**Subject :**Electrical Machines II (AC Machines)

**Unit :**Alternators

## Determination of Voltage Regulation

**Determination of Voltage Regulation:**

The kVA ratings of commercial alternators are very high (e.g. 500 MVA). It is neither convenient nor practicable to determine the voltage regulation by direct loading. There are several indirect methods of determining the voltage regulation of an alternator. These methods require only a small amount of power as compared to the power required for direct loading method. Two such methods are:

1. Synchronous impedance or E.M.F. method

2. Ampere-turn or M.M.F. method

For either method, the following data are required:

(i) Armature resistance

(ii) Open-circuit characteristic (O.C.C.)

(iii) Short-Circuit characteristic (S.C.C.)

**(i) Armature resistance**

The armature resistance R_{a} per phase is determined by using direct current and the voltmeter-ammeter method. This is the d.c. value. The effective armature resistance (a.c. resistance) is greater than this value due to skin effect. It is a usual practice to take the effective resistance 1.5 times the d.c. value (R_{a} = 1.5 R_{dc}).

**(ii) Open-circuit characteristic (O.C.C)**

* Fig: 1 Fig: 2*

Like the magnetization curve for a d.c. machine, the (Open-circuit characteristic of an alternator is the curve between armature terminal voltage (phase value) on open circuit and the field current when the alternator is running at rated speed. Fig. 1 shows the circuit for determining the O.C.C. of an alternator. The alternator is run on no-load at the rated speed. The field current I* _{f}* is gradually increased from zero (by adjusting field rheostat) until open-circuit voltage E

_{0}(phase value) is about 50% greater than the rated phase voltage. The graph is drawn between open-circuit voltage values and the corresponding values of I

*as shown in Fig. (2).*

_{f}
**(iii) Short-circuit characteristic (S.C.C.)**

In a short-circuit test, the alternator is run at rated speed and the armature terminals are short-circuited through identical ammeters [See Fig. (3)]. Only one ammeter need be read; but three are used for balance. The field current I* _{f}* is gradually increased from zero until the short-circuit armature current ISC is about twice the rated current. The graph between short-circuit armature current and field current gives the short-circuit characteristic (S.C.C.) as shown in Fig. (4).

*Fig: 3 Fig: 4*

There is no need to take more than one reading because S.C.C. is a straight line passing through the origin. The reason is simple. Since armature resistance is much smaller than the synchronous reactance, the short-circuit armature current lags the induced voltage by very nearly 90°. Consequently, the armature flux and field flux are in direct opposition and the resultant flux is small. Since the resultant flux is small, the saturation effects will be negligible and the short circuit armature current, therefore, is directly proportional to the field current over the range from zero to well above the rated armature current.