Electrical Systems Ac Networks Post Lab
Laboratory No 4
Electrical Systems 100
AC CIRCUITS
INTRODUCTION
The purpose of this laboratory test was to make comparisons between theoretical and practical results and to develop a greater understanding of factors affecting the operation of complex AC networks.
SUMMARY OF RESULTS
The error in the results ranges from 0.02% to 22.63% and the phase angle errors ranged from 0.02° to 17.27°. This suggests that part of our results were very accurate (series parallel RC network) and the rest of our results were severely affected by the interference and resistance of the inductor. Overall, all measurements were carefully and accurately made, however there were uncontrollable factors that need to be considered.
RESULTS
SERIES PARALLEL RC NETWORK TABLE 1: QUANTITY MEASURED VALUES FREQUENCY PERIOD INPUT VOLTAGE (EI) IMPEDENCE (ZT) VR1 (rms) VC1 (rms) VR2 (rms) VC2 (rms) IT (rms) IR1 (rms) IC1 (rms) IR2 (rms) IC2 (rms) 1.25 kHz 800 !s 5.2 V (Z=E1/IT) 2352.94!-43.20° VOLTS !t ANGLE 1.81 V 96 !s 43.20° 2.76 V 106 !s -47.70° 2.06 V 53 !s 23.85° 2.06 V 53 !s 23.85° CURRENT ANGLE 2.210 mA 43.20° 2.210 mA 43.20° 2.168 mA 42.30° 2.060 mA 23.85° 0.760 mA 113.85°
THEORETICAL CALCULATED VALUES 1.25 kHz 800 !s 5.2 V 2333.12!-43.22° 1.829!43.22° V 2.839!-46.78° V 2.092!23.02° V 2.092!23.02° V 2.230!43.22° mA 2.230!43.22° mA 2.230!43.22° mA 2.092!23.02° mA 0.772!113.02° mA
The measured data, in table 1, is a very accurate representation of the theoretical calculated values. The impedance had a magnitude error of 0.85% and phase error of 0.02°. The RMS voltages had an error ranging from 1.04% to 2.78% and their phases had an error ranging from 0.02° to 0.92°. The RMS currents had a percentage error ranging from 0.90% to 2.78% and the phase errors ranged from 0.02° to 0.83°. SERIES RLC CIRCUIT (Frequency 1) TABLE 2: QUANTITY MEASURED VALUES FREQUENCY PERIOD INPUT VOLTAGE (EI) IMPEDENCE (ZT) VR (rms) VL (rms) VC (rms) IT (rms) IR (rms) IC (rms) IL (rms) 1.25 kHz 800 !s
Electrical Systems 100
AC CIRCUITS
INTRODUCTION
The purpose of this laboratory test was to make comparisons between theoretical and practical results and to develop a greater understanding of factors affecting the operation of complex AC networks.
SUMMARY OF RESULTS
The error in the results ranges from 0.02% to 22.63% and the phase angle errors ranged from 0.02° to 17.27°. This suggests that part of our results were very accurate (series parallel RC network) and the rest of our results were severely affected by the interference and resistance of the inductor. Overall, all measurements were carefully and accurately made, however there were uncontrollable factors that need to be considered.
RESULTS
SERIES PARALLEL RC NETWORK TABLE 1: QUANTITY MEASURED VALUES FREQUENCY PERIOD INPUT VOLTAGE (EI) IMPEDENCE (ZT) VR1 (rms) VC1 (rms) VR2 (rms) VC2 (rms) IT (rms) IR1 (rms) IC1 (rms) IR2 (rms) IC2 (rms) 1.25 kHz 800 !s 5.2 V (Z=E1/IT) 2352.94!-43.20° VOLTS !t ANGLE 1.81 V 96 !s 43.20° 2.76 V 106 !s -47.70° 2.06 V 53 !s 23.85° 2.06 V 53 !s 23.85° CURRENT ANGLE 2.210 mA 43.20° 2.210 mA 43.20° 2.168 mA 42.30° 2.060 mA 23.85° 0.760 mA 113.85°
THEORETICAL CALCULATED VALUES 1.25 kHz 800 !s 5.2 V 2333.12!-43.22° 1.829!43.22° V 2.839!-46.78° V 2.092!23.02° V 2.092!23.02° V 2.230!43.22° mA 2.230!43.22° mA 2.230!43.22° mA 2.092!23.02° mA 0.772!113.02° mA
The measured data, in table 1, is a very accurate representation of the theoretical calculated values. The impedance had a magnitude error of 0.85% and phase error of 0.02°. The RMS voltages had an error ranging from 1.04% to 2.78% and their phases had an error ranging from 0.02° to 0.92°. The RMS currents had a percentage error ranging from 0.90% to 2.78% and the phase errors ranged from 0.02° to 0.83°. SERIES RLC CIRCUIT (Frequency 1) TABLE 2: QUANTITY MEASURED VALUES FREQUENCY PERIOD INPUT VOLTAGE (EI) IMPEDENCE (ZT) VR (rms) VL (rms) VC (rms) IT (rms) IR (rms) IC (rms) IL (rms) 1.25 kHz 800 !s