The interoperability of wind and solar energy is a potential alternative to improve reliability and reduce the probability of an energy supply crisis. Due to the stochastic nature of both the sources, maintaining high quality performance in grid-intertie hybrid energy systems, particularly for non-linear loads, is essential for efficient use of energy. This paper presents a novel gaussian kernel least mean sixth (GKLMSi) grid interactive algorithm for the hybrid renewable energy system along with adaptively controlled dc link voltage. GKLMSi adaptive control effectively tracks various time varying power quality events such as, voltage fluctuations, load disturbances, reactive power variations and harmonic parameters that are of high-order non-linearities. Furthermore, the adaptive dc link voltage control reduces stress on the converters during voltage fluctuations and generates just enough dc link reference for converter current control. This minimizes switching losses and enhances the effectiveness of the system by increasing the grid power delivery, especially for the low voltage operations.