Cableizer ®

Angular frequency

Symbol
$\omega$
Unit
rad/s
Formulas
$2\pi f$
Related
$f$
System frequency [Hz]
$\pi$
Archimedes' constant $\pi$
Used in
$B_1$
Loss coefficient $B_1$ armour [$\Omega$/m]
$B_2$
Loss coefficient $B_2$ armour [$\Omega$/m]
$\beta_1$
Substitution coefficient $\beta_1$ for eddy-currents
$E_a$
Induced shield voltage phase a [V/m]
$E_b$
Induced shield voltage phase b [V/m]
$E_c$
Induced shield voltage phase c [V/m]
$E_{mag}$
Magnitude of voltages [V/m]
$E_p$
Induced shield voltage conductor p [V/m]
$I_C$
Capacitive load current [A/m]
$I_{Ce}$
Capacitive earth short-circuit current [A/m]
$I_{EMF}$
Phase current for EMF calculation [A]
$L_{crit}$
Critical length [km]
$\lambda_{12}$
Loss factor shield, eddy currents
$\lambda_2$
Loss factor armour
$\lambda_{21}$
Loss factor armour, circulating currents
$m_0$
Substitution coefficient $m_0$ for eddy-currents [Hz.m/$\Omega$]
$m_E$
Parameter m earth return
$m_{z,ar}$
Parameter m armour
$m_{z,c}$
Parameter m conductor
$m_{z,e}$
Parameter m earth
$m_{z,s}$
Parameter m shield
$m_{z,sc}$
Parameter m screen
$m_{z,sh}$
Parameter m sheath
$P_C$
Charging capacity [var/m]
$P_L$
Active power load-side [kW]
$R_E$
Equivalent resistance of earth return path [$\Omega$/m]
$V_{drop}$
Voltage drop [V/(A.m)]
$W_d$
Dielectric losses (phase) [W/m]
$w_d$
Volumetric density of dielectric losses [W/m$^3$]
$X_1$
Positive sequence reactance [$\Omega$/m]
$X_a$
Self reactance conductor [$\Omega$/m]
$X_{ap}$
Equivalent mutual reactance between conductors [$\Omega$/m]
$X_{ar}$
Self reactance armour [$\Omega$/m]
$X_c$
Mutual reactance between middle and outer cables in flat formation with earth return [$\Omega$/m]
$X_{cp}$
Zero-sequence reactance steel pipe [$\Omega$/m]
$X_d$
Reactance steel pipe [$\Omega$/m]
$X_e$
Self reactance screen/sheath [$\Omega$/m]
$X_{ij}$
Mutual reactance between conductors i + j [$\Omega$/m]
$X_L$
Mutual reactance between outer cables in flat formation [$\Omega$/m]
$X_m$
Mutual reactance between conductors flat formation without transposition [$\Omega$/m]
$X_{mut}$
Mutual reactance [$\Omega$/m]
$X_s$
Self reactance screen/sheath [$\Omega$/m]
$X_{S1}$
Reactance section 1 [$\Omega$/m]
$X_{S2}$
Reactance section 2 [$\Omega$/m]
$X_{S3}$
Reactance section 3 [$\Omega$/m]
$X_{sky}$
Reactance skywire [$\Omega$/m]
$Y_1$
Positive sequence admittance [S/m]
$Y_{ag}$
Admittance armour - ground [S/m]
$Y_{cs}$
Admittance conductor - shield [S/m]
$Y_{sa}$
Admittance shield - armour [S/m]
$Y_{sg}$
Admittance shield - ground [S/m]
$Z_{ct}$
Self impedance earth continuity conductor [$\Omega$/m]
$Z_{kp}$
Impedance between cable k and p in ground [$\Omega$/m]
$Z_{mt}$
Equivalent mutual impedance between earth continuity conductor and any cable [$\Omega$/m]
$Z_{oig}$
Mutual impedance between shields/sheaths of inner and outer cables with ground return [$\Omega$/m]
$Z_{oog}$
Mutual impedance between shields/sheaths of outer cables with ground return [$\Omega$/m]
$Z_{ss}$
Self impedance of the shield/sheath with ground return [$\Omega$/m]
$\mathcal{Z}_2$
Impedance insulation conductor—screen [$\Omega$/m]
$\mathcal{Z}_{34}$
Impedance insulation shield—armour [$\Omega$/m]
$\mathcal{Z}_{56}$
Impedance jacket [$\Omega$/m]
$\mathcal{Z}_6$
Impedance insulation screen—sheath [$\Omega$/m]
$\mathcal{Z}_g$
Impedance earth return in ground [$\Omega$/m]