Unified Oscillator Research Articles

The Unified Supplementary Damping Method Based on Voltage-Soured Converter High-Voltage Direct Current Transmission Through Robust Control

The VSC-HVDC system can damp the inter-area low-frequency oscillation effectively. To enhance the ability of the VSC-HVDC supplementary control, this article proposes a unified low-frequency oscillation controller design using the robustness theory. The unified control strategy uses both the active power control and reactive power control loop of the VSC to expand the supplementary control dimensions. To design the controller, the TLS-ESPRIT identification method is used to obtain the system small signal model and the oscillation characteristic. Based on the model identified out, the linear matrix inequality method based robust control theory is applied for the controller design, and the robust controllers for active power control and reactive power control loop are both designed to improve the control effect. Finally, the simulation results show that the controller can reach better control effect and the robustness can also be guaranteed.

A Microelectronic Terahertz Source Using Multiple Field Emitter Cathodes With an Array of Coupled Cavities

Compact, high-power, and broad-spectral coverage terahertz sources have application prospects in diverse scientific and technological fields, which attract great interest from researchers. The recently developed microelectronic device, a so- called terahertz laser diode (TLD), affords a promising candidate to develop desirable terahertz sources. However, the performances and the accessibility of TLD have unavoidable restrictions in the practices. In this article, we propose an enhanced TLD, which uses multiple field-emitter cathodes with an array of coupled cavities. The power and efficiency can be several times higher than that in previous TLDs. The required electric field intensity and the emission current density from the field-emitter cathode can be significantly reduced, which enables established field-emitting materials to be applicable and decreases the manufacturing difficulty as well. In addition, the fields in different cavities can be coupled, forming a series of unified oscillation modes, which can work as operation modes with various output frequencies. This improved TLD is attractive for developing compact, high-power, and broad-spectrum coverage terahertz sources for practices.

Systematic characterization of THz dielectric properties of multi-component glasses using the unified oscillator model

A terahertz (THz) dielectric property characterization method based on a unified single oscillator model has been developed and applied to a variety of multi-component silicate oxide glasses. The experimental values of dielectric constant determined by THz time-domain spectroscopy (TDS) in the sub-THz region have been confirmed to agree well with the values calculated by the single oscillator model which incorporates the local field effects and the material’s ionicity. This has provided a unified formulation that enables systematic determination of the key physical parameters solely from the high-frequency (optical) and low-frequency (sub-THz) dielectric constants and characteristic resonance frequency in the (sub-)THz region. The low-frequency dielectric constant has been demonstrated to be fully determined by a single parameter of the microscopic total susceptibility. Also, the polarization ionicity, which is defined by the ionic fraction in the microscopic total susceptibility, has been found to be a good indicator to represent the ionic nature of the material. Through this analysis, an increasing trend of the effective ionic charge has been found in high-dielectric constant glasses such as oxyfluorosilicate glasses, and the physical mechanism of their dielectric constant enhancement has been discussed. The present method is expected to be applied to design and characterize dielectric properties of a wide range of multi-component glasses and other isotropic, insulating materials.

A review of ENSO theories

Abstract The El Niño and the Southern Oscillation (ENSO) occurrence can be usually explained by two views of (i) a self-sustained oscillatory mode and (ii) a stable mode interacting with high-frequency forcing such as westerly wind bursts and Madden-Julian Oscillation events. The positive ocean–atmosphere feedback in the tropical Pacific hypothesized by Bjerknes leads the ENSO event to a mature phase. After ENSO event matures, negative feedbacks are needed to cease the ENSO anomaly growth. Four negative feedbacks have been proposed: (i) reflected Kelvin waves at the ocean western boundary, (ii) a discharge process due to Sverdrup transport, (iii) western-Pacific wind-forced Kelvin waves and (iv) anomalous zonal advections and wave reflection at the ocean eastern boundary. These four ENSO mechanisms are respectively called the delayed oscillator, the recharge–discharge oscillator, the western-Pacific oscillator and the advective–reflective oscillator. The unified oscillator is developed by including all ENSO mechanisms, i.e. all four ENSO oscillators are special cases of the unified oscillator. The tropical Pacific Ocean and atmosphere interaction can also induce coupled slow westward- and eastward-propagating modes. An advantage of the coupled slow modes is that they can be used to explain the propagating property of interannual anomalies, whereas the oscillatory modes produce a standing oscillation. The research community has recently paid attention to different types of ENSO events by focusing on the central-Pacific El Niño. All of the ENSO mechanisms may work for the central-Pacific El Niño events, with an addition that the central-Pacific El Niño may be related to forcing or processes in the extra-tropical Pacific.

Reassessing Conceptual Models of ENSO

Abstract The complex nature of the El Niño–Southern Oscillation (ENSO) is often simplified through the use of conceptual models, each of which offers a different perspective on the ocean–atmosphere feedbacks underpinning the ENSO cycle. One theory, the unified oscillator, combines a variety of conceptual frameworks in the form of a coupled system of delay differential equations. The system produces a self-sustained oscillation on interannual time scales. While the unified oscillator is assumed to provide a more complete conceptual framework of ENSO behaviors than the models it incorporates, its formulation and performance have not been systematically assessed. This paper investigates the accuracy of the unified oscillator through its ability to replicate the ENSO cycle modeled by flux-forced output from the Australian Community Climate and Earth-System Simulator Ocean Model (ACCESS-OM). The anomalous sea surface temperature equation reproduces the main features of the corresponding tendency modeled by ACCESS-OM reasonably well. However, the remaining equations for the thermocline depth anomaly and zonal wind stress anomalies are unable to accurately replicate the corresponding tendencies in ACCESS-OM. Modifications to the unified oscillator, including a diagnostic form of the zonal wind stress anomaly equations, improve its ability to emulate simulated ENSO tendencies. Despite these improvements, the unified oscillator model is less adept than the delayed oscillator model it incorporates in capturing ENSO behavior in ACCESS-OM, bringing into question its usefulness as a unifying ENSO framework.

Prediction of Subharmonic Oscillation in <inline-formula><tex-math notation="LaTeX">${\bf{\rm I}^2}$ </tex-math></inline-formula> Controlled Buck Converters in CCM

A recent paper proposed I 2 average-current control with constant switching period (CSP) or constant on-time (COT) operation in continuous conduction mcontinuous conduction modeode (CCM). The small-signal analysis was presented, but only for the COT case. No instability or its condition was reported. In this note, unified subharmonic oscillation conditions are derived for both CSP and COT buck converters. The effects of feedback gain, turn-off delay, and stabilizing ramp slope are considered. The results can be extended to other converters or control schemes.

Global oscillation analysis of solar neutrino data with helioseismically constrained fluxes

A seismic model for the Sun calculated using the accurate helioseismic data predicts a lower ${}^{8}\mathrm{B}$ neutrino flux as compared to the standard solar model (SSM). However, there persists a discrepancy between the predicted and measured neutrino fluxes and it seems necessary to invoke neutrino oscillations to explain the measurements. In this work, we have performed a global, unified oscillation analysis of the latest solar neutrino data (including the results of SNO charged current rate) using the seismic model fluxes as theoretical predictions. We determine the best-fit values of the neutrino oscillation parameters and the ${\ensuremath{\chi}}_{\mathrm{min}}^{2}$ for both ${\ensuremath{\nu}}_{e}\ensuremath{-}{\ensuremath{\nu}}_{\mathrm{active}}$ and ${\ensuremath{\nu}}_{e}\ensuremath{-}{\ensuremath{\nu}}_{\mathrm{sterile}}$ cases and present the allowed parameter regions in the $\ensuremath{\Delta}{m}^{2}\ensuremath{-}{\mathrm{tan}}^{2}\ensuremath{\theta}$ plane for ${\ensuremath{\nu}}_{e}\ensuremath{-}{\ensuremath{\nu}}_{\mathrm{active}}$ transition. The results are compared with those obtained using the latest SSM by Bahcall and co-workers.

On the ENSO Mechanisms

The El Nino-Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific Ocean-atmosphere interactions. The oscillatory nature of ENSO requires both positive and negative ocean-atmosphere feedbacks. The positive feedback is dated back to Bjerknes' hypothesis in the 1960s, and different negative feedbacks have been proposed since the 1980s associated with the delayed oscillator, the western Pacific oscillator, the recharge-discharge oscillator, and the advective-reflective oscillator. The delayed oscillator assumes that wave reflection at the western boundary provides a negative feedback for the coupled system to oscillate. The western Pacific oscillator emphasizes equatorial wind in the western Pacific that provides a negative feedback for the coupled system. The recharge-discharge oscillator argues that discharge and recharge of equatorial heat content cause the coupled system to oscillate. The advective-reflective oscillator emphasizes the importance of zonal advection associated with wave reflection at both the western and eastern boundaries. All of these physics are summarized in a unified ENSO oscillator. The delayed oscillator, the western Pacific oscillator, the recharge-discharge oscillator, and the advective-reflective oscillator can be extracted as special cases of the unified oscillator. As suggested by this unified oscillator, all of the previous ENSO oscillator mechanisms may be operating in nature.

A Unified Oscillator Model for the El Niño–Southern Oscillation

The delayed oscillator, the western Pacific oscillator, the recharge-discharge oscillator, and the advective- reflective oscillator have been proposed to interpret the oscillatory nature of the El Nino-Southern Oscillation (ENSO). All of these oscillator models assume a positive ocean-atmosphere feedback in the equatorial eastern and central Pacific. The delayed oscillator assumes that the western Pacific is an inactive region and wave reflection at the western boundary provides a negative feedback for the coupled system to oscillate. The western Pacific oscillator emphasizes an active role of the western Pacific in ENSO. The recharge-discharge oscillator argues that discharge and recharge of equatorial heat content cause the coupled system to oscillate. The advective- reflective oscillator emphasizes the importance of zonal advection associated with wave reflection at both the western and eastern boundaries. Motivated by the existence of these different oscillator models, a unified oscillator model is formulated and derived from the dynamics and thermodynamics of the coupled ocean-atmosphere system. Consistent with ENSO anomaly patterns observed in the tropical Pacific, this oscillator model considers sea surface temperature anomalies in the equatorial eastern Pacific, zonal wind stress anomalies in both the equatorial central Pacific and the equatorial western Pacific, and thermocline depth anomalies in the off-equatorial western Pacific. If the western Pacific wind-forced response is neglected, thermocline and zonal wind stress anomalies in the western Pacific are decoupled from the coupled system, and the unified oscillator reduces to the delayed oscillator. If wave reflection at the western boundary is neglected, the unified oscillator reduces to the western Pacific oscillator. The mathematical form of the recharge-discharge oscillator can also be derived from this unified oscillator. Most of the physics of the advective-reflective oscillator are implicitly included in the unified oscillator, and the negative feedback of wave reflection at the eastern boundary is added to the unified oscillator. With appropriate model parameters chosen to be consistent with those of previous oscillator models, the unified oscillator model oscillates on interannual timescales.

Phase Transition and Dynamic Susceptibility of the Anharmonic Oscillator System –An Effective Analysis of Double Morse Potential Based on the Unified Oscillator Model–

An effective analysis for the static and the dynamic properties of an assembly of classical anharmonic oscillators moving in the double Morse potential (DMP) is made in the framework of the molecular field approximation and the linear response theory. By using the effective (trial) potential V 0 ( x )= A x 4 + B x 2 with the temperature-dependent coefficients A and B , some characteristic effects of the higher anharmonicities in DMP are quantitatively considered. The present method offers an extension of the self-consistent Einstein theory, which enables us to make discussions on the static and the dynamic properties of the system from the unified mechanical point of view whether the relevant potential is of single- or of double-minimum.

Dynamic Susceptibility of Classical Anharmonic Oscillator

As a unified oscillator model for order-disorder and displacive ferroelectrics, we consider a system of interacting classical oscillators moving in the anharmonic potential V(x) = Ax4 + Bx2, where A is positive and B may be either positive or negative. The interaction of the oscillators is taken to be bilinear in their displacements and it is treated in the Weiss molecular-field approximation. For this model, it is shown that the exact expression can be obtained for the dynamic susceptibility above the Curie temperature. The theory is exact except for its being classical and use of the Weiss approximation; anharmonicity of the potential is perfectly taken into account. Detailed analysis is made for this system and temperature dependence of the dynamic response (including the occurrence of “soft” mode) is described on the basis of the results of numerical calculations for both B > 0 and B ≪ 0 cases.