# MMF Method of Voltage Regulation

**MMF Method** is also known as **Ampere Turn** Method. The synchronous impedance method is based on the concept of replacing the effect of armature reaction by an imaginary reactance the Magnetomotive force (MMF). The MMF method replaces the effect of armature leakage reactance by an equivalent additional armature reaction MMF so that this MMF may be combined with the armature reaction MMF.

To calculate the voltage regulation by MMF Method, the following information is required. They are as follows:

- The resistance of the stator winding per phase
- Open circuit characteristics at synchronous speed.
- Short circuit characteristic

## Step to Draw Phasor Diagram of MMF Method

The **phasor diagram** at a lagging power factor is shown below.

- The armature terminal voltage per phase (V) is taken as the reference phasor along OA.
- The armature current phasor I
_{a}is drawn lagging the phasor voltage for lagging power factor angle ϕ for which the regulation is to be calculated. - The armature resistance drop phasor I
_{a}R_{a}is drawn in phase with I_{a}along the line AC. Join O and C. OC represents the emf E’.

- Considering the Open Current Characteristics shown above the field current I’
_{f}corresponding to the voltage E’ is calculated. - Draw the field current I’
_{f}leading the voltage E’ by 90 degrees. It is assumed that on short circuit all the excitation is opposed by the MMF of armature reaction. Thus,

From the Short Circuit Current characteristics (SSC) shown above, determine the field current I_{f2} required to circulate the rated current on short circuit. This is the filed current required to overcome the synchronous reactance drop I_{a}X_{a}.

- Draw the field current I
_{f2}in phase in opposition to the current armature current I_{a}. Thus,

Determine the phasor sum of the field currents I’_{f} and I_{f2}. This gives the resultant field current If which would generate a voltage E_{0} under no load conditions of the alternator. The open circuit EMF E_{0} corresponding to the field current if is found from the open circuit characteristics

The regulation of the alternator is found from the relation shown below.