Double Subscript Notation in Single Phase System

In single phase electric power, the double-subscript notation eliminates the need for both the polarity markings for voltages and direction arrows for currents. It is even more useful for representing voltages and currents in three-phase circuits, resulting in greater clarity and less confusion. Voltage Phasor The voltage phasor with double …

Read More »

Three Phase Delta Connection: Three Phase Power,Voltage,Current

Delta Connection In Delta connection, phase sides are connected in a cyclical arrangement in order to make a closed loop as shown in figure 1. As far as line and phase currents are concerned, they are related to each other as: ${{\text{I}}_{\text{line}}}\text{=}\sqrt{\text{3}}{{\text{I}}_{\text{phase}}}$ Which means that whatever supply current we have, …

Read More »

Maxwell Inductance Bridge Circuit

For measurement of inductance, the Maxwell Bridge shown in figure 1 can be employed. It is seen that the circuit of the Maxwell Bridge is simply a repeat of the series resistance-capacitance bridge, with the capacitors replaced by the inductors. Fig.1: Maxwell Bridge  A disadvantage of this bridge is that the …

Read More »

Series Resistance Capacitance Bridge Circuit

One disadvantage of simple Capacitance Bridge is that perfect balance of the bridge is obtained only when Cs and Cx are both pure capacitances (i.e. they have virtually no resistive components). In general, this occurs only with capacitors that have air or mica dielectrics. Capacitors with other types of dielectric …

Read More »

Capacitance Bridge Working Principle

AC bridges are used for measurement of inductances and capacitances. All AC bridge circuits are based on Wheatstone bridge. Figure 1(a) shows the circuit of a simple capacitance bridge. Cs is a precise standard capacitor, Cx is an unknown capacitance, and Q and P are standard resistors, one or both …

Read More »

Single Phase Voltage Calculation | Matlab

Here, we will find phase voltages VAN, VBN, and VCN, shown in the following figure, using Matlab. By applying KVL, we come up with the following three equations: $\begin{matrix}   110\angle {{0}^{o}}=(1+j1){{I}_{1}}+(5+j12){{I}_{1}} & \cdots  & (1)  \\   110\angle -{{120}^{o}}=(1-j2){{I}_{2}}+(3+j4){{I}_{2}} & \cdots  & (2)  \\   110\angle {{120}^{o}}=(1-j0.5){{I}_{3}}+(5-j12){{I}_{3}} & \cdots  & (3)  \\\end{matrix}$ …

Read More »

Time Constant of RC Circuit | Matlab

In this tutorial, we will draw capacitor voltage for different time constants and analyze how it affects the charging time. Let’s assume we have a capacitor of $10\mu F$ capacitance and want to draw voltage across capacitor if: $\begin{align}  & (a)R=1k\Omega  \\ & (b)R=10k\Omega  \\ & (c)R=0.11k\Omega  \\\end{align}$ We will use the …

Read More »

Inverse Laplace Transform of a Transfer Function Using Matlab

In this topic, we will find out how to calculate inverse Laplace of a transfer function using Matlab. Let’s find out Inverse Laplace of the following function \[X(s)\frac{10{{s}^{2}}+20s+40}{{{s}^{3}}+12{{s}^{2}}+47s+60}=\frac{Numerator}{Denumerator}\] Let’s write a little code in Matlab now: Results: Here, we get the following results: Residue =    95.0000  -120.0000    35.0000 …

Read More »

Fourier series of a Square Wave using Matlab

In this tutorial, we will write Fourier series of a simple function using Matlab. Let’s assume we have a square wave with following characteristics: $\begin{align}  & Period=2ms \\ & Peak-to-Peak\text{ }Value=2\text{ }V \\ & Average\text{ }Value=0\text{ }V \\\end{align}$ So, we can express it as: \[\begin{align}  & x(t)=\frac{4}{\pi }\sum\limits_{n=1}^{\infty }{\frac{1}{(2n-1)}\sin \left[ (2n-1)2\pi {{f}_{o}}t …

Read More »

Diode Characteristic Curve Calculation at Different Temperatures using Matlab

In this article, we will draw characteristic curves of a diode at different temperatures. From the following equation, it is evident that the thermal voltage and the reverse saturation current of a diode depend on the temperature. $i={{I}_{s}}\left[ {{e}^{\left( {}^{v}/{}_{n{{V}_{T}}} \right)}}-1 \right]\text{          }\cdots \text{      (1)}$ IS is reverse saturation current …

Read More »