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KF1063 Introduction to Electrical Engineering, ®mbi, bb KF 1063 LECTURE 7
KF1063 Introduction to Electrical Engineering, ®mbi, bb OUTLINE ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
KF1063 Introduction to Electrical Engineering, ®mbi, bb INTRODUCTION ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Z  =  R  (purely resistive) KF1063 Introduction to Electrical Engineering, ®mbi, bb ACTIVE POWER P  =  VI  =  I 2 R  =  V 2 / R  (Watt)
Z  = j X L  (inductive) KF1063 Introduction to Electrical Engineering, ®mbi, bb REACTIVE POWER ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Z  =  –  j X C  (capacitive) KF1063 Introduction to Electrical Engineering, ®mbi, bb KUASA REGANGAN ,[object Object],[object Object],[object Object],[object Object]
KF1063 Introduction to Electrical Engineering, ®mbi, bb ACTIVE/REACTIVE POWER - Example ,[object Object],[object Object],[object Object],[object Object],Note:  use the magnitude of  I  and  V
KF1063 Introduction to Electrical Engineering, ®mbi, bb Determine the total  P T  and  Q T  for the circuit. Sketch the series equivalent circuit. R  =  P T / I 2  = 1200/20 2  = 3   X eq  =  X L  =  Q T / I 2  = 1600/20 2  = 4   ACTIVE/REACTIVE POWER - Example
KF1063 Introduction to Electrical Engineering, ®mbi, bb For load consisting of series resistance and reactance,  Z  =  R     j X  =  Z   /  θ   , the power produced is called  Apparent Power  or  Complex Power ),  S  or  P S  with unit Volt-Amp (VA) APPARENT POWER θ  positive, inductive load  θ  negative, capacitive load S  =  VI  (VA)  P  =  VI  kos  θ  =  I 2 R  = V R 2 /R (W) =  S  kos  θ  (W) Q  =  VI  sin  θ  =  I 2 X  =  V x 2 / X  (VAR) =   S  sin  θ S  =   ( P 2  +  Q 2 ) =  VI * V /0  Power Triangle S  =  P  + j Q L S  =  P   –  j Q C S  =  VI S  =  VI
KF1063 Introduction to Electrical Engineering, ®mbi, bb POWER TRIANGLE - Example Sketch the power triangle.
KF1063 Introduction to Electrical Engineering, ®mbi, bb POWER FACTOR ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Leading p.f. (final) = cos  θ J ; Q J  =  P  tan  θ J   Q C  =  Q   –  Q J   Q C  =  V 2 / X C  ;  X C  = 1/ j  C  =  V 2 /  Q C   KF1063 Introduction to Electrical Engineering, ®mbi, bb POWER FACTOR - Correction
Figure 7.18, 7.19, 7.20 KF1063 Introduction to Electrical Engineering, ®mbi, bb Given: V s  = 117  0   V,  R L  = 50   , j X L  = 86.7      = 377 rad/s  Z L  = 50 + j86.7 = 100  1.047     I L  =  V L / Z L  =  (117  0 )/(100  1.047) = 1.17  – 1.047 A S  =  V L I L *  = 137   1.047) = 68.4 + j118.5 VA Q C  =  – 118.5 VAR  X C  = V L 2 /118.5 =  –  j115   C  = 1/  X c  = 23.1   F Find the complex power for the circuit. Correct the circuit power factor to p.f. = 1 using parallel reactance. POWER FACTOR - Example
KF1063 Introduction to Electrical Engineering, ®mbi, bb POWER MEASUREMENT Wattmeter only reads active power on the load side
KF1063 Introduction to Electrical Engineering, ®mbi, bb POWER MEASUREMENT - Example What is the reading of wattmeter, W? P T  = 10 + 40 + 700 = 750 W
KF1063 Introduction to Electrical Engineering, ®mbi, bb P.F. MEASUREMENT - Example S  =  VI  = (9.615)(240) = 2.308 kVA p.f.  = 1.5 kW/2.308 kVA = 0.65 Q  = 1.754 kVAR If  p.f.  = 1 (correction) X c  =  V 2 / Q  then  C  = 80.761   F What happen if  C  = 80   F?

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Lecture7

  • 1. KF1063 Introduction to Electrical Engineering, ®mbi, bb KF 1063 LECTURE 7
  • 2.
  • 3.
  • 4. Z = R (purely resistive) KF1063 Introduction to Electrical Engineering, ®mbi, bb ACTIVE POWER P = VI = I 2 R = V 2 / R (Watt)
  • 5.
  • 6.
  • 7.
  • 8. KF1063 Introduction to Electrical Engineering, ®mbi, bb Determine the total P T and Q T for the circuit. Sketch the series equivalent circuit. R = P T / I 2 = 1200/20 2 = 3  X eq = X L = Q T / I 2 = 1600/20 2 = 4  ACTIVE/REACTIVE POWER - Example
  • 9. KF1063 Introduction to Electrical Engineering, ®mbi, bb For load consisting of series resistance and reactance, Z = R  j X = Z /  θ , the power produced is called Apparent Power or Complex Power ), S or P S with unit Volt-Amp (VA) APPARENT POWER θ positive, inductive load θ negative, capacitive load S = VI (VA) P = VI kos θ = I 2 R = V R 2 /R (W) = S kos θ (W) Q = VI sin θ = I 2 X = V x 2 / X (VAR) = S sin θ S =  ( P 2 + Q 2 ) = VI * V /0  Power Triangle S = P + j Q L S = P – j Q C S = VI S = VI
  • 10. KF1063 Introduction to Electrical Engineering, ®mbi, bb POWER TRIANGLE - Example Sketch the power triangle.
  • 11.
  • 12. Leading p.f. (final) = cos θ J ; Q J = P tan θ J Q C = Q – Q J Q C = V 2 / X C ; X C = 1/ j  C = V 2 / Q C KF1063 Introduction to Electrical Engineering, ®mbi, bb POWER FACTOR - Correction
  • 13. Figure 7.18, 7.19, 7.20 KF1063 Introduction to Electrical Engineering, ®mbi, bb Given: V s = 117  0 V, R L = 50  , j X L = 86.7   = 377 rad/s Z L = 50 + j86.7 = 100  1.047  I L = V L / Z L = (117  0 )/(100  1.047) = 1.17  – 1.047 A S = V L I L * = 137  1.047) = 68.4 + j118.5 VA Q C = – 118.5 VAR X C = V L 2 /118.5 = – j115  C = 1/  X c = 23.1  F Find the complex power for the circuit. Correct the circuit power factor to p.f. = 1 using parallel reactance. POWER FACTOR - Example
  • 14. KF1063 Introduction to Electrical Engineering, ®mbi, bb POWER MEASUREMENT Wattmeter only reads active power on the load side
  • 15. KF1063 Introduction to Electrical Engineering, ®mbi, bb POWER MEASUREMENT - Example What is the reading of wattmeter, W? P T = 10 + 40 + 700 = 750 W
  • 16. KF1063 Introduction to Electrical Engineering, ®mbi, bb P.F. MEASUREMENT - Example S = VI = (9.615)(240) = 2.308 kVA p.f. = 1.5 kW/2.308 kVA = 0.65 Q = 1.754 kVAR If p.f. = 1 (correction) X c = V 2 / Q then C = 80.761  F What happen if C = 80  F?