In this paper, second harmonic generation (SHG) in microring (MR) resonator with Bragg reflection waveguide (BRW) is investigated numerically using finite element method. Our proposed structure uses strong modal dispersion properties of BRW for enhancement of SHG process in microrings MRs. By considering thermo-optic effect, we show that the proposed device is more sensitive to temperature in comparison with previously studied AlGaAs/AlOx waveguide, which makes it more suitable for use in thermal applications. According to the simulation results, six degrees of centigrade is sufficient for switching between active wavelengths of the structure and thermal tuning. Thermal compensation of fabrication tolerances of the structure is also investigated.