The invention discloses a stator flux linkage calculation method based on vector transformation and signal filtering. An alternating current motor stator flux linkage voltage model is used to carry out amplitude and phase transformation on an input back electromotive force vector to directly acquire an original stator flux linkage vector. Through signal filtering and compensation, an anticipant stator flux linkage is acquired. Vector transformation schemes based on a programmable low pass filter (LPF) and a band pass filter (BPF) are respectively designed. According to the principle that calculation flux linkage amplitude is converged to a given flux linkage value as soon as possible, an optimized function is acquired. LPF and BPF advantages are combined to acquire the flux linkage calculation method of the optimal performance. Furthermore, a BPF algorithm is decomposed, so that the structure of the optimized flux linkage algorithm is simplified. The calculation quantity is reduced, and system resources are saved. According to the invention, the algorithm has little dependence on motor parameters, and has the advantages of wide application range and high portability; and the calculated flux linkage has the advantages of small distortion and high accuracy.