78
REFERENSI
[1]
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Power Electron. Spec. Conf., pp. 164-172, 1988. [2]
Erickson R.W., “Synthesis of Switched-Mode Converters”, Proc. IEEE Power
Electron. Spec. Conf., pp. 9-22, 1983. [3]
Maksimovic D., Cuk S., “General Properties and Synthesis of PWM DC-to-DC Converters”, Proc. IEEE Power Electron. Spec. Conf., pp. 515-525, 1989.
[4]
Landsman E.E., “A Unifying Derivation of Switching DC-DC Converter Topologies”,
Proc. IEEE Power Electron. Spec. Conf., pp. 239-243, 1979. [5]
Tymerski R., Vorperian V., “Generation and Classification of PWM DC-to-DC Converters”, IEEE Trans. On Aerospace and Electr. Syst. Vol. 24 No. 6, pp. 743-753, 1988.
[6]
Veerachary M., “Modelling and Analysis of Cascade Step-Down Converters”, IEE
Proc-Electr. Power Appl., Vol. 152, No. 1, pp. 41-50, 2005. [7]
Dijk E.v., Spruijt H., O’Sullivan., D.M., Klaassens J.B., “PWM-Switch Modelling of DCDC Converters”, IEEE Trans. Power Electr., Vol. 10 No. 6., pp. 659-665, 1995.
[8]
Bhat A., Tan F.D., “A Unified Approach to Characterization of PWM and Quasi-PWM Switching Converters: Topological Constraints, Classification, and Synthesis”, IEEE
Trans. Power Electr., Vol. 6 No. 4., pp. 719-726, 1991. [9]
Xue Y., et. al., “Topologies of Single-Phase Inverters for Small Distributed Power Generators: An Overview”, IEEE Trans. Power. Electr. Vol. 19 No. 5., pp. 13051314, 2004.
[10] Freeland S.D., “Techniques for the Practical Application of Duality to Power Circuits”,
IEEE Trans. Power Electr. Vol. 7 No. 2., pp. 374-384, 1992. [11] Dahono P.A., et al., “Output Ripple Analysis of Multiphase DC-DC Converters”, Proc.
IEEE PEDS’99, July 1999, Hongkong, pp. 626-631 [12] Dahono, P.A., “A New Multi Level DC-DC Converter”, Proc. of International
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Referensi
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Vol. PE-2 No. 1., pp. 72-78, 1987 [14] Dahono, P.A., Sato, Y., Kataoka, T., “Analysis of Switching and Conduction Losses in Hysteresis Current-Controlled Inverters”, Trans. IEE of Japan, Vol. 113-D No. 10., 1993 [15] Francisco, J., et. al., “Direct Voltage Control for Boost Converter”, Proc. of 1st
International Conf. on Electrical and Electronics Eng., 2004 [16] Dahono, P.A., Rizqiawan, A., “A New Approach to Synthesis of Static Power Converter”, Proc. of EECCIS 2008, Malang, 2008 [17] Dahono, P.A., Sutrisna, K.F., Rizqiawan, A., “Analisis Riak Konverter DC-DC Rasio Tegangan Tinggi”, Proc. of EECCIS 2008, Malang, 2008 [18] Dahono, P.A., Nugroho, K.A., Rizqiawan, A., “A Loss Evaluation of DC-DC Converters”, Proc. of EECCIS 2008, Malang, 2008 [19] Dahono, P.A., Sasongko, F., Rizqiawan, A., “Teknik Kendali Konverter DC-DC Topologi Baru”, Proc. of EECCIS 2008, Malang, 2008 [20] Mohan, N., Undelland, T.M., Robbins, W.P., “Power Electronics: Converters, Applications, and Design”, John Wiley & Sons, Inc., New Jersey, 2003
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80
LAMPIRAN
Suatu Pendekatan Baru Untuk Sintesis Topologi Konverter Daya Arwindra Rizqiawan - 23206305
Lampiran
1
Tabel 1. Persamaan analitik riak untuk ketiga jenis konverter Parameter Riak Arus
~
keluaran ( I L )
Konverter dc-dc dua fasa
untuk 0 ≤ α ≤ 1 / 2
untuk 0 ≤ α ≤ 1 / 2 Ed α (1 − 2α ) ( L2 ) f s 2 3
Ed α (α 2 − α + 0.25) L fs 4 3 untuk 1 / 2 ≤ α ≤ 1 Ed (1 − α )(2α − 1) L fs 4 3
untuk 1 / 2 ≤ α ≤ 1 Ed (1 − α )(2α − 1) ( L2 ) f s 2 3 Riak Tegangan Keluaran
Konverter dc-dc 3-level
1 2
jika 0 ≤ α ≤ 1 2 : Ed α (1 − 2α )(1 + 4α − 8α 2 )1 2 2 fs C (L + M ) 24 5
Konverter dc-dc rasio tinggi yang diusulkan
Ed α (1 − α ) L fs 4 3
(
Ed 1 α (1 − α ) 1 + 2α − 2α 2 LC 48 5 f s2
jika 1 2 ≤ α ≤ 1: Ed (1 − α )(2α − 1)(−3 + 12α − 8α 2 )1 2 2 fs C (L + M ) 24 5
Riak arus
untuk 0 ≤ α ≤ 1 / 2
sumber
⎡ I o (1 − 2α )α ⎤ 1 + 4α − 8α ⎢ ⎥ 2 48 5 ⎣ Ls C s f s ⎦ untuk 1 / 2 ≤ α ≤ 1
untuk 0 ≤ α ≤ 1 / 2 2
⎡ I o (2α − 1)(1 − α ) ⎤ − 3 + 12α − 8α 2 ⎢ ⎥ Ls C s f s2 48 5 ⎣ ⎦
Suatu Pendekatan Baru Untuk Sintesis Topologi Konverter Daya Arwindra Rizqiawan - 23206305
⎡ 2 I o (1 − 2α )α ⎤ 1 + 4α − 8α 2 ⎢ ⎥ 2 48 5 ⎣ Ls C s f s ⎦ untuk 1 / 2 ≤ α ≤ 1 ⎡ 2 I o (2α − 1)(1 − α ) ⎤ − 3 + 12α − 8α 2 ⎢ ⎥ L s C s f s2 48 5 ⎣ ⎦
⎡ I o (1 − α )α ⎤ 1 + 2α − 2α 2 ⎢ 2 ⎥ 180 ⎣ 8 Ls C s f s ⎦
)
Lampiran
2
Parameter
Tabel 2. Persamaan analitik rugi-rugi pada saklar untuk ketiga jenis konverter Konverter dc-dc dua fasa Konverter dc-dc 3-level Konverter dc-dc rasio tinggi yang diusulkan
Rugi – rugi penyaklaran
Rugi-rugi konduksi
Rugi-rugi total
1 1 ⎛ ⎞ Ed f s ⎜ C0 + C1 DI o + C2 DI o2 ⎟ 2 4 ⎝ ⎠
1 Ed f s ( C0 + C1 DI o + C2 DI o2 ) 2
1 Ed f s ( 2C0 + C1 (1 + D ) I o + C2 (1 + D ) I o2 ) 2
1 ⎛ ⎞ 2 ⎜ VT DI o + 2 RT DI o + VD (1 − D ) I o + ⎟ ⎜ ⎟ ⎜ 1 R (1 − D ) I 2 ⎟ ⎜ ⎟ D o ⎝2 ⎠
⎛ 2VT DI o + 2 RT DI o2 + 2VD (1 − D ) I o + ⎞ ⎜ ⎟ ⎜ 2 R (1 − D ) I 2 ⎟ o ⎝ D ⎠
⎛ VT (1 + D ) I o + RT (1 + D ) I o2 + ⎞ ⎜ ⎟ ⎜ V (1 − D ) I + R (1 − D ) I 2 ⎟ o D o ⎝ D ⎠
1 1 ⎛ ⎞ ⎛ 2⎞ ⎜ Ed f s ⎜ C0 + 2 C1 DI o + 4 C2 DI o ⎟ + ⎟ ⎝ ⎠ ⎟ ⎜ ⎜ ⎟ 1 2 ⎜ VT DI o + 2 RT DI o + VD (1 − D ) I o + ⎟ ⎜ ⎟ ⎜ 1 R 1− D I 2 ⎟ ) o ⎜2 D( ⎟ ⎝ ⎠
⎛1 ⎞ 2 ⎜ 2 Ed f s ( C0 + C1 DI o + C2 DI o ) + ⎟ ⎜ ⎟ 2 ⎜ 2VT DI o + 2 RT DI o + 2VD (1 − D ) I o + ⎟ ⎜ ⎟ 2 ⎜⎜ 2 RD (1 − D ) I o ⎟⎟ ⎝ ⎠
⎛1 ⎞ 2 ⎜ 2 Ed f s ( 2C0 + C1 (1 + α ) I o + C2 (1 + α ) I o ) + ⎟ ⎜ ⎟ 2 ⎜ VT (1 + α ) I o + RT (1 + α ) I o + ⎟ ⎜ ⎟ 2 ⎜⎜ VD (1 − α ) I o + RD (1 − α ) I o ⎟⎟ ⎝ ⎠
Suatu Pendekatan Baru Untuk Sintesis Topologi Konverter Daya Arwindra Rizqiawan - 23206305
