Bangladesh faces increasing energy demand and heavy reliance on fossil fuels, underscoring the urgent need for sustainable power generation through renewable sources. This study presents the design and techno-economic analysis of a grid-connected photovoltaic (PV) system with net metering for the KUET Medical Center, Bangladesh. The objective is to evaluate the technical feasibility and economic viability of utilizing solar energy to meet the facility’s annual electricity demand of 15,500 kWh. The system design and performance assessment were conducted using the PVSOL simulation platform, incorporating 20 years of meteorological data for Khulna obtained from Meteosyn. A detailed 3D rooftop model was developed to optimize module orientation, tilt angle, and shading conditions. The proposed configuration comprises 188 First Solar FS-6425 PV modules and seven LG ESS HOME 10 inverters. Simulation results demonstrate that the designed PV system can fully offset the center’s annual energy consumption while exporting surplus power to the national grid under the net metering framework. The financial evaluation indicates a payback period of approximately 21 years, confirming the system’s long-term economic sustainability. Beyond cost savings, the system enhances energy security, reduces carbon emissions, and supports Bangladesh’s renewable energy expansion goals. The findings validate the suitability of PVSOL as an effective simulation tool for institutional rooftop solar design. Future work may include field validation and techno-economic optimization integrating demand response and dynamic load profiling.