To be safe when there is a short circuit series always use a fuse on the input voltage is 220v.
Simple 12v power supply circuit without transformer.
For example if the transformer secondary is rated at 12 volts then the acquired 12 volts from the transformer secondary will be a 12 volt ac across the relevant wires.
As the name defines a transformerless power supply circuit provides a low dc from the mains high voltage ac without using any form of transformer or inductor.
And this series of works using capacitive reactance and resistance are not using this will reduce the heat on the circuit.
Here is the circuit diagram and explanation for transformerless power supply.
We can convert the high voltage ac into low voltage such as 5v 6v 9v 12v dc without using the transformer which is called transformerless power supply.
However for achieving a regulated dual power supply with the desired level of dual voltage at the output is something which normally requires a complex design using.
Designing a simple dual power supply actually involves a just a center tap power supply and a bridge rectifier along with a couple of high value filter capacitors as shown below.
Here is a series of power supply without a simple transfomer.