CONSTRUCTION OF SINGLE PHASE INDUCTIVE LOAD AMALA JULIET MOKWUGWO julietmokwugwo5@gmail.com DEPARTMENT OF COMPUTER ENGINEERING SCHOOL OF ENGINEERING TECHNOLOGY FEDERAL POLYTECHNIC OKO ABSTRACT This project is titled construction of single phase inductive load. Load affects the performance of circuits with respect to output voltages or currents, such as in sensors, voltage sources, and amplifiers. An inductive load converts current into a magnetic field. Inductive reactance resists the change to current, causing the circuit current to lag voltage. Examples of devices producing reactive/inductive loads include motors, transformers and chokes. The single-phase motors are more preferred over a three-phase induction motor for domestic, commercial applications because form utility, only single-phase supply is available. A single phase induction motor is similar to the three phase squirrel cage induction motor except there is single phase two windings (instead of one three phase winding in 3-phase motors) mounted on the stator and the cage winding rotor is placed inside the stator which freely rotates with the help of mounted bearings on the motor shaft. The construction of a single-phase induction motor is similar to the construction of a three-phase induction motor. Keywords: Inductive motor, Single Phase, squirrel cage induction motor, Load, Power factor CHAPTER 1 1.1 Introduction/Background of Project Load describes the amount of power (amps) consumed by an electrical circuit or device. Load affects the performance of circuits with respect to output voltages or currents, such as in sensors, voltage sources, and amplifiers (Karady, 2013). In electricity, the phase refers to the distribution of a load. Single-phase power is a two-wire alternating current (ac) power circuit. Mains power outlets provide an easy example: they supply power at constant voltage, with electrical appliances connected to the power circuit collectively making up the load. When a high-power appliance switches on, it dramatically reduces the load impedance. An inductive load converts current into a magnetic field. Inductive reactance resists the change to current, causing the circuit current to lag voltage. Examples of devices producing reactive/inductive loads include motors, transformers and chokes. According to Kundur (2003), Inductive loads are more complex loads where the current and voltage are out of phase, and therefore there is a secondary voltage created that moves in opposition to the supply voltage. Because of this, they tend to create power surges when turned on or off. They include motor loads (horsepower loads) and magnetic (coils, electromagnetic) loads. Basically inductive loads are those loads which consume reactive power (Q). In laymen’s language all the loads which have rotating part are inductive loads like fans, motors, etc. As the current lags the voltage the inductive load is present. There for more the inductive load more will be power consumed. No load is pure inductive as every inductive load consists of some part of resistor. The single-phase motors are more preferred over a three-phase induction motor for domestic, commercial applications because form utility, only single-phase supply is available. A single phase induction motor is similar to the three phase squirrel cage induction motor except there is single phase two windings (instead of one three phase winding in 3-phase motors) mounted on the stator and the cage winding rotor is placed inside the stator which freely rotates with the help of mounted bearings on the motor shaft. The construction of a single-phase induction motor is similar to the construction of a three-phase induction motor. While 3-phase induction motors are mainly used in commercial and industrial applications, there are cases where the use of a 3-phase power supply is not possible and subsequently single-phase induction motors (SPIM)s are adopted. The application field range of SPIMs is impressive; they are extensively used in numerous industrial, agricultural, and residential applications such as washing machines, compressors, refrigerating and kitchen appliances, heatcirculating pumps, power tools, fans, sewing machines, vacuum cleaners, grain dryers, etc. In general, there is a strong demand for SPIMs, and it can be said without exaggeration that literally millions of them are produced every year.1 The main feature of SPIMs is that if they are put into operation by means of a rotating magnetic field, then their rotor will continue to rotate even if the coils are supplied with single-phase current, which does not create a rotating magnetic field.2 A SPIM that is equipped with a permanent capacitor (capacitor-run type) and that is usually designed for power outputs of 0.25 HP up to 1.5 HP presents the following characteristics and/or advantages over other types (thus, it will be the subject of study in this work): (1) it is less expensive and more reliable as it does not need any centrifugal switch, (2) it has a low starting to rated torque ratio, (3) it needs less starting current than any other design of SPIM and withstands a large load cycle, (4) it works silently while serving its load, (5) it enables adjusting its speed by changing the voltage of the power supply, (6) it is easily reversible (can stop and change rotation direction) because of the low torque, (7) it has a relatively high efficiency and high-power factor.3 As the power requirements of single load systems are usually small, all our homes, offices are supplied with a single–phase A.C. supply only. To get proper working conditions using this single-phase supply, compatible motors have to be used. Besides being compatible, the motors have to be economical, reliable and easy to repair. One can find all of these characteristics in a single phase induction motor readily. 1.2 Statement of the Problem At the same time and although the design and the use of SPIMs has evolved throughout the decades, there are still some factors related to optimization and efficiency, which have remained critical to engineers. A review in the relevant technical literature shows that there are several research efforts concerning the broad aspect of SPIM performance improvement, eg, previous studies. There is a need not only for a simple, reliable, and cost-effective single phase inductive load design procedure but also for a “multifeature” selection approach that can be easily followed to any application at the early stage of the design. Thus, the aim of this project tend to construct a single phase inductive load effective, and multicriteria approach as a decision aid tool, dealing with the appropriate design and selection of a certain SPIM topology among others, which meets the basic industrial standards regarding the motor’s frame sizes on one hand and satisfies certain specification criteria on the other. 1.3 Method of Solution The proposed approach begins with a preliminary design phase described that is based mainly on classical motors output coefficient concept while the diameter and length of the motor are modified according to the corresponding standards frame size. A systematic evaluation of (1) stator/rotor slots combination and (2) the rotors bars and rings material is performed. After an appropriate design is reached, a simple but effective selection strategy is also proposed, and a parametric analysis of the required permanent capacitor to be installed is investigated, to validate the appropriateness of the selected SPIM topology. 1.4 Aims and Objectives The aim of this project is to construct a single phase inductive load. The objectives include: 1. To understand the basic principles of operation of a single phase inductive load. 2. To provide efficiency, steadiness in the use of electrical appliances or devices. 3. To determine the starting methods of single-phase induction motors 4. To analyze capacitor split-phase motors (or) Capacitor start motors. 1.5 Justification This project construction of single phase inductive load is of great important because of its efficiency to power electronic appliances at residences. Power factor correction (PFC) is common in commercial and industrial applications. A need to extend the application of PFC will increased with the dwindling natural resources used for power generation and also exceeding energy demand, hence more efficient power usage and motor system are required at the forefront of utility's demand side management system. 1.6 Report Layout This project is arranged in five different chapters. Chapter one focused on the introduction, background, statement of problem, and scope of the project. Chapter two is on literature review; it reviewed related works. Chapter three is the methodology which focused on systematic and theoretical analysis of the methods applied in the project. Chapter four is the results and discussion while chapter five is the summary and conclusion of the project report. CHAPTER 2 LITERATURE REVIEW According to Fuchs (2009), protection apparatus prevent damage to the most vulnerable part of the motor, the insulation on the stator windings. For low-power motors, a temperature-sensitive device is often mounted inside the motor and used to switch off the electric supply if the temperature reaches its limiting safe value. With larger motors, temperature-sensitive detectors may be imbedded at one or more locations in the stator windings. An induction motor or asynchronous motor is an AC electric motor in which the electric current in the rotor needed to produce torque is obtained by electromagnetic induction from the magnetic field of the stator winding. An induction motor can therefore be made without electrical connections to the rotor. An induction motor's rotor can be either wound type or squirrel-cage type. Single-phase induction motors are used extensively for smaller loads, such as household appliances like fans. Although traditionally used in fixed-speed service, induction motors are increasingly being used with variable-frequency drives (VFD) in variable-speed service. VFDs offer especially important energy savings opportunities for existing and prospective induction motors in variable-torque centrifugal fan, pump and compressor load applications. Squirrel-cage induction motors are very widely used in both fixed-speed and variable-frequency drive applications. 2.1 Induction motor Induction machines are the most frequently-used type of motor used in residential, commercial, and industrial settings so far. In an induction motor, the electric current in the rotor needed to produce torque is obtained via electromagnetic induction from the rotating magnetic field of the stator winding. An induction motor has 2 main parts; the Stator and Rotor. The Stator is the stationary part and the rotor is the rotating part. The Rotor sits inside the Stator. There will be a small gap between rotor and stator, known as air-gap. The value of the radial air-gap may vary from 0.5 to 2 mm. An induction motor therefore does not require mechanical commutation, separate-excitation or self- excitation for all or part of the energy transferred from stator to rotor, as in universal, DC and large synchronous motors. An induction motor’s rotor can be either wound type or squirrel-cage type. The two types of induction motor is Single phase induction motor and three phase induction motor. Single phase induction motor The single-phase induction motor does not self-start. The main winding carries a sporadic current when the motor is attached to a single-phase power supply. It is quite logical that the cheapest, most reduced upkeep sort engine ought to be used most regularly. Based on their way of starting, these machines are categorized differently. Those types are shaded pole, split phase, and capacitor motors. Also, capacitor motors are started with capacitor, run with capacitor and have permanent capacitor motors. In these single-phase types of motors the start winding can have a series capacitor and a centrifugal switch. When the supply voltage is applied, current in the main winding holdups the supply voltage because of the main winding impedance. And current in the start winding leads/lags, the supply voltage depending on the starting mechanism impedance. The angle between the two windings is sufficient phase difference to provide a rotating magnitude field to produce a starting torque. The point when the motor reaches 70% to 80% of synchronous speed, a centrifugal switch on the motor shaft opens and disconnects the starting winding. Applications of Single-phase Induction Motors The single-phase induction motors are used in low power applications. These motors are widely used in domestic and industrial applications. Some of the applications are mentioned below: Pumps Compressors Small fans Mixers Toys High speed vacuum cleaners Electric shavers Drilling machines Three-Phase Induction Motor: Being self-starting, the three-phase induction motors use no start winding, centrifugal switch, capacitor, or other starting device. Three-phase AC induction motors have various uses in commercial and industrial applications. The two types of three-phase induction motors are- squirrel cage and slip ring motors. The features which make the squirrel cage motors widely applicable are mainly their simple design and rugged construction. With external resistors, the slip ring motors can have high starting torque. Three-phase induction motors are used extensively in domestic and industrial appliances because these are rugged in construction requiring little to no maintenance, comparatively cheaper, and require supply only to the stator. Applications of Three Phase Induction Motor Lifts Cranes Hoists Large capacity exhaust fans Driving lathe machines Crushers Oil extracting mills Textile and etc. Principles of operation In both induction and synchronous motors, the AC power supplied to the motor’s stator creates a magnetic field that rotates in time with the AC oscillations. Whereas a synchronous motor’s rotor turns at the same rate as the stator field, an induction motor’s rotor rotates at a slower speed than the stator field. The induction motor stator’s magnetic field is therefore changing or rotating relative to the rotor. This induces an opposing current in the induction motor’s rotor, in effect the motor’s secondary winding, when the latter is short-circuited or closed through an external impedance. The rotating magnetic flux induces currents in the windings of the rotor, in a manner similar to currents induced in a transformer’s secondary winding(s). The currents in the rotor windings in turn create magnetic fields in the rotor that react against the stator field. Due to Lenz’s Law, the direction of the magnetic field created will be such as to oppose the change in current through the rotor windings. The cause of induced current in the rotor windings is the rotating stator magnetic field, so to oppose the change in rotor-winding currents the rotor will start to rotate in the direction of the rotating stator magnetic field. The rotor accelerates until the magnitude of induced rotor current and torque balances the applied load. Since rotation at synchronous speed would result in no induced rotor current, an induction motor always operates slower than synchronous speed. For rotor currents to be induced, the speed of the physical rotor must be lower than that of the stator’s rotating magnetic field ( ); otherwise the magnetic field would not be moving relative to the rotor conductors and no currents would be induced. Synchronous speed An AC motor’s synchronous speed, , is the rotation rate of the stator’s magnetic field, which is expressed in revolutions per minute as (RPM), Where is the motor supply’s frequency in hertz and is the number of magnetic poles. That is, for a six-pole three-phase motor with three pole-pairs set 120° apart, equals 6 and equals 1,000 RPM and 1,200 RPM respectively for 50 Hz and 60 Hz supply systems. 2.2 Working Principle of Single Phase Induction Motor The Single-phase induction motor’s main winding is supplied with a single-phase AC. This produces fluctuating magnetic flux around the rotor. This means as the direction of the AC changes, the direction of the generated magnetic field changes. This is not enough condition to cause rotation of the rotor. Here the principle of double-revolving field theory is applied. According to the double-revolving field theory, a single alternating field is due to the combination of two fields of equal magnitude but revolving in the opposite direction. The magnitude of these two fields is equal to half the magnitude of the alternating field. This means that when AC is applied, two half-magnitude fields are produced with equal magnitudes but revolving in opposite directions. So, now there is a current flowing in the stator and magnetic field revolving on the rotor, thus Faraday’s law of electromagnetic induction acts on the rotor. According to this law, the revolving magnetic fields produce electricity in the rotor which generates the force that can rotate the rotor. 2.3 Starting Methods of Single Phase Induction Motor Single -phase induction motor doesn’t have starting torque, so external circuitry is needed to provide this starting torque. The stator of these motors contains Auxiliary winding for this purpose. The Auxiliary winding is connected in parallel to a capacitor. When the capacitor is turned on, similar to main winding, revolving two magnetic fields of the same magnitude but opposite direction are observed on Auxiliary winding. From these two magnetic fields of Auxiliary winding, one cancel outs one of the magnetic fields of main winding whereas the other adds up with another magnetic field of main winding. Thus, resulting in a single revolving magnetic field with high magnitude. This produces force in one direction, hence rotating the rotor. Once the rotor starts rotating it rotates even if the capacitor is turned off. There are different stating methods of single-phase induction motors. Usually, these motors are chosen based on their starting methods. These methods can be classified as; Split-phase starting. Shaded-pole starting. Repulsion motor starting Reluctance starting. In the split -phase starts, the stator has two types of windings – main winding and Auxiliary winding, connected in parallel. Motors with this type of starting methods are; Resistor split -phase motors. Capacitor split -phase motors. Capacitors start and run motors. Capacitor-run motor. 2.3 Power factor of an induction motor The power factor of induction motors varies with load, typically from around 0.85 or 0.90 at full load to as low as about 0.20 at no-load, due to stator and rotor leakage and magnetizing reactances. Power factor can be improved by connecting capacitors either on an individual motor basis or, by preference, on a common bus covering several motors. For economic and other considerations, power systems are rarely power factor corrected to unity power factor (Jordan, 2004). Power capacitor application with harmonic currents requires power system analysis to avoid harmonic resonance between capacitors and transformer and circuit reactances (Fink, 2008). Common bus power factor correction is recommended to minimize resonant risk and to simplify power system analysis. The only possible source of excitation in an induction machine is the stator input. The induction motor therefore must be operate at a lagging power factor. The power factor is very low at no load and increases to about 85 to 90 percent at full load in an induction motor. The improvement being caused by the increased real-power requirements with increasing load. The presence of air-gap between the stator and rotor will greatly increases the reluctance of the magnetic circuit of an induction motor (Liang, 2011). Also an induction motor draws a large magnetizing current (Im) to produce the required flux in the air-gap. i. At no load condition, an induction motor draws a large magnetizing current and a small active component to meet the no-load losses. Thus, the induction motor takes a high no-load current lagging the applied voltage by a large angle. Hence the power factor of an induction motor on no load is very low, it may about 0.1 lagging. ii. When an induction motor is at loaded condition, the active component of current will increases while the magnetizing component remains about the same. Also the power factor of the motor is increased. Because of the large value of magnetizing current, which is present regardless of load, the power factor of an induction motor even at full load exceeds 0.9 lagging. Induction machine may become self-excited when a sufficiently heavy capacitive load is present in their stator circuits. Then the capacitive current furnishes the excitation and cause serious overvoltage or excessive transient torques. Current components of an induction motor The magnetizing current is the current that establishes the flux in the iron and it becomes very necessary if the motor is going to operate. The magnetizing current does not contribute to the actual work output of the motor. The magnetizing current and the leakage reactance can be considered as the passenger components of current that will not affect the power drawn by the motor. But it will contribute to the power dissipated in the supply and distribution system. Current components after adding capacitor current In reducing the losses in the distribution system, power factor correction is added to neutralize a portion of the magnetizing current of the motor. The corrected power factor will be 0.92 - 0.95 some power retailers offer incentives for operating with a power factor of better than 0.9, while others penalize consumers with a poor power factor. The net result is that in order to reduce wasted energy in the distribution system. Thus the consumer will be encouraged to apply power factor correction methods. 2.4 Construction of Single Phase Induction Motor Single phase induction motor is very simple and robust in construction. The stator carries a distributed winding in the slots cut around the inner periphery. The stator conductors have low resistance and they are winding called Starting winding is also mounted on the stator. This winding has high resistance and its embedded deep inside the stator slots. The rotor is invariably of the squirrel cage type. The auxiliary winding has a centrifugal switch in series with it. The function of the switch is to cut off the starting winding, when the rotor has accelerated to about 75% of its rated speed. In capacitor-start motors, an electrolytic capacitor of suitable capacitance value is also incorporated in the starting winding circuit. The main stator winding and auxiliary (or starting) winding are joined in parallel, and the polarity of only the starting winding can be reversed. This is necessary for changing the direction of rotation of the rotor. A 1-phase induction motor is similar to a 3-phase squirrel cage induction motor in physical appearance. The rotor is same as that employed in 3-phase squirrel cage induction motor. There is uniform air gap between stator and rotor but no electrical connection between them. Although single phase induction motor is more simple in construction and is cheaper than a 3-phase induction motor of the same frame size, it is less efficient and it operates at lower power factor. CHAPTER 3 3.1 Introduction This chapter focuses on the method and processes applied in actualizing this project work, the materials used and the detailed report of the system. It also relates to the principle, methods or set of arrangement of used to actualize the project. 3.2 Methodology This involves the tools or steps taken to conduct this research which includes survey, and analytical. Survey method was based on attaining the cost price of the materials used while the analytical method analyzed the system so as to achieve the objectives of the project 3.3 Single-phase induction motors The development of a rotating field in an induction machine requires a set of currents displaced in phase (as shown in the figure) flowing in a set of stator windings that are displaced around the stator periphery (Mera, 2012). While this is straightforward where a three-phase supply is available, most commercial and domestic supplies are only of a single phase, typically with a voltage of 120 or 240 volts. There are several ways in which the necessary revolving field can be produced from this single-phase supply. A single phase induction motor consists of a single phase winding on the stator and a cage winding on the rotor. When a 1 phase supply is connected to the stator winding, a pulsating magnetic field is produced. In the pulsating field, the rotor does not rotate due to inertia. Therefore a single phase induction motor is not selfstarting and requires some particular starting means. Two theories have been suggested to find the performance of a single phase induction motor. To produce a rotating field, consider two winding 'A' and 'B' so displaced that they produce magnetic field 90° apart in space. The resultant of these two fields is a rotating magnetic field of constant magnitudeϕm. Non-Uniform magnetic field produces a non-uniform torque which makes the operation of the motor noisy, affect starting torque. Production of the uniform magnetic field Single-phase inductive load equivalent circuits: a – accounting for copper loss; b, c – accounting for both copper and eddy current iron 3.4 Efficiency Full-load motor efficiency is around 85–97%, related motor losses being broken down roughly as follows: Friction and windage, 5–15% Iron or core losses, 15–25% Stator losses, 25–40% Rotor losses, 15–25% Stray load losses, 10–20%. For an electric motor, the efficiency, represented by the Greek letter Eta, is defined as the quotient of the output mechanical power and the input electric power, and calculated using this formula: Various regulatory authorities in many countries have introduced and implemented legislation to encourage the manufacture and use of higher efficiency electric motors. There is existing and forthcoming legislation regarding the future mandatory use of premium-efficiency induction-type motors in defined equipment. 3.5 Equivalent Circuit The equivalent circuit of a single phase induction motor can be developed on the basis of two revolving field theory. To develop the equivalent circuit it is necessary to consider standstill or blocked rotor conditions. The motor with a blocked rotor merely acts like a transformer with its secondary short circuited and its equivalent circuit will be as shown in figure below, (a) Em being e.m.f. induced in the stator. Equivalent Circuit of a Single Phase Induction Motor The motor may now be viewed from the point of view of the two revolving field theory. The two flux components induce e.m.f. Emf and Emb in the respective stator winding. Since at standstill the two oppositely rotating fields are of same strength, the magnetizing and rotor impedances are divided into two equals halves connected in series as shown in figure above. Equivalent Circuit of Single Phase Induction Motor at Standstill on the basis of Two Revolving Field Theory When the rotor runs at speed N with respect to forward field, the slip is S w.r.t. forward field and (2-S) w.r.t. backward field and the equivalent circuit is as shown in below. Equivalent Circuit of a Single Phase Induction Motor Under Normal Operating Conditions If the core losses are neglected the equivalent circuit is modified as shown in fig:1.6(d). The core losses, here, are handled as rotational losses and subtracted from the power converted into mechanical power; the amount of error thus introduced is relatively small. Approximate Equivalent Circuit of a Single Phase Induction Motor Under Normal Operating Conditions CHAPTER 4 TESTING AND RESULTS 4.1 Testing of single phase induction motor The need for estimating the performance of the machine can be done by two methods namely; 1. Direct method (for smaller rated machine) and 2. Indirect method (higher rated machine). Direct method (LOAD TEST) PROCEDURE: The connections are made, as per the circuit diagram. With no mechanical loading on the motor, it is started by using the starter provided. The motor will be running with a small slip, very near to the synchronous speed. The readings of the ammeter IL, line voltage applied VL, speed "N" in r.p.m., and power drawn from supply WL are noted. The belt is slowly tightened against the brake drum. Now the readings of the spring balances, S1 and S2 in kg, are noted, in addition to the readings mentioned earlier. The loading is increased in convenient steps until 110% of rated current is reached. The readings taken for each loading are tabulated. Gradually decrease the load and after removing the entire load, stop the motor. The effective radius “R” of the brake drum is measured. CALCULATION: Frequency = F = 50Hz Synchronous speed = Ns = -------------- rpm Speed at the load = N =-------------rpm Per unit slip = S = (Ns - N) / Ns Radius of the brake drum = r =--------------meter Thickness of the belt = t = -----------meter Mechanical Power output = Po = 2 NT / 60 Watts. Torque Output of Motor = T = (S1 - S2) x (Reff) x 9.81 NM Effective radius of the brake drum = Reff = r + t/2 = --------------meter Electrical Power input to motor = Pi = WL = ---------------wat Indirect Method of Testing In indirect method, two special tests were conducted, based on the test result, equivalent circuit was constructed and performance of motor was analysed. Blocked Rotor Test Connections are given as per circuit diagram. The motor should not be allowed to run by tightening the belt around the break drum. Now using auto transformer apply single phase A.C supply is applied, until the ammeter shows the rated current. No Load Test Connections are given as per circuit diagram. Dpst switch is closed and 1phase A.C supply is applied to the motor, through the variac rated voltage is applied Note down the meter reading and tabulate it 4.2 Result A single phase induction motor consists of a single phase winding on the stator and a cage winding on the rotor. When a phase supply is connected to the stator winding, a pulsating magnetic field is produced. In the pulsating field, the rotor does not rotate due to inertia. Therefore a single phase induction motor is not self-starting and requires some particular starting means. Single phase induction motor is very simple and robust in construction. The stator carries a distributed winding in the slots cut around the inner periphery. The stator conductors have low resistance and they are winding called Starting winding is also mounted on the stator. This winding has high resistance and its embedded deep inside the stator slots. The rotor is invariably of the squirrel cage type. The auxiliary winding has a centrifugal switch in series with it. The function of the switch is to cut off the starting winding, when the rotor has accelerated to about 75% of its rated speed. In capacitor-start motors, an electrolytic capacitor of suitable capacitance value is also incorporated in the starting winding circuit. The main stator winding and auxiliary (or starting) winding are joined in parallel, and the polarity of only the starting winding can be reversed. This is necessary for changing the direction of rotation of the rotor. CHAPTER 5 CONCLUSION AND RECOMMENDATION 5.1 Conclusion The project presented a design and analysis approach for singlephase induction load mainly from a construction perspective. Single-phase a.c supply is commonly used for lighting purpose in shops, offices, houses, schools etc..Hence instead of d.c motors, the motors which work on single-phase a.c. supply are popularly used. These a.c motors are called single-phase induction motors. A large no. of domestic applications use single-phase induction motors. The values of the power factor gotten are close to the standard power factor of the load. However, due to human errors the accuracy might be affected. Standard industrial frame sizes were taken into account, and also, some strict constraints were set to meet higher efficiency applications. Several combinations for stator/rotor slots were investigated. Different types of testing were carried out so as to achieve desired output. 5.2 Recommendation Through this project, it is recommended that; 1. The Numerical Machine Complex initiates the process of designing and constructing local made single phase induction loads. 2. Companies should invest in assembling the necessary machines for the construction process. 3. Also, companies personnel for should the equally purpose invest in training of cementing a her better understanding of the construction process, and to ensure high quality products. REFERENCES Abdul-Karim, M., Boghosian, D. (2002) Digital power factor design based on binary rate multiplicatio techniques. 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Premium Efficiency Motor Selection and Application Guide: A Handbook for Industry. prepared for the U.S. Department of Energy Efficiency and Renewable Energy, Advanced Manufacturing Office, DOE/GO-102014-4107; February 2014. FOR PROJECT HELP Email: julietmokwugwo5@gmail.com WhatsApp: +2349014886512