ࡱ> M }bjbj== WW'Ul8$\0hh(_ _ _ ?0A0A0A0A0A0A0$v1 3e0_ _ _ _ e0/#5z0/#/#/#_ "?0/#_ ?0/#&/#U+:/,+0\  / +0000/R:4!:4+0/# Basic Electrical Power Fundamentals LOAD REFERENCE Kilowatts Kilovolt amps Power Factor PF Motors KW KVA USE NEC 430-148 KW ( KVA .6-.95 and 430-150 to find current for given HP Indancescant Lighting USE actual wattage KW = KVA 1.0 Fluorescent Lighting USE 50VA per 4 foot KW ( KVA .95 F40 T12 Tube Metal Discharge Lamps Mercury, Metal Halide, HPS KW ( KVA .8-.95 Use actual input KVA or current from manufacturers data Heating Resistance Heat - Stoves KW = KVA 1.0 toasters, unit heaters, base board heat use actual wattage Basic Electrical Fundamentals Voltage, current kilowatts, kilovolt amps. Voltage - the electrical pressure needed to force current through any load. Units - Volts, V: Measured line to line or line to neutral with a voltmeter. Nominal System Voltage Actual System Voltage (use for calculations) Single Phase 120/240 volts, 1 phase 115/230 volts =.115/.230 KV  Single phase transformer 120/208 volts 3 phase 115/200 volts = .115/.200 KV 120/240 volts 3 phase 115/230 volts = .115/.230 KV 277/480 volts 3 phase 265/460 volts = .265/.460 KV  115/200V WYE SYSTEM, Y ______________________________________________________________________________________  Wild Leg- 208 volts to neutral Do not use L2 to neutral for 1 pole breakers, will supply 208 volts. Only L1 and L3 can be used for 115 volts. 115/230 V, 3 phase DELTA SYSTEM, Y  265V / 460 V, 3 Phase, WYE, Y Current (I) Current is the flow of electrons through a load, the units are ampers or amps. Current is measured inductively with a clamp-on ammeter. Single Phase Current ( I ) = (Kilovolt Amps) = KVA Kilovolts KV Example: Load = Unit heater 5 KW, 230V 1 phase. Since unit heater is resistive, power factor is 1 so KW = PF (KVA) PF = 1 KW = KVA I = KVA = 5KW 21.7 Amp KV .23 KV Example: 5-4 tube 4 fluorescent fixtures. Find current, ( I ) at 115 VAC. F40T12 Lamp. Fluorescent fixture loading per lamp = 50 VA ( 5 fixtures ) ( 4 lamps/fixture) ( 50VA/ Lamp) = 1000 VA = 1.0 KVA I = KVA = 1.0 KVA = 8.69 Amp KV .115KVA Example: 4 KW water Heater 230V, 1 phase find I PF = 1 I = KVA = KW = KVA I= KW KV KV I = 4 KW = 17.39 Amp. .23KV Example: 50 KW electric furnace, 230V, 1 phase find I PF = 1 KW = KVA I = KVA = 50KW 217.3 Amp. KV .23KV Example: 5 HP motor 230V, 1 phase; find I Use NEC 430-148, 5 HP@230V, I=28Amp Example: 1/2 HP motor, 115V, find I Use NEC 430-148 l/2 HP = 9.8A Three Phase Current Current (I) = Kilovolt Amps = KVA Kilovolts (3 KV (3 Example: Unit Heater 5 KW, 230V, 3 phase find I Heater PF = 1 KW = KVA I = KW = 5KW = 12.55 Amp KV 3 .23KV (3 Example: Motor 20 HP, 208V,3 phase ,find I USE NEC 430-150 @ 230V = 20 HP, I = 54 Amp See note at bottom of table for 200 volt motors Increase current 10% S0: I = 1.10(54 Amp) = 61.1 Amp. Example: Electric furnace 50 KW, 208 V, 3 phase I = KVA = KW = (P.F.=1.0) = 50KW = 144.3Amp .20KV(3 Example: Motor 10 HP, 460V, 3 phase, find I NEC 430-150, 10 HP @ 460V, 3 phase I = 14 Amp KW, KVA KW is real consumed power turned into heat, and is the product of volts x current x power factor. KVA is apparent power, is always greater than or equal to KW and is the product of volts x amps 1 phase, volts x amps x , (3, 3 phase. USE KVA for calculations unless load is resistive, (ie. unit heaters, furnaces) then KVA = KW. KVA is larger than KW because loads are inductive such as motors, discharge lighting, reactors and more current is required to keep the magnetic field energized than is -turned into heat (KW). Inductive devices or loads such,. as tansformers and motors having power factor less than 1.0 are generally rated in KVA. Resistive devices or loads such as heaters, incandescent lamps are rated in KW.  Power triangle Cos ( = Power factor = KW KVA KVA are used to size panel boards and wires not KW. Add KVA up algebraically, this will be a conservative answer because KVA's are not all in phase. Single Phase KW, KVA KW = I (KV)(P.F.); KVA =1(KV) Example: KVA = I(KV) Given I = 30A, KV = .23 P.F. = .8 find KW, KVA KW = (30 Amp)(.23 KV)(.8 P.F.) = 5.52 KW KVA = (30 Amp)(.23 KV) = 6.9 KVA Example: Unit Heater I = 34A, V = .23 KV find KW Unit Heater P.F. = 1.0 KW = I(KV)(P.F.) = (34A)(.23 KV)(1.0 P.F.)=7.82KW KVA = I(KV) = (34A)(.23 KV) = 7.82 KW KVA = KW for resistive loads Example: Motor 2 HP, 230V find KW, KVA NEC 430-148 2 HP = 12A P.F. from motor table .80 page 6- 5 KW = I(KV)(P.F.) = (12A)(.23KV)(.80 P.F.) = 2.20 KW KVA = I(KV) = (12A)(.23 KV) = 2.76 KVA Three Phase KW, KVA KW = I(KV)((3)(P.F.) KVA = I(KV)( (3) Example Motor 15 HP, 230V, 3 phase find KW,, KVA, NEC 430-150, 15 HP, 230V, I = 21A .. P.F. .868 from Table 1 Motor starting data page 6-5 KVA = I(KV) (3 = (21A)(.23KV) (3 = 8.36 KVA KW = I(KV)( (3)(P.F.)=(21A)(.23KV)((3)(.868P.F.) = 7.2 KW Example: Unit Heater I = 56A; 230V 3 phase P.F. = 1 KVA = I(KV)(( 3) = (56A)(.23KV)( ( 3) = 22.3 KVA KW = I(KVA)( (3 )(P.F.) =(56A)(.23KV)( (3)(1.OP.F.)= 22.3 22.3 KVA = 22.3 KW because P.F. = 1 6/14/02 Chapter 2: Basic Electrical Power Fundamentals  PAGE 1/ NUMPAGES 6 ;JPfd~ #134u{|[ \ g } d g k n b e i p EIelCJaJmH nH ujCJUmHnHu jU j*CJCJU%&'J';PQhi+@de ^`$a$'|emn"$pq#$%34u{ & F Z [ ] ^ _ ` a b c d e f ]  . 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