## Calculate TC Size & Voltage Drop due to starting of Large Motor

• Calculate Voltage drop in Transformer ,1000KVA,11/0.480KV,impedance 5.75%, due to starting of  300KW,460V,0.8 Power Factor, Motor code D(kva/hp).Motor Start 2 times per Hour and The allowable Voltage drop at Transformer Secondary terminal is 10%.

## Motor current / Torque:

• Motor Full Load Current= (Kwx1000)/(1.732x Volt (L-L)x P.F)
• Motor Full Load Current=300×1000/1.732x460x0.8= 471 Amp.
• Motor Locked Rotor Current =Multiplier x Motor Full Load Current
 Locked Rotor Current (Kva/Hp) Motor Code Min Max A 3.15 B 3.16 3.55 C 3.56 4 D 4.1 4.5 E 4.6 5 F 5.1 5.6 G 5.7 6.3 H 6.4 7.1 J 7.2 8 K 8.1 9 L 9.1 10 M 10.1 11.2 N 11.3 12.5 P 12.6 14 R 14.1 16 S 16.1 18 T 18.1 20 U 20.1 22.4 V 22.5
• Min Motor Locked Rotor Current (L1)=4.10×471=1930 Amp
• Max Motor Locked Rotor Current(L2) =4.50×471=2118 Amp
• Motor inrush Kva at Starting (Irsm)=Volt x locked Rotor Multiplier x Full Load Currentx1.732 / 1000
• Motor inrush Kva at Starting (Irsm)=460 x 4.5x471x1.732 / 1000=1688 Kva

## Transformer:

• Transformer Full Load Current= Kva/(1.732xVolt)
• Transformer Full Load Current=1000/(1.732×480)=1203 Amp.
• Short Circuit Current at TC Secondary (Isc) =Transformer Full Load Current / Impedance.
• Short Circuit Current at TC Secondary= 1203/(5.75/100)= 20919 Amp
• Maximum Kva of TC at rated Short Circuit Current (Q1) = (Volt x Iscx1.732)/1000.
• Maximum Kva of TC at rated Short Circuit Current (Q1)=480x20919x1.732/1000= 17391 Kva.
• Voltage Drop at Transformer secondary due to Motor Inrush (Vd)= (Irsm) / Q1
• Voltage Drop at Transformer secondary due to Motor Inrush (Vd) =1688/17391 =10%
• Voltage Drop at Transformer Secondary is 10% which is within permissible Limit.
• Motor Full Load Current<=65% of Transformer Full Load Current
• 471 Amp <=65%x1203 amp = 471 Amp<= 781 Amp
• Here Voltage Drop is within Limit and Motor Full Load Current<=TC Full Load Current.
•  Size of Transformer is Adequate.

## Calculate Size of Contactor, Fuse, C.B, O/L  of DOL Starter

• Calculate Size of each Part of DOL starter for The System Voltage 415V ,5HP Three Phase House hold Application Induction Motor ,Code A, Motor efficiency 80%,Motor RPM 750 ,Power Factor 0.8 , Overload Relay of Starter is Put before Motor.

## Basic Calculation of Motor Torque & Current:

• Motor Rated Torque (Full Load Torque) =5252xHP/RPM
• Motor Rated Torque (Full Load Torque) =5252×5/750=35 lb-ft.
• Motor Rated Torque (Full Load Torque) =9500xKW/RPM
• Motor Rated Torque (Full Load Torque) =9500x(5×0.746)/750 =47 Nm
• If Motor Capacity is less than 30 KW than Motor Starting Torque is 3xMotor Full Load Current or 2X Motor Full Load Current.
• Motor Starting Torque=3xMotor Full Load Current.
• Motor Starting Torque==3×47=142Nm.
• Motor Lock Rotor Current =1000xHPx figure from below Chart/1.732×415
 Locked Rotor Current Code Min Max A 1 3.14 B 3.15 3.54 C 3.55 3.99 D 4 4.49 E 4.5 4.99 F 5 2.59 G 2.6 6.29 H 6.3 7.09 I 7.1 7.99 K 8 8.99 L 9 9.99 M 10 11.19 N 11.2 12.49 P 12.5 13.99 R 14 15.99 S 16 17.99 T 18 19.99 U 20 22.39 V 22.4
• As per above chart Minimum Locked Rotor Current  =1000x5x1/1.732×415=7 Amp
• Maximum Locked Rotor Current =1000x5x3.14/1.732×415=22 Amp.
• Motor Full Load Current (Line) =KWx1000/1.732×415
• Motor Full Load Current (Line) = (5×0.746)x1000/1.732×415=6 Amp.
• Motor Full Load Current (Phase)=Motor Full Load Current (Line)/1.732
• Motor Full Load Current (Phase)==6/1.732=4Amp
• Motor Starting Current =6 to 7xFull Load Current.
• Motor Starting Current (Line)=7×6=45 Amp

## (1) Size of Fuse:

 Fuse  as per NEC 430-52 Type of Motor Time Delay Fuse Non-Time Delay Fuse Single Phase 300% 175% 3 Phase 300% 175% Synchronous 300% 175% Wound Rotor 150% 150% Direct Current 150% 150%
• Maximum Size of Time Delay Fuse =300% x Full Load Line Current.
• Maximum Size of Time Delay Fuse =300%x6= 19 Amp.
• Maximum Size of Non Time Delay Fuse =1.75% x Full Load Line Current.
• Maximum Size of Non Time Delay Fuse=1.75%6=11 Amp.

## (2) Size of Circuit Breaker:

 Circuit Breaker as per NEC 430-52 Type of Motor Instantaneous Trip Inverse Time Single Phase 800% 250% 3 Phase 800% 250% Synchronous 800% 250% Wound Rotor 800% 150% Direct Current 200% 150%
• Maximum Size of Instantaneous Trip Circuit Breaker =800% x Full Load Line Current.
• Maximum Size of Instantaneous Trip Circuit Breaker =800%x6= 52 Amp.
• Maximum Size of Inverse Trip Circuit Breaker =250% x Full Load Line Current.
• Maximum Size of Inverse Trip Circuit Breaker =250%x6= 16 Amp.

## (3) Thermal over Load Relay:

• Thermal over Load Relay (Phase):
• Min Thermal Over Load Relay setting =70%xFull Load Current(Phase)
• Min Thermal Over Load Relay setting =70%x4= 3 Amp
• Max Thermal Over Load Relay setting =120%xFull Load Current(Phase)
• Max Thermal Over Load Relay setting =120%x4= 4 Amp
• Thermal over Load Relay (Phase):
• Thermal over Load Relay setting =100%xFull Load Current (Line).
• Thermal over Load Relay setting =100%x6= 6 Amp

## (4) Size and Type of Contactor:

 Application Contactor Making Cap Non-Inductive or Slightly Inductive ,Resistive Load AC1 1.5 Slip Ring Motor AC2 4 Squirrel Cage Motor AC3 10 Rapid Start / Stop AC4 12 Switching of Electrical Discharge Lamp AC5a 3 Switching of Electrical Incandescent Lamp AC5b 1.5 Switching of Transformer AC6a 12 Switching of Capacitor Bank AC6b 12 Slightly Inductive Load in Household or same type load AC7a 1.5 Motor Load in Household Application AC7b 8 Hermetic refrigerant Compressor Motor with Manual O/L Reset AC8a 6 Hermetic refrigerant Compressor Motor with Auto O/L Reset AC8b 6 Control of Restive & Solid State Load with opto coupler Isolation AC12 6 Control of Restive Load and Solid State with T/C Isolation AC13 10 Control of Small Electro Magnetic Load ( <72VA) AC14 6 Control of Small Electro Magnetic Load ( >72VA) AC15 10
• As per above Chart
• Type of Contactor= AC7b
• Size of Main Contactor = 100%X Full Load Current (Line).
• Size of Main Contactor =100%x6 = 6 Amp.
• Making/Breaking Capacity of Contactor= Value above Chart x Full Load Current (Line).
• Making/Breaking Capacity of Contactor=8×6= 52 Amp.

## Calcualte Number of Lighting Fixtures & Lux Level • Calculate required No of Fixtures.
• Calculate required No of Lamps.
• Calculate Watts / Sq.foot.
• Calculate Energy Cost / Year.
• Calculate Actual Lux Level.