Grid Tied Inverter MATLAB Simulink — Simulation & Power Modeling

Abstract — Grid Tied Inverter MATLAB Simulink

model principle (IMP), which in case of grid-tied inverters yield to the multi-resonant and repetitive controllers. employing a proportional-multiple-resonant (PMR) controller with transfer function Figure 1: Power Converter Circuit Schematic & Electrical Interfacing for Grid Tied Inverter Matlab Simulink $$C(s) = \frac{u_v(s)}{e(s)} = k_{e} +\sum_{i=1,3,\dots}^{h}\frac{k_{{2i-1}} +k_{{2i}}s}{s^{2} +2\xi_{i}\omega_{r_i} s +\omega_{r_i}^{2}}$$ where $k_{e}$ , $k_{{2i-1}}$ , and $k_{{2i}}$ are gains to be determined, $\xi_{i}$ is the damping factor of the $i$ -th resonant mode and $\omega_{r_i}$ the $i$ -th multiple of the fundamental frequency $\omega_0$ .

Analytical & State-Space Control Methodology

An appropriate design of $C(s)$ , considering a sufficient number of resonant modes, results in grid-tied controllers allowing to perfectly follow a sinusoidal current reference and its harmonic frequencies when supplying non-linear loads. Figure 2: Power Converter Circuit Schematic & Electrical Interfacing for Grid Tied Inverter Matlab Simulink where $x_{a}(t) = [x'(t)\ x_{r}'(t)]' \in \mathbb{R}^{3+2h}$ is the augmented state where $x(t) = [i_L(t)\ v_c(t)\ i_o(t)]'$ , $x_r(t)$ contains the resonant states and $$K = [k_{c}\quad k_{v}\quad k_{g}\quad k_{1}\quad k_{2}\quad \cdots\quad k_{2h-1}\quad k_{2h}].$$ The project involves the simulation and analysis of a 50KW grid tied photovoltaic inverter system using MATLAB/ simulink .

Simulink Waveforms & Power Quality Findings

the model is designed to convert DC power generated from a photovoltaic (PV) source into AC power that can be synchronized and fed into the utility grid . It demonstrates the core functionality of inverter-based renewable energy systems used in real-world solar power plants. The system includes a DC power source (representing solar PV output), a power electronic inverter configured for DC-AC conversion, and a grid interface for synchronization with the main supply. Filtering components are included to reduce harmonic distortion and ensure waveform quality. The model simulates key aspects such as voltage and current waveforms, grid synchronization, and real power transfer to the grid.

Scope & Practical Applications

• High-efficiency DC-DC converters and isolated resonant topologies (LLC / DAB)
• Sinusoidal and Space Vector PWM inverters for grid integration & industrial motor drives
• MOSFET / IGBT gate driver optimization with active Miller-clamp shoot-through protection
• Power quality conditioning with Total Harmonic Distortion (THD) strictly compliant with IEEE 519
• Complete Simscape .SLX model files, parameter calculation scripts, and IEEE dissertation reports