Moisture and aging strongly influence the dielectric properties of oiycellulose insulation systems. Dielectric measurements can therefore be used for assessing the condition of oUpaper insulation. In this paper, we report on measurements and modeling of recovery voltages and polarization and depolarization current measurements on composite oiYpaper insulation. A numerical model allows us to model the response of the composite system from knowledge of the dielectric properties of the constituents (03 and paper). In particular we demonstrate the consistency between recovery voltages and polarization and depolarization current measurements and show the influence of material properties on dielectric response.
I. Basic Theory of Dielectric ResponseThe basic theory of dielectric response as it pertains to the analysis described in this paper have been developed in references [ l,2] and reproduced here for convenience. Assuming a homogeneous electric field E(t) is applied to a singZe dielectric material, the current density through the surface of the material can be written as:The current density J(Q is the sum of the conduction current and the displacement current, where (T is the DC conductivity and D(t) is the electric displacement given below.
o(f) = E O E , E ( f ) + @ ( t )(2) so and E, are respectively, the permittivitty of vacuum and of the dielectric material. P(t) is the dielectric polarization and is related to the response function of the material by the relationship:The response function can be derived from measurements of polarization (charging) and depolarization currents. If we consider the case where an insulation system with geometrical capacitance CO is exposed to a step voltage, U, , the charging current is given by, (4) and the depolarization current is given by.where fChqinz is the length of thc charging period. Another method of obtaining the response of a dielectric is by measuring the recovery voltage of the dielectric system. A DC voltage, U,, is applied to the composite insulation for a period of time tl. The insulation is then grounded for a subsequent time period t2-tl. After this grounding period, the ground potential is removed from the insulation and for time period t~2 , a voltage recovers across the insulation as the test object is recharged by its own depolarization current.The current density that applies during a recovery voltage measurement can be obtained by substituting Equations 2 and 3 into Equation 1.4k@?i&l=-c$?a G-(9-f(t+bg,>>During the recovery voltage period, the current density is zero (0), so Equation 6 is solved with J(t) set to zero.
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