Philips tech. Rev. 33, 244-248, 1973, No. 8/9 244 Moving-coil motors J_ H_ M. Hofmeester Small d.c. motors are used in very large numbers in playback equipment, toys, measuring recorders, etc. These motors owe their wide applications to a number of features which can be made use of singly or in combination, depending on the particular requirements. For example, the efficiency is high, even for very small motors; the delivered torque is uniform, and there is ample scope for selection and contra I of the motor speed. Further features which may be of importance are the rapid start, the ease with which the direction of rotation can be reversed and the possibility of using a battery as power supply. The rotor of such motors often consists of a laminated ferromagnetic material, with the rotor windings wound round the stack of laminations. Fig. 1 shows by way of example a simple version with three rotor lobes. The stator generally consists of a permanent magnet in the form of a hollow cylinder, which is sometimes divided into a number of segments. Despite the utility of this type of motor for many applications, it has certain disadvantages when a very uniform torque is required, e.g. in tape recorders. Since there are slots in the rotor, it has anum ber of preferred positions, sometimes called 'reluctance positions'. The corresponding magnetic reluctance torques can be felt when the shaft of the motor is turned by hand. It will be clear that these reluctance torq ues give fluetuations in the torque delivered by the motor; this has an adverse effect on the quality of audio recording and playback. The reluctance torques can also cause motor noise, since there is always a little play in the bearings. The reluctance torques can be reduced by increasing the number of rotor lobes, but for given motor dimensions this can only be done at the expense of the efficiency, since the space factor of the winding is then decreased. Another solution is to minimize the width of the rotor slots, but this also can only be done within certain limits since the slot has to be wide enough for the winding process. The impossibility of eliminating the reluctance torques from motors with an iron rotor while continuing to satisfy all the other requirements involved led us to design three d.c. motors with no iron in the rotor. Such motors, which are called moving-coil motors, offer the following advantages: J. H. M. Hofmeester and J. P. Koutstaal are with the Philips Audio Division at the 'Johan de Wilt' Works, Dordrecht, the Netherlands. and J. P. Koutstaal 1. Reluctance torques cannot arise since there is no iron. 2. Since there are no discrete rotor lobes, the rotor can be wound uniformly, which makes it possible to divide the winding into a large number of coils. This also helps to reduce the fluctuations in the delivered motor torque, since a large number of coils with corresponding commutator segments reduces the torque pulses resulting from commutation. This feature makes this type of motor very suitable if a low and uniform speed of rotation is required. 3. The moment of inertia of the rotor can be made smaller than that of a rotor with an iron core in a comparable motor (same power consumption, same torquespeed characteristic). 4. Iron losses (hysteresis losses and eddy-current losses) cannot occur in the rotor. This is especially important in small motors, where the delivered motor torque can be of the sa me order of magnitude as the loss torque caused by an iron core (a situation which leads to a very low efficiency). 5. The inductance of the rotor is low, which improves the commutation: there is less electrical interference, and the life ofthe commutator (and hence ofthe motor) is increased. We shall now discuss the basically simple principle of the d.c. moving-coil motor, with reference to jig. 2. Fig. 1. Example of a d.c. motor with iron rotor. H housing. M cylindrical permanent magnet with poles Nand S. R rotor, consisting of a stack of laminations. The winding W is situated in the slots between the rotor lobes (three in this example). Philips tech. Rev. 33, No. 8/9 MOVING-COIL MOTORS 245 The stator consists of a permanent magnet M, which produces a magnetic flux density B in the air gap d between the magnet and the housing H (which is made of a ferromagnetic material). The rotor winding W rotates round a vertical axis in this air gap (only one turn of the winding is shown). If the flux density B and the current i in the turn have the directions shown in the figure, the rotor will rotate anticlockwise under the influence of a Lorentz force F applied to one side of the turn; the magnitude of this force is liB, where I is the length of the side of the turn in question. The torque delivered per turn, Te, is equal to 2Fb (b is the radius of the winding). Construction Fig. 2. Principle of the moving-coil motor. H housing. M permanent magnet (stator). Wane turn of the coil (rotor). The side of the coil is of length I. The magnet M gives a magnetic flux density B in the air gap d. When a current i flows in this turn, a Lorentz force F is exerted on it. The radius of the winding is b. 4 H w fv1 Fig.3 shows a cross-sectional view of one of our movi ng-coil motors. The stator consists of a permanent magnet M mounted on the steel motor housing H by means of a support 7. This steel housing is also a part of the magnetic circuit; the magnet has two diametrically opposite poles. The rotor is formed by a winding W wound on a coil former 5 with cover 6. The coil former is fixed on a shaft 8. The winding consists of a large number ofturns distributed uniformly round the circumference, and is divided into five or nine coils, depending on the type of motor. The commutator 2 is built up of flat segments (see also fig.4b), one per rotor coil. These segments are gold-plated by a special technique. The brush unit consists of two brush springs J, mounted in an injection-moulded plastic bridge 4. The 5 Fig.3. Cross-sectional view of a practical version of the movingcoil motor. J brush spring. 2 commutator segments. 3 damping compound. 4 plastic bridge carrying the brush springs. H motor housing. W coil. M permanent magnet. 5 coil former with cover 6. 7 support for mounting the magnet on the housing. 8 motor shaft. J. H. M. HOFMEESTER 246 brush springs are silver-plated at the place where they make contact with the commutator. Damping compound 3 is applied to damp the vibrations of the brush springs. Winding and magnet It can be seen from fig. 3 that the coil former has central projections at each end: these are necessary for the insertion of the magnet support and for attaching the coil former to the motor shaft. This arrangement does not permit purely diametral winding, and the winding method shown in fig. 4a has to be used, in which the plane of the winding is slightly skewed with respect to the centre-line of the coil former. A regular distribution of the turns around the circumference is obtained by rotating the coil former through a small angle Cl. after each turn of the coil has and J. P. KOUTSTAAL Philips tech. Rev. 33, No. 8/9 centrated at a small cross-section through the winding. As a result, the total length of the winding in a motor of a given size can be made less than in a moving-coil motor. Since the motor losses are mainly the sum of copper-resistance losses and iron losses, the higher dissipation in the coilof the moving-coil motor could partially cancel out the advantage of the absence of iron losses. This difficulty can be avoided by making the permanent magnet of material with very good magnetic properties. This makes it possible to obtain a motor with good characteristics (in particular, high efficiency and short starting time). In the moving-coil motors described here we used 'Ticonal' 550 [*1, a magnet steel which is given an anisotropic structure by means of a special heat treatment; this material combines a reasonably high remanence with a high coercivity (see b a Fig. 4. a) Principle of the 'ball-winding' method which has to be used to leave the central space in the coil free. The turns are distributed over the circurnference by rotating the coil former through an angle (J. after each turn. b) A rotor (coil + commutator) wound in this way. been wound; the value of Cl. is chosen so that the coil former will have rotated through exactly 360 after the desired number of turns. Because of the skewed position of the turns, successive turns will cross previously wound ones during the winding process. The coil obtained in this way looks rather like a ball of string and this winding method is therefore called 'ball winding'. A photograph of a wound rotor complete with commutator is shown in fig. 4b. The air gap between the magnet and the housing is considerably wider than the thickness of the winding, since room must be left for the coil former and for clearance on each side. Since this space can only be provided at the expense of the magnetic flux, the moving-coil motor is at a disadvantage here compared with the iron-rotor motor (see fig. I). Moreover, in the motor with iron rotor the magnetic flux can be con0 jig. 5). 'Ticonal' 550 has a (BH)max product of about 4.4x 104 J/m3 (5.5x 106 GsOe). In the operating range of the motors, the product BH lies between 4.4 X 104 and 3.5 x 104 J/m3. The high magnetic flux produced in the air gap as a result of the use of this material, and which is not of course limited in this type of motor by magnetic saturation of the core, compensates for the above-mentioned disadvantages. A further advantage is that with the geometry of coil and magnet used here, the ends of the coil are situated in the stray field of the magnet, so that the winding wire there does not merely increase the resistance of the coil, it also makes an appreciable contribution to the motor torque. 'Ticonal' 550 magnets are expensive compared with magnets made of the materials conventionally used in d.c. motors, such as ferroxdure. The winding method Philips tech. Rev. 33, No. 8/9 MOVING-COIL MOTORS 247 that the 'motor approaches the zero-load speed IlO asymptotically; at the speed IlO it will rotate with a drive torque Te = O. The time constant Ts is defined for the unloaded motor, so that only the moment of inertia of the rotor is of significance. If we denote the latter quantity by I, the changes in speed are given as a function of time by: Tc = 2nl d/l dr ' B r Combining the above two equations, we find that the speed a time t after switching on is given by: lI(t) = /10(1 - e -liT") , where = Ts -1 -0.5 -H Fig. 5. Demagnetization curve of 'Ticonal' 550. B is the flux density in teslas (I T = 104 Gs). H is the demagnetizing fieldstrength in A/m (I A/m = 4n x 10-3 Oe). The load lines for the magnets of the motors described in this article fall inside the shaded area. used for the coil, and the complete construction of the motor are also more expensive. It is therefore likely that the application of the moving-coil motor will be restricted to cases where high-quality operation is required - in particular, uniform rotation, a low loss torque and a small moment of inertia. The last point is of importance for rapid motor starting, and rapid speed changing; the 'starting time constant' of the motor, which is a measure of its performance in this respect, should be kept low. The starting time constant Ts depends on a number of characteristic features of the motor. To illustrate the relation between this constant and the features in question, we shall derive an expression for Ts. If we neglect the electrical time constant, equal to the ratio L/R of the inductance L and the resistance R of the motor, we can start by considering the linear relation between the motor torque Te and the speed n found for a d.c. motor (jig. 6). This linear relation is represented by the equation Te = Ts(1 - 11/110), where Ts is the starting torque and 110 the speed at zero load. Mechanical and electricallosses are neglected here, which means Te 1 The starting time constant Ts is thus proportional to the moment of inertia I, which can be made much smaller for an ironless rotor than for an iron rotor. If we want to derive the full advantage from this, we must ensure that the ratio 1I0/Ts for the moving-coil motor is no larger than the value for an iron-rotor motor. The zero-load speed is defined by: V = 2nC/lo<Prs, where V is the applied voltage, C is a motor constant and <Prs the flux enclosed by the rotor coils [IJ. The starting torque is given by: where is is the current immediately after switching on. The current is therefore entirely determined by the motor resistance R and the applied voltage: is = VIR, so that 110 Ts - R 2nC2<Prs2 • The time constant is thus inversely proportional to the square ofthe enclosed flux. Ifwe want to take full advantage ofthe small moment of inertia of the moving-coil motor, we must provide a powerful magnetic field. As mentioned above, we are not limited here by the magnetic saturation of the rotor core as in the case of a motor with iron rotor. Practical realization Fig. 7 gives the dimensions and other data for three of our moving-coil motors, together with a number of applications. Motor A was designed for use in a new version of the Pocket Memo dictating machine [21. The good performance of the motor is reflected in the following four points: 1. Since the motor is small (the delivered torque is only 2 X 10-4 Nm), the low loss torque of the moving-coil motor (0.5 X 10-4 Nm) is particularly useful. As a result of this, the mechanical efficiency is as high as 80 %, while the overall efficiency (54 %) is also relatively high. [IJ [2J Fig. 6. Torque-speed characteristic of a d.c. motor. The motor torque Te is plotted as a function of the speed 11. T. is the starting torque, and IlO the zero-load speed. 2nlIl0/Ts• [*1 See E. M. H. Kamerbeek, Electric motors; this issue, p. 215. An earlier version of the Pocket Memo is described in P. van der Lely and G. Missriegler, Audio tape cassettes, Philips tech. Rev. 31, 77-92, 1970. 'Ticonal' is a registered trade mark of N.V. Philips' Gloeilampenfabrieken. 248 MOVING-COlL MOTORS The current required for driving this machine is only 20mA. 2. The Pocket Memo has no capstan and hence no flywheel, so that a motor with a uniform speed is vital here to avoid wow and flutter. 3. The motor noise must be kept to a minimum, since the built-in microphone is very close to the motor. An important source of noise - bearing chatter due to the reluctance torques is completely absent in the moving-coil motor. 4. As the motor is also very close to other electrical Philips tech. Rev. 33, No. 8/9 The more powerful motor C is used in tape recorders with separate reels and in professional equipment such as measuring recorders and computers. The application in tape recorders is again based on the uniform rotation, even at low speeds where the effect of the flywheel is slight. The small time constant (Ts = 19 rns) is a great advantage for professional equi pment. These examples show that a motor with a movingcoil rotor may be the best choice in cases where uniform rotation, minimum motor noise and a small starting time constant are of importance. ,w 29 ÎTl I -tt., 395 I i A Te = 2x 10-4 Nrn efficiency Ts 54 % 5 rotor TS coils pocket dictating cameras Te = = 64 % efficiency 23 ms 9 rotor machines c Tc = 10-2 Nrn 5 X 10-3 N m efficiency = 56 ms U B Ts coils components in the dictating machine, the low rotor inductance - and therefore the low electrical interference level - is a useful feature. Motor 8 was developed for cassette recorders (for both audio and digital data). The diameter is chosen so that four motors can be mounted under one cassette if required, thus permitting both cassette reels and both capstans to be driven directly (for tape transport in both directions). In tape recorders the direct drive is an added advantage; the moving-coil motor does not produce wow and there is no chance of wow arising from gearing. The small starting-time constant (r, = 23 ms) is important for digital applications. 82 % 19 ms 9 rotor digital cassette recorders audio cassette recorders Fig. 7. Illustrations and data for three moving-coil motors. The constant. The photograph for motor A shows this motor used in shows a model of a digital cassette recorder developed at Philips tape transport in both directions, this photograph shows (on the control. The photograph for motor C shows this motor mounted = coils tape recorders professional equipment, such as measuring recorders and computers torque Te is given lor a speed of 3000 rpm. Tg is the starting time a Philips Pocket Memo dictating machine. The photo for motor B Electrologica. Apart from two type B motors, which are used for right) a type C motor with a tachosystem designed for tape-speed in a Philips tape recorder. Summary. Moving-coil motors contain a rotor consisting merely of a coil with commutator rotating about a permanent magnet (the stator); conventional small d.c. motors have rotor coils wound on an iron core. The advantages of the ironless rotor include the absence of reluctance torques (so that it is easier to obtain uniform, low-noise motion) and the small moment of inertia, permitting short start and stop times. Moving-coil motors also have a high efficiency (particularly in the low-power models) because there are no iron losses. However, these motors have the disadvantage that the flux density inside the coil is lower than in an iron-rotor motor of comparable dimensions. In the motors described in this article, this disadvantage is minimized by making use of the permanent-magnet material 'Ticonal' 550, which has a large (BH)max product. Moving-coil motors are suitable for use in equipment where uniform motion, rapid reaction and high efficiency are required, and where the greater expense is not a serious drawback. A number of practical versions are discussed, with their applications in tape recorders, pocket dictating machines, measuring recorders, etc.