📖 ABSTRACT/OVERVIEW
Background: Power electronic converters in renewable energy microgrids exhibit nonlinear dynamic behaviour including period doubling and chaos under certain operating conditions, posing stability risks to Nigerian rural micro-grids. A comprehensive analysis and control framework is required. Aim: This study analysed nonlinear dynamics and chaos in DC-DC and DC-AC converters used in Nigerian renewable energy microgrids and developed advanced nonlinear control strategies to ensure stability. Methods: Bifurcation analysis, Lyapunov exponent computation, and Poincare section mapping were performed on average and switched models of boost and buck-boost converters representative of Nigerian solar micro-grid components. Nonlinear control strategies including sliding mode control and backstepping control were designed, simulated in MATLAB Simulink, and validated on hardware prototypes. Results: Period-3 and chaotic orbits were identified in boost converters at input voltage variations exceeding 35% under proportional controllers. Sliding mode control suppressed chaotic behaviour and maintained output voltage regulation within 2% across the full input range. Transient recovery time improved by 64% compared with conventional PI control. Conclusion: Chaotic dynamics pose real operational risks to Nigerian solar microgrids operating under wide input variations. Sliding mode control provides a robust engineering solution and should be incorporated into micro-grid converter design guidelines for Nigerian applications. Keywords: nonlinear dynamics, power converters, chaos control, sliding mode control, renewable energy microgrids.
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