Circuit Analysis 2

Learning Objectives Three-phase Systems Quiz Useful Equations

Three-phase Systems

Choose the configuration of the system. Set the supply voltage, phase sequence, and the load impedance:

\(E_{\Phi}=\) \( \text{V}_{rms} \)

\(Z_L=\) \(+j\) \(\Omega\)

Phase sequence:

Configuration:

Generator

Voltage:

\(E_{AN} = \) \(E_{BN} = \) \(E_{CN} = \)

Current:

\(I_{A} = I_{Aa} = \) \(I_{B} = I_{Bb} = \) \(I_{C} = I_{Cc} = \)

→

←

Line

Voltage:

\(E_{AB} = E_{AN}-E_{BN} = \) \(E_{BC} = E_{BN}-E_{CN} = \) \(E_{CA} = E_{CN}-E_{AN} = \)

Current:

\(I_{Aa} = I_{an} = \) \(I_{Bb} = I_{bn} = \) \(I_{Cc} = I_{cn} = \)

→

←

Load

Voltage:

\(V_{an} = E_{AN} = \) \(V_{bn} = E_{BN} = \) \(V_{cn} = E_{CN} = \)

↓

Current:

\(I_{an} = V_{an}/Z_L = \) \(I_{bn} = V_{bn}/Z_L = \) \(I_{cn} = V_{cn}/Z_L = \)

\( I_N = I_{an} + I_{bn} + I_{cn} = \)

Total Active Power:

\( P_T = 3 R_\Phi |I_\Phi{_L}|^2 = \)

Total Reactive Power:

\( Q_T = 3 X_\Phi |I_\Phi{_L}|^2 = \)

Total Apparent Power:

\( S_T = 3 |V_\Phi| |I_\Phi{_L}| = \sqrt{P_T^2+Q_T^2} = \)