Multiobjective Laguerre Functions<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><mml:mo>−</mml:mo></mml:math>Based Discrete<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><mml:mo>−</mml:mo></mml:math>Time Model Predictive Control: A Fast Inner<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><mml:mo>−</mml:mo></mml:math>Loop Controller for Grid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><…

In islanded ac microgrids, conventional primary control uses inner−loop cascaded linear controller and outer−loop droop to realize local voltage regulation power sharing. However, it has a poor dynamic performance fast rate of frequency change following disturbances. This paper addresses these issues by proposing modified virtual synchronous generator (VSG) control. A Laguerre functions−based discrete−time model predictive (LF−DMPC) with multiobjective cost function is incorporated as the inner loop; yielding large prediction horizon, improved response, inherent overcurrent protection in case faults. The swing−based reactive controllers also form outer loop aimed at inertia emulation merits proposed approach are verified comparisons VSG controls. Detailed simulations conducted on 2−converter microgrid MATLAB/Simulink show efficacy controller.