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Stability Analysis of an All-Electric Ship MVDC Power Distribution ...

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three-PDM ISP architecture proposed for the <strong>MVDC</strong> <strong>Power</strong><br />

<strong>Distribution</strong> System for the <strong>All</strong>-<strong>Electric</strong> <strong>Ship</strong>. Frequency <strong>an</strong>d<br />

time domain results have validated the proposed method.<br />

350<br />

300<br />

250<br />

Vbus<br />

Magnitude <strong>of</strong> Z bus<br />

60<br />

Estimation with FFFB<br />

200<br />

Analytical TF with FFFB<br />

Magnitude [dB]<br />

40<br />

20<br />

0<br />

Analytical TF with FB only<br />

Estimation with FB only<br />

150<br />

100<br />

150<br />

100<br />

R = 10 ohm -> 20 ohm<br />

R = 20 ohm -> 10 ohm<br />

Vabc<br />

FB only<br />

FFFB<br />

50<br />

-20<br />

10 1 10 2 10 3 10 4<br />

0<br />

Phase <strong>of</strong> Z bus<br />

-50<br />

100<br />

-100<br />

0<br />

-150<br />

R = 10 ohm -> 20 ohm<br />

R = 20 ohm -> 10 ohm<br />

0.1 0.15 0.2 0.25<br />

Phase [deg]<br />

-100<br />

(a)<br />

-200<br />

350<br />

Vbus<br />

-300<br />

10 1 10 2 10 3 10 4<br />

Frequency [Hz]<br />

Figure 12: Z bus estimation through PRBS injection <strong>an</strong>d comparison with<br />

<strong>an</strong>alytical tr<strong>an</strong>sfer functions for the cascade <strong>of</strong> buck converter <strong>an</strong>d VSI <strong>an</strong>d the<br />

addition <strong>of</strong> a 300W CPL.<br />

300<br />

250<br />

200<br />

150<br />

100<br />

REFERENCES<br />

[1] Parker, D.S.; Hodge, C.G., "The electric warship [electric propulsion],"<br />

<strong>Power</strong> Engineering Journal, Volume: 12 Issue: 1 , Feb. 1998, Page(s): 5<br />

-13.<br />

[2] Clayton, D.A.; Sudh<strong>of</strong>f, S.D.; Grater, G.F., "<strong>Electric</strong> ship drive <strong>an</strong>d<br />

power system," <strong>Power</strong> Modulator Symposium, 2000. Conference<br />

Record <strong>of</strong> the 2000 Twenty-Fourth International, 2000, Page(s): 85 -88.<br />

[3] N. Doerry, Next Generation Integrated <strong>Power</strong> Systems, NGIPS Master<br />

Pl<strong>an</strong>, Whashington, DC: Naval Sea Systems Comm<strong>an</strong>d, 2007.<br />

[4] IEEE Std 1709-2010, "IEEE Recommended Practice for 1 kV to 35 kV<br />

Medium-Voltage DC <strong>Power</strong> Systems on <strong>Ship</strong>s," IEEE Std 1709-2010,<br />

vol., no., pp.1-54, Nov. 2 2010.<br />

[5] Emadi, A. Khaligh, C. H. Rivetta, <strong>an</strong>d G. A. Williamson, "Const<strong>an</strong>t<br />

power loads <strong>an</strong>d negative imped<strong>an</strong>ce instability in automotive systems:<br />

definition, modeling, stability, <strong>an</strong>d control <strong>of</strong> power electronic<br />

converters <strong>an</strong>d motor drives," IEEE Tr<strong>an</strong>s. Vehicular Technology, vol.<br />

55, pp. 1112-1125, Jul. 2006.<br />

[6] Y. J<strong>an</strong>g <strong>an</strong>d R. W. Erickson, "Physical origins <strong>of</strong> input filter<br />

oscillations in current programmed converters," IEEE Tr<strong>an</strong>s. <strong>Power</strong><br />

Electronics, vol. 7, no. 4, pp. 725-733, Jul. 1992.<br />

[7] Emadi, A.; Ehs<strong>an</strong>i, A.; , "Dynamics <strong>an</strong>d control <strong>of</strong> multi-converter DC<br />

power electronic systems ," <strong>Power</strong> Electronics Specialists Conference,<br />

2001. PESC. 2001 IEEE 32nd Annual , vol.1, no., pp.248-253 vol. 1,<br />

2001.<br />

[8] A. Emadi, B. Fahimi, <strong>an</strong>d M. Ehs<strong>an</strong>i, "On the concept <strong>of</strong> negative<br />

imped<strong>an</strong>ce instability in adv<strong>an</strong>ced aircraft power systems with const<strong>an</strong>t<br />

power loads," Society <strong>of</strong> Automotive Engineers (SAE) Journal, Paper<br />

No. 1999-01-2545, 1999.<br />

[9] Middlebrook, R.D., "Input Filter Considerations in Design <strong>an</strong>d<br />

Application <strong>of</strong> Switching Regulators," IEEE IAS Annual Meeting,<br />

1976.<br />

[10] Wildrick, C.M.; Lee, F.C.; Cho, B.H.; Choi, B.; , "A method <strong>of</strong><br />

defining the load imped<strong>an</strong>ce specification for a stable distributed power<br />

system," <strong>Power</strong> Electronics, IEEE Tr<strong>an</strong>sactions on , vol.10, no.3,<br />

pp.280-285, May 1995.<br />

[11] Xiaog<strong>an</strong>g Feng; Zhihong Ye; Kun Xing; Lee, F.C.; Borojevic, D.; ,<br />

"Imped<strong>an</strong>ce specification <strong>an</strong>d imped<strong>an</strong>ce improvement for DC<br />

distributed power system," <strong>Power</strong> Electronics Specialists Conference,<br />

1999. PESC 99. 30th Annual IEEE , vol.2, no., pp.889-894 vol.2, 1999.<br />

50<br />

150<br />

100<br />

50<br />

0<br />

-50<br />

-100<br />

-150<br />

240<br />

220<br />

200<br />

180<br />

160<br />

150<br />

100<br />

50<br />

0<br />

-50<br />

-100<br />

-150<br />

300<br />

250<br />

200<br />

150<br />

100<br />

50<br />

0<br />

Vref = 90 Vpk -> 45 Vpk<br />

Vref = 90 Vpk -> 45 Vpk<br />

Vref = 45 Vpk -> 90 Vpk<br />

0.1 0.15 0.2 0.25<br />

Vabc<br />

Vref = 45 Vpk -> 90 Vpk<br />

(b)<br />

Vbus<br />

Vabc<br />

P_CPL<br />

0.05 0.1 0.15 0.2 0.25<br />

(c)<br />

Figure 13: Time-domain results for the cascade <strong>of</strong> buck converter <strong>an</strong>d VSI<br />

with the addition <strong>of</strong> a 300W CPL connected to the bus. Comparison <strong>of</strong> FB<br />

only <strong>an</strong>d FFFB in correspondence to (a) bal<strong>an</strong>ced resistive step applied to the<br />

VSI, (b) voltage reference step applied to the VSI, <strong>an</strong>d (c) CPL power step.<br />

FB only<br />

FFFB<br />

FB only<br />

FFFB<br />

418

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