| Before determining the insulation thickness of
a wire, some knowledge of how breakdown mechanisms work in wire insulation
systems is beneficial. Breakdown voltage in a wire depends on insulation
thickness, insulation material, whether the voltage is ac or dc, and
environmental factors such as temperature, pressure, humidity, and how
it’s mechanically
attached.
Typical failure modes in wire include breakdown through the insulation
wall, interface breakdown while in the encapsulant, and partial discharge
(if the voltage is high enough).
The first failure mechanism can be controlled
by having enough insulation to stand off the voltage as well as the environmental
and mechanical stress and handling that will happen throughout the wire’s
lifetime. Conventional wisdom dictates that the voltage (V) divided by
the insulation thickness (t) provides the value of electrical stress induced in the wire,
mathematically determined by the
simple ratio: E = V / t, where E is the
voltage stress in volts per mil.
However, this model for determining
voltage stress is misleading and
represents only an average across
the wire insulation. True electrical
stresses in wire insulation depend on
the radius of the conductors and
their closest ground plane. Electrical
stress is highest next to the conductor
and decreases outward.
Conductor stranding provides another
complicating factor, which
raises the stress even further.
This configuration is mathematically
expressed as E = (K)2(V)/-
(d)ln(D/k2d), where E, again, is the
voltage stress, D is the outside diameter
of the wire in mils, d is the average
conductor diameter in mils, V is the
voltage, and k, and k2, are proportionality
constant that depends on conductor standing and size.
Once electrical stress is determined,
it can then be compared with
the dielectric strength of the insulation.
Typical values for dielectric
strength offered by material suppliers
are normally given as ac values. These
values are based on the voltage value
at which the insulation breaks down.
While dielectric properties for engineering-
grade materials are typically
available in a manufacturer’s
product literature, the values are not
standardized. For one thing, they
vary with thickness
For example, FEP with a wall
thickness of 1/8 in. has a dielectric
strength of approximately 500 Vac
per mil. However, the dielectric
strength is reported to be as high as
2,000 V per mil for a 10-mil thickness.
Obviously, one would want to ensure
that the actual voltage stress is
sufficiently below the wire’s dielectric strength
over the range of operating
temperatures. Determining this margin
depends on the manufacturer’s literature
as well as empirical data provided
by accelerated life tests.
Accelerated life tests as outlined
in MIL-STD-202, Method 108 and
using appropriate acceleration factors
can provide useful data to determine
life reliability. The objective is
to test a wire using higher than normal
voltage at higher than ambient
temperature for hundreds of hours
to obtain a degree of confidence that
the cable will operate for thousands
of hours at the rated voltage.
Good adhesion between the wire
insulation and encapsulant and its
depth in the encapsulant is critical in
standing off a high-dc-voltage potential.
Surface treatments such as
chemical etching and/or priming of
the wire insulation enhances the adhesive
qualities further. |