There is two types of transformers in the market
Linear Transformers
Switch Mode Power Transformers
Linear transformers are mostly used in radio, project kits, VCD and etc Switch mode transformers can be found in Monitor, Tv, Fax etc.
A transformer consists of two or more coils wound on the same core. For power transformers, the core material is usually iron. For a radio-frequency, the core material is usually ferrite or air. The basic property of a transformer is to change AC voltage. A transformer cannot change direct current voltage. A step down transformer has a lower AC output voltage at its secondary winding than the AC input voltage to its primary winding. A step up transformer has a higher secondary than primary voltage. The transformer laminations or coating of shellac, enamel or varnish is to insulate adjacent turns from shorts between winding. If too much current goes through a coil or winding, the winding heats up and can either open up completely, or the insulation between turns of wire can break down, causing the coil to be partly or completely shorted. You can check continuity of any primary or secondary transformer winding.
Linear and Power Testing
Linear Apply the AC voltage to the primary winding and expect output voltage at the secondary side. No or low output voltage means the transformer winding has open or shorted winding. Look for any evidence of overheating, such as darkened or blackened areas or a burnt smell.
Power You cannot apply ac voltage to the equipment and expect the desire output at the secondary side without connect to load otherwise over voltage will happen (because you have removed all the secondary load) and will blow the power section which consist of power fet, pwm ic and etc.
The best way to test a switch mode power transformer is first remove it from the board. Trace from the big filter cap the positive pin to see where the circuit goes. It will go to one of the pin of the transformer. Then look for the power middle pin which is the Drain and it will lead to another pin of the transformer. Checking the resistance of the primary winding only can reveal whether it is open but it can’t check if it has developed a shorted winding. Only by using a ringer test you will know if it shorted or not. Connect the probes to the primary winding and the result are instantly seen 4-8 bar represent a good winding, 1-2 bar represent partial short and if the led goes off means there is a heavy short in the winding. It can be use to check B+ COIL, horizontal yoke coil and flyback primary winding and ballast (choke).