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ELECTROTECHNOLOGY N3 PJA Bakker TROUPANT Publishers Preface This book was written at the request of the publishers and colleagues in vocational training in the Department of Education and Culture and the Department of Education and Training. The contents of this book are of such a nature that it should be completed within eight to nine weeks. This was the express purpose and as a result you may find some sections too concise. I am, however, well aware that the subject is studied by both electrical and mechanical students who have further study in mind, specifically Electrotechnics N4. My intention was to provide basic, essential knowledge for students, especially those who are novices in the field of electricity and electronics. I suggest that lecturers make constant and adequate use of practical demonstration as prescribed in the syllabus. Any textbook has its fair share of errors and shortcomings and colleagues may experience the same in this work. Therefore I shall appreciate constructive criticism to enable maximum utilisation of its potential by students and lecturers alike. The use of supplementary works by lecturers is essential to broaden students' knowledge and for their thorough comprehension of the subject. As mentioned before, time is a limiting factor; nevertheless, I remain confident that the contents of this book cover the syllabus to the extent that examination papers should be attempted with confidence. In conclusion, my sincere thanks to all those who provided much appreciated support in this task, especially my wife who typed the manuscript with so much patience. THE AUTHOR Foreword This textbook was written with the express purpose of serving as a guide to the tuition of Electrotechnology N3 offered by the Department of Education and Culture and the Department of Education and Training. In effect a long-felt need has been satisfied as this very well illustrated and thorough textbook covers the syllabus for Electrotechnology N3 and links up with the Engineers' Certificate of Competency. Mr Bakker is an experienced senior lecturer who regularly obtains very good results in the subject. At present he is also examiner of the subject and I am convinced that the book will be a boon to lecturers and students alike. I thank him for a task well done. A. G. CAWOOD PRINCIPAL SASOLBURG TECHNICAL COLLEGE Contents 1. Direct current machines 1.1 1.2 1.3 Construction of a direct current machine. Armature reaction Commutation. I 3 4 2. Direct current generators 2.1 2.2 2.3 Operation of a dc generator . The elementary dc generator .. Methods of excitation. 7 8 9 Operation of a dc motor Back emf.. Emf equation of a dc machine. The speed of a dc motor ... The torque of an electric motor .. Types of direct current motors. Speed control of dc motors. Direct current motor starters. Overload protective devices ... Reversing the direction of rotation of dc motors ................. 14 15 16 17 18 19 22 24 25 26 Losses in dc machines ..... Efficiency of dc machines . Determination of efficiency 30 31 32 5. Alternating current theory 5.1 5.2 5.3 5.4 5.5 5.6 5.7 Definitions of alternating current terms ................................ Generation of an alternating current ............................ Value of the induced emf ............. Instantaneous value of an alternating quantity ........................... Maximum, rms and average values .............................. The mid-ordinate rule .......... Alternating current circuits ... 55 59 60 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 Construction and principle of operation ... Double-wound transformer .. The transformer ratio Three-phase transformers. Single-phase transformers connected in delta and star ............... Power in three-phase circuits The auto transformer ... Losses in transformers Cooling of transformers. 65 66 66 67 68 69 70 70 70 7. Electronics 4. Efficiency of direct current machines 4.1 4.2 4.3 47 51 52 53 54 6. Transformers 3. Direct current motors 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 Series circuits . Power and power factor Active and reactive components . Resonance in a series circuit. More examples on series circuits. Parallel alternating current circuits .. 5.14 Resonance in parallel circuits 5.15 Three-phase alternating current circuits .. 5.8 5.9 5.10 5.11 5.12 5.13 37 38 38 39 39 40 44 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 Semiconductor devices .............. The p-n junction diode ........ Ac to dc conversion (rectification) Transistors ......................... Transistor configurations ...... The silicon-controlled rectifier (SCR) ................................. The cathode-ray oscilloscope. Principles of digital logic ...... Number systems ..... . . . . . . . . . . . . 72 73 74 77 78 79 82 83 89 8. Measuring instruments 8.1 8.2 8.3 8.4 Basic mechanisms ... ................... Moving-iron instruments .............. Moving-coil instrument ................ The dynamometer instrument ........ 92 93 95 96 8.5 8.6 8.7 8.8 Connection of instruments in single-phase circuits........... .... . .. ... 98 Connections of instruments in three-phase circuits. . . . . . . . . . . . . . . . . . . . . . 98 Instrument shunts and series resistances. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 Instrument transformers........... . . 100 Appendices A B C D E --- Syllabus Definitions SI system...................................... IEC symbols..... Exam papers.................................. 103 103 104 109 III 1. Direct current machines The operation of direct current motors and generators is not only the same in principle, but the practical design does not differ much either. A direct current motor can be used as a generator and vice versa. However, if we consider the purpose of each machine and where it is used, there are a few differences in the construction. Generators are normally installed in buildings where they operate under ideal atmospheric conditions. They may therefore be of an open-type design. A motor, on the other hand, may be installed where it is subject to abnormal weather conditions, temperature changes, gases, etc. The result is that often the motor must be constructed in such a way that it is totally enclosed, and this requires some way of cooling the motor. which are either moulded or screwed onto the ends of the poles, hold the field coils in position. They also increase the efficiency of the magnetic path. 1.1.2 The armature core The armature core consists of plate steel or silicon steel laminated plates which are insulated from each other with varnish. It is mounted on a shaft and clamped down with the aid of end plates. Laminated plates are used in order to reduce eddy currents. Slots are stamped on the periphery of the core to accommodate the armature windings (see also Fig. 1.1 ). 1.1.3 The commutator 1.1 Construction of a direct current machine 1.1.1 The stator and field poles Fig. 1.1 shows the general arrangement of a fourpole dc machine. The yoke P is that part of the machine which forms the outer casing of the machine and supports the main field system. It is made of wrought iron or steel and forms the magnetic circuit of the main poles. The main poles R are either moulded with or bolted to the yoke. The pole shoes, A commutator is an integral part of any dc machine but its purpose differs as far as generators and motors are concerned. A generator must supply a voltage which remains constant in direction and magnitude. It is therefore necessary to use a commutator to ensure that a steady or direct voltage will be obtained from the alternating emf generated in the rotating conductors. In the case of a direct current (dc) motor the purpose of the commutator is to provide a difference in R .... stator FIG. 1.1 General arrangement of a dc machine _---- polarity between the armature and the field and in this way produce motion. A commutator consists of a number of wedge-shaped segments of hard-drawn copper. The segments are built up in a cylindrical form, and fixed by V-rings. They are insulated from one another by thin layers of mica. The segments are wedge-shaped so that they will be held in position and not be moved by the centrifugal force of the armature. The mica between the segments is undercut to ensure the free movement of the brushes between the segments. The armature conductors are soldered to each segment. The types of brushes normally used are the following: • The electrographite brush: It consists of graphitised carbon. Its coefficient of friction is low and it has a high current-carrying capacity. • Graphite brushes: They are made of graphite, are mechanically weak and therefore not used in large motors. • Copper-graphite brushes: They are manufactured of a compressed mixture of copper and graphite, and can take a high current density. The degree of hardness is determined by the amount of copper that is added. • Carbon brushes: Carbon brushes are cheap and are used in motors with a low current density. 1.1.5 Armature windings ~-------F==t - - Two methods are used to wind the armatures of direct current machines: • lap winding • wave winding. The choice of the type of winding is determined by factors such as the size and function of the machine. The windings are placed in the slots on the circumference of the armature. In most cases they are wound beforehand and are then fixed into the slots with the necessary insulation. Two very important factors concerning the design of an armature, and thus also the choice of the windings, are: • the pole pitch, i.e. the distance between the centre of the poles • the coil pitch, i.e. the distance between the coil sides. When machines are designed, the pole and coil pitches are normally made equal so that the two coil sides move simultaneously under two different poles. B FIG. 1.2 Construction of a commutator In the above figures A represents the copper segments, B the mica insulation, C the point of connection on the segment, D the mica insulation between the V-rings and the copper segments, and E the armature shaft. 1.1.4 Brushes and brushgear Lap winding Brushes for use in dc machines mainly consist of a carbon and graphite mixture. The brushes are obtainable in different grades of hardness which are determined by the percentage of graphite in the mixture. Care must be taken that brushes of the correct shape, size and grade are used for a specific machine. The brushes are normally placed in a brush holder and kept in position on the commutator by means of a spring. The correct pressure on the brush is of great importance, because excessive pressure will damage the brush and shorten its lifetime. In normal machines the pressure on the brushes varies_ between 0,7 and 1,1 N/cm 2• Brushes are "embedded" on the commutator, i.e. they are ground with emery paper so that they take on the arc of the commutator. Consequently the total contact area of a brush is used and this ensures maximum current flow. Lap winding is also known as an overlap or parallel winding. The two ends of each coil are connected to adjacent commutator segments. The shape of the lap winding is shown in Fig. 1.3. The number of parallel circuits formed by a lap winding is the same as the number of poles. The total current in the machine is divided equally among the parallel circuits and therefore this type of winding is especially suitable for high currents. The number of brushes and poles in a lap-wound machine is the same because brushes with the same polarity are connected. Most large generators and motors rotating at normal speed are fitted with lap-wound armatures because of their ability to carry high currents. Welding generators are a good example. A lap winding is normally called a high-current, low-voltage winding. 2 This effect is called armature reaction and it can be defined as follows: Armature reaction is the distortion of the main magnetic field as a result of the current flowing in the armature conductors, or it is the effect of the armature ampere-turns upon the value and the distribution of the magnetic flux entering and leaving the armature core. FIG. 1.3 The lap winding Wave winding In contrast with a lap winding, the two ends of each coil of a wave winding are not connected to adjacent commutator segments, but to segments a certain distance apart (approximately two pole pitches). The windings are such that only two parallel circuits are formed and thus only two brushes are used, irrespective of the number of poles. Each circuit consists of a number of conductors in series and it forms half of the total number of conductors on the armature. 1.2.1 Armature reaction in a dc generator Let us consider the principle of a simple de generator. Fig. 1.5 (a) shows the distribution of the field due to the main poles only. In this case there is obviously no armature current and the flux is distributed uniformly (N to S). In Fig. 1.5 (b) an armature is shown in position. The magnetic field shown is due to the armature current only and it flows in the direction in which it will actually flow if the machine is used as a generator. The direction of this flux is at right angles to the centres of the pole shoes and the armature core; therefore the flux caused by the armature current is called cross flux. Fig. 1.5 (c) shows the resultant distribution of the main field and the armature field when the armature rotates in an anti-clockwise direction. The cross flux opposes the main flux over the leading halves of the pole faces and reduces the flux density, while the flux density is strengthened over the trailing halves because the cross- and the main flux support each other. The total flux remains unaltered although the fluxes are distributed unevenly. As shown in Fig. 1.5 (c), the resultant flux is distorted in the direction of rotation. This only happens in the case of a direct current generator. FIG. 1.4 The wave winding The emf generated in a wave winding is equal to the emf induced in one half of the total number of conductors (due to the two parallel circuits). It can be deduced that a wave winding is a high-voltage, low-current winding. Wave-wound machines are mainly used where low and medium currents are required. Owing to this distorted field the brushes must be shifted in the direction of rotation from the geometric neutral axis through a certain angle to a position called the magnetic neutral axis (see Fig. 1.5 (c)). The purpose is to reduce or eliminate sparking on the brushes because a voltage will be induced in the coils if the brushes remain in their original positions, i.e. at 90 0 with the main field (see Fig. 1.5 (a)). 1.2 Armature reaction When the armature of any direct current generator or motor rotates, then the two fields of the machine are acting upon each other, i.e. the one field has an influence on the movement and distribution of the other. 3 () - magnetic neutral axis N -- -..- - N -~ s (a) brushes - geometric neutral axis (8 = lagging) FIG. 1.6 Armature reaction in a dc motor s N 1.3 Commutation The emf generated in the conductors of a dc armature is an alternating emf. The current flows in one direction when the conductor is moving under the N pole and in the reverse direction when it is moving under the S pole. This reversal of current in a coil has to take place while the two commutator segments, to which the coil is connected, are being short-circuited by a brush. This process is termed commutation. As previously mentioned, the purpose of the commutator differs in dc motors and generators. In the case of the generator the commutator must change the alternating emf to a direct current. In a motor it must provide a difference in polarity between the armature and the field in order to produce motion. (b) .... \ s (c) geometric neutral axis 1.3.1 Commutation and sparking on the brushes «() = leading) To obtain satisfactory collection of current from a rotating commutator by means of brushes, it is essential that the brushes should make good contact with the commutator. Even with good contact, sparking may take place. When a coil passes from one side of the brush to the other it is transferred from, say, the right to the left of the brush. For a brief period the commutator segments joined to the coil are short-circuited by the brush, and it is during this very short period that the current in the coil has to be reversed. In Fig. 1.7 (a) coil A is about to leave the circuit comprising the coils under the N pole; in Fig. 1.7 (b) coil A is short-circuited by the brush, and in Fig. 1.7 (c) the coil has been completely transferred to the circuit of the coils under the S pole. The current has been completely reversed, compared to the one in Fig. 1.7 (a). Fig. 1.5 Armature reaction in a de generator Distribution of flux due to (a) poles alone; (b) armature current; (c) poles and armature current 1.2.2 Armature reaction in a dc motor Since current flows through the armature conductors of a motor, a magnetic field will be set up around the conductors. This magnetic field will also distort the main field, just as in the case of a generator. It is therefore obvious that the dc motor is also subject to the effect of armature reaction. The direction of distortion of the flux in a motor is opposite to that in a generator. To eliminate sparking, the brushes of a motor must also be shifted to the magnetic neutral axis, but in this case against the direction of rotation (Fig. 1.6). 4 ~ This means that the current density has become very high and an arc is easily formed when the segment leaves the brush. By using carbon brushes the contact resistance is considerably increased and commutation greatly improved. Various grades of carbon brushes possessing different contact resistances are manufactured; the most suitable grade for a particular machine is usually determined experimentally. I (a) ~---~ (b) Shifting the brushes: When the brushes of a generator are moved forward to the magnetic neutral zone, the short-circuited coils will not be generating any emf. Reversal of the current in a short-circuited coil will then be determined by the relative resistance of that coil and by the areas of contact between brushes and segments. It is preferable to move the brushes a little further than the magnetic neutral zone to allow the shortcircuited coil to cut the fringing flux of the next main pole. II.' \\ (b) ~--I_N The disadvantage of this method is that, in order to achieve optimal commutation, the brushes have to be moved each time the current changes. To improve commutation in a generator the brushes must be moved forward in the direction of rotation. In a motor they have to be moved backwards against the direction of rotation. The brushes are then placed on the magnetic neutral plane. (c) FIG. 1.7 (a), (b), (c), Commutation Fig. 1.7 (b) illustrates the position of coil A in the middle of the commutation period. If, at this instant, the current is reduced to exactly zero, the commutator segments 2 and 3 will share the current uniformly, as indicated. The current in the coils must be reversed at exactly the correct rate. The armature coils possess considerable inductance, and thus the change in the current will be retarded automatically. It is therefore essential to support the reversal of the current by arranging that the coils actually cut through a magnetic field and that they are such that a reversing emf is established, opposing the emf of self-induction. (c) Interpoles: It is customary to fit interpoles in all dc motors and generators, other than the very smallest types. These are smaller pole pieces placed between each pair of main field poles, and their purpose is to ensure sparkless commutation at any load within the capacity of the machine. When an armature is operating under conditions of load, conductors under the main poles tend to establish a flux with opposite polarity to that required for satisfactory commutation. Winding sufficient turns on the interpoles neutralises the effect of these "armature ampere-turns" or armature field. Since the armature field varies with the load, the strength of the interpole fields also varies, since they are excited by the main current. The correct sequence of poles in a motor is as follows: the main poles are followed by interpoles of the same polarity in the direction of rotation (Fig. 1.8 (a». In the case of a geneator with interpoles the sequence is reversed, i.e. main poles are followed by interpoles of opposite polarity in the direction of rotation (Fig 1.8 (b». 1.3.2 Methods of improving commutation It is obvious that the commutation process is subject to various factors which may have a negative influence on it. Four methods are normally used to limit these factors. (a) Increasing the brush contact resistance: If the brush contact resistance is made very low a large current still flows from the segment to the brush. 5 compensating winding '\ ~ motion of armature FIG. 1.9 Compensating windings FIG. 1.8 (a) Interpoles in a motor Exercise 1 1. Draw a neat, fully labelled sketch of a fourpole dc machine. 2. Briefly discuss the following components of a dc machine (a) stator (b) field poles (c) armature core. 3. What is the function of the brushes in a dc machine? 4. Discuss four types of brushes normally used in dc machines. 5. Give a full description of the brushgear, installation and maintenance of brushes of a dc machine. (Also refer to other sources.) 6. Draw simple sketches of (a) a lap-winding and (b) a wave winding and discuss each winding fully. Indicate the pole and coil pitches on the wave winding. 7. What is meant by armature reaction? 8. Discuss armature reaction fully with the aid of sketches. 9. Explain what is meant by commutation in (a) a dc motor and (b) a dc generator. 10. Explain the different methods used to improve commutation. FIG. 1.8 (b) Interpoles in a generator (d) Compensating windings: Direct current motors which have to operate with a wide variety of speeds and on which excessive overloads may occur, are generally equipped with armature-compensating windings. With a wide range of speed variations it is essential to run the machine with a considerably reduced field strength at the top speed, and the action of the armature ampere-turns would distort the field were not some special steps taken to prevent this. The method used consists of making slots on the faces of the main poles. The windings are placed in the slots and connected in such a way that the ampere-turns are equal and opposite to the ampereturns of the armature conductors opposite the pole (Fig. 1.9). Motors with armature-compensating windings are far more expensive than the ordinary, standard types, and normally compensating windings are only used in very large machines. 6 2. Direct current generators The use of dc generators is very limited because energy is normally generated as alternating current. In general dc generators are used to provide the generating supply of ac generators or to change ac to dc for industrial applications. through the magnetic flux induces an emf in the conductor and this can be measured on the voltmeter V. If the conductor moves downwards, the current flows in the direction indicated by the arrows. Upward movement of the conductor results in current flow in the opposite direction. This observation shows that the direction of the flow of current depends on the direction of movement of the conductor. In the same way a change in the direction of the magnetic flux is responsible for a change in direction of the ind uced current. The magnitude of the induced emf in a conductor therefore depends on: • the strength of the magnetic field; • the rate at which the magnetic flux is cut by the moving conductor; • the number of active conductors connected In series; • the number of pairs of poles used. We have mentioned that the direction of the induced 2.1 Operation of a de generator The principle of electromagnetic induction was discovered by Michael Faraday. After several experiments he defined the concept "electromagnetic induction" as follows: When a cond uctor cuts a magnetic flux or is cut by a magnetic flux, an emf is generated in the conductor. The magnitude of this generated emf is directly proportional to the rate at which the conductor cuts the magnetic flux or is cut by the magnetic flux. In Fig. 2.1 the principle of generation is explained in an elementary way. The movement of the conductor v FIG. 2.1 Principle of generation 7 emf depends on various factors. There are two ways to deduce the direction of the induced or generated emf: • Fleming's right-hand rule • Lenz's law. The former is empirical, but the latter is fundamental in that it is based upon electrical principles. • Fleming's right-hand rule: If the index finger of the right hand points in the direction of the magnetic flux and the thumb is pointed in the direction of motion of the conductor relative to the magnetic field, then the middle finger, held at right angles to both the thumb and the index finger, indicates the direction of the induced emf (Fig. 2.2). A I / I / ./ I /' FIG. 2.3 Elementary dc generator I B ...- - - - - - - - ( ' I I I I I I I I I I ) I I I 1 + / / -- c .... o g A = index finger (flux) -go c r-------~..------___;.,-- u B = thumb (motion) § = middle finger (induced emf) FIG. 2.2 Fleming's right-hand rule FIG. 2.4 Waveform of induced emf • Lenz's law: The direction of an induced emf is always such that it tends to set up current opposing the motion or the change of flux responsible for inducing that emf. This law is used in all electric machines where the concept of induction applies, e.g. motors and transforme~. + 2.2 The elementary de generator '~time 5~-----~!....-_------''''--- Fig. 2.3 shows an armature coil which is connected to a commutator with two segments. When the armature rotates the flux is cut by the conductors and an emf is induced. This is an alternating emf and the commutator changes the ac to a direct current. The wave of the induced emf is sinusoidal (Fig. 2.4) and the output waveform of the dc generator is as shown in Fig. 2.5. FIG. 2.5 Output wave of a dc generator 8 2.3 Methods of excitation Excitation of a machine as such refers to the supply of current to the field winding in order to provide a magnetic flux for the generation of an emf. 2.3.1 Separate excitation I~ In a separately excited generator the exciting current required by the field coils is obtained from an external dc source - usually from another dc generator or even a battery. Separate excitation is seldom used with direct current generators but is normal practice in the case of alternating current generators. Fig. 2.6 shows a diagram of a separately excited generator deriving its magnetising current from a battery. A rheostat is connected in series with the field winding F of the machine and its purpose is to control the current through the winding. This results in the flux also being controlled. The ammeter A I indicates the current through the winding. This controlled field induces an emf in the armature circuit which in turn is connected to the load. With switch S open, the open circuit voltage can be read on the voltmeter V, and with S closed the terminal voltage can be read. Ammeter A 2 indicates the load current. A small change in field current will result in a large change in the load current and therefore the current flow must be controlled very carefully. The field winding cannot be excited to an unlimited extent because the rate of increase in flux, and thus also the emf, decreases as the magnetising current increases. This is due to the gradual saturation of the iron parts of the magnetic circuits. Fig. 2.7 shows the load characteristic of a separately excited generator. I load current FIG. 2.7 Load characteristic The terminal voltage gradually decreases with an increase in load current. This decrease in terminal voltage is due to armature reaction and the voltage drop in the armature circuit. Application: This generator is often used in automatic motor control systems. In these systems the field current is controlled by an amplifier and the output is used to drive a motor. 2.3.2 Self-excited generators In contrast with the separately excited generator, this type supplies its own generating current. In the case of the separately excited generator, the generated emf quickly reaches its maximum value, while in the case of the self-excited generator it may take a few seconds before maximum value is reached. As the field winding of this type of generator is connected to its own armature (see Fig. 2.8) it is dependent upon the residual magnetism in the iron. s ,....----{ A I - full load current I I )----. + v F rheostat load (changing) FIG. 2.6 Separately excited generator 9 It can be deduced that the output voltage of a series generator is dependent on the applied load and thus the voltage will increase when the load increases. rheostat field windings armature field windings load FIG. 2.8 Self-excited generator Residual magnetism is the magnetism which remains in the iron even after the current has been switched off. As soon as the generator starts turning, the armature conductors cut through this weak field and a weak emf is generated. This small emf forces a small current through the field winding, thus increasing the flux. In this way the flux and emf are built up to a maximum. These generators are classified according to the type of field winding used and may be subdivided in: • series generators • shunt generators • series-parallel or compound generators. FIG. 2.9 Series generator A b (a) The series generator In a series generator the field coils, the armature and the external circuit are all connected in series. This means that the same current that flows through the external circuit (load) also flows through the field coils and the armature. The field current, which is also the load current, is relatively large and therefore the required magnetic flux density is obtained from a small number of field windings. These windings are normally manufactured of thick wire. Fig. 2.9 shows a schematic diagram and Fig. 2.10 illustrates the load characteristic of the series generator. Under no-load conditions there is no current flow and therefore only a very small emf will be induced in the armature. This emf is due to the residual magnetism and is indicated by ab on the curve. If a load is connected there will be a flow of current and the field strength and terminal voltage will increase. A further increase in current will increase the field strength and a high voltage will be generated in the armature winding. At point A any further increase in load current will not result in a higher voltage, because the magnetic field has reached saturation point. a load current FIG. 2.10 Load characteristic of a series generator Application: The series generator is seldom used but its normal application is as a booster on dc transmission lines. The fact that its supply voltage is proportional to the armature current makes it suitable for this type of application. (b) The shunt generator The field coils and armature windings of a shuntwound generator are connected in parallel (Fig. 2.11). Owing to this parallel connection the current through the field coils is determined by the supply voltage and the field resistance (l = ~). The field wind- ings consist of a large number of turns and a relatively small current is required to prod uce the necessary flux density for the generator. The basic operation of a shunt generator is as follows: • The armature of the generator is driven up to the required speed. 10 • The lines of force due to the residual magnetism in the main poles are cut by the annature conductors. • The initial cutting of flux ind uces an emf in the armature conductors. • This induced emf is applied across the field since the field is connected in parallel with the armature. • A current flows in the field coils causing a field which strengthens the residual field. • The armature conductors are now cutting a stronger field and the induced emf increases until maximum voltage is obtained. • At this stage the magnitude of the terminal voltage can be controlled by the rheostat. field windings armature B C j (1) en I ~ "0;;> c; I full load ~ c "§ / / ~ / V I I I /' A load current FIG. 2.13 Load characteristic of a shunt generator Application: The shunt machine is the type of de generator most frequently used. However, the load current must be limited to a value well below the maximum value, thereby avoiding excessive variation of the terminal voltage. It is therefore used where a constant voltage is required, e.g. battery charging and excitation for ac generators. load (c) Series-parallel or compound generators The series-parallel generator is a compound series and shunt generator and possesses the properties of both of these machines. There are two sets of field coils one in series and the other in parallel with the armature -- and one coil of each are mounted on the same pole piece (Fig. 2.14). The circuit diagram is shown in Fig. 2.] 5. FIG. 2.11 Shunt generator field current FIG. 2.12 Open circuit characteristic of a shunt generator Load characteristic q( a shunt generator: When a shunt generator is loaded the maximum terminal voltage is obtained in a very short period of time. This is shown by A and B in Fig. 2. 13. When the load is increased there is a decrease in terminal voltage which is partly due to the increased luRu voltage drop in the armature winding and partly to armature reaction. The shunt current is also decreased and therefore the flux and the generated emf are reduced, thereby causing a further reduction in terminal voltage (B to C). If the load current is increased beyond C there will be a sharp drop in terminal voltage and therefore C is the ultimate point for generation. + FIG. 2.14 Compound generator - field coils series field coils load FIG. 2.15 Compound generator - circuit 11 overCOll pounded The shunt coils are connected in parallel with the armature and consist of many turns of a thin type of wire. The resistance is high and the current is small when compared with the armature current. These coils supply the main magnetic flux as required by the machine. The series coils must be able to carry the high armature current and thus consist of a few turns of wire with a large cross-sectional area. The resistance of these coils is low and it does not have a marked influence on the emf. level-eompounded , undercompounded differential series-parallel load current FIG. 2.17 Characteristics of compound-wound generators Cumulative compound generator: In this case the series and the shunt field coils are connected in such a way that the fields support each other. The two coils carry currents in the same direction so that the total magneto-motive force is the sum of the mmPs in the two coils (Fig. 2.16). Fig. 2.18 show~ the shunt circuit connected across the main terminals. This method is called a "longshunt" connection. Alternatively, the shunt winding may be connected across the armature terminals and then it is said to be a "short-shunt" connection (Fig. 2.19). It is not really important which method is used, because it has little effect on the ampere-turns of the machine. The type of connection is determined by the application of the machine. ...----_ _Gi_cr=-::J l shunt field coils R series field coils + FIG. 2.16 Cumulative compound generator load . - - FIG. 2.18 Compound generator - long shunt The machine reacts to a light load in exactly the same way as a shunt generator under no-load conditions. When the load increases, the effect of the series coils automatically increases the excitation. By suitable regulating it can be arranged that the series windings provide only the additional excitation necessary to maintain a constant voltage. The machine is then called "level-compounded". By having relatively powerful series coils the flux may be made to increase appreciably as the load increases. The machine is then regarded as being "overcompounded". In this case the terminal voltage is also larger than the no-load voltage. If the full-load terminal voltage for some reason or another is less than the no-load terminal voltage the generator is said to be "under-compounded". shunt field coils R series field coils IOadl FIG. 2.19 Compound generator - short shunt 12 Diflerentiaf compound Kenerator: In this type of generator the direction of the shunt and the series fields is such that they oppose each other (Fig. 2.20). Therefore the resulting field becomes weaker and the terminal voltage falls quickly with an increase in load current. This is shown in Fig. 2.21. Application: Compound generators are designed to eliminate the drop in terminal voltage when the load is increased. This voltage drop is undesired in feeder and lighting systems, and over-compounded generators are normally used to compensate for this problem. Exercise 2 I. Define Faraday's law. 2. Name four factors that determine the magnitude of the induced emf in a conductor. 3. Explain Fleming's right-hand rule. 4. Define Lenz's law. 5. Explain fully what is meant by (a) separate excitation and (b) self-excitation. 6. Draw and describe the load characteristic of a separately excited generator. 7. Draw and explain the load characteristic of a series generator. 8. What is meant by residual magnetism? 9. Explain the basic operation of a shunt generator. ID. Give as many applications as possible of (a) the series generator, (b) the shunt generator and (c) the compound generator. II. Explain fully the load characteristic of a shunt generator. /2. What is the difference between (a) cumulative and (b) differential compound generators? 13. Draw neat schematic diagrams of (a) long-shunt and (b) short-shunt compound generators. 14. Draw and describe the characteristics of an over- and undercompounded generator. 15. What is meant by "level-compounded"? + FIG. 2.20 Differential compound generator load current FIG. 2.21 Load characteristic of a differential generator 13