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    • 6. 发明授权
    • Biplanar homogeneous field electromagnets and method for making same
    • 双平面场电磁铁及其制造方法
    • US06593742B1
    • 2003-07-15
    • US09515254
    • 2000-02-29
    • Steven M. ConollyPatrick N. Morgan
    • Steven M. ConollyPatrick N. Morgan
    • G01V300
    • G01R33/381
    • The present invention provides biplanar, symmetrical electromagnets for providing a homogeneous magnetic field. The magnets have coils disposed in two parallel planes. The coils in the two planes are identical. The radii and Ampere-turns of the coils are selected so that a magnetic field between the planes is homogeneous. One preferred embodiment has 6 coils, with 3 coils in each plane. Other embodiments have 8, 10, 10, 12, or more coils. The method of making the coils begins with an equation for the spherical harmonic coefficients describing the fields from a coil as a function of radius, position and Ampere-turns. For a magnet with K coils, the first K−1 even spherical harmonic coefficients are set equal or close to zero (the odd coefficients are zero due to symmetry of the magnet). This produces a set of equations that, when solved, provides the radii, positions, and Ampere-turns of the K coils. The method can be used to design a biplanar, symmetrical electromagnet with any even number of coils. In an alternative method, fewer than K−1 spherical harmonic coefficients are constrained. In a preferred embodiment, other constraints are used such as constraints on magnetic field efficiency, power consumption, magnet size, inductance or coil conductor volume are used.
    • 本发明提供用于提供均匀磁场的双平面对称电磁体。 磁体具有设置在两个平行平面中的线圈。 两个平面中的线圈是相同的。 选择线圈的半径和安培匝数,使得平面之间的磁场是均匀的。 一个优选实施例具有6个线圈,每个平面具有3个线圈。 其他实施例具有8,10,10,12或更多个线圈。 制造线圈的方法以描述来自线圈的场作为半径,位置和安培匝的函数的球谐函数的方程式开始。 对于具有K个线圈的磁体,第一个K-1偶次球面谐波系数设置为等于或接近零(由于磁体的对称性,奇数系数为零)。 这产生一组方程式,当解决时,提供K线圈的半径,位置和安培匝数。 该方法可用于设计具有任何偶数线圈的双平面对称电磁体。 在另一种方法中,限制小于K-1球谐函数。 在优选实施例中,使用其它约束,例如使用对磁场效率,功耗,磁体尺寸,电感或线圈导体体积的限制。
    • 7. 发明授权
    • Biplanar homogeneous field electromagnets and method for making same
    • 双平面场电磁铁及其制造方法
    • US06208143B1
    • 2001-03-27
    • US09289528
    • 1999-04-09
    • Steven M. ConollyPatrick N. Morgan
    • Steven M. ConollyPatrick N. Morgan
    • G01V300
    • G01R33/381
    • Biplanar, symmetrical electromagnets for providing a homogeneous magnetic field. The magnets have coils disposed in two parallel planes. The coils in the two planes are identical. The radii and Ampere-turns of the coils are selected so that a magnetic field between the planes is homogeneous. One preferred embodiment has 6 coils, with 3 coils in each plane. Other embodiments have 8, 10, 12, or more coils. The method of making the coils begins with an equation for the spherical harmonic coefficients describing the fields from a coil as a function of radius, position and Ampere-turns. For a magnet with K coils, the first K-1 even spherical harmonic coefficients are set equal to zero (the odd coefficients are zero due to symmetry of the magnet). This produces a set of equations that, when solved, provides the radii, positions, and Ampere-turns of the K coils. The method can be used to design a biplanar, symmetrical electromagnet with any even number of coils.
    • 双平面,用于提供均匀磁场的对称电磁体。 磁体具有设置在两个平行平面中的线圈。 两个平面中的线圈是相同的。 选择线圈的半径和安培匝数,使得平面之间的磁场是均匀的。 一个优选实施例具有6个线圈,每个平面具有3个线圈。 其他实施例具有8,10,12个或更多个线圈。 制造线圈的方法以描述来自线圈的场作为半径,位置和安培匝的函数的球谐函数的方程式开始。 对于具有K个线圈的磁体,第一个K-1偶次球面谐波系数设置为零(由于磁体的对称性,奇数系数为零)。 这产生一组方程式,当解决时,提供K线圈的半径,位置和安培匝数。 该方法可用于设计具有任何偶数线圈的双平面对称电磁体。