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. 2023 Feb 3;23(3):1685. doi: 10.3390/s23031685
Symbol Name Unit
A mobility constant S/m
ADC analogical digital converter -
Cp parallel capacity F
CN reference capacitor F
D˜ incidence matrix face–volume in dual mesh -
DSP digital signal processing (Figure 7a) -
E¯ & E¯∗ complex electric field and its conjugate V/m
Eac activation energy eV
f frequency Hz
G, Gt incidence matrix edges–nodes of primal mesh and transpose mat. -
Gp conductance S
 g1,  g2,  gsp objective functions -
Ic incidence vector of relative cohomology between oil volume and electrode surface -
I¯Cp complex capacitive current A
I¯N complex reference capacitor intensity A
I¯Rp complex resistive current A
I¯t complex total current A
j imaginary unit -
J→ volumetric density current A/m2
K Boltzmann constant J/K
Mε electrical permittivity constitutive matrix F
Mσ electric conductivity constitutive matrix S
PJoule average total losses over time–rms value W
QF quality factor -
Rp parallel resistance Ω
RX,RN highly accurate shunts RX and RN Ω
T temperature °C, K
t, t1,  t2 time s
tan δ tangent of delta -
tan δC conduction -
tan δH dielectric hysteresis -
tan δP polarization -
tan δI ionization -
U¯Test complex test voltage V
U¯X, U¯N complex voltage in shunts RX and RN V
v volume m3
We time-averaged electrical energy–rms value J
Y¯p complex admittance S
ε electrical permittivity of the medium F/m
εr relative electrical permittivity -
ε0 electrical permittivity in vacuum F/m
ρ resistivity Ω·m
σ electric conductivity S/m
φ scalar electric potential V
φm phase difference between voltages U¯N and U¯X rad
φX angle of I¯t rad
φ1 angle of I¯N rad
ω angular frequency rad/s