Switching Mode Power Supply - math physical electric equation - how it works

I need a description of the construction and operation of switching power supply shown in the attached picture ... I need: 1. all the equations work this power supply electrical physical math, description flux in the transformer and energy in capacitors, a description of the behavior of the magnetic flux and voltage and currents in all four phases of the inverter transistor is turned on, the transistor off, switching from ON to OFF and switching from off on it ... the equation for the voltages and currents in the circuit, the behavior in case of changes in load at the output of the inverter 2. a description of how the given Vin Iout (max), Uout calculate the parameters of the elements of that supply (Frequency and transformer parameters, the parameters of the capacitor) 3. transients and dynamics of this power supply (to describe the patterns of what happens when you change the currents consumed at the outputs) 4. information about what is happening on the measuring coil which controls the transistor in the case of conversion load 5. information like voltage stabilization is achieved when only one winding is loaded, and the other not (description of how the magnetic flux in the coil is associated with output currents on each power supply outputs)