Table 1

Table 2

Table 3

Figures at a glance

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7

Figure 8

Figure 9

FIGURE 1

Figure 1: 1-a The frequency dependence of the permittivity and the imaginary part of unprocessed LDPEgrade LA071.
The frequency dependence of the real part of the complex permittivity of LDPE grade LA071 under various electric fields.
.The frequency dependence of the imaginary part of the complex permittivity of LDPE grade LA071 under various electric fields.

FIGURE 2

Figure 2: Cole-Cole plots of () versus () for modified LDPE under different electric fields at room temperature. The inset presents a distorted arc for unprocessed LDPE grade LA071.
Frequency variation of the ratio (/)for modified LDPE grade LA071samples under different electric fields.

FIGURE 3

Figure 3: The plot of log (  - ) versus log (/ω) for LDPE grade LA071samples under electric fields (of 0 V/cm, 102 V/cm and 50×103 V/cm).

FIGURE 4

Figure 4-a, b. Variation in loss tangent (tan δ)of modified LDPE grade LA071 samples under varying electric fields (kVcm-1) at different frequencies.
Figure 4-c. Frequency variation of loss tangent (tan δ) for modified LDPE grade LA071 samples under different electric fields.

FIGURE 5

Figure 5: Power law fit cable loss data for modified LDPE grade LA071 samples under different electric fields.

FIGURE 6

Figure 6: Frequency variation with dielectric constant DC and dissipation factor DF values for modified LDPE grade LA071 samples under different electric fields.

FIGURE 7

Figure 7: Magnification of the megahertz insulation region in Figure 6.

FIGURE 8

Figure 8:Variationin a.c. conductivity with the frequency of modified LDPE grade LA071 samples under different electric fields. The continuous solid line in the σ spectra represents the fit of the experimental data to the power law .

FIGURE 9

Figure 9:Dependence of a.c. the conductivity of LDPE grade LA071 under various electric fields at different frequencies= (103 Hz and 104Hz).

Table 1

Electric Field (KV/cm)	The mean relaxation time τ (sec)	Exponent	R2
0	1.2246 x10-4	0.808	0.988
0.1	7.8886 x10-4	0.863	0.995
0.5	8.6496 x10-5	0.989	0.993
1	4.3052 x10-5	0.815	0.974
5	1.3835 x10-5	1.141	0.978
10	1.2445 x10-5	0.56	0.918
50	3.221 x10-6	0.960	0.979
100	6.16 x10-7	1.237	0.963

Table 1:Relaxation data of LDPE grade LA071

Table 2

Electric Field KV/cm	Pre- Exponential	Exponent α	R2
0	0.00296	0.5936	0.9032
0.1	0.1567	0.5373	0.9307
1	0.0326	0.5332	0.967
5	0.0568	0.4426	0.8844
10	0.04614	0.4428	0.9614
50	0.1827	0.3393	0.9489
100	0.9258	0.1459	0.9163

Table 2:Summary of power-law fit to cable loss data of LDPE grade LA071 affected by different electric fields.

Table 3

Electric Field KV/cm	Pre Exponential	Exponent n	R2
0	4 x10-12	0.897	0.966
0.1	1 x10-12	0.878	0.986
1	1 x10-12	0.875	0.986
5	1 x10-12	0.873	0.986
10	1 x10-15	0.871	0.986
50	1 x10-15	0.866	0.986
100	1x10-12	0.867	0.986

Table 3: Fit of the experimental data to the power-law