An equivalent current injection (ECI) based hybrid current-power optimal power flow (OPF) model is proposed in this paper and the predictor-corrector interior point algorithm (PCIPA) is tailored to fit the OPF for solving nonlinear programming (NLP) problems. The proposed method can further decompose into two sub-problems. The computational results of IEEE 9 to 300 buses have shown that the proposed algorithms can enhance the performance in terms of the number of iterations, memory storages and CPU times.