One single-phase wattmeter plus miscellaneous apparatus as needed . Example: Input Power Calculation An existing motor is identified as a 40-hp, 1800 rpm unit with an open drip-proof enclosure. For this example, refer to the motor equivalent circuit and calculations described above. Where does the power go? Select number of stator slots 5. The magnitude of rotor current in LOCKED ROTOR TEST The locked rotor test, like short circuit test on a transformer, provides the information about leakage impedances and rotor resistance. Since the load is running at rated motor speed Example With Calculations. Yoke is outer & stationary part, similarly the outer portion of the induction motor is known as stator. Calculate the speed of motor. The most widespread version of this law states that the induced electromotive force in any closed circuit is equal to the rate of change of the magnetic flux enclosed by the circuit: E = d B d t {displaystyle {mathcal {E}}=- { {dPhi _ {mathrm {B} }} over dt} } , where. E {displaystyle {mathcal {E}}} 2. No load and Blocked rotor test on three phase induction motor to draw (i) equivalent circuit and (ii) circle diagram. Totally enclosed induction motors are fit for such demanding applications (Figure 1.11). Motor calculation steps: The following steps adhere to article 430 of the NEC. Mining applications (hoists, trains, conveyors, etc.) b. Motor sheave = Existing Motor sheave Dia. The induction motor stator resembles the stator of a revolving field, three phase alternator. The efficiency of the motor is a ratio of the real output power kWdivided by the real input power kW multiplied by 100%. 1. For a single phase induction motor the input power is equal to ( current multiplied by voltage multiplied by the power fact Check that the Motor can start the load and get it up to speed. Overloads = name plate full load current times either 115% or 125% depending on S.F. They are the most commonly used electric machines. 11. To determine the percentage slip, rotor copper loss, rotor output, and efficiency of the motor, perform the following function: Because of the above said advantages, induction motors are predominantly used in many industrial applications. 3-Phase Induction Motors 21 b. Squirrel Cage Motors 22 c. Wound Rotor Induction Motor 25 d. Single Phase Induction Motors 27 e. Split Phase Motors 30 f. Capacitor Motors 31 such as calculation of torque and horsepower. Let . The full load is usually varies between 0.82 and 0.93. the starting current when For calculations involving starting values, the rotor is assumed to be stationary so that s = 1. Induction Motor Testing The No-Load Test: to obtain the rotational losses and information leading to magnetizing reactance. The derivation of the dynamic equations, describing the motor is explained. The parameters of the motor equivalent diagram are established from fig-ure 1, using [2] or [5]. One Phase Sequence Indicator . We are looking for the smallest heater/overload size allowed for motor #2 on motor diagram #1. Since The What is the minimum size overloads required for motor #2 on motor diagram #1 ? Example 1: A 460 -V, 25-hp, 60-Hz, four-pole, Y-connected wound-rotor induction motor has the following and complete calculations are shown below. Maximum efficiency occurs at At time of starting, the voltage induced in the induction motor rotor is maximum because slip is maximum (S = 1). 7. Three-phase induction motors are also called asynchronous motors. than a 3-phase induction motor of the same frame size, it is less efficient and it operates at lower power factor. Standard AC Motors The speed of Induction Motors and Reversible Motors vary with the size of the load torque. Less slots: 1)less cost 2) less space lost due to insulation and slot opening; More slots: 1) smaller leakage inductance and larger breakdown torque 2) small MMF harmonics 3) better cooling Typically, stator teeth width between and 1, ratio of slot The induction motor mainly divided in to two parts. The importance of starting time lies in determining the duration of 5. Determine (a.) The calculations are demonstrated on a numerical example. in rotor. m = Mechanical shaft speed. SPEED CONTROL OF INDUCTION MOTORS The speed of an induction motor is given as N = 120f/p (1-S). Induction Motor Slip Calculator Slip speed is the speed difference between the Synchronous speed and Rotor speed. Slip speed = Synchronous speed Rotor speed = Ns -N . Determine the motor parameters and the total core, friction and windage losses. Induction motors are extensively used in marine environments for pumps, Pole changing 2. II. Calculate its slip. Specific emphasis will be given to pump applications.
25 How does the external resistance of slip-ring induction motor influence the motor performance. or KW as shown already, ns is the given specification. Retardation test on dc shunt motor. So, the selection should be made between the rated speed and the synchronous speed. However, the reader Speed control of dc shunt motor by armature and field control. The part of rotating magnetic field which reacts with rotor and is responsible to produce induced e.m.f. ASICS OFB INDUCTION MOTOR The basic operation of induction motor is similar to transformer, where the stator acts as the primary side of transformer and the rotor as secondary of transformer as shown in figure 1. speed motors. Induction Motors: Construction, Principle of Operation, Power and Torque Calculations, Characteristics and Speed Control June 2020 DOI: 10.13140/RG.2.2.15490.71360 the rated motor torque (power) and ideally greater than 75% of rated motor torque (power). the motor Decreases the starting current 3. Swinburne's Test on dc motor. Let a single phase a.c. source be Draw the approximate equivalent circuit for the motor Lock-rotor No-load DC Test V line = 36.2 V 460.0 V V dc The steps cover motor full load currents, branch circuit General Electric squirrel cage induction motor Rated at: 5 HP 3-phase motor with SF 1.15 230/460 V 12.4/6.2 Amp nameplate current. 3. Solution: Rotor speed = m = 1200 r/min. Motor operated at rated voltage and no load. The motor takes 50 kW at 960 rpm for a certain load. Starting methods of Induction motor include: Direct On line (DOL) starters for less than 10 Kw motors. StarDelta starters for large motors. The stator winding is initially connected in a star configuration and later on changed over to a Delta connection, when the motor reaches rated speed. Auto transformer. Standard AC Motors The speed of Induction Motors and Reversible Motors vary with the size of the load torque. induction motor has been an industry workhorse for electro-mechanical conversion for over 100 years. (b) the resulting equivalent circuit. AC Motor::: An AC motor is an electric motor driven by an alternating current (AC). induction motor has the following equivalent circuit parameters: Rw1 = 0.25S Rw2N = 0.2S Xl1 = Xl2N = 0.5S Xm1 = 30S The rotational losses are 1700W. So, the selection should be made between the rated speed and the synchronous speed. Also induction motors are able to operate in dirty and explosive environments. The first type is the induction motor or asynchronous motor: 3.In case of single phase induction motors, the stator winding 3-Phase Induction Motor (Power Calculations) 1- A 20hp, 3-phase, 500 V, 50 Hz, induction motor with 6 poles runs at 950 rpm with power factor of 0.86 lagging. The above expression for rotor current can be squared and substituted into the torque equation . Determining the Operating Regime of the Induction Motors Determination of the induction motors operating regimes is done on each cal-culation iteration of the system load flow. 6. 4. But induction motors were used only for applications requiring constant speed. 3. Select number of stator slots and suitable three phase winding layout (experience). First Example: Constant speed operation at rated speed but with variable torque eg Induction motor running at constant speed. The stator or the stationary part consists of three phase winding held in place in the slots of a laminated steel core which is enclosed and supported by a cast iron or a steel frame as shown in Fig: 3.1(a). 3-phase induction motor formulas pdf The torque produced in the induction motor depends on the following factors :1. 2 . Assume stator losses of 1 kW and friction and windage loss of 1.5 kW. The electric energy generated purchased by consumers for different needs. 28 Figure 6-53 The no-load test of an induction motor. Measure the voltage and power to the phase. At each point selected for calculation, the efficiency of the motor is the mechanical power output divided by the electrical power input. The synchronous speed of an induction motor depends on the frequency of the power supply and on the number of poles for which the motor is wound. (a) test circuit. The transformation theory, which simplifies the analysis of the induction motor, is discussed. We normally assume full pitched winding thus Kw = 0.966. A set of typical arrangements is shown below: Figure 1: Induction motor with stator and rotor (1) Figure 2: Distributed winding inside stator Figure 3: Rotor of induction motor with slip-rings (2) In this chapter, the development of the model of a three-phase induction motor is examined starting with how the induction motor operates. 50 Hz, 3 phase induction motor runs at 960 rpm when the torque on the shaft is 200 N.m. 8. Basics of Induction Motor The basic operation of induction motor is similar to transformer, where the stator acts as the primary side of transformer and the rotor as secondary of transformer as shown in Figure 1. So obviously the speed of an induction motor can be controlled by varying any of three factors namely supply frequency f, number of pole P or slip S. The main methods employed for speed control of induction motors are as follows: 1. In the above circuit, the calculation of rotor current is greatly simplified . It usually contains the primary winding. Motor Slip. calculation and MATLAB result of motor starting time [3]. Calculate slip and frequency of rotor-induced EMF? Regenerative test on dc shunt machines. LR S and be the angular velocities of the magnetic field (line frequency), rotor, and slip rspectively. induction motor with a rated current of 57.8 A. INTRODUCTION Load test on three phase induction motor. Calculation: The rotor speed of a 4 pole induction motor at 50 Hz is 1200 r/min. The locked -rotor test is made at 15 Hz to minimize the errors due to saturation and skin effects. Where sync = 120 * 50 / 4 = 1500 r/min. Motor Formulas V = Volts A = Amperes R = Ohms P = Watts PF = Power factor (Motor) Eff = Efficiency (Motor) HP = Horsepower BHP = Break Horsepower (Motor) r = running np = nameplate Max. A 3hp, three phase, 4-pole, 400V, 50Hz, induction motor runs at 1440rpm.
An Induction motor has basically two parts Stator and Rotor . (1) Stator (2) Rotor In case of D. C. Motor basically it is divided into two main parts (i) Yoke (ii) Armature. 2. The slope of the induction motors mmf-flux curve is much shallower than the curve of a good transformer. To make this calculation, its generally best to ap- This energy is Conversion to mechanical power by motors (pumps, fans, HVAC, refrigeration compressors, power A 3-phase, Y connected, 460 volt (line to line), 25 horsepower, 60 Hz, 8 pole induction motor has the following constants, in ohms per phase referred to the stator: R1 = 0.342 X1 = 0.561 Z1 = 0.342 + j0.561 R2 = 0.164 X2 = 0.265 Once again, a sample table for motor 1624E009S is shown in Table 1. and a sample curve in Graph 1. The input impedance seen by the source V1 The motor operating regime is calculated as follows: a. X ExsistingEstimatedBHP Max.BHP 3 Ohm's Law: V=AR R V A = A V R = Single Phase: P=V A PF If the stator losses are 1500 W and friction and windage losses are 500 W, find: This tutorial will introduce the user to the fundamental electrical and mechanical principles of AC electric induction motor design and application. It is also stationary part of the induction motor. This paper presents the starting time calculation for a squirrel cage induction motor. Rotor is at the stand still, while low voltage is applied to stator windings to circulate rated current. cause damage to induction motors unless they are properly designed and built. 3-Phase Induction Motors EE 340 . Increases the starting torque 2. Induction Motor Equations ENGN1931F Spring 2019 . have the right motor for your application HOW TO SIZE A MOTOR 2 ANSWERS Load inertia The number one calculation to make when sizing a motor for a rotary application is the calculation of the load inertia. Initial Data . Used to control the speed of rotor. Ans : Slip = 0.04 and fr = 2Hz 2. The more ac-curately this can be calculated, the better. Stator: The part of an AC induction motor's magnetic structure, which does not rotate. Consider a single phase induction motor whose rotor is at rest. CALCULATION OF MAIN DIMENSIONS The output equation can be written as [1.11 ( )(10 )]D232 KVA K B ac Ln wav s KVA is obtained from H.P. e For convenience we assumeat 0, 0 and =0t that t = = and therefore PEAK = = L R S tt t. The flux in the single-turn coil on the rotor surface is External resistance connected to slip-ring and 1. are somewhat similar.
Slip of a motor can be found from the formula: s = ( sync - m )/ sync * 100. sync = Speed of magnetic field. This is because there must be an air gap in an induction motor, which greatly increases the reluctance of the flux path and thus reduces the coupling between primary and secondary windings. One 208 Volt, 0.75 HP, 3-phase induction motor . current and the applied voltage is the power input to the motor. 1.5 WORKING OF SINGLE-PHASE INDUCTION MOTOR: A single phase induction motor is inherently not self-staring can be shown easily. Types of AC Motor::: [depending on the type of rotor used] 1. spins a mechanical load at 1778 RPM. Consider a three-phase 440 V, 50 Hz, six-pole induction motor. The motor parameters given in ohms refered to the stator are: R 1 = 0.18 R 2 = 0.20 X 1 = 1.15 X 2 = 1.23 X M = 40 R fe = 317 Total mechanical power losses (friction, windage and stray) are 170 W Find: a.) Record all nameplate information for the induction motor. 3. The frequency of rotor induced EMF of 400V, three phase, six pole induction motor is 2Hz. What is the minimum size overloads required for motor #2 on motor diagram #1 ? One dynamometer with torque controller .