Abstract
Modulated Model Predictive Control Applied to LCL-Filtered Grid-Tied Inverters: A Convex Optimization Approach
Highlights
The increase in the use of renewable energy sources throughout the world due to economic and environmental reasons leads to the proliferation of grid-connected converters (GCCs), which interface the primary source and the power grid [1], [2]
Model Predictive Controllers (MPC) for Power Electronics can be described by two main categories, continuous control set (CCS-MPC) and finite control set (FCS-MPC) [12]
A two-level three-phase grid-tied inverter connected to the grid at the point of common coupling (PCC) by means of an LCL filter is shown in Figure 1, where uab and ubc are the output voltages of the inverter, i1a, i1b and i1c are the converter-side currents, vab and vbc the voltages across the capacitors, and i2a, i2b and i2c are the grid-side currents
Summary
The increase in the use of renewable energy sources throughout the world due to economic and environmental reasons leads to the proliferation of grid-connected converters (GCCs), which interface the primary source and the power grid [1], [2]. These issues led to the developments presented in [19], where an M2PC strategy with two MPC loops was proposed for NPC converters with L filters. This simplified model is based only on the measurement of the converter-side currents and capacitor voltages, providing a reduction in the number of sensors used in the system, which is especially useful in applications where the cost of sensors is more relevant, such as in low voltage applications In both cases the optimization problem is solved based on the Karash-Kuhn-Tucker conditions, leading to a single-stage procedure which allows the use of an M2PC strategy with less computational burden. An eigenvalue analysis, which is used to guide the choice of the control parameters based on a simplified study of the closedloop stability, is presented in the Appendix A
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