With the growing size and increasing load of power systems

it has great significance in practice to solve the large-scale ill-conditioned power flow problems accurately and efficiently. The continuous Newton's method(CNM)is applied to solve the ill-conditioned cases of large-scale power systems by equalizing the solving process of nonlinear equations to the numerical integration of ordinary differential equations. The coordination architecture of central processing unit(CPU)and graphics processing unit(GPU)is used to accelerate power flow calculations with CNM. Unbalanced power analysis is designed and implemented on GPU. Every part of the whole algorithm is optimized in consideration of characteristics of the coordination architecture to form an efficient solving method. Large-scale ill-conditioned cases are presented to verify the correctness and practicality of the proposed CPU and GPU coordinated power flow computation method.