Maximum Power Transfer Theorem

  Procedure:

  1. Apply Supply voltage (Vin = 230v, f = 50Hz) and Choose weather to connect or bypass \(L_S\) and \(C_S\) by clicking on the corresponding white check box. (By default they are all connected. 'Tick sign' indicates, the component is bypassed.)

  2. Now set the values of different elements of source impedance(\(Z_S\)) then switch on circuit board to get the voltmeter readings.

  3. Case-1 (Only \(X_L\) is adjustable) Choose weather to connect or bypass \(L_L\) and \(C_L\). Adjust them and click on simulate to set \(X_S = -X_L\). Check if the power transferred to Load(\(P_L\)) is maximum and check the corresponding efficiency.

  4. Case-2 (Only \(R_L\) is adjustable) Adjust \(R_L\) and click on simulate to set \(R_a = R_L\). Where; \(R_a = \sqrt{R_s^2 + (X_s + X_l)^2}\). Check if the power transferred to Load(\(P_L\)) is maximum and check the corresponding efficiency.

  5. Case-3 (Both \(X_L\) and \(R_L\) are adjustable) Choose weather to connect or bypass \(L_L\) and \(C_L\). Adjust \(R_L\) and \(X_L\) and click on simulate to set \(R_s = R_L\) and \(X_s = -X_L\). Check if the power transferred to Load(\(P_L\)) is maximum and check the corresponding efficiency.

    6. N.B.: Switch off the supply any time to modify different components of the circuit.
  • When only \(X_L\) is adjustable:
      Switch on the ckt board, adjust \(X_L\) and click on simulate to set \(X_S = -X_L\).

      Current \(X_S\) =        and \(X_L\) =
      Current power transferred to Load (\(P_L\)) = Watt
      and efficiency (\(P_t / P_l\)) = %

    Ω

    Ω

  • When only \(R_L\) is adjustable:
      Switch on the ckt board, adjust \(R_L\) and click on simulate to set \(R_a = R_L\).
      where, \(R_a = \sqrt{R_s^2 + (X_s + X_l)^2}\)
      Current \(R_a\) =        and \(R_L\) =
      Current power transferred to Load (\(P_L\)) = Watt
      and efficiency (\(P_t / P_l\)) = %

    Ω

    Ω

  • When both \(X_L\) and \(R_L\) are adjustable:
      Switch on the ckt board, adjust both \(R_L\) and \(X_L\) and click on simulate to set \(R_s = R_L\)
      and \(X_s = -X_L\).   Current \(R_s\) =        and \(R_L\) =
      Current \(X_s\) =        and \(X_L\) =
      Current power transferred to Load (\(P_L\)) = Watt
      and efficiency (\(P_t / P_l\)) = %

    Ω

    Ω

    Ω

    Ω

Tutorials Point

V

V

V

V

V

V

Ω

Ω

F

F

H

H