ANALYSIS OF A DC CIRCUIT PROBLEM 5 Objective: To Analyse the following DC Circuit using Mesh Analysis & Thevenin’s Theorem. Determine the unknown voltage, Current and Direction of flow across the Circuit. Evaluate Pro’s and Con’s of the Mesh and Thevenin’s Theorem. Assumptions : In the Above Circuit current (I1 , I2 , I3 ) is assumed to be flowing in the conventional direction i.e Clockwise . The Source voltage denoted by XX has been assumed to be 86V. Mesh Analysis Mesh analysis is a method that is used to solve planar circuits for the voltage and currents at any place in the circuit. Mesh analysis uses Kirchhoff’s voltage (and current) laws to understand and solve these planar circuits. Mesh analysis is a systematic approach for solving planar circuits and reduces the number of equations needed to solve the circuit for all of the voltages and currents. Similar methods exist such as the Branch Current method which is similar in its style using Kirchhoff’s and Ohm’s laws. In this case, the circuit will be analysed using a standardized Mesh Analysis using Kirchhoff’s Voltage Law. Indicated in the Figure 1 below are the loop directions (estimated) and the points for analysis of current and voltage have a sun shape about them. Figure 1 Circuit labeled with estimated loop directions Using Kirchhoff’s Voltage Law (KVL) Loop 1 0=-86+I_1 R_25+R_10 (I_1-I_2) 0=-86+25I_1+10(I_1-I_2) 86=35I_1-10I_2 Loop 2 0=R_10 (I_2-I_1 )+R_40 (I_2-I_3 )+R_20 (I_2-I_4) 0=10(I_2-I_1 )+40(I_2-I_3 )+20(I_2-2.5) 50=-10I_1+70I_2-40I_3 Loop 3 0=R_30 I_3-40+R_40 (I_3-I_2) 0=30I_3-40+40(I_3-I_2) 40=-40I_2+70I_3 Converting the above equations into Matrix Format, we get [■(35&-10&0@-10&70&-40@0&-40&70)][■(I_1@I_2@I_3 )... ... middle of paper ... ...need to be sought. Comparatively mesh analysis will allow more detail to come out of the analysis if not faced by similar restrictions (Planar Circuits); Table 3 (above) illustrates that Thevenin analysis does not allow the measurement of current though certain parts of the network. When analyzing a circuit whose potential current (though the whole or part of network) is overly high, Thevenin analysis should not be used for the aforementioned reasons. If the circuit doesn’t have large current changes the ease of calculation with Thevenin‘s method would make this style preferable. In conclusion, it is the engineers’ preference to choose one technique for calculation over the other, although there are some minor differences in the final output of the functions. The examples throughout this document highlight the benefits of Mesh Analysis against Thevenin Analysis.
(t)| (12) The −→ A , −→ C vectors are calculated as in equations 13 and 14 −→ A = 2 −→ A . −→ r 1 − −→ a (13)
The first method of insuring a correct reading is obtained is through using one wattmeter on a balanced load. Using this on an unbalanced load will lead to an inaccurate reading for power. To complete this method a reading with a wattmeter connected from a single line to neutral via the voltage probes and in line with the line on the current probes. By multiplying the value of the wattmeter by three the total system power is found.
Vertex-edge graph is a very interesting and important part of discrete mathematics. The graphs have group of shapes or objects called as vertices and other group whose elements are called as nodes or edges. The node or edge having the same vertex it’s starting and ending both vertices is known as self-loop or simply a loop. If there is one or more than one edge is connecting a given pairs of vertices then they are called as parallel type edges. Let us see tutoring of vertex-edge graph in this article.
The reason I will test my theory is so I can see if ohm's law was
The weakest feature of the paper is that although the formulas, presented by authors, are in general correct, but they do not support the conclusions the author extract from them, and mistake is hidden in the interpretation.
To make it a fair test, the cell terminals will be reversed after the first readings, so that the current would flow in the opposite direction, and then be recorded down again to give repeat readings. The 2 readings for (I) or current will then be averaged, and the 2 readings for (V) or voltage will also be averaged. So that I could calculate the resistance by using the formula: R=V / I (resistance = voltage/current) or (resistance potential difference across the wire/current through the wire)
Their performance can be modelled, predicted and analyzed using equivalent circuits, and this experiment examines one of these circuits. MEASUREMENTS ------------ Short-circuit test: Primary voltage (Vsc) = 26V Primary current (I1) =
The model was then ready to perform a linear static buckling analysis in Ansys. The linear static buckling analysis was set and ran through Ansys. It was then realized that due to having many parts as of being 3D composite structure, the analysis for it to run took excessive computational power and time for it to perform. An error that the CPU power time was exceeded kept on appearing and Ansys stopped running the analysis. It was then concluded that performing this 3D composite analysis requires great amount of computer power and time. Being a symmetric composite structure, it was then concluded that it would be better to perform the analysis using a 2D model.
In this paper, I will talk about how AC circuits can be described by considering voltage and current using complex numbers. An AC circuit requires two separate numbers to be able to completely describe it. This is because it takes into account the amplitude and the phase of the current. The fact that complex numbers can be easily added, subtracted, multiplied or divided with each other makes them ideal for this operation where both amplitude and phase have to work together.
In this paper literature review of different types of battery models are given. These battery models having various characteristics are discussed and these models also described. In this paper, important parameters of battery like state of health(SOH), state of charge(SOC), run time etc. which affect the performance of battery. This paper gives the brief information of battery models. Moreover merits and demerits of these battery models are summarized. Battery is used to store energy basically its convert chemical energy into electrical energy or vice versa. This property of battery is very useful in power system. It has used everywhere for availability of energy. Some of its main applications are grown in last decade of year, these are:
Because to solve a problem analytically can be very hard and spend a lot of time, global, polynomial and numerical methods can be very useful. However, in last decades, numerical methods have been used by many scientists. These numerical methods can be listed like The Taylor-series expansion method, the hybrid function method, Adomian decomposition method, The Legendre wavelets method, The Tau method, The finite difference method, The Haar function method, The...
Trask, J. Chapter 8 Alternative Methods [Power Point slides]. Retrieved from Lecture Notes Online Website: https://compass.illinois.edu/webct/urw/lc5116011.tp0/cobaltMainFrame.dowebct
N. Mohan, T.M. Undeland, W.P. Robbins, “Power Electronics”, John Wiley & Sons, Inc. © 2003
Today, Mathematical Physics has gone far. Due to the rapid advancement and the presence of modern technology like computers, direct numerical method using computers to formulate mathematical models become more and more essential. Using new technologies, the process involved in the formulation of mathematical models becomes simpler and inexpensive.