Abstract--Quasi-Square Wave mode with Zero Voltage Switching (QSW-ZVS) is an operation mode in which the switching losses can be minimized. However, a large inductance current ripple is needed in this mode, which limits the maximum attainable power of the topology. A possible way to increase the power managed by a QSW-ZVS mode converter is to use a modular converter. An Input Parallel Output Parallel (IPOP) arrangement, in which the current can be shared among the modules, can increase the total power proportionally to the number of modules. This paper addresses two main proposals. The first one is a master-slave technique to extend the QSW-ZVS mode to an IPOP modular converter, achieving an interleaved solution which minimizes the total input current ripple and assures the current balance among the modules. The second one is a comparison of four different control techniques applied to the IPOP modular converter to improve the overall efficiency at light to medium load: balanced master-slave technique, master-slave with phase-shedding, asymmetrical master-slave and burst mode (or hysteretic control). These four strategies are theoretically analyzed, experimentally validated and compared using a 150V to 400V 2kW modular IPOP prototype made up of four synchronous boost converter operating in QSW-ZVS mode.