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Chapter 9 Sinusoids and Phasors

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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Chapter 9 Sinusoids and Phasors

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  1. 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

  2. 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.

  3. 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.

  4. 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.

  5. 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

  6. P.P.9.12 Continued

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

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

  9. P.P.9.13 Design an RC circuit that provide 90° lagging phase shift. Find the output voltage if 10 Volt is applied.

  10. 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

  11. 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.

  12. Chapter 9, Problem 41.

  13. Chapter 9, Problem 51.

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

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

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

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