Nodal Analysis
In electric circuit analysis, nodal analysis (also referred to as node-voltage analysis or the branch current method) is a method of determining the voltage between nodes (points where elements or branches connect) in an electrical circuit in terms of the branch currents. Nodal analysis is essentially a systematic application of Kirchhoff's current law (KCL) for circuit analysis. Similarly, mesh analysis is a systematic application of Kirchhoff's voltage law (KVL). Nodal analysis writes an equation at each electrical node specifying that the branch currents incident at a node must sum to zero (using KCL). The branch currents are written in terms of the circuit node voltages. As a consequence, each branch constitutive relation must give current as a function of voltage; an admittance representation. For instance, for a resistor, Ibranch = Vbranch * G, where G (=1/R) is the admittance (conductance) of the resistor. Nodal analysis is possible when all the circuit elements' branch c ...
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KCL - Kirchhoff's Circuit Laws
KCL or KCl may refer to: Science and technology * Potassium chloride (KCl), a metal halide salt * Keycode lookup, keycode log, or keycode list * Kirchhoff's current law, in physics * Kyoto Common Lisp, an implementation of Common Lisp Other uses * King's College London King's College London (informally King's or KCL) is a public university, public research university in London, England. King's was established by royal charter in 1829 under the patronage of George IV of the United Kingdom, King George IV ...

Simultaneous Equations
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation system is usually classified in the same manner as single equations, namely as a: * System of linear equations, * System of nonlinear equations, * System of bilinear equations, * System of polynomial equations, * System of differential equations, or a * System of difference equations See also * Simultaneous equations model, a statistical model in the form of simultaneous linear equations * Elementary algebra Elementary algebra, also known as high school algebra or college algebra, encompasses the basic concepts of algebra. It is often contrasted with arithmetic: arithmetic deals with specified numbers, whilst algebra introduces variable (mathematics ..., for elementary methods {{set index article Equations Broad-concept articles de:Gleichung#Gleichungssysteme ...
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Paul Dimo
Paul Dimo (10 June 1905 – 17 April 1990) was a Romanian electrical engineer, creator of REI method of nodal analysis of electric networks. He contributed also to the development of electrification Plan of Romania.AGIR Biography Born in Turnu Severin Drobeta-Turnu Severin (), colloquially Severin, is a city in Mehedinți County, Oltenia, Romania, on the northern bank of the Danube, close to the Iron Gates. It is one of six Romanian county seats lying on the river Danube. "Drobeta" is the name ..., he studied electricity in Paris. Between 1930-1945 he was Head of Gas and Electricity Society in Bucharest. Then he worked as a researcher in the Institute of Energy Engineering of the Romanian Academy. Awards *State prize for the Electrification Plan of Romania (1950) and for the design of hydroelectric power station Moroieni (1954) *Montefiore award for electric networks analysis *Traian Vuia prize of the Romanian Acadedemy for steady stability analysis of electric networks Notes ...
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Charge Conservation
In physics, charge conservation is the principle, of experimental nature, that the total electric charge in an isolated system never changes. The net quantity of electric charge, the amount of positive charge minus the amount of negative charge in the universe, is always '' conserved''. Charge conservation, considered as a physical conservation law, implies that the change in the amount of electric charge in any volume of space is exactly equal to the amount of charge flowing into the volume minus the amount of charge flowing out of the volume. In essence, charge conservation is an accounting relationship between the amount of charge in a region and the flow of charge into and out of that region, given by a continuity equation between charge density \rho(\mathbf) and current density \mathbf(\mathbf). This does not mean that individual positive and negative charges cannot be created or destroyed. Electric charge is carried by subatomic particles such as electrons and proton ...
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Ybus Matrix
In power engineering, nodal admittance matrix (or just admittance matrix) is an ''N x N'' matrix describing a linear power system with ''N'' buses. It represents the nodal admittance of the buses in a power system. In realistic systems which contain thousands of buses, the admittance matrix is quite sparse. Each bus in a real power system is usually connected to only a few other buses through the transmission lines. The nodal admittance matrix is used in the formulation of the power flow problem. Construction from a single line diagram The nodal admittance matrix of a power system is a form of Laplacian matrix of the nodal admittance diagram of the power system, which is derived by the application of Kirchhoff's laws to the admittance diagram of the power system. Starting from the single line diagram of a power system, the nodal admittance diagram is derived by: * replacing each line in the diagram with its equivalent admittance, and * converting all voltage sources to t ...
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Circuit Topology (electrical)
The circuit topology of an electronic circuit is the form taken by the network of interconnections of the circuit components. Different specific values or ratings of the components are regarded as being the same topology. Topology is not concerned with the physical layout of components in a circuit, nor with their positions on a circuit diagram; similarly to the mathematical concept of topology, it is only concerned with what connections exist between the components. Numerous physical layouts and circuit diagrams may all amount to the same topology. Strictly speaking, replacing a component with one of an entirely different type is still the same topology. In some contexts, however, these can loosely be described as different topologies. For instance, interchanging inductors and capacitors in a low-pass filter results in a high-pass filter. These might be described as high-pass and low-pass topologies even though the network topology is identical. A more correct term for ...
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Circuit Diagram
A circuit diagram (or: wiring diagram, electrical diagram, elementary diagram, electronic schematic) is a graphical representation of an Electrical network, electrical circuit. A pictorial circuit diagram uses simple images of components, while a schematic diagram shows the components and interconnections of the circuit using standardized symbolic representations. The presentation of the interconnections between circuit components in the schematic diagram does not necessarily correspond to the physical arrangements in the finished device. Unlike a block diagram or Integrated circuit layout, layout diagram, a circuit diagram shows the actual electrical connections. A drawing meant to depict the physical arrangement of the wires and the components they connect is called ''artwork'' or ''Integrated circuit layout, layout'', ''physical design'', or ''wiring diagram''. Circuit diagrams are used for the design (circuit design), construction (such as Printed circuit board, PCB layout ...
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Ohm's Law
Ohm's law states that the electric current through a Electrical conductor, conductor between two Node (circuits), points is directly Proportionality (mathematics), proportional to the voltage across the two points. Introducing the constant of proportionality, the Electrical resistance, resistance, one arrives at the three mathematical equations used to describe this relationship: V = IR \quad \text\quad I = \frac \quad \text\quad R = \frac where is the current through the conductor, ''V'' is the voltage measured across the conductor and ''R'' is the electrical resistance, resistance of the conductor. More specifically, Ohm's law states that the ''R'' in this relation is constant, independent of the current. If the resistance is not constant, the previous equation cannot be called ''Ohm's law'', but it can still be used as a definition of Electrical resistance and conductance#Static and differential resistance, static/DC resistance. Ohm's law is an empirical law, empirical rel ...
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Mesh Analysis
Mesh analysis (or the mesh current method) is a circuit analysis method for Planar graph, planar circuits; planar circuits are circuits that can be drawn on a Plane (mathematics), plane surface with no wires crossing each other. A more general technique, called loop analysis (with the corresponding network variables called loop currents) can be applied to any circuit, planar or not. Mesh analysis and loop analysis both make systematic use of Kirchhoff's circuit laws, Kirchhoff’s voltage law (KVL) to arrive at a set of equations guaranteed to be solvable if the circuit has a solution.Hayt, William H., & Kemmerly, Jack E. (1993). ''Engineering Circuit Analysis'' (5th ed.), New York: McGraw Hill. Similarly, nodal analysis is a systematic application of Kirchhoff's current law (KCL). Mesh analysis is usually easier to use when the circuit is planar, compared to loop analysis.Nilsson, James W., & Riedel, Susan A. (2002). ''Introductory Circuits for Electrical and Computer Enginee ...
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Supernode In Circuit Analysis
Supernode may refer to: * Supernode (networking), a network proxy in peer-to-peer networks * Supernode (circuit), a theoretical construct in circuit theory * A construct in nodal analysis In electric circuit analysis, nodal analysis (also referred to as node-voltage analysis or the branch current method) is a method of determining the voltage between nodes (points where elements or branches connect) in an electrical circuit in ter ...

Nodal Analysis
In electric circuit analysis, nodal analysis (also referred to as node-voltage analysis or the branch current method) is a method of determining the voltage between nodes (points where elements or branches connect) in an electrical circuit in terms of the branch currents. Nodal analysis is essentially a systematic application of Kirchhoff's current law (KCL) for circuit analysis. Similarly, mesh analysis is a systematic application of Kirchhoff's voltage law (KVL). Nodal analysis writes an equation at each electrical node specifying that the branch currents incident at a node must sum to zero (using KCL). The branch currents are written in terms of the circuit node voltages. As a consequence, each branch constitutive relation must give current as a function of voltage; an admittance representation. For instance, for a resistor, Ibranch = Vbranch * G, where G (=1/R) is the admittance (conductance) of the resistor. Nodal analysis is possible when all the circuit elements' branch c ...
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Supernode (circuit)
In circuit theory, a supernode is a theoretical construct that can be used to solve a circuit. This is done by viewing a voltage source on a wire as a point source voltage in relation to other point voltages located at various nodes in the circuit, relative to a ground node assigned a zero or negative charge. A supernode exists when an ideal voltage source appears between any two nodes of an electric circuit. Each supernode contains two nodes, one non-reference node and another node that may be a second non-reference node or the reference node. Supernodes containing the reference node have one node voltage variable. For nodal analysis, the supernode construct is only required between two non-reference nodes. Nodal analysis It is related to Kirchhoff's current law which states that the total or algebraic sum of currents meeting at a junction or node is zero. Every junction where two or more branches meet is a node. One of the nodes in the network is taken as reference node. If ...
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