Designing single event upset mitigation techniques for large SRAM-Based FPGA components

This thesis presents the study and development of fault-tolerant techniques for programmable architectures, the well-known Field Programmable Gate Arrays (FPGAs), customizable by SRAM. FPGAs are becoming more valuable for space applications because of the high density, high performance, reduced development cost and re-programmability. In particular, SRAM-based FPGAs are very valuable for remote missions because of the possibility of being reprogrammed by the user as many times as necessary in a very short period. SRAM-based FPGA and micro-controllers represent a wide range of components in space applications, and as a result will be the focus of this work, more specifically the Virtex® family from Xilinx and the architecture of the 8051 micro-controller from Intel. The Triple Modular Redundancy (TMR) with voters is a common high-level technique to protect ASICs against single event upset (SEU) and it can also be applied to FPGAs. The TMR technique was first tested in the Virtex® FPGA architecture by using a small design based on counters. Faults were injected in all sensitive parts of the FPGA and a detailed analysis of the effect of a fault in a TMR design synthesized in the Virtex® platform was performed. Results from fault injection and from a radiation ground test facility showed the efficiency of the TMR for the related case study circuit. Although TMR has showed a high reliability, this technique presents some limitations, such as area overhead, three times more input and output pins and, consequently, a significant increase in power dissipation. Aiming to reduce TMR costs and improve reliability, an innovative high-level technique for designing fault-tolerant systems in SRAM-based FPGAs was developed, without modification in the FPGA architecture. This technique combines time and hardware redundancy to reduce overhead and to ensure reliability. It is based on duplication with comparison and concurrent error detection. The new technique proposed in this work was specifically developed for FPGAs to cope with transient faults in the user combinational and sequential logic, while also reducing pin count, area and power dissipation. The methodology was validated by fault injection experiments in an emulation board. The thesis presents comparison results in fault coverage, area and performance between the discussed techniques.

The promised LAN: the transformative power of information and communications technology in developing countries

Este tese analise as implicações dos investimentos em tecnologia de informação e comunicação (ICT) em países ainda em desenvolvimento, especialmente em termos de educação, para estimular a implementação de uma infra-estrutura mais moderna em vez da continuação do uso de métodos tradicionais. Hoje, como o interesse e os investimentos em ICT estão crescendo rapidamente, os módulos e as idéias que existem para medir o estado de ICT são velhos e inexatos, e não podem ser aplicados às culturas de países em desenvolvimento. Políticos e investidores têm que considerar estes problemas quando estão pensando em investimentos ou socorros para programas em ICT no futuro, e investigadores e professores precisam entender os fatores importantes no desenvolvimento para os ICTs e a educação antes de começar estudos nestes países. Este tese conclue que investimentos em tecnologias móbeis e sem fios ajudarem organizações e governos ultrapassar a infra-estrutura tradicional, estreitando a divisão digital e dando o resulto de educação melhor, alfabetização maior, e soluções sustentáveis pelo desenvolvimento nas comunidades pobres no mundo de países em desenvolvimento.

Comparação do desempenho de duas bombas acopladas diretamente a geradores fotovoltaicos

No Brasil, assim como em outros países que recebem abundantes quantidades de radiação solar durante todo o ano, há um grande potencial para os sistemas que usam a tecnologia fotovoltaica para promover o bombeamento de água. Entretanto, a escolha dos conjuntos de motores e bombas mais adequados para cada situação passa pela análise do desempenho dos sistemas de bombeamento. Portanto, devem ser analisadas tanto as melhores configurações de geradores fotovoltaicos destinados a operar os conjuntos formados pelos motores e bombas, quanto às eficiências das bombas e da conversão fotovoltaica. Nesse trabalho são apresentadas medidas e comparações do desempenho de dois sistemas de bombeamento diretamente acoplados a geradores fotovoltaicos. Para tanto, foi construída uma bancada destinada a realizar uma série de experimentos. Um dos sistemas usou uma bomba centrífuga acoplada a um gerador fotovoltaico formado por três módulos fotovoltaicos. O outro, utilizou uma bomba volumétrica de diafragma acoplada a um único módulo fotovoltaico. Os experimentos foram conduzidos em duas etapas distintas. A primeira foi feita com os motores acoplados a uma fonte de potência em corrente contínua e serviu para a determinação das curvas de desempenho de cada uma das bombas, das curvas dos sistemas, assim como das curvas de corrente (I) e de tensão (V) de cada um dos motores que acionavam as bombas. A segunda foi realizada com os sistemas acoplados diretamente aos geradores fotovoltaicos. A determinação da configuração dos geradores fotovoltaicos destinados a acionar os diferentes sistemas de bombeamento em análise nesse trabalho foi feita por meio da sobreposição das curvas de corrente e tensão dos motores e dos módulos fotovoltaicos. A parte experimental, estando os sistemas acoplados aos geradores, constou de medidas realizadas em intervalos de tempo de cinco segundos, para cada bomba e em várias alturas, das seguintes variáveis: temperatura ambiente, irradiância, temperatura dos módulos, corrente e tensão do motor, rotação do motor, temperatura da água, diferencial de pressão entre entrada e saída da bomba e vazão. As diversas alturas foram simuladas por meio da abertura e/ou fechamento de uma válvula de controle de vazão colocada na extremidade tubulação de descarga, operada manualmente. Os procedimentos adotados nessa dissertação permitiram caracterizar os sistemas de bombeamento propostos, assim como determinar quais os arranjos mais adequados para operar cada sistema. Verificou-se que o melhor arranjo para operar o conjunto motor e bomba centrífuga foi aquele formado por três módulos fotovoltaicos ligados em paralelo, enquanto que a melhor opção para operar o conjunto motor e bomba de diafragma foi com somente um módulo fotovoltaico. De posse dos dados medidos foi possível determinar as eficiências: instantâneas, máximas instantâneas e diárias da conversão fotovoltaica assim como dos conjuntos motores e bombas, em diferentes alturas. Relativamente à conversão fotovoltaica, verificou-se que o conjunto motor e bomba centrífuga operou com eficiência instantânea máxima de 5,74% e eficiência diária de 4,70%, enquanto que o conjunto motor e bomba volumétrica de diafragma operou com eficiência instantânea máxima de 7,66% e eficiência diária de 5,82%. Relativamente à eficiência dos conjuntos motores e bombas, verificou-se que o conjunto motor e bomba centrífuga operou com eficiência instantânea máxima de 19,19% e eficiência diária de 16,79%, enquanto que o conjunto motor e bomba volumétrica de diafragma operou com eficiência instantânea máxima de 38,88% e eficiência diária de 34,30%. Verificou-se ainda que a altura foi determinante na eficiência do conjunto motor e bomba centrífuga e pouco influenciou na eficiência do conjunto motor e bomba de diafragma. Além dessas, outras considerações sobre o comportamento dos sistemas de bombeamento ao longo de um dia também foram ser registrados, tais como: limiares de irradiância para início e final de vazão, correntes de pico ou de arranque dos motores e correntes de início de vazão ou escoamento.

Market coupling in the power markets

The thesis analyses the European Unions’ effort to create an integrated pan-European electricity market based on “market coupling” as the proposed allocation mechanism for interconnector transfer capacity. Thus, the thesis’ main focus is if market coupling leads to a price convergence in interlinked markets and how it affects the behavior of electricity price data. The applied research methods are a qualitative, structured literature review and a quantitative analysis of electricity price data. The quantitative analysis relies on descriptive statistics of absolute price differentials and on a Cointegration analysis according to Engle & Granger (1987)’s two step approach. Main findings are that implicit auction mechanisms such as market coupling are more efficient than explicit auctions. Especially the method of price coupling leads to a price convergence in involved markets, to social welfare gains and reduces market power of producers, as shown on the example of the TLC market coupling. The market coupling initiative between Germany and Denmark, on the other hand, is evaluated as less successful and illustrates the complexity and difficulties of implementing market coupling initiatives. The cointegration analysis shows that the time series were already before the coupling date cointegrated, but the statistical significance increased. The thesis suggests that market coupling leads to a price convergence of involved markets and thus functions as method to create a single, integrated European electricity market.

Economic recovery from the Argentine great depression : institutions, expectations, and the change of macroeconomic regime

This work explores how Argentina overcame the Great Depression and asks whether active macroeconomic interventions made any contribution to the recovery. In particular, we study Argentine macroeconomic policy as it deviated from gold-standard orthodoxy after the final suspension of convertibility in 1929. As elsewhere, fiscal policy in Argentina was conservative, and had little power to smooth output. Monetary policy became heterodox after 1929. The first and most important stage of institutional change took place with the switch from a metallic monetary regime to a fiduciary regime in 1931; the Caja de Conversión (Conversion Office, a currency board) began rediscounting as a means to sterilize gold outflows and avoid deflationary pressures, thus breaking from orthodox "mIes of the game." However, the actual injections of liquidity were small' and were not enough to fully offset the incipient monetary contractions: the "Keynes" effect was weak or negative. Rather, recovery derived from changes in beliefs and expectations surrounding the shift in the monetary and exchange-rate regime,and the delinking of gold flows and the money base. Agents perceivod a new regime, as shown by the path of consumption, investment, and estimated ex ante real interest rates: the "Mundell" effect was dominant. Notably, this change of regime predated a later, and supposedly more significant, stage of institutional reform, namely the creation of the central bank in 1935. Still, the extent of intervention was weak, and insufficient to fully offset externaI shocks to prices and money. Argentine macropolicy was heterodox in terms of the change of regime, but still conservative in terms of the tentative scope of the measures taken .

Agenda power in Brazil's Câmara dos Deputados , 1989 to 1999

This paper examines the structure of agenda power in the Brazilian Câmara dos Deputados (Chamber of Deputies). Our main question concerns when consistent agenda control by a single majority coalition, as opposed to agenda control by shifting majorities, has emerged in the post-1988 Câmara. Consistent agenda control emerges routinely in parliamentary regimes: the government commands a majority in the assembly; the legislative agenda is negotiated among the governing parties, typically with each able to “veto” the placement of bills on the agenda. However, the Câmara faces an external executive, the president, with substantial formal powers to set its agenda. Consistent agenda control thus can emerge only if the president chooses to ally with a majority coalition in the assembly. If the president always chose to form such an alliance—a presidentially-led agenda cartel—then one would expect some consistently parliamentary patterns in Brazil: the appointment of legislative party leaders to the cabinet; the use of statutes rather than decrees to achieve policy goals; the avoidance of bills that would pass and split the governing coalition. We find that only the Cardoso presidency displays consistent evidence of such a presidentiallyled agenda cartel. In this sense, our argument differs from that of Figueiredo and Limongi (1999; 2000), who argue that presidents have consistently pursued a parliamentary mode of governance in Brazil. Yet it also differs from those who argue that presidents have consistently pursued a shifting-coalitions strategy. Our results suggest that presidents make a strategic choice, with much hinging on that choice.

Relação entre stakeholders, recursos estratégicos e sustentabilidade em uma organização atuante na cadeia de valor da indústria brasileira de energia eólica

This paper approaches the strategy in business management and aimed at identifying and outlining the interests and commitment of stakeholders in strategic resources management concerning production and implementation of wind turbine equipment of a Brazilian wind power company and also verifying if internal and external results deriving from such activities were sustainable, taking as main reference seminal publications and periodicals relevant to the research point that discuss the Resource Theory, Stakeholders and Sustainability. An analysis was carried out to assess how stakeholders, beyond the temporal context, intermediated the composition, development and management of the organization´s resources, as well as the social, environmental and economic results obtained from resources management in the production and supply of wind turbines to a Wind Power Plant located in the State of Ceara, in order to portray that Brazil sustainability can be an important competitive advantage source that creates value for shareholders and the community (Hart & Milstein, 2003). The strategy herein applied was the qualitative investigation using a single study case, which allowed for the thorough examination of an active organization operating in the Brazilian industry of wind power and also the resources used in the production and implementation of wind turbines supplied to the a Wind Power Plant in Ceara. Considering the content analysis and the triangulation principle, three qualitative data collection methods were applied to identify and characterize stakeholders’ interest and commitment in resource management of the organization operating in the Brazilian wind power industry, as follows, semistructured deep interview with managers of tactic-strategic level and analysts of organization´s value chain nine activities, analysis of public internal and external documents; and analysis of audio-visual material. Nonetheless, to identify the internal and external economic, social and environmental results of implementation and supply of wind turbines to the Wind Power Plant in Ceara, semistructured interviews were also carried out with the residents of the region. Results showed the BNDES (Brazilian Development Bank) and the organization head office were the stakeholders who exerted the strongest influence on resources related to production and implementation of the aerogenerator product at Trairi Wind Plant in Ceara. Concerning the organization resources, at the current stage of the Brazilian Wind Industry ,although the brand, reliability and reputation of the organization under study were valuable esources, rare, hard to imitate and exploited by the organization, it was noticed that opposed to RBV, they did not actually represent a source of competitive advantage . For the local community the social, economic and environmental results related to the wind turbines implementation were more positive than negative, despite the fact that the productive process caused negative environmental impacts such as the high emission of CO2 to transport wind turbines components to Trairi Wind Power Plant.

Entry on the Brazilian renewable power market: a case study

Conferências internacionais sobre o clima, bem como crescente conscientização sobre as questões de sustentabilidade lançaram luz sobre o papel fundamental que as energias renováveis poderiam desempenhar na transição energética. Ao contrário de combustíveis fósseis, elas podem ser regeneradas em um curto período de tempo e, por conseguinte, espera-se que sejam uma parte da solução para reduzir o aquecimento global. O Brasil sempre teve um forte setor hidrelétrico, mas agora está na vanguarda em relação a todas as outras fontes de energias alternativas, como energia eólica, biomassa o energia solar. Estas indústrias são uma promessa para um futuro próspero, graças ao potencial natural do país, bem como uma legislação de apoio, e estão atraindo muitas empresas locais e internacionais. Este estudo tem como objetivo preencher uma lacuna na literatura analisando o exemplo de uma empresa estrangeira que entra no mercado da energia renovável no Brasil. Baseando-se na literatura como um fundo conceptual, um único estudo de caso têm sido realizados para delinear todos os aspectos do processo de entrada. Neste desenvolvimento, relações causais entre as orientações estratégicas e a evolução do negócio foram identificadas. Esta pesquisa traz uma contribuição para as discussões acadêmicas sobre as dinâmicas de entrada no setor de energia renovável através de evidências do mercado brasileiro.

Mathematical analysis of maximum power generated by photovoltaic systems and fitting curves for standard test conditions

The rural electrification is characterized by geographical dispersion of the population, low consumption, high investment by consumers and high cost. Moreover, solar radiation constitutes an inexhaustible source of energy and in its conversion into electricity photovoltaic panels are used. In this study, equations were adjusted to field conditions presented by the manufacturer for current and power of small photovoltaic systems. The mathematical analysis was performed on the photovoltaic rural system I- 100 from ISOFOTON, with power 300 Wp, located at the Experimental Farm Lageado of FCA/UNESP. For the development of such equations, the circuitry of photovoltaic cells has been studied to apply iterative numerical methods for the determination of electrical parameters and possible errors in the appropriate equations in the literature to reality. Therefore, a simulation of a photovoltaic panel was proposed through mathematical equations that were adjusted according to the data of local radiation. The results have presented equations that provide real answers to the user and may assist in the design of these systems, once calculated that the maximum power limit ensures a supply of energy generated. This real sizing helps establishing the possible applications of solar energy to the rural producer and informing the real possibilities of generating electricity from the sun.

Operational parameters of soybean seeding in santa fe system

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Parthenogenetic activation of bovine oocytes using single and combined strontium, ionomycin and 6-dimethylaminopurine treatments

In vitro-matured (IVM) bovine oocytes were activated with single and combined treatments of strontium (S), ionomycin (1) and 6-DMAP (D). Using oocytes IVM for 26 h, we observed that activation altered cell cycle kinetics (faster progression, MIII arrest, or direct transition from MII to pronuclear stage) when compared to in vitro fertilization. The effect of oocyte age on early parthenogenesis was assessed in oocytes IVM for 22, 26 and 30 h. Better results in pronuclear development were obtained in treatments ISD (81.7%) at 22 h; D (66.7%), IS (63.3%), ID (73.3%) and ISD (76.7%) at 26 h; and D (86.7%), IS (85.0%) and ID (78.3%) at 30 h. Higher cleavage occurred on ISD (80.0%) at 22 h; ID (83.3%) and ISD (91.7%) at 26 h; and 1 (86.7%), IS (90.0%), ID (85.0%) and ISD (95.0%) at 30 h. More blastocysts were achieved in ID (25.0%) and ISD (18.3%) at 22h; and in ID at 26h (45.0%) and 30h (50.0%). We also observed that IS allowed higher haploid (77.4%) embryonic development, whilst ID was better for diploid (89.1%) development. It was concluded that association of S and D without I was not effective for blastocyst development; treatments using S were less influenced by oocyte age, but when S was associated with D there was a detrimental effect on aged oocytes; treatment ISD promoted higher activation and cleavage rates in young oocytes and ID protocol was the best for producing blastocysts.

Uso de técnicas de otimização baseadas em derivadas como suporte do planejamento operacional de redes de distribuição de energia elétrica

The usual programs for load flow calculation were in general developped aiming the simulation of electric energy transmission, subtransmission and distribution systems. However, the mathematical methods and algorithms used by the formulations were based, in majority, just on the characteristics of the transmittion systems, which were the main concern focus of engineers and researchers. Though, the physical characteristics of these systems are quite different from the distribution ones. In the transmission systems, the voltage levels are high and the lines are generally very long. These aspects contribute the capacitive and inductive effects that appear in the system to have a considerable influence in the values of the interest quantities, reason why they should be taken into consideration. Still in the transmission systems, the loads have a macro nature, as for example, cities, neiborhoods, or big industries. These loads are, generally, practically balanced, what reduces the necessity of utilization of three-phase methodology for the load flow calculation. Distribution systems, on the other hand, present different characteristics: the voltage levels are small in comparison to the transmission ones. This almost annul the capacitive effects of the lines. The loads are, in this case, transformers, in whose secondaries are connected small consumers, in a sort of times, mono-phase ones, so that the probability of finding an unbalanced circuit is high. This way, the utilization of three-phase methodologies assumes an important dimension. Besides, equipments like voltage regulators, that use simultaneously the concepts of phase and line voltage in their functioning, need a three-phase methodology, in order to allow the simulation of their real behavior. For the exposed reasons, initially was developped, in the scope of this work, a method for three-phase load flow calculation in order to simulate the steady-state behaviour of distribution systems. Aiming to achieve this goal, the Power Summation Algorithm was used, as a base for developing the three phase method. This algorithm was already widely tested and approved by researchers and engineers in the simulation of radial electric energy distribution systems, mainly for single-phase representation. By our formulation, lines are modeled in three-phase circuits, considering the magnetic coupling between the phases; but the earth effect is considered through the Carson reduction. It s important to point out that, in spite of the loads being normally connected to the transformer s secondaries, was considered the hypothesis of existence of star or delta loads connected to the primary circuit. To perform the simulation of voltage regulators, a new model was utilized, allowing the simulation of various types of configurations, according to their real functioning. Finally, was considered the possibility of representation of switches with current measuring in various points of the feeder. The loads are adjusted during the iteractive process, in order to match the current in each switch, converging to the measured value specified by the input data. In a second stage of the work, sensibility parameters were derived taking as base the described load flow, with the objective of suporting further optimization processes. This parameters are found by calculating of the partial derivatives of a variable in respect to another, in general, voltages, losses and reactive powers. After describing the calculation of the sensibility parameters, the Gradient Method was presented, using these parameters to optimize an objective function, that will be defined for each type of study. The first one refers to the reduction of technical losses in a medium voltage feeder, through the installation of capacitor banks; the second one refers to the problem of correction of voltage profile, through the instalation of capacitor banks or voltage regulators. In case of the losses reduction will be considered, as objective function, the sum of the losses in all the parts of the system. To the correction of the voltage profile, the objective function will be the sum of the square voltage deviations in each node, in respect to the rated voltage. In the end of the work, results of application of the described methods in some feeders are presented, aiming to give insight about their performance and acuity

Uso de técnicas de otimização baseadas em derivadas como suporte do planejamento operacional de redes de distribuição de energia elétrica

The usual programs for load flow calculation were in general developped aiming the simulation of electric energy transmission, subtransmission and distribution systems. However, the mathematical methods and algorithms used by the formulations were based, in majority, just on the characteristics of the transmittion systems, which were the main concern focus of engineers and researchers. Though, the physical characteristics of these systems are quite different from the distribution ones. In the transmission systems, the voltage levels are high and the lines are generally very long. These aspects contribute the capacitive and inductive effects that appear in the system to have a considerable influence in the values of the interest quantities, reason why they should be taken into consideration. Still in the transmission systems, the loads have a macro nature, as for example, cities, neiborhoods, or big industries. These loads are, generally, practically balanced, what reduces the necessity of utilization of three-phase methodology for the load flow calculation. Distribution systems, on the other hand, present different characteristics: the voltage levels are small in comparison to the transmission ones. This almost annul the capacitive effects of the lines. The loads are, in this case, transformers, in whose secondaries are connected small consumers, in a sort of times, mono-phase ones, so that the probability of finding an unbalanced circuit is high. This way, the utilization of three-phase methodologies assumes an important dimension. Besides, equipments like voltage regulators, that use simultaneously the concepts of phase and line voltage in their functioning, need a three-phase methodology, in order to allow the simulation of their real behavior. For the exposed reasons, initially was developped, in the scope of this work, a method for three-phase load flow calculation in order to simulate the steady-state behaviour of distribution systems. Aiming to achieve this goal, the Power Summation Algorithm was used, as a base for developping the three phase method. This algorithm was already widely tested and approved by researchers and engineers in the simulation of radial electric energy distribution systems, mainly for single-phase representation. By our formulation, lines are modeled in three-phase circuits, considering the magnetic coupling between the phases; but the earth effect is considered through the Carson reduction. Its important to point out that, in spite of the loads being normally connected to the transformers secondaries, was considered the hypothesis of existence of star or delta loads connected to the primary circuit. To perform the simulation of voltage regulators, a new model was utilized, allowing the simulation of various types of configurations, according to their real functioning. Finally, was considered the possibility of representation of switches with current measuring in various points of the feeder. The loads are adjusted during the iteractive process, in order to match the current in each switch, converging to the measured value specified by the input data. In a second stage of the work, sensibility parameters were derived taking as base the described load flow, with the objective of suporting further optimization processes. This parameters are found by calculating of the partial derivatives of a variable in respect to another, in general, voltages, losses and reactive powers. After describing the calculation of the sensibility parameters, the Gradient Method was presented, using these parameters to optimize an objective function, that will be defined for each type of study. The first one refers to the reduction of technical losses in a medium voltage feeder, through the installation of capacitor banks; the second one refers to the problem of correction of voltage profile, through the instalation of capacitor banks or voltage regulators. In case of the losses reduction will be considered, as objective function, the sum of the losses in all the parts of the system. To the correction of the voltage profile, the objective function will be the sum of the square voltage deviations in each node, in respect to the rated voltage. In the end of the work, results of application of the described methods in some feeders are presented, aiming to give insight about their performance and acuity

Sleep complaints and polysomnographic findings: A study of nuclear power plant shift workers

The literature widely recognizes that shift workers have more health complaints than the general population. The objective of this study was to describe the prevalence of sleep complaints and verify the polysomnographic (PSG) variables of shift workers in two Brazilian nuclear power plants. We carried out a subjective evaluation with a sleep questionnaire. Based on these results, the interviewees that reported sleep-related complaints were referred for polysomnographic evaluation. of the 327 volunteers initially evaluated by the sleep questionnaire, 113 (35%) reported sleep complaints; they were significantly older, had higher body mass index (BMI), and worked more years on shifts than those without sleep complaints. of these 113, 90 met criteria for various sleep disorders: 30 (9%) showed obstructive sleep apnea (OSA), 18 (5.5%) showed limb movement, and 42 (13%) evidenced both sleep problems and had a significantly higher proportion of sleep stage 1 and arousals compared with the 23 shift workers that had no indices of sleep problems. The present study found that 90 (27.5%) of the evaluated participants met the PSG criteria of some type of clinical sleep disorder. This high proportion should be investigated for associations with other aspects of work, such as working hours, working schedule, years performing shift work, and access to health services. Due to the strong association between sleep disorders and the incidence of fatigue and sleepiness, the evaluation of the sleep patterns and complaints of shift workers is essential and should be considered to be one of the basic strategies of industry to prevent accidents.

Neural Network-Based Approach for Identification of the Harmonic Content of a Nonlinear Load in a Single-Phase System

In this paper an alternative method based on artificial neural networks is presented to determine harmonic components in the load current of a single-phase electric power system with nonlinear loads, whose parameters can vary so much in reason of the loads characteristic behaviors as because of the human intervention. The first six components in the load current are determined using the information contained in the time-varying waveforms. The effectiveness of this method is verified by using it in a single-phase active power filter with selective compensation of the current drained by an AC controller. The proposed method is compared with the fast Fourier transform.