Rigorous Stability Criterion for Digital Phase Locked Loops

This paper proposes a rigorous stability criterion for an arbitrary order digital phase locked loop (DPLL), with a charge pump phase frequency detector (CP-PFD) component. Stability boundaries for such systems are determined using piecewise linear methods to model the nonlinear nature of the CP-PFD component block. The model calculates the control voltage, after a predetermined number of input reference signal sampling periods, to a small initial voltage offset. This paper, in particular, takes an in-depth look at the second order system. The second order stability boundaries, as defined by the proposed technique, are compared to that of existing linear theory stability boundaries, and display a significant improvement. The applicability of the proposed technique to higher order systems, using a numerically iterative solution, is presented. Finally the proposed methodology is used to determine the stability boundary of a third order system and thus the component values for a stable system. Using these component values the response of the DPLL to an initial control voltage offset is simulated using a circuit level simulation. Index Terms—High Order, Phase Locked Loop, Piecewise Linear, Stability

Rigorous Stability Criterion for Digital Phase Locked Loops

This paper proposes a rigorous stability criterion for an arbitrary order digital phase locked loop (DPLL), with a charge pump phase frequency detector (CP-PFD) component. Stability boundaries for such systems are determined using piecewise linear methods to model the nonlinear nature of the CP-PFD component block. The model calculates the control voltage, after a predetermined number of input reference signal sampling periods, to a small initial voltage offset. This paper, in particular, takes an in-depth look at the second order system. The second order stability boundaries, as defined by the proposed technique, are compared to that of existing linear theory stability boundaries, and display a significant improvement. The applicability of the proposed technique to higher order systems, using a numerically iterative solution, is presented. Finally the proposed methodology is used to determine the stability boundary of a third order system and thus the component values for a stable system. Using these component values the response of the DPLL to an initial control voltage offset is simulated using a circuit level simulation. Index Terms—High Order, Phase Locked Loop, Piecewise Linear, Stability

Design techniques for high-performance digital PLLs and CDRs

Phase-Locked Loops (PLLs) are essential building blocks in many communication systems. Designing high performance analog PLLs in the presence of technology imposed constraints such as leakage, poor analog transistor behavior, process variability, and low supply voltage is a challenging task. To overcome these drawbacks, digital PLLs (DPLLs) have recently emerged as an alternative to analog PLLs. In this work, a digital PLL employing a linear proportional path and a double integral path is proposed to achieve low jitter, wide operating range and low power. Moreover, the approach of bandwidth and tuning range tracking is achieved. The prototype DPLL fabricated in a 90nm CMOS process operates from 0.7 to 3.5GHz. At 2.5GHz, the proposed DPLL consumes only 1.6mW power and achieves 1.6ps r.m.s jitter. Moreover, the design techniques for a novel digital clock and data recovery (CDR) with linear loop dynamics are presented. The PLL-based digital CDR avoid the use of TDC, achieves static phase offset free (SPO-free) and well-controlled jitter transfer bandwidth. The prototype digital CDR fabricated in a 0:13μm CMOS process achieves error-free operation (BER < 10⁻¹²) for PRBS data sequences ranging from 2⁷-1 to 2³¹-1 and a near-constant bandwidth of 4.5MHz

The Telecommunications and Data Acquisition Report

This publication, one of a series formerly titled The Deep Space Network Progress Report, documents DSN progress in flight project support, tracking and data acquisition research and technology, network engineering, hardware and software implementation, and operations. In addition, developments in Earth-based radio technology as applied to geodynamics, astrophysics and the radio search for extraterrestrial intelligence are reported

The Telecommunications and Data Acquisition

This quarterly publication provides archival reports on developments in programs managed by JPL's Office of Telecommunications and Data Acquisition (TDA). In space communications, radio navigation, radio science, and ground-based radio and radar astronomy, it reports on activities of the Deep Space Network (DSN) in planning, supporting research and technology, implementation, and operations. Also included are standards activity at JPL for space data and information systems and reimbursable DSN work performed for other space agencies through NASA. The preceding work is all performed for NASA's Office of Space Communications (OSC)

The Telecommunications and Data Acquisition Report

This quarterly publication (July-Sept. 1986) provides archival reports on developments in programs managed by JPL's Office of Telecommunications and Data Acquisition (TDA). In space communications, radio navigation, radio science, and ground-based radio astronomy, it reports on activities of the Deep Space Network (DSN) and its associated Ground Communications Facility (GCF) in planning, in supporting research and technology, in implementation, and in operations. This work is performed for NASA's Office of Space Tracking and Data Systems (OSTDS). In geodynamics, the publication reports on the application of radio interferometry at microwave frequencies for geodynamic measurements. In the search for extraterrestrial intelligence (SETI), it reports on implementation and operations for searching the microwave spectrum. The latter two programs are performed for NASA's Office of Space Science and Applications (OSSA)

SAT Compilation for Constraints over Structured Finite Domains

A constraint is a formula in first-order logic expressing a relation between values of various domains. In order to solve a constraint, constructing a propositional encoding is a successfully applied technique that benefits from substantial progress made in the development of modern SAT solvers. However, propositional encodings are generally created by developing a problem-specific generator program or by crafting them manually, which often is a time-consuming and error-prone process especially for constraints over complex domains. Therefore, the present thesis introduces the constraint solver CO4 that automatically generates propositional encodings for constraints over structured finite domains written in a syntactical subset of the functional programming language Haskell. This subset of Haskell enables the specification of expressive and concise constraints by supporting user-defined algebraic data types, pattern matching, and polymorphic types, as well as higher-order and recursive functions. The constraint solver CO4 transforms a constraint written in this high-level language into a propositional formula. After an external SAT solver determined a satisfying assignment for the variables in the generated formula, a solution in the domain of discourse is derived. This approach is even applicable for finite restrictions of recursively defined algebraic data types. The present thesis describes all aspects of CO4 in detail: the language used for specifying constraints, the solving process and its correctness, as well as exemplary applications of CO4

Co-design of Security Aware Power System Distribution Architecture as Cyber Physical System

The modern smart grid would involve deep integration between measurement nodes, communication systems, artificial intelligence, power electronics and distributed resources. On one hand, this type of integration can dramatically improve the grid performance and efficiency, but on the other, it can also introduce new types of vulnerabilities to the grid. To obtain the best performance, while minimizing the risk of vulnerabilities, the physical power system must be designed as a security aware system. In this dissertation, an interoperability and communication framework for microgrid control and Cyber Physical system enhancements is designed and implemented taking into account cyber and physical security aspects. The proposed data-centric interoperability layer provides a common data bus and a resilient control network for seamless integration of distributed energy resources. In addition, a synchronized measurement network and advanced metering infrastructure were developed to provide real-time monitoring for active distribution networks. A hybrid hardware/software testbed environment was developed to represent the smart grid as a cyber-physical system through hardware and software in the loop simulation methods. In addition it provides a flexible interface for remote integration and experimentation of attack scenarios. The work in this dissertation utilizes communication technologies to enhance the performance of the DC microgrids and distribution networks by extending the application of the GPS synchronization to the DC Networks. GPS synchronization allows the operation of distributed DC-DC converters as an interleaved converters system. Along with the GPS synchronization, carrier extraction synchronization technique was developed to improve the system’s security and reliability in the case of GPS signal spoofing or jamming. To improve the integration of the microgrid with the utility system, new synchronization and islanding detection algorithms were developed. The developed algorithms overcome the problem of SCADA and PMU based islanding detection methods such as communication failure and frequency stability. In addition, a real-time energy management system with online optimization was developed to manage the energy resources within the microgrid. The security and privacy were also addressed in both the cyber and physical levels. For the physical design, two techniques were developed to address the physical privacy issues by changing the current and electromagnetic signature. For the cyber level, a security mechanism for IEC 61850 GOOSE messages was developed to address the security shortcomings in the standard

Resonant DC link converters and their use in rail traction applications

Conventional 'hard switching' converters suffer from significant switching loss due to thesimultaneous imposition of high values of current and voltage on the devices during commutation.Resonant converters offer a solution to this problem. A review of resonant circuit topologies ispresented, which includes a summary of the interference problems which may occur when usingpower converters in the rail traction environment. Particular attention is given to the ResonantDC Link Inverter (RDCLI) which shows a great deal of pronuse using currently availabledevices.The frequency domain simulation of RDCLIs is discussed as a means of rapidly evaluatingcircuit behaviour, especially in relation to modulation strategies. A novel modulation strategy isproposed for Resonant DC Link Inverters, based on a procedure known as Simulated Annealingwhich allows complex harmonic manipulations such as han-nonic minimisation, to be performed.This is despite the fact that RDCLIs are constrained to use Discrete Pulse Modulation wherebyswitch commutations are restricted to specific moments in time. The modulation algorithms wereverified by use of a low-power test rig and the results obtained are compared against theoreticalvalues. Details of the hardware implementation are also included.A single-phase pulse-converter input stage is described which may be incorporated into theResonant DC Link Inverter topology. This input stage also benefits from soft-sVVItching andallows four-quadrant operation at any desired power factor. A modulation scheme based onSiMulated Annealing is proposed for the pulse-converter, to achieve hannomc control whilst alsosynchronising with the supply wavefon-n. Practical results are presented and compared with thoseobtained by simulation and calculation.Finally the design of Resonant DC Link Converters is discussed and reconunendations made forthe choice of resonant components based on the minimisation of overall losses. Comparisons aremade between hard-switching and soft-switching converters in terms of loss and harmonicperformance, in an attempt to quantify the benefits which may be obtained by the application ofsoft-switching