Simplified Reference Signal Generator Equation for

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Nevertheless, the conventional method becomes complex in determining the reference signal if the system's ac main voltage varied. Thus, this paper proposes a ...
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V dc 



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+

+ ½Vdc -

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Vdc

S1

B

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A

+ VAB C -

+ S2 ½Vdc -

C2

iac vac 

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Vref =

V peak Vdc

(vac + ωLiac ) 

 

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V peak V dc

[v

 ac

]

+ (ω L ) i ac − ωL v ac i ac VLQ (θ i − θ v ) 



ª v VLQ θ v + iac ωL FRVθ i º ∠θ ref = WDQ − « ac »  «¬ vac FRVθ v − iac ωL VLQ θ i »¼

B. Proposed Simplified Equation 8QIRUWXQDWHO\ WKH FRQYHQWLRQDO HTXDWLRQ EHFRPHV FRPSOLFDWHGZKHQWKHDFPDLQYROWDJHvacDWQRPLQDOVWDQGDUG JULG YROWDJH IOXFWXDWHG ,W PHDQV WKH UHIHUHQFH VLJQDO Vref DOZD\VKDYHWREHUHFDOFXODWHGRQFHWKHDFPDLQYROWDJHvacLV YDULHG 7KHUHIRUH WKH VLPSOLILHG HTXDWLRQ LV FDSDEOH WR WDFNOH WKH YDULDWLRQ RI WKH DF PDLQ YROWDJH vac 6LPLODU WR WKH FRQYHQWLRQDO HTXDWLRQ WKH VLPSOLILHG HTXDWLRQ LV XVHG WR GHWHUPLQHWKHPDJQLWXGHDQGWKHSKDVHDQJOHRIWKHUHIHUHQFH VLJQDO Vref. 7KURXJK WKLV PHWKRG WKH FRPSOH[LW\ RI WKH UHIHUHQFHVLJQDOVrefLVUHGXFHGDQGWKHFRPSXWDWLRQDOEXUGHQLV GHFUHDVHGFRQFXUUHQWO\  7KHPDLQSXUSRVHRIWKHSURSRVHGPHWKRGLVWRUHGXFHWKH FRPSOH[LW\RIWKHHTXDWLRQ,WLQLWLDWHVDWWKHQHZYDOXHRIWKH DF PDLQ YROWDJH vac,new %HDU LQ PLQG WKLV PHWKRG RSHUDWHV XQGHU WKH VDPH GHPDQG RXWSXW SRZHU 7KHUHIRUH WKH QHZ DF PDLQ FXUUHQW iac,new KDYH WR EH UHPDLQHG LGHQWLFDOO\ ZLWK WKH GHVLUHGRXWSXWFXUUHQWiac7KHH[SUHVVLRQVIRUWKHQHZDFPDLQ YROWDJH vac,new WKH QHZ DF PDLQ FXUUHQW iac,new DQG WKH QHZ DSSDUHQWSRZHU6QHZDUHLQGLFDWHGEHORZ 

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vac new = vac + Δvac 

 

iac new = iac + Δiac 

 

S new = vac new iac new 

 

   

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Vref  new

   º V peak ª v ac new + (ωL ) iav new « »  = Vdc «− ωL v ac new iac new VLQ (θ i − θ v )» ¬ ¼

ª v ac new ∠θ ref new = WDQ − « «¬ v ac new

 VLQ θ v + i ac new ωL FRV θ i º  » FRV θ v − i ac new ωL VLQ θ i »¼

 

 

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Vref new = Vref + ΔVref 

 

ΔVref

§ V peak = ¨¨ © Vdc

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(

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ª º ωLP ∠θ ref new = WDQ − «  » + v n ω LQ ac ¬ ¼

 

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‫ס‬șref,new¶ UDGV 





















Equation

63(&,),&$7,212)7+(6,1*/(3+$6(+$/)%5,'*( ,19(57(5 Value

-5

ѐvac (%)

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Parameters

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