TECHICAL Series MATHEMATICS • INFORMATICS • PHYSICS Series PHILOLOGY Series ECONOMIC SCIENCES Sereies EDUCATIONAL SCIENCES Series LAW AND SOCIAL SCIENCES Series
Mathematical Support of the Sine-Delta PWM Control Strategy for Three-Phase Inverter
(Suportul matematic al strategiei de comanda PWM sine-delta a invertorului trifazat)
Vol LXII • No. 4B/2010
Gheorghe Cremenescu, Florinel Dinu
Universitatea Petrol - Gaze din Ploieşti, Bd. Bucureşti 39, Ploieşti
e-mail: gcremenescu@upg-ploiesti.ro

 Keywords   three-phase inverter, sine-delta PWM control strategy, Matlab toolbox.

 Abstract
This paper deals with modeling of sine-delta PWM control strategy for three-phase inverter. The paper presents the mathematical model represented the intersection of sine and delta function, for the commutation program of the power switching devices of the three-phase bridge; this is a nonlinear equation which has not an exact solution represented by a mathematical function.
For generating sine-delta PWM control strategy by software it is proposed an approximated solution. The simulation of the mathematical support and the results were carried out using specific computational tools, such as Matlab toolbox, then the results can be loaded in a look-up table witch could be implemented on hardware inverter. The results of the simulation are very close to the theoretical ones; they confirm the validity of the proposed mathematical support.

 Rezumat
Această lucrare se ocupa cu modelarea strategiei de comanda PWM sine-delta a invertorului trifazat. Lucrarea prezintă modelul matematic, reprezentând intersecţia funcţiilor sinus si delta, al programului de comutaţie a dispozitivelor comutatoare de putere ale punţii trifazate; acesta este o ecuaţie neliniară care nu are o soluţie exactă reprezentata printr-o funcţie matematică.
Pentru generarea strategiei de comanda PWM sine-delta prin software este propus un suport matematic pentru o soluţie aproximata. Simularea suportului matematic si rezultatele au fost realizate utilizând un instrument de calcul specific, cum ar fi pachetul de programe Matlab, apoi rezultatele pot fi memorate in tabele de căutare care ar putea fi implementate pe structura hardware a invertorului. Rezultatele simulării sunt foarte apropiate de rezultatele teoretice; ele confirma validitatea suportului matematic propus.



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