How to Make Transformers with Calculations and Formula

How to Make Transformers with Calculations and Formula

Nearly every single electronic circuit requires a separate power supply, which is often in the form of a battery or a rectified power supply. In this article we are going to discuss how to make small transformers which are typically applied in mains-operated power supplies, such as step down transformers.

Introduction

This will likely help electronic hobbyists to develop and build their very own transformers based on their particular demands. Within the next pages, a simplified layout method is presented in order to achieve satisfactorily developed transformers. On the other hand, the design process may be a subject of some experimentation.

The tables presented in this article trim computations short which help the designer to find the appropriate size of wire or even core lamination. Exclusively pertinent data and calculations are supplied here to ensure that the designer is absolutely not baffled by unwanted details.

Here we will specifically discuss about transformers which possesses 2 or more winding of insulated copper wire around an iron core. These are: one primary winding and one or maybe more secondary winding.

Each winding is electrically isolated from the other however are magnetically connected by using a laminated iron core. Small transformers possess a shell style structure, i.e. the winding are encircled by the core as demonstrated in Fig. 1. The power supplied by the secondary is in fact transmitted from the primary, although at a voltage level dependent on the winding ratio of the a pair of winding.

 

Basic Transformer Design

As the initial phase towards the design of a transformer, the primary and secondary voltage evaluations and the secondary ampere rating has to be distinctly expressed.

After that determine the core content to be employed: ordinary steel stamping or cold rolled grain oriented (CRGO) stamping. CRGO features a greater allowable flux density and reduced losses.

The best possible cross-sectional part of the core is roughly assigned by:

Core Area: 1.152 x √(output voltage x output current) sq cm.

With regard to transformers having several secondary’s, the sum of the output volt-amp product of each winding needs to be considered.

The quantity of turns on the primary and secondary winding is determined using the formula for turns per volt ratio as:

Turns per volt = 1/ (4.44  x 10^-4 frequency x core area x flux density)

Here, the frequency is usually 50Hz for Indian household mains source. The flux density could be considered as approximately 1.0 Weber/ sq. m. intended for ordinary steel stamping and approximately 1.3 Weber/ sq. m. for CRGO stamping.

Calculating Primary Winding

The current in the primary's winding is presented by the formula:

Primary Current = Sum of o/p Volt and o/p Amp divided by Primary Volts x efficiency

The efficiency of small transformers can deviate between 0.8 to 0.§6. A value of 0.87 works extremely well for regular transformers.

The appropriate wire size needs to be determined for the winding. The wire diameter is dependent upon the current rated for the winding and also the permitted current density of the wire.

The current density could be as tall as 233 amps/ sq. cm. in small transformers and as minimal as 155 amps/ sq. cm. in big ones.

Winding Data

Typically, a value of 200 amps/ sq. cm. may be considered, according to which Table#1 is created. The amount of turns in the primary winding is presented by the formula:

Primary Turns = Turns per Volt x Primary Volts

The room consumed by the winding is determined by the insulation density, technique of winding and the wire diameter.

Table#1 provides the estimated values of the turns per square cm. through which we are able to calculate the window area consumed by the primary winding.

Primary winding Area = Primary turns / Turns per sq. cm from Table#1

Calculating Secondary Winding

Considering that we have supposed that we have the secondary current rating, we are able to determine the wire size for the secondary winding simply by going through Table#1 directly.

The quantity of turns on the secondary is calculated in the identical method when it comes to primary, but around 3% excess turns should be included to reimburse for the internal drop of secondary winding voltage of the transformer, upon loading. Hence,

Secondary turns = 1.03 (turns per volt x secondary volts)

The window area necessary for secondary winding is identified from Table#1 as

Secondary window area = Secondary turns / Turns per sq. cm. (from Table#1)

Calculating Core size

The principal qualifying measure in picking the core could be the total window area of winding space accessible.

Total window area = Primary window area + sum of secondary window areas + space for former & insulation.

A little extra space is necessary to support the former and insulation in between winding. The specific quantity of extra area may differ, even though 30% could be considered to begin with although this may need to be customized later on.

Table Dimension of Transformer Stamping

The perfect core sizes possessing a more substantial window space are generally determined from Table#2 taking into consideration the gap between lamination while stacking them (the core stacking element may be taken as 0.9), we now have

Gross core area = Core Area / 0.9 sq cm. In general, a square central limb is preferred.

For this, the width of the tongue of lamination is

Tongue width = root Gross core area cm.

Now refer to Table#2 once again and as a final point find the appropriate core size, having adequate window area and a nearby value of the tongue width as calculated. Modify thel stack height as needed to acquire the intended core section.

Stack Height = Gross Core Area / Actual Tongue Width

The stack must not be a lot under the tongue width rather should be more. However, it must not be greater than 11/2 times the tongue width.

Core Assembly Diagram

How to Assemble the Transformer

The winding are done over an insulating former or bobbin that fits on the middle pillar of the core lamination. The primary is generally wound first, and next it is the secondary, keeping an insulation between the two layers of the winding.

One last insulating layer is applied on top of the winding to safeguard all of them from mechanical and vibration deterioration. Whenever thin wires are employed, their particular ends needs to be soldered to heavier wires in order to bring the terminals outside the former.

The lamination are usually put together on the former by alternate lamination reversed in set up. The lamination has to be tightly bound together through an appropriate clamping framework or by using nuts and bolts (in case through holes are supplied within the lamination assembly).

How to Apply Shielding

This can be a wise idea to utilize an electrostatic shielding between the primary and secondary winding to circumvent electrical interference from moving across to the secondary from the primary.

The shield can be constructed from a copper foil which can be wound between the two winding for somewhat more than a turn. Insulation has to be presented across the entire foil and proper care taken in order that the two ends of the foil never come in contact with each other. Additionally  a wire could be soldered with this shielding fill and connected with the ground line of the circuit or with the lamination of the transformer which may be clamped with the ground line of the circuit.