Linear regulators (like the one you are using) are limited by the difference between Input and output voltage, especially under heavy current.Their heat dissipation is defined by this voltage difference times current.
Assuming you want to stick to the transformer you have, a best approach is to use a switching mode regulator like LTC3115,which will have noт just way better efficiency.but also the ability to produce output voltage lower or higher than the available input voltage. Go to
www.linear.com for details and LTSpice illustration.
This Buck Boost regulator can tolerate up to 45V at the input and can produce up to 40V at the output with max load of 2A.
You can regard this regulator as DC transformer. The product of output voltage and current (output power) will almost match the respective number at the input (minus around 15% losses). This implies that at lower than input voltages you can get higher than input current (as step down transformer implies) As other voltage regulators, the output voltage is defined by a resistive divider, scaling down the output voltage for comparison with internal reference voltage. This implies волтаге control range above the reference as the formula is Vref*(1+R1/R2). If you need more than 2A have a look at LT8705 - again Buck Boost circuit but with external MOSFETs. The LT demo board for LT8705 illustrates up to 200W at input voltage as high as 80V.