Mathematical Manipulation Of Pure Sine Wave Inverter Using .

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Mathematical Manipulation of Pure Sine Wave InverterUsing Atmel 89S2051Didik Rostyono (rostyono@webmail.bppt.go.id) & Harsono Hadi (harsono50@yahoo.com)IntroductionApproach used for creating the pure sine wave described in this paper is donethrough manipulation of mathematical representation of the original sine wave. It isdone by dividing half the sine wave into m (even number) segmentations, wherearea under a quarter of the sine wave from 0 to π/2 resembles series of the form[2n-1] where n 1, , m/2, while areas of the next quarter from π/2 to π willresemble series of the form [2n-1] where n m/2,., 1.Figure 1. Dividing the sine wave into small segmentsBlock Diagram & SchematicThe inverter will converts 12 Volt dc from battery into 110 Volt ac, 50 Hz, sinewave. Figure 2 and 3 show the block dagram and schemnatic circuit of the r89S2051TRAFOBStart/Stop ButtonBattery SensingReset ButtonPowerSupplyFigure 2. Block diagram of pure sine wave inverterFILTERLPF

Pulse train as shown in figures 5 is produced interchangeably from port (A)and port (B) by microcontroller 89S2051 during the positive half and negative half ofthe sine wave. The pulse train is then inputted to the MOSFET power switchingcircuit, which is next directed to the primary side of the transformer. Output of thesecondary side is shown in Figure 6, which then be filtered resulting in the sine waveas seen in figure 7, where amplitude attenuation can reach up to 50%. Measuredinverter output THD reaches 5-8%, where the largest harmonics appeared to be thesecond and third harmonics as shown in figure 8.12 VDC12 K12 K10 K12 K10 K12312V - 220V7805ResetGNDP3.71K5BUZER1K512 K2N39061001,2 mHAC LOAD AC OUTLET BC547P1.1P1.02 uF10 1K10 KXT1XT233 pf*)Low Voltage12 KP1.7P1.6BC547P3.1BC547*)10 K12 MHzVCCAT89S2051Start/StopRSTP3.02N39061 uFTitlePURE SINE INVERTERSizeADate:Document NumberMonday , July 16, 2007Figure 3. Schematic of Pure Sine InverterFigure 4. PCB of Pure Sine InverterRev0Sheet1of1

TestingFigure 5. Pulse train (m 10) of Atmel 89s2051Figure 6. Secondary Side Transformer Output

Figure 7. Filter OutputFigure 8. Harmonic measurement result (Hioki)

Listing Software; ; PROGRAM INVERTER OLEH: DIDIK ROSTYONO 2006; ;P1 INPUTP3 OUTPUT;P1.2 TOMBOL STARTP1.3 BATERE CEK;P3.0 DRIVER1P3.1 DRIVER2;P3.4 BUZZERP3.5 LED;INISIALISASI (BEEP PENDEK BEEP PANJANG)ORG 00HON:MOV P3,#20H;DRIVER OFF, BUZZER OFF, LED OFFACALL DELAI;TUNGGU 1/4 DETIKSETB P3.4;BEEP ONCLR P3.5;LED BIRU ONACALL DELAI;TUNGGU 1/4 DETIKCLR P3.4;BEEP OFFSETB P3.5;LED BIRU OFFACALL DELAI;TUNGGU 1/4 DETIKSETB P3.4;BEEP ONCLR P3.5;LED BIRU ONACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKCLR P3.4;BEEP OFFSETB P3.5;LED BIRU OFF;CEK KONDISI BATERE (LOW VOLTAGE 2 X BEEP PENDEK)CEK:JNB P1.3,MULAI;CEK KONDISI BATERECLR P3.5;LED BIRU ONSETB P3.4;BEEP ONACALL DELAI;TUNGGU 1/4 DETIKSETB P3.5;LED BIRU OFFCLR P3.4;BEEP OFFACALL DELAI;TUNGGU 1/4 DETIKCLR P3.5;LED BIRU ONSETB P3.4;BEEP ONACALL DELAI;TUNGGU 1/4 DETIKSETB P3.5;LED BIRU OFFCLR P3.4;BEEP OFFACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKSJMP CEK;INVERTER MENUNGGU PENEKANAN TOMBOL ONMULAI: SETB P3.5;LED BIRU OFFCLR P3.4;BEEP OFFMULAI1: JNB P1.2,START;BACA TOMBOL STARTCLR P3.5;LED BIRU ONACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKJNB P1.2,START;BACA TOMBOL STARTSETB P3.5;LED BIRU OFFACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKACALL DELAI;TUNGGU 1/4 DETIKAJMP CEK;INVERTER ONSTART: SETB P3.5;CLR P3.4;ACALL DELAI;ACALL DELAI;ACALL DELAI;ACALL DELAI;SETB P3.4;CLR P3.5;LED BIRU OFFBEEP OFFTUNGGU 1/4 DETIKTUNGGU 1/4 DETIKTUNGGU 1/4 DETIKTUNGGU 1/4 DETIKBEEP ONLED BIRU ON

ACALL DELAI;CLR P3.4;ACALL DELAI;;PWM GENERATORPULSE: JNB P1.2,ON;JB P1.3,ON;PWM:;RUTINDELAI:L1:L2:L3:TUNGGU 1/4 DETIKBEEP OFFTUNGGU 1/4 DETIKJIKA STOP DITEKAN KEMBALI KE AWALCEK KONDISI BATERECLR P3.0;CLR P3.1;SETB P3.0;ACALL PULSE TRAIN;CLR P3.0;CLR P3.1;ACALL PULSE TRAIN;CLR P3.0;CLR P3.1;AJMP PULSEDELAI1MOV R1,#2MOV R2,#250MOV R3,#250DJNZ R3,L3DJNZ R2,L2DJNZ R1,L1RET

Figure 1. Dividing the sine wave into small segments Block Diagram & Schematic The inverter will converts 12 Volt dc from battery into 110 Volt ac, 50 Hz, sine wave. Figure 2 and 3 show the block dagram and schemnatic circuit of the inverter. Driver 89S2051 B A Micro Controller Switching MOSFET Start/Stop Button Battery Sensing Reset Button .

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