Power in AC Circuits: Experiment 6 - EEA102L (B6) and EEA101 (A15), Assignments of Electrical Engineering

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Student EEA102L (B6)

MEMBER OF GROUP 5

Student EEA101 (A15)

Experiment 6 Power in AC circuits Eldrin Jae T. Ibe

Professor

Engr. Melissa Martin

Schematic Diagram and Waveforms

Figure 8.

AC Analysis

AC Analysis

Transient

Preliminary Data Sheet

Table 8.1: POWER MEASUREMENT Parameter Given Values Parameter Measured Values Frequency (Hz) 250.00 Hz Total Voltage (VT) (VRMS)

4.00 VRMS

Resistance (R) (Ω)

Resistor Voltage (VR) (VRMS)

2.15 VRMS

Inductance (L) (mH) 100.00 mH Inductor Voltage (VL) (VRMS)

3.37 VRMS

Reactance (X) |X|= 2 πfLfL (Ω) 50.00π Ω Total Current (IT) (mARMS) 21.48 mARMS Total Power (PT) (W) 85.92 mW Impedance (Z) |Z|=√ R 2

+X

102.44 Ω Resistor Power (PR) (W) 46.14 mW Inductor Power (PL) 72.48 mW

BC= 2 πfLfC (Ω) ʊ

Total Susceptance (B) |B|=BL−BC (Ω) 6.21 mʊ Total Reactance (X) |X|=

|B|

Impedance (Z) |Z|=

R

2

|B|

2 (Ω)^

Table 8.4: POWER FACTOR CORRECTION Parameter Formula Calculated Values Impedance Angle (θZ) (°)

θZ=tan

− 1 |X|

R

58.16° Power Factor (pf)

pf =cos θZ 0.

pf =

P

S

Reactive Factor (rf)

rf =sin θZ 0.

rf =

Q

S

Real Power (P) (W)

P=V T I T cos θZ 46.14 mW

P=I R

2

R 46.14 mW

P=

V R

2

R

46.14 mW Reactive Power (Q) (VAR)

Q=V T IT sin θZ 74.32 mVAR

Q=I|X|

(^2) | X|^ 74.32 mVAR

Q=

V|X|

2 |X| 74.32 mVAR Apparent Power (S) (VA)

S=V T I T 83.82 mVA

S=I|Z|

(^2) | Z|^ 83.82 mVA

S=

V|Z|

2 |Z| 83.82 mVA |S|=√ P 2

+Q

(^2) 83.82 mVA