Regulation & Efficiency | Electrical Machines for Electrical Engg. - Electrical Engineering (EE) PDF Download

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What is voltage Regulation?
The term voltage regulation identifies the characteristic of the voltage change in the transformer with loading.
The voltage regulation of the transformer is defined as the arithmetical difference in the secondary terminal voltage between no-load (I₂ = 0) and full rated load (I₂ = I₂fl) at a given power factor with the same value of primary voltage for both rated load and no-load.
The numerical difference between no-load and full-load voltage is called inherent voltage regulation.
Inherent voltage regulation

Where V_2fl = rated secondary terminal voltage at rated load.
V_2nl = no load secondary terminal voltage with the same value of primary voltage for both rated load and no load.
Per unit voltage regulation at full load is

Percent voltage regulation at full load

We can say that voltage regulation is an important measure for the performance of the transformer. We can specify the limits of the transformer in terms of voltage regulation.

Voltage Regulation in terms of primary values:
Per unit voltage regulation

∴pu voltage regulation is


Calculation of Voltage Regulation
We can calculate the voltage regulation of a transformer in terms of circuit parameters. The equivalent circuit diagram of a transformer referred to secondary is shown below.
Figure: Equivalent circuit of the transformer referred to the secondary 

To calculate the voltage regulation we have to follow the steps given below:
1. We have to take V₂ as the reference Phasor
∴ V₂ = V₂∠0°= V₂ + j0

2. Write I₂ in Phasor form
For lagging power-factor CosФ₂
I₂ = I₂ ∠- Ф₂ = I₂Cos Ф₂? jI₂ sinФ₂
For leading power-factor Cos Ф₂
I₂ = I₂ ∠+ Ф₂ = I₂Cos Ф₂ + jI₂ sinФ₂
For unity power factor
I₂ = I₂∠0° = I₂ +j0

3. Calculate Z_e2
Z_e2 = R_e2 + jX_e2

4. Calculate

5. Now we will calculate the voltage regulation

Or we can say that it is the ratio of the difference between the voltages at no load and full load to the voltage at full load.

What is Transformer Efficiency?
Transformer efficiency (η) can be explained as the ratio of the output power to the input power.

Therefore the per unit efficiency at load current 1₂ and power factor cos Ф₂ will be

And the per unit efficiency at full load is

Then

As we know that in a transformer there is no rotational part so there are no rotational losses such as windings and frictional losses in a rotating machine. Therefore, we can obtain a maximum efficiency as high as 99% in a well-designed transformer.

What is all day (or energy) efficiency of a transformer?
The ratio of the energy output of 24-hour to the energy input of a 24-hour period is called the All-day efficiency of a transformer.

If we know the load cycle of the transformer, then all day efficiency can easily be determined.