A novel single Fourier series technique for the simulation and analysis of asynchronous pulse width modulation

Guinee, Richard A.; Lyden, C.

doi:10.1109/apec.1998.647679

Cited by 9 publications

(4 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…While decomposition techniques [2], implicit descriptions [3] and Kapteyn [4] or Lagrange [5] series have been reported, by far the most widely used method in literature is the double-Fourier-series (DFS) analysis based on 3D geometric wall-model representations of the PWM signal. The method was originally presented in [6] and [7] and later adopted for different 3-phase current-and voltage source PWM converters employing various PWM schemes.…”

Section: Introductionmentioning

confidence: 99%

Low-complexity analytical approximations of switching frequency harmonics of 3-phase N-level voltage-source PWM converters

Burkart

Kolar

2014

2014 International Power Electronics Conference (IPEC-Hiroshima 2014 - ECCE ASIA)

View full text Add to dashboard Cite

In this paper, analytical calculations of the switching frequency harmonics of PWM-controlled 3-phase voltage-source DC/AC power converters are presented. Detailed knowledge of the modulation-dependent spectra of such systems is highly valuable for the EMI filter design and the estimation of the high-frequency losses in the filter components and the load. The paper presents a formula for the calculation of the switching frequency harmonics which is simple and highly versatile. It can be applied to converters with arbitrary numbers of voltage levels N and in combination with a broad variety of modulation signals.All calculations are verified by means of simulations and show a high accuracy over a wide range of input parameters. Finally, an EMI filter design example demonstrates the practical application and benefits of the derived formula. The MATLAB code used for the calculations is provided at the end of the paper.

show abstract

Section: Introductionmentioning

confidence: 99%

Low-complexity analytical approximations of switching frequency harmonics of 3-phase N-level voltage-source PWM converters

Burkart

Kolar

2014

2014 International Power Electronics Conference (IPEC-Hiroshima 2014 - ECCE ASIA)

View full text Add to dashboard Cite

show abstract

“…The replacement of the PWM modulator with inverter lag by the MFS model results in considerable simplification of the BLMD description [IO] for simulation purposes and economy of CPU time [9]. BLMD model validation and accuracy are established [9] by comparing the simulated step response FC with actual test data in torque CONCLUSIONS A novel MFS description has been presented for modelling and simulation of PWM in a variety of applications with specific emphasis on inverter modelling in BLMD systems. A formal proof showing the validity of this methodology bas been presented with accuracy substantiated through PWM simulation for a variety of modulating reference signals with increasing severity in terms of amplitude and frequency variation.…”

Section: Blmd Model Simulation Resultsmentioning

confidence: 99%

“…The feedback current (FC) simulation for a typical high performance industrial BLMD application [9] is presented in Fig.6 where the MFS time function has been used to replicate the operation of a three phase PWM inverter. The replacement of the PWM modulator with inverter lag by the MFS model results in considerable simplification of the BLMD description [IO] for simulation purposes and economy of CPU time [9].…”

Section: Blmd Model Simulation Resultsmentioning

confidence: 99%

“…If the dual slope magnitudes of the camer waveform are equal then the resulting pulse train has a fixed unmodulated pulsewidth given by 7=Td2. This particular wavetrain fulfills the rBle of an unmodulated camer pulse sequence and is instrumental in the SFS formulation of the time function definition of the complete PWM process [9]. If an arbitrary signal is now fed to the comparator modulator then its amplitude comparison with the symmetrical camer results in a pulse sequence of varying width T&).…”

Section: A Description Of Natural Sampled Pwm Processmentioning

confidence: 99%

See 1 more Smart Citation

A novel modulated single fourier series time function for mathematical modelling and simulation of natural sampled pulse width modulation in high performance brushless motor drives

Guinee

Lyden²

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)

Self Cite

View full text Add to dashboard Cite

Absrracf -Pulsewidth Modulation (PWM) is widely used as an efficient power transfer mechanism in switch mode power supply dc to dc conversion, unintemptable power supplies (UPS), Class D audio power amplification, and in speed and torque control of industrial machine drives. For this reason very accurate and efficient simulation models of these industrial devices based on a power dispatch PWM kernel, which is a non linear process, are required during the computer aided design phase for performance related prediction and evaluation before hardware prototyping and large scale production begins. This is particularly important in the integrated circuit design of high fidelity Class D audio amplifiers and in embedded high performance industrial motor drives systems for robotic applications. In this paper a new mathematical model for PWM simulation and analysis is presented which is bared on a novel concept of a Modulated Single Fourier Series (MFS) time function. The validity of this analytical Fourier model is first proven and the accuracy is then checked by simulating the action of a classical natural sampled PWM analog comparator modulator fed with a triangular camer and a variety of arbitrary non periodic signals. Results are presented to establish the accuracy of the MFS stratcgy in high performance industrial BrushLess Motor Drive (BLMD) simulation, instead of classical iterative solutions of analog comparator modulator operation for PWM representation, with experimental test data. 1. INTRODUCTION PWM is the de facto industrial standard [I], as an energy saving strategy, for high efficiency power dispatch in a variety of high performance applications. These applications encompass embedded motive power systems with adjustable speed drives and torque actuatom [I], Class D power amplifiers in Hi-Fi audio applications [2], dc to ac inverters for UPS [3] and dc to dc converters for switch mode power supplies [4]. Power dispatch is accomplished in the last case [ 5 ] by means of a PWM switching regulator in the power conversion stage (PCS) while continuous variable voltage and frequency control of induction motor and BLMD systems is achieved by means of a sinusoidal reference PWM controlled inverter power amplifier stage. Wide bandwidth current loop control in high performance motor drives [6] relies on the asynchronous natural sampling mode for sinusoidal PWM as the preferred form of carrier modulation because of its inherent simplicity and ease of implementation using analog circuitry. In this instance a fixed high frequency triangulariramp camer sampling waveform along with a variable frequency and amplitude sinusoidal reference signal are fed to the inputs (iip) of a comparator modulator for each phase. The analog comparison at the intersection points of the two waveforms shown in Fig. 1 results in a two level width modulated pulse switching sequence which is used to control the inverter power amplifier output (oip) duty cycle. The camer frequency, for asynchronous operation, is chosen sufficiently high for harmon...

show abstract

A novel analytical technique for spectral analysis prediction in asynchronous pulsewidth modulated inverter systems

Guinee

Lyden²

ICECS'99. Proceedings of ICECS '99. 6th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.99EX357)

View full text Add to dashboard Cite

A novel single Fourier series technique for the simulation and analysis of asynchronous pulse width modulation

Cited by 9 publications

References 3 publications

Low-complexity analytical approximations of switching frequency harmonics of 3-phase N-level voltage-source PWM converters

Low-complexity analytical approximations of switching frequency harmonics of 3-phase N-level voltage-source PWM converters

A novel modulated single fourier series time function for mathematical modelling and simulation of natural sampled pulse width modulation in high performance brushless motor drives

A novel analytical technique for spectral analysis prediction in asynchronous pulsewidth modulated inverter systems

Contact Info

Product

Resources

About