Using cramer s rule, the immittance and transfer func tions required for the evaluation of 5 and 6 can be directly obtained from y in 1. If you have additional information or corrections regarding this mathematician, please use the update form. Driving point admittance functions the ratio of laplace transform of current and voltage at port 11 or 22 is defined as driving point admittance function. The mechanical impedance of a point on a structure is the ratio of the force applied at. In this paper,these issues are addressed by proposing an approach, which computes the effective capacitance for rlc interconnects byusing their driving point admittance moments. A body exhibiting high impedance brings to mind massiveness, stiffness, and small motion. Elec4612 power system analysis power flow analysis. Improved effective capacitance computations for use in.
The admittance is a physical measure used to map applied force to induced motion in a mechanical structure. Admittance tables of the equivalent positivesequence circuit for the lineto line fault applying the relations given in eqs. A number of rational functions which are functions of. This method predicts the geometricmean of the response of a vibrator with respect to frequency, and is valid at low as well as high frequencies.
This equivalent consists of a known voltage source and equivalent unknown impedance seen from the fault point driving point impedance dpi. Treating it as a oneport network, the expression is expanded using continued fraction or partial fraction expansions. Oneport network theory physical audio signal processing. Pdf synthesis of lc, rl and rc circuit using embedded system. Y 21 is known as short circuit forward transfer admittance. The driving point impedance and admittance of thin, pec. The poles and zeros alternate each other and are located in left half of s plane.
The simplest extension of our current digital waveguide model is to use the drivingpoint admittance of the instrument in a convolutory way. The effective electric current moment of the antenna is estimated by duality with the electric current loop. Find the input impedance and admittance of the firstorder electrical circuit consisting of a series connected inductor l and resistor r. Positive real derivatives of driving point functions sciencedirect. Second, the drivingpoint function, which may be either an impedance or an admittance, is developed in such a way that the zeros of the transfer function of. Circuitry for converting a transfer function characteristic into a specified driving point impedance using feedforward techniques comprises. In this paper, we present an efficient algorithm which accounts for series resistance by computing a reducedorder approximation for the drivingpoint admittance. Offdiagonal elements mutual or transfer admittanceis equal to the negative of the admittance between the nodes. Input admittance of linear antennas driven from a coaxial line. Impedancebased modeling methods1 1 introduction 2 driving point. It relates forces with velocities acting on a mechanical system. From the crc model in figure 1, abbaspour and pedram 3 proposed an initial approximation to the effective capacitance.
This causes some divergence difficulties in the resulting fourier series description of the current. Admittance matrix an overview sciencedirect topics. However, provided the separation is not too large the result can give a useful approximation to the point admittance. Y 11 and y 22 are drivingpoint admittance at port 1 and port 2.
The value of input and output impedance can be arranged to an appropriate value by the choice of amplifier design. If it were defined simply as the ratio of the current at the driving point to the driving voltage, then the result would it. Yjk ykj 5 driving point admittance ykk is just the sum of all admittances of lines connected to bus k, including any. Driving point and input admittance of linear antennas. The drivingpoint admittance and the effecti ve mo ment are then combi ned to esti mate the effective length and the relative effecti ve. Driving point impedance problem 1 network functions. More complex methods of controlling impedance in multistage amplifiers, using negative feedback, is dicussed in amplifiers module 3. Symmetrical cofactors of the mesh determinant 15 11. Driving point impedances of thick homogeneous plates in. Digital modeling of bridge drivingpoint admittance from measurements on violinfamily instruments. Coast guard academy and the unversity of virginia, where in 1939 he received the s. It is shown that the infinity may be interpreted in terms of an infinite capacitance between the two halves of the antenna. Drivingpoint functions, restrictions on pole and zero locations for transfer functions, time.
Drivingpoint admittance ccrma, stanford stanford university. According to our current online database, sundaram seshu has 4 students and 898 descendants. The complex ratio of applied alternating voltage to the resulting alternating current in an electron tube, network, or other transducer explanation of drivingpoint impedance. Small magnetic toroid antenna imbedded in a highly. A library compatible driving point model for onchip rlc. A discussion of what measurements needed to compute the drivingpoint admittance can be found in section 3. Pdf a simple method is described for constructing physically realizable driving point impedance function from measured. Pdf construction of physically realizable drivingpoint function. Relationship of twoport variables, shortcircuit admittance. Brunes multiport lumped element equivalent circuits in. Transformation in an rcactivenetwork synthesis procedure. The parameters of the equivalent circuit are obtained by matching the.
An effective capacitance based driver output model for on. Driving point impedance derived from a transfer impedance. Magnitude and phase angle plots of the drivingpoint impedance at bus 3 fig. Do you need an answer to a question different from the above. Determine the driving point impedance at the input terminals of the network shown in fig p11. Realisation of polynomials as drivingpoint admittances. In order to get a finite answer, it is proposed wu and king, 1959 that a certain. The driving point impedance is a mathematical representation of the input impedance of a filter in the frequency domain using one of a number of notations such as laplace transform sdomain or fourier transform j. Since the body of the guitar is a rigid structure that exhibits standing waves.
The equivalent circuit of the drivingpoint admittance 73 was described in 74,75 and in 72, 76, 77 brunes multiport synthesis was treated systematically. Diagonal elements selfadmittance or driving point admittance is the sum of admittances of all elements connect to a node, including admittance between the node and ground node 0. Modeling the drivingpoint characteristic of resistive interconnect. The properties of rc driving point impedance function and the properties of driving point admittance function of rl network are identical. The poles and zeros of an rl impedance or rc admittance are. Propagation delay approximation considering effective. The transfer function between nodal currents and voltages appearing throughout the system busbars is. Mechanical impedance is a measure of how much a structure resists motion when subjected to a harmonic force. In this paper, we propose an approach that computes the effective capacitance for rlc interconnects by using their driving point admittance moments. An efficient algorithm is presented which accounts for series resistance by computing a reducedorder approximation for the drivingpoint admittance of an rc. Driving point function and transfer function problem 1 video lecture from chapter network functions of subject circuit theory and.
Solved determine the driving point impedance at the. Mutual admittance yjk is minus the sum of the admittances of all lines connected directly between buses j and k. Journal of sound and vibration 1981 782, 235245 driving point impedances of thick homogeneous plates in flexure k. Similarly, y 22 is known as short circuit output admittance. The drivingpoint admittance of the body of the instrument, characterizes linearinteractions between the string and the body in both directions. To submit students of this mathematician, please use the new data form, noting this mathematicians mgp id of 92718 for the advisor id. Pdf a simple method is described for constructing physically realizable drivingpoint impedance function from measured. Driving point impedance problem 1 network functions circuit.
Drivingpoint impedance a, and admittance b, signalflow graphs for network in fig. Y 12 is known as short circuit reverse transfer admittance. A physical explanation of the drivingpoint admittance is to view the admittance as a measure of how readily force exerted at the contact point at a certain frequency results in motion at that same frequency. Conditions are then given such that a rational function is the derivative of some rc drivingpoint admittance. An infinity in the input admittance of linear antennas owing to the use of an idealized delta. The idea of using driving point admittance moments directly instead of mapping them to a reduced order pi model was introduced in 1. Multiple receivers are modeled as one clock buffer, which size is. The conclusion is reached that conventionally used iterative procedures are not invalidated by difficulties with respect to the driving. Considering that the n2 network has only one voltage source its busbar.
Point admittance of cylindrical shells with and without. The driving point on the loop circumference is characterized by a broadband deltafunction voltage source generator placed across an infinitesimal gap. Oneport network theory the basic idea of a oneport network is shown in fig. Driving point impedance computation applying parallel. It can be shown that the drivingpoint impedance or admittance of a passive network networks containing resistors, inductors, capacitors, mutual inductances. At port 11 denoted as y11s y11s i1s v1s at port 22 denoted as y11s y22s i2s v2s. Driving point function and transfer function problem 1 network.
The frequency scan can be done by calculating and inverting the admittance matrix of the network. Drivingpoint functions, restrictions on pole and zero locations for transfer functions, timedomain behavior from the pole and zero plot, stability of networks. The drivingpoint admittance was measured and compared with predictions using the meanvalue admittance method 1. Let the driving point admittance at the gate output be represented by yl s. Thus there are two driving point admittance functions. The drivingpoint and transfer admittances of the equivalent positive. In order to synthesize a driving point function into a passive network it must. An instrumented hammer arranged as a pendulum is employed to excite the bridge corner over a frequency range of interest.
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