Simulation study on Sinusoidal Pulse Width Modulation based on Digital Signal Processing Technique
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1 Advanced Science and echnology Letter Vol.83 (ISA 015), pp Simulati tudy Sinuoidal Pule Width Modulati baed Digital Signal Proceing echnique Changyg Yin 1, Xiaoyu Sun 1, Shuo Huang 1, Hgxia Yu 1 1 Shenyang Intitute of Engineering, Shenyang , China culcrum@outlook.com Abtract. SPWM i an eential modulati algorithm in power electric device, but it i not eay for unkilled programmeror junior engineer to build the code effectively. Model programming with embedded target upporting package in Matlab / Simulink i a new method to replace the traditial code writing without complicacy. Comparing to the manual method, iti more effective with lower cot, and the mot importantly, it i more reliable. hi paper offer a popular aymmetric ampling SPWM prototype with algorithm deducti, code and model from Matlab RW-EC. Keyword: SPWM, Model programming, Matlab, DSP 1 Introducti SPWM i an eential modulati algorithm to make AC power output in power electric device,which are widely ued in generator[1], power cverter[]and flexible alternative current tranmii ytem (FACS)[3].However, it i not eay for unkilled programmer or junior engineer to implement the algorithm embedded platform (uch a DSP and everal MCU). Obviouly, engineer in power electric have uneven programming technique, and thi may lead to the unreliable problem to the developing ytem. In other word, the traditial manual code building method ha expectable rik to the developing ytem more or le. If ome method can make the engineer focu the developing idea but not the programming kill, it will peed up the project and reduce the total cot. Model programming i an efficient method to thi problem that it combined the reuable tandard code module with embedded ytem integrated developing envirment (IDE). It i believed that the model programming can offer auto-built code which can be at leat the ame efficient a the manual method by killed programmer in execute efficiency, and the teting data from Vite Corp. howed that the auto-built code ha 5% le requirement in both RAM and ROM pace while it aved more than 50% time. [4] And thi idea i proven to be more ecomic and maintainable by variou interactive report in large indutrial developing project with a famou illutrati uch a F35 fighter. ISSN: ASL Copyright 015 SERSC
2 Advanced Science and echnology Letter Vol.83 (ISA 015) SPWM Algorithm SPWM i to ue the lope wave to ample the ine wave in order to calculate every interecti, o that the witche can output the pule width which i the variati of ine wave. he frequency of the lope wave i N (N i 3 or everal time of 3) time of that of ine wave, and the ample value ctrol the witcheto turn and off. he comm ample method of SPWM are nature ampling, ymmetry regular ampling, and aymmetry regular ampling. Amg them, aymmetry ampling i the mot popular due to it imple calculati, which i uitable for real-time ignal proceing and the low harmic compent. According to the figure, ine wave need to be ampled twice in a lope wave period, e i the top and the other i the bottom. And the pule width calculati depend the two ample value i aymmetry. hat i where it name come. In Fig., t and t are the witch time, while toff and toff are the witch off time; i the ample interval, it alo the half of the lope wave period c. According to the imilar triangle, c N t (1 m in t ) 1 t (1 m in t ) off 1 t (1 m in t ) t (1 m in t ) off () Where, m i the modulati rate, which i the amplitude rate of ine wave and lope wave, and 0<m<1. m U U in max c max (3) According to the deduce above, it neceary to make the t1 and tdicrete to get the pule width uitable for DSP calculati. he width of k period i tw, while k i from 1 to N. t w t t m in[ ( 4 k 3)] m in[ ( 4 k 1)] (1) 4 c m in[ ( 4 k 3)] m in[ ( 4 k 1)] (4) 6 Copyright 015 SERSC
3 Advanced Science and echnology Letter Vol.83 (ISA 015) 3 SPWM Model Deigning I DSP MS30F81 i a popular chip widely ued in power electric and robot. he main rea i that it performance i good when running at the peed of 150MHz, and it peripheral reource are abundant. A a reult, Matlab/Simulink offered a target upport package of thi chip. An engineer without any high level programming technique can build a complex prototype by the model in the package, and then he can modify the etting in RW-EC tool to build the code automatically. Obviouly, the hardware and IDE and the oftware are linked together in all tep, hence the verificati and tet could be hardwareinloop (HIL). It can be eaily deduced that the code reliability can be reaable. he ample lope wave i generated by timer 1 of Event A module (EVA), which i cfigured in the PWM model. he interrupt model cfigure the two hardware interrupt: e calculate the CMPR of EVA, which refer to the pule width of a carrier wave period, at the time when the lope reache the bottom; the other i the ample point which happen the top or bottom of the lope wave, which i generated by timer of EVA. And the timer 1 period (regiter PR) i twice of timer PR becaue of the two ample in a period. A the period i et to 1m, the PR can et a So EV imer i ued to cfigure timer interrupt, and it happen at the underflow of timer. he two Data tore Memory block are two global variati, k count the tep in a ine period, Flg ign the ample whether i the top or bottom of the lope wave. Fig. 1.he SPWM Model Prototype Functi-Call ubytem i et to calculate t and t in a period. he inner tructure of it i hown in Figure.. Functi-Call ubytem 1 i to calculate the CMPR of EVA to generate PWM. he CMPR can be preent a the equality (5), where the EVA i the clock period of EVA. Copyright 015 SERSC 7
4 Advanced Science and echnology Letter Vol.83 (ISA 015) CMPR PR t t EVA (5) Fig..he Subytem Structure he two embedded Matlab functi in Figure.5 are ued to calculate the ample. Becaue the tructure of them are imilar, e module which wa written in m language of Matlab in order to adapt the tep parameter k i given a below: if k<=n ko=k; ifflg==0 kk=k; flag=1; ele kk=k+1; flag=0; end ele ko=1; kk=1; flag=0; end 4 Cclui hi paper offer a SPWM algorithm quick prototype by Matlab/SimulinkModel programming, and an implementati with DSP ha been teted, and the reult ha been analyzed by the helpful tool. 8 Copyright 015 SERSC
5 Advanced Science and echnology Letter Vol.83 (ISA 015) Reference 1. Li, J. G., Wang, X. D.: wo-phae Hybrid Stepping Motor SPWM Mini-tep Drive Baed DSP. S&N Electric Machine, 9, 31 (00). Liu, L., Qian, X. Z.: Modeling and Simulati of hree Phae Full Bridge SPWM Inverter baed Matlab", Electric Deign Engineering,, 139 (014) 3. Yang, X. F., Lin, Z. Q.: A Review of Modular Multilevel Cverter", Proceeding of the CSEE, 33, 1 (013) 4. Stuart, W., Erkkinen,.: Reducing CUE Software Cot by Multi-object Modeling echnology. EDN, (006) Copyright 015 SERSC 9
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