## 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 …

## Three Phase Star Connection (Y): Three Phase Power,Voltage,Current

Star Connection In star connections, fundamentally we connect the same phase sides to a mutual (common) point known as neutral point and provide supply to its free ends which stay thereafter as shown in figure 1. As far as line and phase voltages are concerned, they are related to each …

## 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, …

## 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 …

## 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 …

## 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 …

## 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: $\begin{matrix} 110\angle {{0}^{o}}=(1+j1){{I}_{1}}+(5+j12){{I}_{1}} & \cdots & (1) \\ 110\angle -{{120}^{o}}=(1-j2){{I}_{2}}+(3+j4){{I}_{2}} & \cdots & (2) \\ 110\angle {{120}^{o}}=(1-j0.5){{I}_{3}}+(5-j12){{I}_{3}} & \cdots & (3) \\\end{matrix}$ …

## RL Circuit Charging Discharging | Matlab

In this tutorial, we will see an inductor current behavior in an RL Circuit using Matlab. For the simplified RL circuit demonstrated below, an electric current flowing through an inductor is zero initially. At t = 0, the switch actuated from location a to b, where it stayed for 1 …

## 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 …

## Average Power RMS Voltage RMS Current Power Factor Calculation using Matlab

In this tutorial, we will calculate average power, RMS Voltage, RMS Current as well as power factor using Matlab. Let’s say we have following values of voltage and current: \begin{align} & v(t)=10\cos (120\pi t+{{30}^{o}}) \\ & and \\ & i(t)=6\cos (120\pi t+{{60}^{o}}) \\\end{align} We use the following formula to calculate the RMS …

## Nodal Analysis using Matlab | Nodal Analysis using Matrices

In this tutorial, we will find node voltages for a very simple resistive circuit using Nodal Analysis. While applying KCL, we will assume that currents leaving the node are positive and entering the node are negative. Keeping that fact in mind, let’s write node voltages for each node in the …

## Mesh Analysis using Matlab | Loop Analysis using Matlab

In this tutorial, we will find current which is flowing through resistor RB and the power supplied by the voltage source of 10V. First, let’s assign currents for each loop as I1, I2 and I3 and the power supplied by the source is 10*I1 as we can see from the …

## 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 …

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 …
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 …