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PPT-4-Sinusoids+and+Phasor.ppt

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Sinusoids and Phasors Ø Delta-to-wye and wye-to-delta conversions Ø Phase Sifters. Ø AC Bridges. Sinusoids and Phasors Ø Delta-to-wye and wye-to-delta conversions Ø Phase Sifters. Ø AC Bridges. Ø Problem Solutions

Y-Δ and Δ-Y Equivalent Circuits Ø Y-Δ and Δ-Y type equivalent conversions will be Y-Δ and Δ-Y Equivalent Circuits Ø Y-Δ and Δ-Y type equivalent conversions will be most useful when considering Three Phase circuits. Ø Impedances Z 1, Z 2 and Z 3 are Y connected. Ø Impedances Za, Zb and Zc are Δ connected. Ø Y and Δ forms can be eqivalently converted from one form to the other. Ø Y-Δ and Δ-Y conversions are valid for impedances as well as resistive circuits.

Y-Δ and Δ-Y Equivalent Circuits Ø Y-Δ and Δ-Y type equivalent conversions will be Y-Δ and Δ-Y Equivalent Circuits Ø Y-Δ and Δ-Y type equivalent conversions will be useful when considering Three Phase circuits in Chapter 12.

Balanced Y-Δ and Δ-Y Equivalent Circuits Ø A delta (Δ) or Y (wye) circuit Balanced Y-Δ and Δ-Y Equivalent Circuits Ø A delta (Δ) or Y (wye) circuit is balanced if it has equal impedances in all three branches. Ø Y-Δ and Δ-Y conversions is very simple for balanced circuits.

Find I in the circuit given? Converting Δ Connection to Y form, we obtain Find I in the circuit given? Converting Δ Connection to Y form, we obtain Converting to Y form, we can simplify the circuit by combining the parallel and series elements Z

P. P. 9. 12 Continued P. P. 9. 12 Continued

Phase Shifters (Leading Output) Ø Phase shifting is employed to correct undesirable phase shift Phase Shifters (Leading Output) Ø Phase shifting is employed to correct undesirable phase shift of the AC voltage. Leading Output Leads the input

Phase Shifters (Lagging Output) Ø Phase shifting is employed to correct undesirable phase shift Phase Shifters (Lagging Output) Ø Phase shifting is employed to correct undesirable phase shift of the AC voltage. Lagging Output Lags the input

P. P. 9. 13 Design an RC circuit that provide 90° lagging phase shift. P. P. 9. 13 Design an RC circuit that provide 90° lagging phase shift. Find the output voltage if 10 Volt is applied.

AC Bridges Ø The AC bridge is Balanced when no current flows through the AC Bridges Ø The AC bridge is Balanced when no current flows through the meter. AC bridges are used in measuring inductance and capacitance values. A general AC bridge circuit

AC Bridges Ø Unknown capacitance and inductances Cx and Lx are measured in terms AC Bridges Ø Unknown capacitance and inductances Cx and Lx are measured in terms of the known standard values Cs and Ls AC Bridge for measuring L AC Bridge for measuring C.

Chapter 9, Problem 41. Chapter 9, Problem 41.

Chapter 9, Problem 51. Chapter 9, Problem 51.

Ch 9, Prob 55. Find Z in the network given that Ch 9, Prob 55. Find Z in the network given that

Chapter 9, Problem 77 a) Calculate the phase shift at 2 Mhz. b) Calculate Chapter 9, Problem 77 a) Calculate the phase shift at 2 Mhz. b) Calculate the frequency at which phase shift is 45 degree.

Chapter 9, Problem 77 a) Calculate the phase shift at 2 Mhz. b) Calculate Chapter 9, Problem 77 a) Calculate the phase shift at 2 Mhz. b) Calculate the frequency at which phase shift is 45 degree.