Chaos, multistability and coexisting behaviours in small-scale grid: Impact of electromagnetic power, random wind energy, periodic load and additive white Gaussian noise

This paper explores nonlinear analysis of a novel small-scale grid (SSG) and studies the impact of electromagnetic power, random wind power, periodic load and additive white Gaussian noise. Different behaviours such as period doubling bifurcation, chaos, chaos breaking and multistability are investigated and stability issues are revealed in the proposed small-scale grid. Qualitative and quantitative tools such as phase portraits, bifurcation diagrams, Lyapunov exponents, Lyapunov spectrum and basin of attraction are utilised to verify different dynamic behaviours. Erosion of basin region with varying parameter and external noise is reported. Further, the study of unlike behaviours, multistability and coexistence of attractors may be of capital importance in the dynamic evolution of SSG behaviour since serious impediment may occur even after the required safeguards. The present study is expected to be potentially useful in a variety of modern or future power systems, microgrids etc. Numerical simulation is achieved and presented in the MATLAB environment. (author)