Position Sensing Angle and Distance Measurement for Engineers Dr Ing Hans Walcher Translated by David Kerr, BA and M.J. Shields, FllnfScMITI Î - l U T T E R W O R TH E I N E M A N N Butterworth-Heinemann Ltd Linacre House, Jordan Hill, Oxford OX2 8DP C5<^ A member of the Reed Elsevier group OXFORD LONDON BOSTON MUNICH NEW DELHI SINGAPORE SYDNEY TOKYO TORONTO WELLINGTON First published by VDI Verlag 1985 First published in Great Britain by Butterworth-Heinemann Ltd 1994 © VDI-Verlag, 1985, 1994 All rights reserved. No part of this publication may be reproduced in any material form (including photocopying or storing in any medium by electronic means and whether or not transiently or incidentally to some other use of this publication) without the written permission of the copyright holder except in accordance with the provisions of the Copyright, Designs and Patents Act 1988 or under the terms o fa licence issued by the Copyright Licensing Agency Ltd, 90 Tottenham Court Road, London, England W1P 9HE. Applications for the copyright holder's written permission to reproduce any part of this publication should be addressed to the publishers British Library Cataloguing in Publication Data Walcher, Hans Position Sensing: Angle and Distance Measurement for Engineers. - 2 Rev.ed I. Title II. Kerr, David III. Shields, Michael J. 620.0044 ISBN 07506 1157 X Library of Congress Cataloguing in Publication Data Walcher, Hans. [Digitale Lagemesstechnic. English] Position sensing: angle and distance measurement for engineers/ Hans Walcher; translated by David Kerr and M.J. Shields. p. cm. Includes bibliographical references and index. ISBN 0 7506 1157 X 1. Electric measurements. 2. Physical measurements. 3. Digital electronics. 4. Angle-Measurement. 5. Distances-Measurement. I. Title. TK277.W3213 93-41284 681'.2-dc20 CIP Typeset by Create Publishing Ltd, Bath, Avon. Printed in Great Britain by Redwood Books, Trowbridge, Wiltshire Preface The electrical measurement of angles and distances is an interesting interdisciplinary field as widely differing physical principles can be used to produce the measurement base and its reading and to evalu- ate and process the signals obtained. This volume is intended both for the mechanical engineer, who has to include measurement processes as an integral part of his design, and the measurement and control technician who, in widely differing engineering tasks, may be confronted with the problem of position sensing, often in relation to positioning control. In many cases their interest will be limited to the electrical interface, the method and the security of data transfer and storage. When the first edition of this book was published in 1974 under the title Digitale Lagemesstechnik, the electrical measurement of angles and distances in engineering was severely restricted to lathes and milling machines with numerical control systems. The users of these numerically-controlled machines were mainly large companies, for example in the aircraft and motor industries, who were able to pur- chase and operate this costly and by no means always reliable technology. The measurement systems used, which in most cases con- sisted of analogue transducers backed by analogue-to-digital converters, were of interest only to a small band of specialists. Since then, the digital display of position data and the digital con- trol that comes with it have been commonplace even in small and medium-sized businesses. A decisive part in this process was played by the microprocessor and the development of increasingly efficient and, more importantly, cheaper controllers. The widespread availability of lower-priced controllers has meant that measurement x Preface processes have also become available to a widening range of manu- facturers and users. Today there is hardly a branch of engineering in which automatic measurement and control does not take place. Examples of this are machines for woodworking, metalworking and processing plastics, printing machines, packing machines, food pro- cessing machines, etc. In addition, high-precision automatic position- sensing systems are being used to sense and control the position of radio telescopes, astronomical telescopes and radar antennae, to con- trol integral switching in production systems, and in automatic measuring and testing machines. In all branches of technology where controlled movement takes place, position sensing is at the forefront. Further examples are the navigation of ships, vehicles and aircraft, and the control of conveyor and storage systems. In the second edition which was completely revised and greatly enlarged in 1985 under the title Winkel- und Wegmessung im Mas- chinenbau, not only was consideration given to the technical evolution which had taken place in the meantime, but analogue elec- trical systems such as potentiometers, inductive and capacitive transducers and mechanical measurement processes were also in- cluded. In addition, newer mechanical position measuring systems have clearly justified their existence with a good cost/benefit ratio and are widely used. In the years between 1985 and 1992 the requirements for resolution and accuracy in distance measurement processes have continued to become more stringent. Optically scanned scales with phase gratings are described as a typical example. Moreover, there has been a re- naissance in resolver technology, the advantages of which have been recognised when used at higher operating temperatures. A subject increasingly under discussion in technical circles is what is known as intelligent sensors, to which a chapter has been devoted. All measurement processes are usually described in terms of the basic principles applied. Switching details are only described where they are necessary to acquire an understanding of the function. The German edition of my book, which to my knowledge is the only comprehensive treatment of this interesting and important area of measurement engineering, was published by VDI Verlag. I am de- lighted that the publishers Butterworth-Heinemann are now making the book accessible to a much wider readership by bringing out an English-language addition. At this point I would like to thank all the companies who have assisted me in the preparation of this volume by providing photo- graphic material. I would especially like to mention Erwin Halstrup Preface xi Multur GmbH without whom this new edition would not have been published. I also thank my secretary Frau Rose Riedl in equal measure for her assistance. My special thanks are due to my wife for her patience with this time-consuming hobby. Hans Walcher Kirchzarten February 1992 1 Introduction The measurement of angle and distance is a basic requirement in all instruments, machines and installations in which position has to be monitored or adjusted. There are still many machines which use simple analogue measuring systems. In the past, these usually consis- ted of a scale and a mark or index which moved relative to it; the scale could be in the form of a ruler, a disc or a drum. As it is only a matter of the relative movement between the scale and mark, the scale can be fixed and the index movable or the scale movable and the index fixed. Recently, however, analogue mechanical indicators have increasingly been replaced by digital mechanical counters which give more reliable readout and more accurate measurement. Because of the mechanics involved, these positional indications are limited to medium and low-speed applications, i.e. mostly on manually- operated machine arbors, which in the course of automation are in- creasingly being replaced by motorized and numerically-controlled arbors. Spindles for adjusting limit stops, supports, tools, etc., which are set up before actual production begins (setting procedure) are an exception. Digital mechanical position indicators are very often used for cost reasons. High resolutions and high accuracies can be achieved at high adjustment speeds using electronic devices, but electronics have their price. With increasing demands for accuracy, there was a consequent in- crease in demand for security and productivity in measurement processes. A good example of the continuous progress towards in- creased accuracies, greater reliability and higher operating speeds in length and angle measuring systems is provided by numerically- 2 Position Sensing controlled machine tools. Up to about 1970, a resolution of 0.01mm was considered adequate, whereas a resolution of 0.001mm has been standard since 1980. Today digital length comparators work to resol- utions of 0.001mm and laser interferometers discriminate up to 0.00001mm. Measuring systems with a resolution of 0.02//m are required and are available to produce highly integrated semiconductor memories (work is currently being done as a result of the development of 64Mbit memories). When we talk about increasing power in measur- ement processes, what we mean essentially is resolution, accuracy, speed of measurement and, last but not least, reliability. Another development made possible in the last few years by the micro- processor is intelligent sensors, in which data processing can take place in the sensor, and which are capable of communicating with a central control via a databus. This volume is an attempt to bring together all the main principles of measurement in current use and to provide a simple comparison of their characteristics. Moreover, there are numerous processes which had disappeared from current use for any one of a number of reas- ons, but which have nevertheless been described in some detail because of their technology which is interesting in itself. Nowadays electro-optical processes, in which a measurement base in the form of an incremental grid or code is scanned photoelec- tronically, are dominant. For a long time there were two different schools of thought, one in favour of the incremental method of meas- uring and the other in favour of the absolute method of measuring. This was essentially due to the fact that the reliability of incremental systems was dubious, which in turn was due to the difficulty of detec- ting false counts caused by interference with or absence of pulses. Today this dispute has been settled. As incremental measurement processes, due to their now proven reliability and, more especially, their cost advantages, are used more frequently today than absolute systems, they are treated in the same depth. The ease with which trends in engineering can be reversed is shown by the fact that absolute systems are being used again, not principally for reasons of reliability, but because it is not necessary to set up a datum point even after a shut-down or power failure, and in this way time is saved. It is still mandatory to select an absolute distance or angle measuring instrument if manual adjustments could be made on a machine when idle which could lead to a dangerous situation when it was switched on again. Introduction 3 Analogue length and angle measuring instruments, such as resolvers and inductosyns, can fully match digital instruments in terms of resolution and accuracy. The output signals of these ana- logue instruments can be very accurately digitized and converted to a suitable display for electronic data processing. As this means they are no longer any different from purely digital positional instruments as far as data transfer and data processing are concerned, all systems with analogue instruments which are fitted with typical analogue-to- digital converters are included under the general heading of digital position-measuring processes. The advantages of digital measure- ment apply in the same way to these hybrid systems. The accuracy of a measurement depends solely on the accuracy of the measurement process and not the accuracy of the transfer or readout. This means that remote measurement, measurement in inac- cessible locations, central indication and automatic recording are possible without loss of accuracy. Besides the characteristics of the measurement processes themselves, the various metrological methods are shown in conjunction with mechanical connecting links, as false conclusions could be drawn from the results of a measurement if the type of connection is not known. Irrespective of the physical principal of the measurement base used and the relative sampling method, certain processes for signal analysis have developed which are used in many, often very different, measuring instruments. For this reason, the description of these pro- cesses is interesting apart from the specific application. For example, these include all processes in which two signals are produced which follow the sine or the cosine of the quantity to be measured. Examples are high-resolution incremental photoelectric distance measurement processes, inductive instruments such as resolvers or inductosyns and various capacitive or magnetic processes. The pos- itional information is then contained either in the ratio of two amplitude values or in the difference between two phase angles. In both cases very high resolutions can be obtained provided the signals are to a large extent free of harmonic waves. A basic principle equally widespread throughout very different applications is that of distance measurement by means of measuring pulse timing. Both the ultrasonic method and the radar distance measurement process, as well as certain processes in laser distance measuring, must be mentioned here. Another important group con- sists of the interferometers which can be used for both distance and angle measurement (laser and fibre-optic gyros). The use of a specific principle of measurement for a specific 4 Position Sensing application depends not only on the accuracy and resolution required but also on additional requirements such as permissible temperature range, resistance to penetration of dust or liquids and insensitivity to shock and vibration stress. We shall therefore have to consider each principle of measurement to be used in the light of such additional requirements and not just from the point of view of absolute accuracy. The choice between purely analogue measurement, the use of analogue measuring instru- ments with downstream analogue-to-digital converters and purely digital measurement processes is made only in a particular case after all the requirements have been taken into account. 2 Principles 2.1 Measurement technology 2.1.1 Units The following is used as a physical equation in DIN 1313: quantity = numerical value x unit (e.g. s = 1.824 m). On 3 July 1970, the Ger- man law on units of measurement, which states that henceforth only the fundamental quantities specified in the SI (Système International d'Unités) international system of units and the units derived from them may be used in official and commercial transactions, came into effect. The seven fundamental units of measurement are: the kilogram (kg) for mass; the metre (m) for length; the second (s) for time; the ampere (A) for electric current; the kelvin (K) for thermodynamic temperature or kelvin scale. The Celsius scale, symbol t, is defined by the expression t-T-T 0 where T = 273.15 K and T is the temperature on the kelvin 0 scale at the time of measurement; the candela (cd) for luminous intensity; the mole (mol) for amount of substance. The major derived units, some of which have been amended by law, are as follows: • force: the newton (N) lN=lkg-ms-2;
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