Biplanar coil design method and system for synchronously compensating magnetic field gradient and uniformity

The invention discloses a biplanar coil design method and system for synchronously compensating magnetic field gradient and uniformity, and the method comprises the steps: S1, determining the size of a biplanar coil, and obtaining a flow function of the biplanar coil through Fourier series expansion; s2, setting target magnetic field matrixes of the shimming coil and the gradient field coil, calculating to obtain the magnetic field intensity of the biplanar coil according to the Biot-Saval law and the stream function, and establishing an overdetermined equation set; s3, calculating and solving an overdetermined equation set by using an L2 regularization method to obtain a numerical solution of the stream function, and drawing a contour line of the stream function; s4, judging an error between the target magnetic field and the actual magnetic field according to the numerical solution of the stream function, and if the error meets a preset requirement, drawing a shape graph of the biplanar coil according to the