The stray field of SMES restricts its site location, although SMES has an a
ttractive potential for power management and quality control, The stray fie
ld outside a solenoid is analyzed by a series of Legendre polynomials, and
the result is applied to the stray fields of various SMES coil configuratio
ns. As long as the summation of magnetic moments from all coils is zero, th
e term of a stray field decreasing as r(p)(-3) can be cancelled out. The hi
gher order of the stray field can vanish if the coil arrangement is optimiz
ed. In this paper we consider a single solenoid as a reference, active shie
ld coils, axially displaced coils and multipole coil to reduce the stray fi
eld. The multipole coil configuration has high potential to drop the stray
field, since the stray field behaves like r(p)(-(3+n/2)), where n is the co
il number.