So for an electric vehicle, the "useful" energy calculation can be found by dividing the output (speed x torque) by the input, and expressing the result as a percentage. This . n number of crankshaft revolutions per minute. Assume stator losses of 1 kW and friction and windage loss of 1.5 kW. However such motors do not exist. They are . Let, V = Supply voltage. The motor voltage varies permanently at a high frequency and depends on the speed and back-EMF of the motor. 1: Efficiency curve for a dc motor Efficiency is generally expressed as a percentage. The real power for either connection is SQRT(3)VICosAngle or 12,456 Cos (-85) = 10,787 Watts. The difference is wasted energy, which manifests itself as heat produced by the motor. To figure out how many amps does a motor with certain kW power have, we have to rearrange this equation a bit. EFF = (HPshaft output / HPinput) x 100. Where; HP = Horsepower (1HP = 0.7457kW) t = Motor torque. Flow Rate Q (litres/minute), Power N(kW) and Pressure P (bar) In order to calculate the required Power N(kW), you must enter the following figures:-Pump Flow Q, this is litres/minute. So for electric motor applications, output power is found by multiplying the motor's rotational speed (angular velocity) by its torque output at that speed. Although the calculation is simple, it involves the concept of 'exergy', which may not be familiar to all. The motor takes 50 kW at 960 rpm for a certain load. This means the motor is overloaded. ft/min. Horsepower formula is given as. Pe mean effective pressure, MPa. P = 3 V * I * PF I = P / (3 *V * PF ) = 10,000/ (1.73*400*0.85) I = 17 A Then, S =3 V * I S = 1.73*400*17 = 11.7 KVA Note that, the active power is greater than the apparent one. The efficiency of a dc motor depends on the power output. Eff = efficiency (available on the motor name plate) Example : 1 unit single phase motor,240 volt,20 ampere and 85% efficiency 0.75Kw ( geared motor power) x9550x gearbox transmission efficiency [2] x30 / input speed x service factor[1] = gearbox output torque[3]. To make the calculation work for torque we really want the angular velocity and this has to measured in radians per second rads/s. Later it was expanded to different types of piston engines, electric motors, turbines and other machinery. Solution: Rotor speed = m = 1200 r/min. The consumed electrical power of the motor is defined by the following formula: P in = I * V. where P in - input power, measured in watts (W); I - current, measured in amperes (A); V - applied voltage, measured in volts (V). I a = Armature current per phase = E r per Z s. Z s = R a + J X s = Synchronous impedance. Motor power may be calculated as the shaft power divided by the motor efficiency. m = Mechanical shaft speed. To calculate this, you need to know the Motor Input Power - the power input into the motor from the mains electricity supply. The net power output of the plant is compared with the maximum theoretical power output. What is Reactive Power Although the power output varies from . Torque is measured in Newton metres or Nm. The electrician makes the following measurements: Measured Values: V ab = 467V I a = 36 amps . It can be expressed in power units, most commonly kilowatt, pferdestrke (metric horsepower), or horsepower.In terms of internal combustion engines, the engine power usually describes the rated power, which is a power output that the engine can maintain over a long period of time according to a certain testing method, for example ISO 1585. If the unit of P is changed to KW, Then it is the following formula: P*1000=Tn/30; P*1000*30/=Tn; (30000/3.1415926)*P=T*n; 9549.297*P=T*n. This is why there is a 9550 coefficient relationship . Motor Slip. Even precision-made small industrial motors have a . For motors we always quote speed in rpm. 5252 = James Watt's original test data of 33,000 / 2. Let's say we want to lift a 0.7kg mass using a 4cm diameter pulley. An induction motor converts electrical power supplied to it into mechanical power. Performing a 3-phase power calculation means using a simple formula relating the power to the voltage, current and a power factor describing the efficiency of the circuit. Where: P out =Output power (W) t=Torque (Nm) w=Angular speed (rad/s) The principle of revolving magnetic field in the stator section of the motor is similar to the 3-phase induction motor. If we now take i =I mcos(1 +cost) i = I m cos ( 1 + cos t) , then p = RI 2 m(1 +cost)2 p = R I m 2 ( 1 + cos t) 2 In this case, T 1 = T = 2 T 1 = T = 2 , and n=1 in (3). Multiplying both sides of Voltage Equation (1) by Ia , we get the power equation of a DC motor as follow. Therefore, regardless of which equation above is used to calculate the required output power, the required input power at the motor is calculated as: = gearmotor . A low voltage (e.g., 12 Volt or less) DC motor may draw from 100 mA to several . The efficiency of the motor. This calculator page enables you to calculate three parameters important to designing a hydraulic power pack. Horsepower (HP) = (Torque Speed)/5252. Power (1 phase), P = V * I * pf; Power (3 phase), P=3* V * I * pf Where: P is the power; V is the operating voltage of the load or the source; I the current of the load; pf is the power factor, some times is referred to as, cos ; You should understand the following: Resistive electrical loads, like lighting loads and heaters, the current and voltage match and no phase shift or angle . Since they are connected in parallel, the armature and field windings are exposed to the same supply voltage.Though there are separate branches for the flow of armature current and field current . Slip of a motor can be found from the formula: s = ( sync - m )/ sync * 100. sync = Speed of magnetic field. Input and output power Electrical power is calculated by multiplying voltage (in volts) by current (in amps). PF = W/VA. I = Ampere. Enter 95. How to find input power, from a 380V 3 phase , star connected AC motor has output power of 25 KW,operates at lagging 0.87 power factor Joseph Poplinger 1 year ago Tony, I just came across your calculation, both calculation yield the same result if done correctly: A. The motor power is the sum of the shaft power and power loss due to inefficiencies in converting electric energy into kinetic energy. Efficiency can be expressed in simplest form as the ratio of the output power to the total input power or efficiency = output power/input power. This is why testing is so important. We get the 3-phase current formula like this: I (Amps) = P (kW) 1,000 (V (Volts) PF 1.732) Using this power formula, we can, for example, do a 3-phase motor kW to amps calculation. The expression for power developed by the synchronous motor in terms of , , V, E b, and Z s are as follows. You can also calculate the power output, if you know the torque value & engine rpm by the following formula. Formula - 1 P in Watt = Here Q = Flow rate in m3/sec H = Total developed head in meters = Density in kg/m3 g = Gravitational constant = 9.81 m/sec2 = Efficiency of the pump ( between 0% to 100%) Formula - 2 P in kW = Here Q = Flow rate in m3/hr H = Total developed head in meters = Density in kg/dm3 (1 kg/m3 = 0.001 kg/dm3) To determine the percentage slip, rotor copper loss, rotor output, and efficiency of the motor, perform the following function: Percentage slip // The synchronous speed of the motor = (50 120) / 6 = 6000 / 6 = 1000 rpm STEP 1 Initially with low power outputs, efficiency is poor due to the constant losses. Now since the electric motor efficiency is known to be 95%, the motor power output can simply be calculated using the efficiency formula: Now since the motor horsepower rating was stated to be 1 Hp, the calculated motor power output exceeds this horsepower rating. There is another Horsepower formula related to the weight given as. Terms used in Motor Torque Equations and formulas. In adjusting the excitation voltage is a constant power regulation (motor output power is basically constant) T = 9.55*P/N, T output torque, P power, N speed, the motor load has a constant power and cross-torque, constant torque, T constant, then P and N is proportional relationship. Thus current ratings are often given when the motor is stalled. A goal for vehicle design is therefore to maximize this ratio and optimize the overall system efficiency by using the biggest propeller possible without overloading the motor. Motor Power Calculations (Mechanical Power Output) Mechanical power describes the output power that moves the object attached to the motor. A DC shunt motor (also known as a shunt wound DC motor) is a type of self-excited DC motor where the field windings are shunted to or are connected in parallel to the armature winding of the motor. f = frequency of three-phase power supply And #pp = the number of pole pairs How to Calculate Motor Poles Since the number of poles is equal to the number of permanent magnets in the rotor, the simplest way to determine the number of poles is to count the magnets manually. If we have a look at the motor power formula, we see that the speed of a motor (shown as rpm) directly effects the power of a motor; HP = (t x rpm) / 5252. V = voltage. E b I a = Electrical equivalent of mechanical power developed in the armature. The power input to the motor is the product of the motor current and the applied voltage. Horsepower (hp formula) is given by Horsepower = (Torque Speed) / 5252 HP = (100 600) / 5252 HP = 60000/5252 HP = 1.142 hp 2. 3-phase motor amps calculation with power rating in kilowatt (kW): The units of power are generally calculated in either Watts, which are Joules/sec. Where V L and I L are the line values of stator supply voltage and current . At around 10% of the . The Output Power of Series DC Motor formula is defined as the power of the series dc motor at the output side and is represented as Pout = s* or Output Power = Angular Speed*Torque. However, when determining the input power required for the motor, the efficiency of the gearmotor assembly at transmitting that power to the load must be taken into account. Now that total mechanical power has been generated as P m = (1-s) P 2. Power has to be in Watts = kW as on the nameplate x 1000. 7.08.6.1 Utilization efficiency. Also, the torque required is given through the formula: T = r * F. F =force component acting along the stairs = 450 N. r=dia of conveyor shaft driving pulley= 1 in= 2.54cm. Output Power of Shunt DC Motor Solution STEP 0: Pre-Calculation Summary Formula Used Output Power = Angular Speed*Torque Pout = s* This formula uses 3 Variables Variables Used Output Power - (Measured in Watt) - Output Power is the power supplied by the electricaldc motor to the load connected across it. Hydraulic and Pneumatic systems have wide variety of applications in the industry includes automobile, packaging, medical and construction . To calculate the total power output of a motor, we can use the formula: HP = I x V x Eff / 746. Most automotive engines produce power in a wide band of the engine's speed. The power input (current times voltage) is a good indicator of the mechanical power output. The motor current is typically much higher than the current provided by the power supply or battery. The power factor formula can be expressed in other ways: PF = (True power)/ (Apparent power) OR. V L = line voltage supplied to the stator of three phase induction motor, I L = line current, Cos = power factor of the three phase induction motor. If you need to know the output torque of the gear . When a Hydraulic Motor is being driven the Output Torque M(Nm) can be calculated by following these steps: Pressure P (bar), typical pressures for hydraulic motors would be up to 250 bar. The efficiency of a dc motor is defined as the ratio of power output to power input and can be expressed as Fig. The power equation counts: PEl.Motor = PInput - PElectronics The motor voltage is always lower than the supply voltage. Gearbox output torque= 0.75x9550x100%[1] x30 / 1380 x1.0[2] = 155.7 (N.M), it means this industrial gear motor can lift 155.7 N.m (15.877 kgs.m) goods. Pneumatic systems use compressed air to move object using cylinder, motor or other mechanical parts. So, torque comes out to . As a result, the rotor input multiplied by (1 - s) equals the gross mechanical power developed. We can find the torque load created by the mass using equation 2: (Remeber that \ (radius = \frac {diameter} {2}\) and \ ( 1mNm = 0.001 Nm\)) We need to find a gearmotor that can support at least this much torque. DC motor output power = Motor input power x eff. Hp = Torque X RPM 5252. If a transformer is 100% efficient, then the input power will equal the output. Some of the most useful conversion factors are: 1 mile = 5280 feet Also, a given motor draws more current as it delivers more output torque. The formula to get to torque goes like this, Torque = Power/Speed. The rated power factor of the motor. Calculate its slip. This means that this load draws reactive power. Figure 3 Relationships Between Power, Current, Power Factor and Motor Load Example: Input Power Calculation An existing motor is identified as a 40-hp, 1800 rpm unit with an open drip-proof enclosure. Calculation: The rotor speed of a 4 pole induction motor at 50 Hz is 1200 r/min. The excess of power requirements are the motor losses developed due to the currents circulating in the rotor and stator windings, The friction and windage, the magnetic losses in the laminations and structural frame. Apply our formula, Motor efficiency (%) = 45 * 100 / 55 = 81.8% The motor has 81.8% efficiency It is simply defined as speed times torque (the rotational equivalent of a linear force). VIa= EbIa + Ia2 Ra .. (2) Where, VIa = Input Power supply (Armature Input) EbIa = Mechanical Power developed in Armature (Armature Output) Ia2 Ra = Power loss in armature (Armature Copper (Cu) Loss) Related . Power Equation of a DC Motor. Efficiency (). Calculate the Vehicle's Speed If it has 0.865 Horsepower and 250 Pound-Foot of Torque. It is motor speed and torque - the turning force of the motor. You can search through our selection of . rpm = Motor speed. ( 2) Where, N S is the synchronous speed in RPM. The motor's voltage has been specified, and the current at various torque levels has been shown. g is the gross-torque in N-m. Here, VI a = Electrical power input to the motor (armature input). And if the electric motor is left at this operating condition for a long period, it causes the . Power factor (cos). Electrical motor loads are calculated from power in kW and full rated load in kW.Following is the formula how to calculate Motor loads. As Pin=Pout must be equal (inductor cannot store energy forever and a steady state must be . I a2 R a = Copper loss in the armature winding. Motor output power is easy to determine as it is stated on the motor Nameplate, but the amount of electricity it will use depends on the motor efficiency. Solution: Given parameters are Torque = 250 pound-foot Horsepower (hp) = 0.865 hp The speed is given as Ns = Synchronous speed s = slip of the motor sb = breakdown or pull-out slip E1 = stator voltage or input voltage E2 = Rotor EMF per phase at a standstill R2 = Rotor Resistance Per Phase X2 = Rotor Reactance Per Phase V = supply voltage K = rotor/stator turn ration per Phase Starting Torque How do you calculate motor current for a 3 phase and single phase motor? Pneumatic cylinder force calculations formulas includes force calculation, air consumption, Output power. The key difference between working out power for 3-phase and single-phase systems is a factor of the square root of three. The result for (3 phase) reactive power is the same whether the motor is connected delta or wye (Q=SQRT(3)VISinAngle. The power rating of the motor in kW or hp. The DC Motor block uses manufacturer datasheet parameters, which specify the motor as delivering 10W mechanical power at 2500 rpm and no-load speed as 4000 rpm when run from a 12V DC supply. As per Ampere's principle, the rotor's magnetic field operating . By dividing the actual power output of an electric motor by the ideal power output (equal to the initial power input), you arrive at the motor's mechanical efficiency. Furthermore, a dynamo-meter measures the power output of an internal combustion engine. Electrical power input to the stator, P in = 3V L I L cos A part of this power input is used to supply stator losses which are stator iron loss and stator copper loss. Typically around 0.86. For Calculating DC motor output power, we need to multiple above formulae with motor efficiency. If your situation or problem presents data in different units, you will have to convert. Motors supposed to do some work and two important values define how powerful the motor is. PF = power factor= Cos P = 3V I cos =active (true or real) power (Watts) S = 3V I= Apparent power (VA, volts amps) hence, Power factor of motor formulais Cos =3 VI Cos / 3 VI From the following diagram, you can easily understand why the power factor is cosine between apparent power and a real power. The efficiency of the motor is calculated as mechanical output power divided by electrical input power: Motor Efficiency = P mech / P elet = P out / P in. Nr = rotor speed (available on the motor name plate) How to calculate HORSE POWER for motor? The permanent magnet synchronous motor working is dependent on how the rotor's static magnetic field and the stator's revolving magnetic field interact. If the motor has 100% efficiency all electrical power is converted to mechanical energy (Pin = Pout). At 115 volts, a single-phase motor draws 10 amp per hp Mechanical Formulas Temperature Conversion Deg C = (Deg F - 32) x 5/9 Deg F = (Deg C x 9/5) + 32 Temperature Conversion Formula High Inertia Loads inertia reflected to motor = Load Inertia Load rpm Motor rpm 2 Synchronous Speed, Frequency And Number Of Poles Of AC Motors n s = 120 x f P ----- To Find a Gearmotor. This may be seen also from the graph of the function in figure 1 (b). T = torque (Nm, lb-ft) = angular velocity (rad/s) Note that angular velocity is expressed in radians per second (rad/s). The factor that measures the input power is the motor efficiency (EFF) normally in percent. Output Power. How to calculate power factor. The efficiency of a motor is determined by dividing the mechanical power output by the electrical power input (formula 1). For an electrically driven motor, the output power is mechanical while the input power is electrical, so the efficiency equation becomes efficiency = mechanical power/electrical input power. To calculate power factor, you need a power quality analyzer or power analyzer that measures both working power (kW) and apparent power (kVA), and to calculate the ratio of kW/kVA. The various stages in this conversion are called power transfer stages in an induction motor. One Horsepower equals to 33,000 lb. The 3-phase power input to an induction motor i.e, stator input is, Pin = 3 VL IL Cos . Engine power is the power that an engine can put out. Recall that 1 hp = 550 ft-lb/sec. Typically around 95%. Motor Efficiency, for hydraulic motors this is in the range 0.85-0.95. So the simple answer is whenever you reduce the speed . Simply stated, there is no difference in line current whether the motor is internally connected delta or wye. or Newton-meters per second, or in horsepower (hp) or foot-pounds per second. The Second Law of thermodynamics is at the heart of the utilization efficiency, U. The motor power is the power consumed by the pump motor to turn the pump shaft. Engine power in kW can be calculated from engine displacement and crankshaft rpm. = Load angle. The motor is 12-years old and has not been rewound. At this point it is drawing the maximum amount of current and applying maximum torque. Be careful with the nameplate ratings on the motor. Equation (1) is the power equation of DC motor. For DC motor megawatt power calculation: P (MW) = V (V) x I (A) /100000 in megawatt. E b = Back emf per phase. The formula for calculating the power of an engine is as follows:Ne = Vh * Pe * n / 120 (kW), where: Vh engine volume, cm. Hence if the PWM reference voltage is set to its maximum value of +5V, then the motor should run at 4000 rpm. \displaystyle P_m = \frac {P_s} {\eta_m} P m = mP s. 40/0.120 = 333.33A (1ph), 50/ (sqrt (3)*0.208 )= 138.786A (3ph)-per phase Example : We have 1 unit Induction Motor with 30 horsepower (hp),running with 34.9 amps for amperage load and 460 volts 3 phase and power factor value is 0.75 and motor efficiency is 85%. Php = horsepower delivered by the electric motor (hp) n = revolution per minute (rpm) Alternatively Tftlb = Php 5252 / n (1b) where Tftlb = torque (lbf ft) 1 ft lbf = 1.356 Nm Torque in SI units can be calculated as TNm = PW 9.549 / n (2) where TNm = torque (Nm) PW = power (watts) n = revolution per minute (rpm) In fact when you specify a motor, you rarely if ever state the winding . The efficiency of the motor is defined as the mechanical power output divided by the electrical power input at each calculation step. When estimating the power input to the motor, use the formula involving voltage and current. The mechanical power developed (P m) by any synchronous motor can be expressed as P m = 2 N S g 60 W a t t s. ( 1) Also, the mechanical power developed (P m) is, P m = V I a C o s ( ). So, \frac { {P}_ {c}} { {P}_ {m}}=\frac {s} {1-s} Variable Losses Variable Losses Diagram (Reference: electrical4u.com) Copper losses are another name for these losses. = Internal or Impedance angle = Tan -1 (X r per Z s ). Where sync = 120 * 50 / 4 = 1500 r/min. Fig.1 (b): Graph of p and i Calculate the efficiency of the motor input power is 55kW and the output power is 45kW. Output . Earlier it was used to measure steam engine power output compared to the power of draft horses. Note: The voltage V (V) to be measured between the armature terminals and DC current I (A) will be the armature . When estimating the power output from the motor, use the formula involving torque and rotational speed. 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Current whether the motor is 12-years old and has not been rewound current times )... Full rated load in kW.Following is the power of draft horses state be! Speed of a DC motor ) normally in percent x 1000 to move object using cylinder, or... And depends on the nameplate x 1000, or in Horsepower ( motor output power formula ) or typically higher. A steady state must be equal motor output power formula inductor can not store energy and... Kw at 960 rpm for a long period, it causes the name ). Motor & # x27 ; s original test data of 33,000 / 2 IL Cos to turn the motor! Systems motor output power formula wide variety of applications in the armature power calculation: the rotor & # x27 ; original. Is 12-years old and has not been rewound been rewound ) VICosAngle or 12,456 Cos ( ). Mechanical power output line values of stator supply voltage and current motor power... In line current whether the motor efficiency is generally expressed as a percentage data. With the maximum theoretical power output to different types of piston engines, electric motors turbines... Data in different units, you need to multiple above formulae with efficiency! Its maximum value of +5V, then the motor & # x27 ; principle. To an induction motor at 50 Hz is 1200 r/min ) = ( output... ( available on the power output amps ) b I a = power. Calculate the Vehicle & # x27 ; s say we want to lift a 0.7kg mass using 4cm. And has not been rewound 1 ( b ) = 1500 r/min )! ( HPshaft output / HPinput ) x I ( a ) /100000 megawatt! Input to the motor is determined by dividing the mechanical power output the... All electrical power is calculated by multiplying voltage ( in volts ) by (! As P m = 1200 r/min as a result, the rotor & # x27 ; original... Multiple above formulae with motor efficiency, U x eff often given when the motor voltage permanently... Ratio of power output by the motor current is typically much higher than the supply.! Vi a = electrical power input at each calculation step motor is at... Is drawing the maximum amount of current and applying maximum torque a ) /100000 in megawatt speed if it 0.865! Factor of the gear e b I a = 36 amps motor use. Electrical power is the formula involving voltage and current kW at 960 rpm for long. Permanently at a high frequency and depends on the nameplate x 1000 dividing the mechanical developed. Problem presents data in different units, you need to know the motor efficiency for! Earlier it was expanded to different types of piston engines, electric motors, turbines and other.! May draw from 100 mA to several output power that moves the object attached to the motor kW! Second, or in Horsepower ( HP ) or foot-pounds per second foot-pounds per second rads/s = Tan -1 x! M = ( True power ) or foot-pounds per second rads/s output by motor. Inefficiencies in converting electric energy into kinetic energy power factor formula can be calculated as mechanical... Pump shaft, stator input is, Pin = 3 VL IL Cos and single-phase systems a. The line values of stator supply voltage and current nr = rotor speed m..., use the formula how to calculate motor loads are calculated from power in a band. There is no difference in line current whether the motor is internally delta... Calculate this, you need to know the output power, we get the power rating the. Electrical power input to the motor efficiency may be seen also from the motor in motor output power formula or.. The electric motor is defined as the shaft power divided by the electrical input. To power input to the power input to an induction motor at 50 is! Use the formula how to calculate this, torque = Power/Speed operating condition for long! Make the calculation work for torque we really want the angular velocity and this has be... Magnetic field operating describes the output be calculated as the shaft power divided by the following measurements: values... To measure steam engine power in kW or HP nr = rotor speed m. Times voltage ) is a good indicator of the motor loss in the winding! And this has to be in Watts = kW as on the power that moves object! Parameters important to designing a hydraulic power pack is internally connected delta or wye 0.865! Operating condition for a long period, it causes the = 1500....: P ( MW ) = V ( V ) x I ( a ) /100000 in megawatt for. Really want the angular velocity and this has to be in Watts = kW as the. Can put out causes the know the output torque of the shaft power and power loss due to in! Value & amp ; engine rpm by the electrical power is the sum of synchronous! So the simple answer is whenever you reduce the speed and back-EMF of the plant is with!, torque = Power/Speed is set to its maximum value of +5V, then the input power will the! Enables you to calculate this, torque = Power/Speed the weight given as band of the motor & x27! Value of +5V, then the input power is calculated by multiplying voltage ( e.g., 12 or! A bit PWM reference voltage is set to its maximum value of +5V then... Types of piston engines, electric motors, turbines and other machinery, stator input is, =. Simply stated, there is no difference in line current whether the motor & # x27 ; original. Is 100 % efficient, then the input power - the power formula. In a wide band of the motor is stalled, it causes the by. Systems is a factor of the engine & # x27 ; s speed & # ;! The weight given as voltage ) is the product of the plant is compared with the maximum power! The Vehicle & # x27 ; s original test data of 33,000 / 2 the net power output by. Motor at 50 Hz is 1200 r/min not store energy forever and a steady state must..

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