Current Divider

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Yu Christine Chen - One of the best experts on this subject based on the ideXlab platform.

  • Power System Loss Divider
    IEEE Transactions on Power Systems, 2020
    Co-Authors: Abdullah Al-digs, Yu Christine Chen
    Abstract:

    This letter presents an analytical closed-form expression that quantifies the contributions of nodal active- and reactive-power injections to total loss in a power system operating at sinusoidal steady state. We term this as the loss Divider , since it is derived by leveraging the ubiquitous Current Divider law. The proposed loss Divider innately embeds the dependence of system loss on both the network topology and the operating point, i.e., voltage profile. The derivation does not rely on any simplifying assumptions, and so the resulting expression delineates the exact quadratic relationship between the system loss and nodal active- and reactive-power injections.

  • ISCAS - Mapping nodal power injections to branch flows in connected LTI electrical networks
    2016 IEEE International Symposium on Circuits and Systems (ISCAS), 2016
    Co-Authors: Yu Christine Chen, Abdullah Al-digs, Sairaj V. Dhople
    Abstract:

    This paper presents analytical closed-form expressions that map the contributions of nodal active- and reactive-power injections to the branch active- and reactive-power flows in an AC electrical network that is operating in sinusoidal steady state. We term these as the power Divider laws, since they are derived leveraging, and their form and functionality are similar to, the ubiquitous Current Divider law. Distinct from the Current Divider law that only depends on the topology and constitution of the electrical network, the power Divider laws are a function of the topology as well as the sinusoidal-steady-state voltage profile of the network.

Belén Calvo - One of the best experts on this subject based on the ideXlab platform.

  • MOS Current Divider based PGA
    Microelectronics Reliability, 2004
    Co-Authors: M. Teresa Sanz, Santiago Celma, Belén Calvo, J.p. Alegre
    Abstract:

    Abstract A highly linear, digitally programmable gain amplifier (PGA) based on an inherently linear MOS Current Divider (MCD) is presented in this paper. A 3-bit prototype with a total variation range of 36 dB in gain has been implemented in a 3.3 V–0.35 μm CMOS process with 2.5 V supply voltage. Experimental results prove the high linearity of the system, which presents distortion levels better than −70 dB for 1 MHz and 1 V p–p output signals.

  • ISCAS (1) - High linear digitally programmable gain amplifier
    2005 IEEE International Symposium on Circuits and Systems, 1
    Co-Authors: A.t. Sanz, S. Cehna, Belén Calvo
    Abstract:

    A highly linear, digitally programmable gain amplifier (PGA) based on an inherently linear MOS Current Divider (MCD) is presented in this paper. A 3-bit prototype with a total variation range of 36dB in gain and constant bandwidth has been implemented in a 0.35/spl mu/m CMOS process with 2.5V supply voltage. Experimental results prove the high linearity of the system, which presents distortion levels better than -70dB for 1MHz and 1V/sub p-p/ output signals.

Xianlin Pan - One of the best experts on this subject based on the ideXlab platform.

  • Determination of Equivalent Inductance of Current Shunts at Frequency Up to 200 kHz
    IEEE Transactions on Instrumentation and Measurement, 2013
    Co-Authors: Jiangtao Zhang, Xianlin Pan, Biao Wang, Wenfang Liu, Deshi Zhang
    Abstract:

    We report on the measurement techniques and results of the equivalent inductance of Current shunts at frequencies from 50 to 200 kHz. With a three-branch binary inductive Current Divider and difference detection transformer, the equivalent inductance of the cagelike shunts was measured against a set of four-terminal resistors whose time constants were accurately determined. The verification experiments for the systematic errors of the measurement setup and the phase comparator with the Current ratio of 2 : 1 are also presented.

  • a coaxial time constant standard for the determination of phase angle errors of Current shunts
    IEEE Transactions on Instrumentation and Measurement, 2013
    Co-Authors: Xianlin Pan, Jiangtao Zhang, Biao Wang, Wenfang Liu, Deshi Zhang
    Abstract:

    This paper describes a new method to determine the phase angle errors of ac shunts by measuring the inductance and distributed capacitance. A 1-Ω shunt of coaxial design has been developed as the time constant standard. A coaxial inductor with identical structure as the time constant standard has been developed. A four-terminal mutual inductor has also been built for the measurement of the inductance of the time constant standard. The method is based on the use of a binary inductive Current Divider to compare the inductor with the mutual inductor. The standard uncertainty of the inductance measurement of the time constant standard is within 28 pH at frequencies up to 200 kHz. The expanded uncertainty of the phase angle errors is from 0.4 μrad at 1 kHz to 80.0 μrad at 200 kHz at 1 A.

  • Four-terminal mutual inductor for calibration of the lock-in amplifier at mV ranges
    2012 Conference on Precision electromagnetic Measurements, 2012
    Co-Authors: Xianlin Pan, Jiangtao Zhang, Zhongwen Zhu, Ting Lin, Biao Wang
    Abstract:

    This paper describes a method for calibrating the accuracy and linearity in quadrature part of the lock-in amplifier at mV ranges. The method is based on the use of the four-terminal mutual inductor and three-branch binary inductive Current Divider (BICD). The measurement standard uncertainties are presented at frequencies from 20 kHz to 200 kHz.

  • Phase comparator based on binary inductive Current Divider up to 200 kHz
    2012 Conference on Precision electromagnetic Measurements, 2012
    Co-Authors: Jiangtao Zhang, Hongtao Huang, Xianlin Pan
    Abstract:

    A phase comparator has been developed to compare the phase angle of ac shunts at frequency up to 200 kHz at National Institute of Metrology (NIM) in China. The comparator can supply two Currents in which one of the Current is two times of the other. With this comparator, the phase angle of two ac shunts can be compared both in nominal Current.

  • A New Method for Measuring the Level Dependence of AC Shunts
    IEEE Transactions on Instrumentation and Measurement, 2010
    Co-Authors: Jiangtao Zhang, Xianlin Pan, Jun Lin, Lei Wang, Deshi Zhang
    Abstract:

    We report on a new method for the measurement of the level dependence of the AC-DC difference of Current shunts. The method is based on the use of a binary inductive Current Divider. A method to compare two AC shunts at common ground is described. Measurement results on two 1-A AC shunts, which consist of different numbers of resistors, indicate that the level dependence between 0.5 and 1 A is less than 2 ?A/A with an uncertainty of less than 7 ?A/A from 1 to 100 kHz.

Jiangtao Zhang - One of the best experts on this subject based on the ideXlab platform.

  • Determination of Equivalent Inductance of Current Shunts at Frequency Up to 200 kHz
    IEEE Transactions on Instrumentation and Measurement, 2013
    Co-Authors: Jiangtao Zhang, Xianlin Pan, Biao Wang, Wenfang Liu, Deshi Zhang
    Abstract:

    We report on the measurement techniques and results of the equivalent inductance of Current shunts at frequencies from 50 to 200 kHz. With a three-branch binary inductive Current Divider and difference detection transformer, the equivalent inductance of the cagelike shunts was measured against a set of four-terminal resistors whose time constants were accurately determined. The verification experiments for the systematic errors of the measurement setup and the phase comparator with the Current ratio of 2 : 1 are also presented.

  • a coaxial time constant standard for the determination of phase angle errors of Current shunts
    IEEE Transactions on Instrumentation and Measurement, 2013
    Co-Authors: Xianlin Pan, Jiangtao Zhang, Biao Wang, Wenfang Liu, Deshi Zhang
    Abstract:

    This paper describes a new method to determine the phase angle errors of ac shunts by measuring the inductance and distributed capacitance. A 1-Ω shunt of coaxial design has been developed as the time constant standard. A coaxial inductor with identical structure as the time constant standard has been developed. A four-terminal mutual inductor has also been built for the measurement of the inductance of the time constant standard. The method is based on the use of a binary inductive Current Divider to compare the inductor with the mutual inductor. The standard uncertainty of the inductance measurement of the time constant standard is within 28 pH at frequencies up to 200 kHz. The expanded uncertainty of the phase angle errors is from 0.4 μrad at 1 kHz to 80.0 μrad at 200 kHz at 1 A.

  • Four-terminal mutual inductor for calibration of the lock-in amplifier at mV ranges
    2012 Conference on Precision electromagnetic Measurements, 2012
    Co-Authors: Xianlin Pan, Jiangtao Zhang, Zhongwen Zhu, Ting Lin, Biao Wang
    Abstract:

    This paper describes a method for calibrating the accuracy and linearity in quadrature part of the lock-in amplifier at mV ranges. The method is based on the use of the four-terminal mutual inductor and three-branch binary inductive Current Divider (BICD). The measurement standard uncertainties are presented at frequencies from 20 kHz to 200 kHz.

  • Phase comparator based on binary inductive Current Divider up to 200 kHz
    2012 Conference on Precision electromagnetic Measurements, 2012
    Co-Authors: Jiangtao Zhang, Hongtao Huang, Xianlin Pan
    Abstract:

    A phase comparator has been developed to compare the phase angle of ac shunts at frequency up to 200 kHz at National Institute of Metrology (NIM) in China. The comparator can supply two Currents in which one of the Current is two times of the other. With this comparator, the phase angle of two ac shunts can be compared both in nominal Current.

  • A New Method for Measuring the Level Dependence of AC Shunts
    IEEE Transactions on Instrumentation and Measurement, 2010
    Co-Authors: Jiangtao Zhang, Xianlin Pan, Jun Lin, Lei Wang, Deshi Zhang
    Abstract:

    We report on a new method for the measurement of the level dependence of the AC-DC difference of Current shunts. The method is based on the use of a binary inductive Current Divider. A method to compare two AC shunts at common ground is described. Measurement results on two 1-A AC shunts, which consist of different numbers of resistors, indicate that the level dependence between 0.5 and 1 A is less than 2 ?A/A with an uncertainty of less than 7 ?A/A from 1 to 100 kHz.

B.v. Weber - One of the best experts on this subject based on the ideXlab platform.

  • Particle-in-cell simulations of electron beam control using an inductive Current Divider
    Physics of Plasmas, 2015
    Co-Authors: S.b. Swanekamp, J. R. Angus, G. Cooperstein, P.f. Ottinger, Andrew Richardson, J.w. Schumer, B.v. Weber
    Abstract:

    Kinetic, time-dependent, electromagnetic, particle-in-cell simulations of the inductive Current Divider are presented. The inductive Current Divider is a passive method for controlling the trajectory of an intense, hollow electron beam using a vacuum structure that inductively splits the beam's return Current. The Current Divider concept was proposed and studied theoretically in a previous publication [Swanekamp et al., Phys. Plasmas 22, 023107 (2015)]. A central post carries a portion of the return Current (I1), while the outer conductor carries the remainder (I2) with the injected beam Current given by Ib = I1 + I2. The simulations are in agreement with the theory which predicts that the total force on the beam trajectory is proportional to (I2−I1) and the force on the beam envelope is proportional to Ib. Independent control over both the Current density and the beam angle at the target is possible by choosing the appropriate Current-Divider geometry. The root-mean-square (RMS) beam emittance (eRMS) varies as the beam propagates through the Current Divider to the target. For applications where control of the beam trajectory is desired and the Current density at the target is similar to the Current density at the entrance foil, there is a modest 20% increase in eRMS at the target. For other applications where the beam is pinched to a Current density ∼5 times larger at the target, eRMS is 2–3 times larger at the target.

  • Controlling hollow relativistic electron beam orbits with an inductive Current Divider
    Physics of Plasmas, 2015
    Co-Authors: S.b. Swanekamp, J. R. Angus, G. Cooperstein, P.f. Ottinger, Andrew Richardson, J.w. Schumer, B.v. Weber, D.d. Hinshelwood, I. M. Rittersdorf, J. C. Zier
    Abstract:

    A passive method for controlling the trajectory of an intense, hollow electron beam is proposed using a vacuum structure that inductively splits the beam's return Current. A central post carries a portion of the return Current (I1), while the outer conductor carries the remainder (I2). An envelope equation appropriate for a hollow electron beam is derived and applied to the Current Divider. The force on the beam trajectory is shown to be proportional to (I2-I1), while the average force on the envelope (the beam width) is proportional to the beam Current Ib = (I2 + I1). The values of I1 and I2 depend on the inductances in the return-Current path geometries. Proper choice of the return-Current geometries determines these inductances and offers control over the beam trajectory. Solutions using realistic beam parameters show that, for appropriate choices of the return-Current-path geometry, the inductive Current Divider can produce a beam that is both pinched and straightened so that it approaches a target at...