperature, humidity, magnetic
                                                                                     fields, light, atmosphere, vibration,
                                                                                     and time.




Figure 2-2. Signal Level Dependency                               Figure 2-3. Applied Signal & Constant Level Mechanism




                                                                                 4
  Choose Appropriate Instrument Display Parameter




  Many modern impedance                 All circuit components are neither
  measuring instruments measure         purely resistive nor purely
  the real and the imaginary parts of   reactive. A real-world component
  an impedance vector and then          contains many parasitic elements.
  convert them into the desired         With the combination of a
  parameters.                           component's primary and parasitic
                                        elements, a component performs
  When a measurement is displayed       like a complex circuit.
  as impedance (Z) and phase (),
  the primary element (R, C, or L) as   Recent, advanced impedance
  well as any parasitics are all        analyzers have an Equivalent
  represented in the |Z| and  data.     Circuit Analysis Function that
                                        allows analysis of the
   When parameters other than           measurement result in the form of
  impedance and phase angle are         three or four element circuit
  displayed, a two element              models (Figure 3-2). Use of this
  representation of the measured        function enables a more complete
  data is used. These two element       characterization of a component's
  models are based on a series or       complex residual elements.
  parallel circuit mode (Figure 3-1),
  and are distinguished by the
  subscript p for parallel or s for
  series (Rp, Rs, Cp, Cs, Lp, or Ls).




Figure 3-1. Measurement Circuit Mode                        Figure 3-2 Equivalent Circuit Analysis Function




                                                                            5
                                           A Measurement Technique has Limitations




                                           What's the number one question          Instrument accuracy
                                           from engineering and production?        specifications for D or Q
                                                                                   measurements are usually
                                           How accurate is the data?               different than specifications for
                                                                                   other impedance terms.
                                           Instrument accuracy is different
                                           for different impedance values.         In the case of a low loss device (low
                                           Instrument accuracy is also             D/High Q device), the R-value is
                                           different for different measurement     very small relative to the X-value.
                                           technologies (reference Figure 0-1).    Small changes in R result in large Q-
                                                                                   value changes (Figure 4-2).
                                           To know the accuracy of a
                                           measurement, compare the                The measurement error is on the
                                           measured impedance value of the         order of the measured R-value.
                                           DUT to the instrument accuracy for      This can result in negative D or Q
                                           the applicable test conditions.         values.

                                           Figure 4-1 shows that a 1 nF            Be aware that measurement error
                                           capacitor, measured at 1MHz             includes error introduced by the
                                           exhibits an impedance of 159.           instrument as well as by the test
                                                                                   fixture.




Figure 4-1 Capacitor's Impedance and Test Frequency             Figure 4-2. Concept of the Q error




                                                                              6
Perform Necessary Calibration




Calibration is performed in order      Some instruments offer the choice
to define a reference plane where      of Fixed-mode or User-mode
the measurement accuracy is            calibration. Fixed-mode
specified. Normally, calibration is    calibration measures calibration
performed at the instrument's test     standards at predetermined (fixed)
port. Corrections to raw data are      frequencies. Calibration data for
based on calibration data.             frequencies between the fixed,
                                       calibrated points are interpolated.
A baseline calibration is
performed at service centers for       Fixed-mode calibration sometimes
Auto Balancing Bridge instruments      results in interpolation errors at
such that the specified accuracy       those frequencies between the
can be realized for a period of time   fixed, calibrated points. At higher
(usually twelve months)                frequencies these errors can be
regardless of the instrument           substantial.
settings. With these instruments,
operators do not require               User-mode calibration measures
calibration standards.                 calibration standards at the same
                                       frequency points the user has
Baseline calibration for non- Auto     selected for a particular
Balancing Bridge instruments           measurement. There can be no
requires that a set of calibration     interpolation errors associated
standards be used after instrument     with User-mode calibration.
initialization and setup. This hint
provides information that may be       It is very important to recognize
helpful when using calibration         that the operator-established
standards to establish calibration     calibration is valid only for the test
for these instruments.                 conditions (instrument state) under
                                       which calibration is performed.




Figure 5-1. Calibration Plane




                                                                           7
                                     Perform Necessary Compensation




                                     Compensation is not the same as         It is important to verify that error
                                     calibration. The effectiveness of       compensation works properly. In
                                     compensation depends on the             general, the impedance value for
                                     instrument calibration accuracy,        an Open condition should be
                                     therefore compensation must be          greater than 100 times the
                                     performed after calibration has         impedance of the DUT. In general,
                                     been completed.                         the impedance value for a Short
                                                                             condition should be less than 1/100
                                     When a device is directly               the impedance of the DUT.
                                     connected to the calibration plane,
                                     the instrument can measure within       Open compensation reduces or
                                     a specified measurement                 eliminates stray capacitance,
                                     accuracy. Since a test fixture or       while short compensation reduces
                                     adapter is usually connected            or eliminates unwanted resistance
                                     between the calibration plane and       and inductance of fixturing.
                                     the device, the residual impedance
                                     of the interface must be                When an Open or a Short
                                     compensated for in order to             measurement is performed, keep
                                     perform accurate measurements.          the distance between the
                                                                             UNKNOWN terminals the same as
                                     Additional measurement error            when the DUT is contacted. This
                                     introduced by a test fixture or         keeps parasitic impedance the
                                     adapter can be substantial. The         same as when measurements are
                                     total measurement accuracy              performed.
                                     consists of the instrument
                                     accuracy as well as error sources       Perform Load compensation when
                                     that exist between the device           the measurement port is extended
                                     under test (DUT) and the                a non-standard distance, the
                                     calibration plane.                      configuration uses additional
                                                                             passive circuits/components (e.g.
                                                                             balun, attenuator, or filter), or
                                                                             when a scanner is used. The
                                                                             impedance value of the Load must
                                                                             be accurately known. A Load
                                                                             should be selected that is similar
                                                                             in impedance (at all test
                                                                             conditions) and form-factor to the
                                                                             DUT. Use a stable resistor or
                                                                             capacitor as the LOAD device.

                                                                             It is practical to measure a Load
                                                                             using Open/Short compensation
                                                                             and a non-extended fixture in
                                                                             order to determine the Load
                                                                             impedance. The values measured
                                                                             can then be input as compensation
                                                                             standard values.




Figure 6-1 OPEN/SHORT Compensation


                                                                         8
Understanding Phase Shift and Port Extension Effects




Cable Length correction, port           When working in the RF region,
extension, or electrical delay is       calibration should be performed at
used to extend or rotate the            the end of an extension cable. If
calibration plane to the end of a       calibration standards cannot be
cable or the surface of a fixture.      inserted, port extension can be
This correction reduces or              used in this region for short and
eliminates phase shift error in the     well-characterized distances.
measurement circuit.
                                        An Auto Balancing Bridge and
When the measurement port is            using non-standard cables or
extended away from the                  extensions, Open/Short/Load
calibration plane, the electrical       compensation should be performed
characteristics of the cable effect     at the terminus of an extension or
the total measurement                   fixture. HP Auto Balancing Bridge
performance.                            products use cable length
                                        compensation for standardized test
To reduce these effects:                cables (1, 2, or 4 meters). At the
- Make measurement cables as            terminus of the standardized
  short as possible.                    extension cable, the shields should
- Use well-shielded, coaxial            normally be connected together.
  cables to prevent influence from
  external noise.                       Port Extension in any form has
- Use low-loss coaxial cables to        limitations. Since any extension
  keep from degrading accuracy,         will contribute to losses in the
  since the port extension method       measurement circuit and/or phase
  assumes lossless cable.               error, it is imperative that the
                                        limitations of the measurement
A phase shift induced error occurs      technique be fully understood prior
due to the test fixture, which can      to configuring an extension.
not be reduced using OPEN/
SHORT compensation.




Figure 7-1 Measurement Port Extension




                                                                         9
Fixture and Connector Care




High quality electrical connections        Technique:
insure the capability to make              The use of a torque wrench and
precise measurements. At every             common sense insures that
connection, the characteristics of         damage does not occur when
the mating surfaces vary with the          making repeated connections.
quality of connection. An                  Damage includes scratching and
impedance mismatch at mating               deformation of the mating
surfaces will influence                    surfaces.
propagation of the test signal.
                                           Maintenance:
Attention should be paid to the            Many mating surfaces are
mating surfaces at test ports,             designed to allow for the
adapters, calibration standards,           replacement of parts that degrade
fixture connectors, as well as test        with use. If a mating surface
fixture surfaces.                          cannot be repaired, regularly
                                           scheduled replacement is advised.
The quality of connections depend
on the following                           Cleanliness:
- composition                              The use of non-corrosive/
- technique                                destructive solvents [de-ionized
- maintenance                              water, pure isopropyl alcohol
- cleanliness                              (IPA)] and lint-free wipes insures
- storage                                  that the impedance at mating
                                           surfaces is not influenced by
Composition:                               residual oils or other impurities.
It has been said that a chain is as        Note that some plastics are
strong as the weakest link. The            denatured with the use of IPA.
same is true for a measurement
system. If low-quality cables,             Storage:
adapters or fixtures are used in a         If a case is not provided with an
test circuit, the quality of the           accessory, plastic caps should be
system is reduced to the lowest            used to cover and protect all
quality interface.                         mating surfaces when not in use.




                                      10
HP Impedance Product Lineup




The HP impedance product lineup      marker function and programming        Combinations analyzer series
offers the widest selection of       function that ease evaluation of
equipment for your application.      measurement results. The features      The HP combination analyzer
Major impedance measuring            provided within this series enable     series provides three capabilities
instruments are introduced as        characteristic evaluations at Lab/     (network measurement, spectrum
follows. For more information,       R&D sections, as well as reliability   measurement, and impedance
refer to "LCR meters, Impedance      evaluations (temperature               measurement) in one box. These
analyzers, and Test Fixtures         characteristic evaluation, etc.) for   instruments deliver broad
Selection Guide" (P/N 5952-          QA purposes.                           functionality to engineers (from
1430E), "RF Economy Network                                                 circuit design to device
Analyzer " (P/N 5967-6316E) etc.                                            evaluation). Graphical displays
                                                                            are provided, which enable
LCR meter series                                                            analysis of device characteristics
                                                                            for not only impedance, but also
The HP LCR meter series provides                                            network and spectrum
the capability to easily and                                                measurements.
accurately evaluate components
such as, capacitors, inductors,
transformers and
electromechanical devices. The
ability to apply specific
measurement conditions (test         Network analyzer series
frequency, signal level, etc.) is
important in the R&D, production     The HP network analyzer series
test and QA environments.            allows impedance measurements
                                     in higher frequencies like RF and
                                     MW. The measuring technique, the
                                     transmission/reflection technique,
                                     can go to a much higher frequency
                                     than is available with other
                                     techniques. This series also
                                     provides various sophisticated
                                     functions, such as a graphical
                                     display, marker function, and
                                     programming function that ease
                                     evaluation of measurement results.
                                     The features provided within this
                                     series enable evaluations in Lab/
Impedance analyzer series            R&D as well as QA departments.

The HP impedance analyzer series
delivers the capability to observe
characteristic changes in device
performance as result from
changes in specific measurement
conditions. The characteristic
changes in device performance
can be displayed in a graphical
format on the instrument display.
This series provides various
sophisticated functions, such as a




                                                                       11
For more information about Hewlett-
Packard test & measurement products,
applications, services, and for a current
sales office listing, visit our web site,
 http://www.hp.com/go/tmdir. You can
also contact one of the following
centers and ask for a test and
measurement sales representative.

United States:
Hewlett-Packard Company
Test and Measurement Call Center
P.O. Box 4026
Englewood, CO 80155-4026
1 800 452 4844

Canada:
Hewlett-Packard Canada Ltd.
5150 Spectrum Way
Mississauga, Ontario
L4W 5G1
(905) 206 4725

Europe:
Hewlett-Packard
European Marketing Centre
P.O. Box 999
1180 AZ Amstelveen
The Netherlands
(31 20) 547 9900

Japan:
Hewlett-Packard Japan Ltd.
Measurement Assistance Center
9-1, Takakura-Cho, Hachioji-Shi,
Tokyo 192, Japan
Tel: (81) 426 56 7832
Fax:(81) 426 56 7840

Latin America:
Hewlett-Packard
Latin American Region Headquarters
5200 Blue Lagoon Drive
9th Floor
Miami, Florida 33126
U.S.A.
Tel: (305) 267-4245
     (305) 267-4220
Fax:(305) 267-4288

Australia/New Zealand:
Hewlett-Packard Australia Ltd.
31-41 Joseph Street
Blackburn, Victoria 3130
Australia
Tel: 1 800 629 485 (Australia)
     0800 738 378 (New Zealand)
Fax:(61 3) 9210 5489

Asia Pacific:
Hewlett-Packard Asia Pacific Ltd.
17-21/F Shell Tower, Times Square,
1 Matheson Street, Causeway Bay,
Hong Kong
Tel: (852) 2599 7777
Fax:(852) 2506 9285


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