Chapter 9 Sinusoids and Phasors

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# Chapter 9 Sinusoids and Phasors - PowerPoint PPT Presentation

Delta-to-wye and wye-to-delta conversions Phase Sifters. AC Bridges. Problem Solutions. Chapter 9 Sinusoids and Phasors. Huseyin Bilgekul Eeng224 Circuit Theory II Department of Electrical and Electronic Engineering Eastern Mediterranean University. Y- Δ and Δ -Y Equivalent Circuits.

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Delta-to-wye and wye-to-delta conversions

Phase Sifters.

AC Bridges.

Problem Solutions

Chapter 9Sinusoids and Phasors

Huseyin BilgekulEeng224 Circuit Theory IIDepartment of Electrical and Electronic EngineeringEastern Mediterranean University

Y-Δ and Δ-Y Equivalent Circuits

• Y-Δ and Δ-Ytype equivalent conversions will be most useful when considering Three Phase circuits.
• Impedances Z1, Z2 and Z3 are are Y connected.
• Impedances Za, Zb and Zc are Δ connected.
• Y and Δ forms can be eqivalently converted from one form to the other.
• Y-Δand Δ-Y conversions are valid for impedances as well as resistive circuits.

Y-Δ and Δ-Y Equivalent Circuits

• Y-Δ and Δ-Ytype equivalent conversions will be useful when considering Three Phase circuits in Chapter 12.

Balanced Y-Δ and Δ-Y Equivalent Circuits

• A delta (Δ) or Y (wye) circuit is balanced if it has equal impedances in all three branches.
• 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

Converting to Y form, we can simplify the circuit by combining the parallel and series elements

Z

• Phase shifting is employed to correct undesirable phase shift of the AC voltage.

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

Lagging Output.

Output Lags the input

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

• 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

• 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 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 the frequency at which phase shift is 45 degree.