Exam (elaborations)
ELEC 273 EXPERIMENT 5 AC POWER MEASUREMENTS CONCORDIA UNIVERSITY
- Institution
- Concordia University ( )
ELEC 273 EXPERIMENT 5 AC POWER MEASUREMENTS CONCORDIA UNIVERSITY
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ELEC 273 EXPERIMENT 5 AC POWERMEASUREMENTS CONCORDIA UNIVERSITY
OBJECTIVES:
1- To measure AC Power on Resistive, Inductive and Capacitive Loads
2- The Power-Factor-Correction of an Inductive Load
INTRODUCTION:
AC power absorbed by a load is expressed by the
following equation: P(t) = V(t) i(t)
The instantaneous power is the rate at which an element (load) absorbs
energy. A load is composed of dissipative and reactive elements, and as a
result, it can be expressed by an impedance Z = R +jX = |Z|∟θ ˚.
Working in the time domain, if the voltage and current associated with
the load are: v(t) = Vp cos (ωt + фv ) and i(t) = Ip cos(ωt + фi)
where Vp and Ip are peak values and фv and фi are phase angles, then:
p(t) = VpIp cos (ωt + фv) cos(ωt + фi) = (VpIp/2) cos(фv - фi) + (VpIp/2) cos(2ωt
+фv + фi).
The difference between the voltage phase angle and current phase angle, in
the time domain, is actually the angle of the impedance Z in the phasor
domain. By expressing the voltage and current in their RMS values, p(t) can
be re-written as:
p(t) = VI cos θ + VI cos (2ωt + θ) = P + VI cos (2ωt + θ)
Vp Ip
where the RMS values of the voltage and current
are : V = √2 and I = √2
, and where (фv - фi) = θ and P = VI cos θ.
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