الفهرس 
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Abstract
Data Value Equation
Battery power calculations
Nominal Voltage 72 v
Power Capacity 216 AH
Battery Pack Capacity 250 AH Battery (AH) = 1.2 * 216
Battery Pack Power 18 kwh Battery pack (WH) = V * AH
=72*250 AH
Required Energy for charging the Battery at SOC 50 %
9000 watts
Battery charger Output Power 5321watt
Time Needed To Full charge 1.8hr
Power Losses 2039 watt
Efficiency 72.3%
Battery charger calculations
Single phase source
Supply Voltage (RMS)
(Bridge rectifier input voltage) 230 V
Supply frequency 50 HZ
Rs , Ls 1 Ω , 3 mH
Maximum input voltage
V_(in max)=325,3 V Input voltage V_in = V_(in rms)√2sinwt
230 √2= 325,3=
Input current ( RMS) Iin (RMS) = 32 A I_in= S_in/V_in =7360/230
Maximum input current Iin max = 45.2 I_(in max)= I_in √2=32√2
Input apparent power (Sin) S_in= 7360 VA S_(in )= 〖V_in*I〗_in=230*32=7360 VA
Maximum apparent power
Sin(max) 14690 VA S_(inmax )= 〖V_inmax*I〗_inmax=325x45.2 =14690 VA
Power Factor (P.F) 0.9
Input active power (Pin) 6624 Watt
Input reactive power(Qin) 3208 VAR
Bridge efficiency 80.1%
Bridge rectifier output Power 5961 VA
Bridge rectifier output mean voltage Vout (Rectifier) , Vin (Buck) 207 V =0.9* V_(in (rms))
= 0.9*230 = 207 V
Bridge rectifier output mean current
Iin (Buck) , Iout (Rectifier)
= 28.8 A
Iout (Buck) = 5961 w/ 207 v = 28.8 A
Buck converter output
Charger Output voltage (Vout (Buck)) at Battery SOC= 50% 78 V
Buck converter ratio(D %) 38% = 0.38 D%= V_out/(V_in.)=T_on/T_sw =78/207=0.38
voltage ripples (∆V) ∆V=3 %
2.34 V = ∆V*Vout
=.03*78
Charger Output voltage (Vout (Buck)) 75-81 V 78 ±3%
buck output switching current Isw(Buck) 75.8 A Isw (Buck) = 28.8 /0.38
current ripple(∆I) ∆I=30 %
22.7 A ∆I= 0.3 * Iout =
0.3 * 82.3
Charger Output power( Pout (Buck)) 5321 watt Pout (Buck) = Vout x Iswxɳ
=78v*75.8*0.9=
International standard IEC 61000-3-12 on harmonic currents emission
Electromagnetic compatibility (CEM). Part 3-12: Limits of harmonic currents produced by units connected to public low voltage networks with input current > 16 A and ≤ 75 A per phase.
Standard IEEE-519-2014 on harmonic currents emission
IEEE Recommended Practice and Requirements for Harmonic Control in Electric Power Systems.