The Use of j-Notation in Circuit Analysis

High-performance as well as user-friendly circuit simulators are powerful aids for power electronics engineers. This paper presents a new circuit analysis and design simulator named TAP-T (transient analysis program TOKUZO) mainly for power electronics use. It offers ATP/EMTP like or more convenient CAD environment. It is almost free from the numerical oscillation problems which annoy ATP/EMTP users. This feature attributes largely to TAP-T's reasonable counter-measures against switching logic conflicts. Two benchmark tests are carried out on circuits designated by IEE JAPAN to verify high accuracy and short computation time of TAP-T.

This chapter introduces the analysis and design of linear circuits. It reviews basic direct‐current (DC) analysis using traditional circuits theorems with application to circuit analysis and design. Using node voltage instead of element voltages as circuit variables can greatly reduce the number of equations that must be treated simultaneously. The chapter treats the analysis and design of circuits containing active devices such as transistors or operational amplifiers (op amps). It also discusses alternating current (AC) circuits. Those ac circuits that are excited by a single frequency, for example, power systems, can be easily and effectively analyzed using sinusoidal steady‐state techniques. Linear circuits are often characterized by their behavior to sinusoids, in particular, how they process signals versus frequency. Audio, communication, instrumentation, and control systems all require signal processing that depends at least in part on their frequency response.

Circuit Analysis and Design aims to accomplish the four vital objectives of a foundational course in the majority of electrical and computer engineering curricula: (1) It should introduce the fundamental principles of circuit analysis and equip the student with the skills necessary to analyze any planar, linear circuit, including those driven by dc or ac sources, or by more complicated waveforms such as pulses and exponentials. (2) It should start the student on the journey of circuit design. (3) It should guide the student into the seemingly magical world of domain transformations—such as the Laplace and Fourier transforms, not only as circuit analysis tools, but also as mathematical languages that are “spoken” by many fields of science and engineering. (4) It should expand the student’s technical horizon by introducing him/her to some of the many allied fields of science and technology.

Direct current (DC) from mechanical energy built on the tribovoltaic effect is promising for the development of self‐powered flexible electronics. A semiconductor triboelectric generator is one of the optimized solutions for DC output. However, it remains underutilized because of its low output power and insufficient insight into the fundamental principles of charge generation and transport at dynamic interfaces. Herein, a flexible fabric‐based DC generator that relies on a metal–semiconducting polymer interface constructed by an asymmetric Schottky junction between a poly(3,4‐ethylenedioxythiophene):poly(styrenesulfonic acid) (PEDOT:PSS)‐coated fabric and an aluminum (Al) foil is reported. The dependence of the electrical output performance of the device on the doping carrier concentration using different types of PEDOT:PSS to modulate the Schottky barrier height, validating both the work function and conductivity of the triboelectric material, which plays a fundamental role in DC generation, is explored. A large work function difference is required to create a high built‐in electric field for efficient separation of electron–hole pairs. Decent conductivity also fulfills an integral role in the innate carrier‐transport capability. Accordingly, an open‐circuit voltage (Voc) of 800 mV, a short‐circuit current (Isc) of 80 μA, and a power density of 6.7 mW cm−2 are yielded simultaneously.

Production potential of cow dung for the generation of electricity was investigated using microbial fuel cell (MFC). Cow dung was collected from FUTA farm and Ilesha Garage farm in Akure. Voltage and current was measured per day for 21 days and the electrode used for the set up are carbon-carbon and carbon-aluminium electrode. Proximate, physico-chemical and mineral composition were determined using standard methods. Isolation and identification of microorganisms present in the cow dung were determined before and after generation of voltage and current using microbiological techniques. The microorganisms isolated were Providencia alcalifaciens, P. rettgeri, P. stuartti, Escherichia coli, E. fergusonii, Morganella morganii, Staphylococcus haemolyticus, S. aureus, Micrococcus luteus, Fusarium solani, Saccharomyces cerevisiae and Mucor mucedo. The highest voltage 0.737±0 mV and electric current 1.265±0 mA were generated from FUTA cow dung. The pH ranged between 7.3 to 9.9 and the temperature ranged between 25 ˚C to 33 ˚C during generation of voltage and current. This study has shown that cow dung is a potential substrate for generation of electric current using fabricated double chamber MFC.

Digital multimeter is used in marine environment to measure Direct Current Voltage (DCV), Direct Current (DC), Alternating Current Voltage (ACV), Alternating Current (AC) and Resistance (R) under different measuring ranges in the marine system. In addition, digital multimeter suffers three dynamic environmental stresses including temperature, relative humidity, and salinity. Aiming at improving prediction accuracy of digital multimeter reliability and residual lifetime, this paper focuses on degradation modeling and lifetime prediction of digital multimeter with multi-performance indices and in complex marine environment. The measurement errors of the five indices are used as the degradation signals to reflect the performance of the digital multimeter. A degradation model considering the effects of the three dynamic marine environmental stresses is proposed based on initial degradation measurement, degradation rate function and Wiener process to predict the cumulative distributions of the First Passage Time (FPT) of the five indices. Furthermore, the Copula function with the lowest AIC value is used to model the dependence structure among multiple performance indices. A case study based on measurement errors of digital multimeter and dynamic environment data for nine months is presented to illustrate the proposed method.

Preface. 1. The Physics of Electricity. 1.1 Basic Quantities. 1.1.1 Introduction. 1.1.2 Charge. 1.1.3 Potential or Voltage. 1.1.4 Ground. 1.1.5 Conductivity. 1.1.6 Current. 1.2 Ohm's law. 1.2.1 Resistance. 1.2.2 Conductance. 1.2.3 Insulation. 1.3 Circuit Fundamentals. 1.3.1 Static Charge. 1.3.2 Electric Circuits. 1.3.3 Voltage Drop. 1.3.4 Electric Shock. 1.4 Resistive Heating. 1.4.1 Calculating Resistive Heating. 1.4.2 Transmission Voltage and Resistive Losses. 1.5 Electric and Magnetic Fields. 1.5.1 The Field as a Concept. 1.5.2 Electric Fields. 1.5.3 Magnetic Fields. 1.5.4 Electromagnetic Induction. 1.5.5 Electromagnetic Fields and Health Effects. 1.5.6 Electromagnetic Radiation. 2. Basic Circuit Analysis. 2.1 Modeling Circuits. 2.2 Series and Parallel Circuits. 2.2.1 Resistance in Series. 2.2.2 Resistance in Parallel. 2.2.3 Network Reduction. 2.2.4 Practical Aspects. 2.3 Kirchhoff's Laws. 2.3.1 Kirchhoff's Voltage Law. 2.3.2 Kirchhoff's Current Law. 2.3.3 Application to Simple Circuits. 2.3.4 The Superposition Principle. 2.4 Magnetic Circuits. 3. AC Power. 3.1 Alternating Current and Voltage. 3.1.1 Historical Notes. 3.1.2 Mathematical Description. 3.1.3 The rms Value. 3.2 Reactance. 3.2.1 Inductance. 3.2.2 Capacitance. 3.2.3 Impedance. 3.2.4 Admittance. 3.3 Power. 3.3.1 Definition of Electric Power. 3.3.2 Complex Power. 3.3.3 The Significance of Reactive Power. 3.4 Phasor Notation. 3.4.1 Phasors as Graphics. 3.4.2 Phasors as Exponentials. 3.4.3 Operations with Phasors. 4. Generators. 4.1 The Simple Generator. 4.2 The Synchronous Generator. 4.2.1 Basic Components and Functioning. 4.2.2 Other Design Aspects. 4.3 Operational Control of Synchronous Generators. 4.3.1 Single Generator: Real Power. 4.3.2 Single Generator: Reactive Power. 4.3.3 Multiple Generators: Real Power. 4.3.4 Multiple Generators: Reactive Power. 4.4 Operating Limits. 4.5 The Induction Generator. 4.5.1 General Characteristics. 4.5.2 Electromagnetic Characteristics. 4.6 Inverters. 5. Loads. 5.1 Resistive Loads. 5.2 Motors. 5.3 Electronic Devices. 5.4 Load from the System Perspective. 5.4.1 Coincident and Noncoincident Demand. 5.4.2 Load Profiles and Load Duration Curve. 5.5 Single- and Multiphase Connections. 6. Transmission and Distribution. 6.1 System Structure. 6.1.1 Historical Notes. 6.1.2 Structural Features. 6.1.3 Sample Diagram. 6.1.4 Topology. 6.1.5 Loop Flow. 6.1.6 Stations and Substations. 6.1.7 Reconfiguring the System. 6.2 Three-Phase Transmission. 6.2.1 Rationale for Three Phases. 6.2.2 Balancing Loads. 6.2.3 Delta and Wye Connections. 6.2.4 Per-Phase Analysis. 6.2.5 Three-Phase Power. 6.2.6 D.C. Transmission. 6.3 Transformers. 6.3.1 General Properties. 6.3.2 Transformer Heating. 6.3.3 Delta and Wye Transformers. 6.4 Characteristics of Power Lines. 6.4.1 Conductors. 6.4.2 Towers, Insulators, and Other Components. 6.5 Loading. 6.5.1 Thermal Limits. 6.5.2 Stability Limit. 6.6 Voltage Control. 6.7 Protection. 6.7.1 Basics of Protection and Protective Devices. 6.7.2 Protection Coordination. 7. Power Flow Analysis. 7.1 Introduction. 7.2 The Power Flow Problem. 7.2.1 Network Representation. 7.2.2 Choice of Variables. 7.2.3 Types of Buses. 7.2.4 Variables for Balancing Real Power. 7.2.5 Variables for Balancing Reactive Power. 7.2.6 The Slack Bus. 7.2.7 Summary of Variables. 7.3 Example with Interpretation of Results. 7.3.1 Six-Bus Example. 7.3.2 Tweaking the Case. 7.3.3 Conceptualizing Power Flow. 7.4 Power Flow Equations and Solution Methods. 7.4.1 Derivation of Power Flow Equations. 7.4.2 Solution Methods. 7.4.3 Decoupled Power Flow. 7.5 Applications and Optimal Power Flow. 8. System Performance. 8.1 Reliability. 8.1.1 Measures of Reliability. 8.1.2 Valuation of Reliability. 8.2 Security. 8.3 Stability. 8.3.1 The Concept of Stability. 8.3.2 Steady-State Stability. 8.3.3 Dynamic Stability. 8.3.4 Voltage Stability. 8.4 Power Quality. 8.4.1 Voltage. 8.4.2 Frequency. 8.4.3 Waveform. 9. System Operation, Management, and New Technology. 9.1 Operation and Control on Different Time Scales. 9.1.1 The Scale of a Cycle. 9.1.2 The Scale of Real-Time Operation. 9.1.3 The Scale of Scheduling. 9.1.4 The Planning Scale. 9.2 New Technology. 9.2.1 Storage. 9.2.2 Distributed Generation. 9.2.3 Automation. 9.2.4 FACTS. 9.3 Human Factors. 9.3.1 Operators and Engineers. 9.3.2 Cognitive Representations of Power Systems. 9.3.3 Operational Criteria. 9.3.4 Implications for Technological Innovation. 9.4 Implications for Restructuring. Appendix: Symbols, Units, Abbreviations, and Acronyms. Index.

Old books are highly susceptible to mould infection, and an effective method for avoiding moulding is needed to safely preserve valuable books in library stack rooms. Guarding a bookshelf with an electric field screen is a physical method that prevents airborne spores from entering the space used for book preservation. In this study, insulated conductor wires (ICWs) were used as electrodes to form electric fields. The ICWs were arrayed in parallel and linked to each other and to a direct current voltage generator. The electric field screen consisted of two layers of ICWs, which were negatively and positively charged with equal voltages to make dipoles, ICW(−) and ICW(+). Both ICWs generated an attractive force that captured airborne spores of Penicillium digitatum that were blown inside the screen. The attractive force was directly proportional to the applied voltage. At ≧0.9 kV, the screen exerted sufficient force to capture all airflow-carried spores, but a few spores that were once captured were repulsed out of the electric field when subsequent spores were attracted to positions proximal to them. This phenomenon was explained by creeping discharge between spores located close to each other on the ICW surface. This spore-repulsion problem was resolved by adding an additional ICW layer to the electric field screen, namely an electric field screen with an ICW(−) layer on both sides of an ICW(+) layer. The present study demonstrated that the three-layered electric field screen remained mould-free inside a screen-guarded bookshelf, irrespective of continuous spore exposure.

Introduction to Circuit Analysis and Design

Analysis and design of analogue electronic circuits using DPI methods — Part 2: circuits containing different types of active devices Circuits with combinations of bipolar and field effect transistors as active devices are studied. It is shown that dealing with such problems poses no additional difficulties. An example is given.

This article proposes a practical and reliable design applicable to DC output power amplifier circuit of relay tester. Through theoretical calculation, the author discuss the amplifier circuit can meet the requirement of relay tester to output, and supply the design and simulation analysis of power amplifier circuit, and expatiate the functions of each module of the circuit. The simulation analysis proves that this circuit is a efficient, stable and feasible conversion circuit which can amply energy.

Realizing the promised advantage of quantum computers over classical computers requires both physical devices and corresponding methods for the design, verification and analysis of quantum circuits. In this regard, decision diagrams have proven themselves to be an indispensable tool due to their capability to represent both quantum states and unitaries (circuits) compactly. Nonetheless, recent results show that decision diagrams can grow to exponential size even for the ubiquitous stabilizer states, which are generated by Clifford circuits. Since Clifford circuits can be efficiently simulated classically, this is surprising. Moreover, since Clifford circuits play a crucial role in many quantum computing applications, from networking, to error correction, this limitation forms a major obstacle for using decision diagrams for the design, verification and analysis of quantum circuits. The recently proposed Local Invertible Map Decision Diagram (LIMDD) solves this problem by combining the strengths of decision diagrams and the stabilizer formalism that enables efficient simulation of Clifford circuits. However, LIMDDs have only been introduced on paper thus far and have not been implemented yet—preventing an investigation of their practical capabilities through experiments. In this work, we present the first implementation of LIMDDs for quantum circuit simulation. A case study confirms the improved performance in both worlds for the Quantum Fourier Transform applied to a stabilizer state. The resulting package is available under a free license at https://github.com/cda-tum/ddsim/tree/limdd .

The authors introduce the subject of probabilistic and stochastic analysis and design of circuits to nonspecialists and emphasize the need for teaching the subject to senior level undergraduates. It is argued that as this subject area synthesizes ideas from systems theory, electrical circuit analysis and design, matrix methods, probability and stochastic theories, numerical methods, optimization and symbolic algebra, this will be an ideal course to demonstrate the use of most of the background subjects, and relevant computing techniques and software. Problems solved could include electrical engineering problems, and other engineering problems modeled with electrical analogs.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

One way to reduce treatment cost while producing useful products from wastewater is the microbial fuel cell (MFC) technology. It provides a means of treating wastewater with simultaneous production of energy. In the present study, the H-type MFC was used to study the effect of salt enrichment on electricity generation using carbon and copper electrodes with oxygen as electron acceptor. Wastewater from septic tank was used as substrate, one set of which was enriched with 1M NaCl. The voltage and current generated were monitored using a multimeter which was connected to the anode and cathode by a copper wire. Oxygen was used as electron acceptor at the cathode chamber. Voltage and current readings were taken per hour per day for 15days. Wastewater treatability was determined by comparing the biological oxygen demand (BOD), dissolved oxygen (DO), chemical oxygen demand (COD) and total dissolved solid (TDS) of the wastewaters before and after treatment. The results show that the fuel cells generated voltages and currents that varied according to the electrode used. Salt enrichment enhanced the efficiency of both current and voltage generation in the MFCs. Carbon electrode MFC performed better than copper electrode MFC. Both the enriched and the un-enriched MFCs had very high percentage removal of BOD, DO, COD and TDS in both carbon and copper electrode MFCs. Do and BOD percentage removals were at least 60% in all the MFCs while the CODs removals were at least 50% in all the treatments. The least percentage wastewater parameter removal was observed in TDS of salt-enriched copper electrode MFC. The study proved that wastewater can be conveniently treated using MFC. The best option would be to use salt-enrichment in a carbon-electrode microbial fuel cell.

The relationship between the region 1 field‐aligned current (FAC) intensity and the ionospheric conductivity in geomagnetically quiet conditions has been believed to be useful to determine whether the FAC is driven by a voltage generator or a current generator. This paper, however, shows that at least for daytime (0800–1600 MLT) FACs, the current generator has the same characteristic of “linear relationship between the current intensity and the conductivity” as the voltage generator. This conclusion is obtained due to the fact that the sum of Pedersen conductivities, maintained by solar EUV ionization, at two conjugate points on the northern and southern ionospheres is approximately independent of the solar zenith angle at either of these points. Notably, the pressure‐gradient‐driven model for the generation of the region 1 FAC from the low‐latitude boundary layer is then consistent with observations that the current intensity increases linearly with the height‐integrated Pedersen conductivity.