EEE Formula (Part-1)

EEE Formula. ইলেকট্রিক্যাল এর সুত্রগুলি সাজানো থাকছে , এখানে পার্ট-১ দেয়া হল।
Sinusoidal Voltages and Currents:

Effective Value = 0.707 × Peak Value

Average Value = 0.636 × Peak Value

Peak Value = 1.414 × Effective Value

Effective Value = 1.11 × Average Value

Peak Value = 1.57 × Average Value

Average Value = 0.9 × Effective Value

Form Factor = Effective Value/ Average Value = 1.11

Peak Factor = Maximum Value/ Effective Value = 1.414

Effective Value = R.M.S Value

Speed Vs Poles Formula:
f = NP/120

N = 120f/P

P = 120f/N
Here, f = Frequency, N = Speed of Rotation (RPM), P = Number of Poles, 120 = Time constant.

Power Factor (PF):
PF = Actual Power/Apparent Power

= Watt / (Volts × Amperes)
= kW / kVA
= R/Z
= Cosφ

Ohm’s law:
R = V/I = V² /P = P/I²

V = P/I = IR = √(RP)

I = V/R = P/I = √(P/R)

P = VI = V²/R = I²R

AC Circuit:
Inductive Reactance, X_L = 2πfL = ωL (ohm)

Capacitive Reactance, X_C = 1/2πfC = 1/ωC (ohm)

Impedance, Z = R+jX_L (R-L Series ckt)

Impedance, Z = R- jX_C (R-C Series ckt)

Impedance, Z = R+j(X_L – X_C) = R²+(X_L – X_C)² [R-L-C Series ckt]

Q-Factor = 1/R√(L/C)

Resonance Condition, X_L = X_C Power Factor = 1

V = IZ

I = V / Z = YV

Admittance, Y = 1/Z = 1/R + j (1/X_C– 1/X_L) = 1/R + j (ωC – 1/ωL)

Y = G + j B (Here, conductance G = 1 / R represents the real (conductive) component and B = ( B_C –
B_L ) is the imaginary (reactive) part)

Inductive Susceptance, B_L = 1 / X_L = 1/ωL

Capacitive Susceptance, B_C = 1/ X_C = ωC

Power:
1 kW = 1.341Hp

1Hp = 0.746 kW

Hp= Horsepower, kW = Kilowatt

VA = VxI

Watt = VICosφ

VAR = VISinφ

Single Phase power:
kVA = VxI/1000, kW = VxIxPF/1000, I = kWx1000/VxPF, V = kWx1000/IxPF

Three Single Phase Power:
kVA =√3x VxI/1000, kW = √3xVxIxPF/1000, (P = 1.732VICosφ)

V_L = √3xV_P V_P = V_L/√3, I_L = I_P (Star Connection)

I_L = √3xI_P I_P = I_L/√3 , V_L =V_P (Delta Connection)