This work proposes the modeling, design and a comparative study of P&O and incremental conductance MPPT control algorithms for power boost converter for photovoltaic power generation in connected smart micro grid. Under non-linear output of a photovoltaic module PV and different irradiance and temperature levels the proposed model and the comparative study are tested and evaluated with operating point changes and effect of restore inductance filter of power boost converter. A behavioral analysis of the proposed model and two maximum power point tracking algorithms in terms of speed, accuracy, and stability has been established through numerical simulation.