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, XL = 2πfL = ωL (ohm)

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

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

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

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

Q-Factor = 1/R√(L/C)

Resonance Condition, XL = XC  Power Factor = 1

V = IZ

I = V / Z = YV

Admittance, Y = 1/Z = 1/R + j (1/XC– 1/XL) =  1/R + j (ωC – 1/ωL)

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

Inductive Susceptance, BL = 1 / XL = 1/ωL

Capacitive Susceptance, BC = 1/ XC = 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)

VL = √3xVP   VP = VL/√3, IL = I(Star Connection)

IL = √3xIP    IP = IL/√3 , VL =V(Delta Connection)

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