The Power Flow Equations
... student may have already been introduced to them in the form of current sources at a node. Current injections may be either positive (into the bus) or negative (out of the bus). Unlike current flowing through a branch (and thus is a branch quantity), a current injection is a nodal quantity. The admi ...
... student may have already been introduced to them in the form of current sources at a node. Current injections may be either positive (into the bus) or negative (out of the bus). Unlike current flowing through a branch (and thus is a branch quantity), a current injection is a nodal quantity. The admi ...
Kirchhoff`s laws from Tellegen`s Theorem
... i. Let ia1 = –4, ia2 = 7 and ia3 = 2. KCL is violated in Na. Tellegen’s equation gives –4vb1 + 7vb2 + 2vb3 = 0. Using KVL we get 3vb2 – 2vb3 = 0. This is an additional constraint on voltages. It does not allow us to choose all v satisfying KVL in Nb. Hence Th. 3 is not applicable. If we take ia1 = ...
... i. Let ia1 = –4, ia2 = 7 and ia3 = 2. KCL is violated in Na. Tellegen’s equation gives –4vb1 + 7vb2 + 2vb3 = 0. Using KVL we get 3vb2 – 2vb3 = 0. This is an additional constraint on voltages. It does not allow us to choose all v satisfying KVL in Nb. Hence Th. 3 is not applicable. If we take ia1 = ...
Chapter 19
... that we relate the terminal quantities V1, V2, I1, and I2. • Out of these only two are independent. • The terms that relate to these voltages and currents are called parameters. • Impedance and admittance parameters are commonly used in the synthesis of filters. • They are also important in the desi ...
... that we relate the terminal quantities V1, V2, I1, and I2. • Out of these only two are independent. • The terms that relate to these voltages and currents are called parameters. • Impedance and admittance parameters are commonly used in the synthesis of filters. • They are also important in the desi ...
PDF
... flowing from the bus p, as shown in Fig. 2. According to KCL, Eq. 9 defines the factor function fE. ...
... flowing from the bus p, as shown in Fig. 2. According to KCL, Eq. 9 defines the factor function fE. ...
... This paper provides tutorial introduction to linear block codes, factor graph, Bayesian network and message passing algorithm. In coding theory, to enable reliable delivery of bit stream from its source to sink over noisy communication channel error correcting codes like linear block codes and LDPC ...
Chapter 1 - Introduction
... – name ring arises because one can imagine the computers and the cables connecting them arranged in a circle as Figure 13.7 illustrates • In practice, the cables in a ring network do not form a circle • Instead, they run along hallways or rise vertically from one floor of a building to another ...
... – name ring arises because one can imagine the computers and the cables connecting them arranged in a circle as Figure 13.7 illustrates • In practice, the cables in a ring network do not form a circle • Instead, they run along hallways or rise vertically from one floor of a building to another ...
i 2
... of coupled equations in several unknown variables. These coupled equations can be solved in several ways • Solution with matrices and determinants • Direct substitution ...
... of coupled equations in several unknown variables. These coupled equations can be solved in several ways • Solution with matrices and determinants • Direct substitution ...
Norton`s Theorem
... case, the original circuit with the load resistor removed is nothing more than a simple series circuit with opposing batteries, and so we can determine the voltage across the open load terminals by applying the rules of series circuits, Ohm's Law, and :Kirchhoff's Voltage Law ...
... case, the original circuit with the load resistor removed is nothing more than a simple series circuit with opposing batteries, and so we can determine the voltage across the open load terminals by applying the rules of series circuits, Ohm's Law, and :Kirchhoff's Voltage Law ...
I=1 A
... You must be able to use Kirchoff’s Rules to calculate currents and voltages in circuit components that are not simply in series or in parallel. ...
... You must be able to use Kirchoff’s Rules to calculate currents and voltages in circuit components that are not simply in series or in parallel. ...
Review of exponential charging and discharging in RC Circuits
... If there are no independent voltage or current sources in a circuit, VTH = 0 V and IN = 0 A. If there is no independent voltage or current present in a circuit (only resistors and linear dependent sources), all currents and voltages in the circuit are zero. In this situation, you know that the I-V g ...
... If there are no independent voltage or current sources in a circuit, VTH = 0 V and IN = 0 A. If there is no independent voltage or current present in a circuit (only resistors and linear dependent sources), all currents and voltages in the circuit are zero. In this situation, you know that the I-V g ...
Circuits Lecture 8: Node Analysis (2)
... Node v.s. Mesh • What is the final target? • Node analysis is not suitable for current • Mesh analysis is not suitable for voltage i ...
... Node v.s. Mesh • What is the final target? • Node analysis is not suitable for current • Mesh analysis is not suitable for voltage i ...
Network Theorems
... consisting of a voltage source and an importance in series, as shown in Fig. 18.23. Since the reactances of a circuit are frequency dependent, the Thevinin circuit found for a particular network is applicable only at one frequency. The steps required to apply this method to dc circuits are repeated ...
... consisting of a voltage source and an importance in series, as shown in Fig. 18.23. Since the reactances of a circuit are frequency dependent, the Thevinin circuit found for a particular network is applicable only at one frequency. The steps required to apply this method to dc circuits are repeated ...
Network functions
... Each of the circuits in this problem set is represented by a network function. Network functions are defined, in the frequency-domain, to be quotient obtained by dividing the phasor corresponding to the circuit output by the phasor corresponding to the circuit input. We calculate the network functio ...
... Each of the circuits in this problem set is represented by a network function. Network functions are defined, in the frequency-domain, to be quotient obtained by dividing the phasor corresponding to the circuit output by the phasor corresponding to the circuit input. We calculate the network functio ...
Aalborg Universitet Three-Phase Unbalanced Load Flow Tool for Distribution Networks
... Additionally, in reality, loads and distributed generators are usually connected between line and neutral terminals for 3phase 4-wire systems. However, most of the distribution network analysis disregards the phase to neutral voltages so that voltage unbalance is miscalculated. Therefore, neutralto- ...
... Additionally, in reality, loads and distributed generators are usually connected between line and neutral terminals for 3phase 4-wire systems. However, most of the distribution network analysis disregards the phase to neutral voltages so that voltage unbalance is miscalculated. Therefore, neutralto- ...
Mesh-Current Method The mesh-current is analog of the node
... Thus, v = va + vb = 5 − 10 = −5 V. Note: Using superposition results in slightly simpler circuits (one element is replaced with either a short or open circuit) but more circuits. In general superposition requires more work than node-voltage or mesh-current methods. Superposition is used: a) If sourc ...
... Thus, v = va + vb = 5 − 10 = −5 V. Note: Using superposition results in slightly simpler circuits (one element is replaced with either a short or open circuit) but more circuits. In general superposition requires more work than node-voltage or mesh-current methods. Superposition is used: a) If sourc ...
DC Circuits
... • Determine the effective resistance for a number of resistors connected in series and in parallel. • For simple and complex circuits, determine the voltage and current for each resistor. • Apply Kirchoff’s laws to find currents and voltages in complex circuits. ...
... • Determine the effective resistance for a number of resistors connected in series and in parallel. • For simple and complex circuits, determine the voltage and current for each resistor. • Apply Kirchoff’s laws to find currents and voltages in complex circuits. ...
Topology (electrical circuits)
The 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. It is only concerned with what connections exist between the components. There may be numerous physical layouts and circuit diagrams that 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 these classes of object (that is, a network where the type of component is specified but not the absolute value) is prototype network.Electronic network topology is related to mathematical topology, in particular, for networks which contain only two-terminal devices, circuit topology can be viewed as an application of graph theory. In a network analysis of such a circuit from a topological point of view, the network nodes are the vertices of graph theory and the network branches are the edges of graph theory.Standard graph theory can be extended to deal with active components and multi-terminal devices such as integrated circuits. Graphs can also be used in the analysis of infinite networks.