Multi-Lamp High-Power-Factor Electronic Ballast Using a Fixed-Frequency Self-Oscillating Driver

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Multi-Lamp High-Power-Factor Electronic Ballast Using a Fixed-Frequency elf-oscillating Driver MARO A. DALLA OTA, RAFAEL A. PINTO, ALEXANDRE AMPO, AND RIARDO N. PRADO Researching Group of Electronic Ballasts Federal University of anta Maria Av. Roraima, /N 97105900 anta Maria, R - BRAZIL Abstract This paper presents a fixed-frequency self-oscillating high-power-factor electronic ballast supplying four independent lamps. The fixed-frequency self-oscillating driver is achieved adding a L series filter supplying a small resistor. The primary winding of the self-oscillating transformer is the series inductor of the filter. o, if one or more lamps are damaged, the switching frequency will not change. To achieve the power-factor-correction, it is used a passive method, based on a modified valley-fill filter. In order to prove the proposed idea, it is shown the simulation and experimental results of the self-oscillating electronic ballast supplying four independent lamps. Key-Words: Multi-Lamp, High Power Factor, and elf-oscillating. 1 Introduction Fluorescent lamp performance is improved when the lamps are supplied by electronic ballasts instead of electromagnetic ballasts, due to theirs merits, such high efficacy, low audible noise, longer lamp useful life, small size, light weight, and without flicker [1]. elf-oscillating electronic ballasts are well known in the literature, due to its simplicity and low cost. However, the application of this circuit is, generally, limited to onelamp-ballasts, because of the self-oscillating switching frequency, which is dependent on the load []. Multi-lamp electronic ballasts commonly use imposed-frequency integrated circuits to drive the switches, which makes the ballast dependent on a specific dedicated circuit. Besides, luminaries to supply four lamps are a great area of artificial illumination [3]. Another point of concerning in the area of electronic ballasts is about the power quality. To solve this problem, there are power-factor-correction (PF) active and passive methods. Most used active method is the boost converter working in a discontinuous conduction mode, in a single stage mode. However, the boost converter circuit increases the voltage stress in the main device, and it is dissipative and not cost-effective because it operates with high peak triangular shape current. Besides, to work with variable load and no load, it demands additional power devices, passive components and control circuit [4]. Because of this, many authors prefer to use PF passive methods. Among these, valley-fill filter and its modifications are the most used. However, many valley-fill filter circuits do not answer to the IE 61000-3- lass standard. Therefore, this work intends to choose a circuit that answers the standard harmonic limits [5]. Fixed-Frequency elf-oscillating Driver The idea to develop the fixed frequency self-oscillating driver is to substitute one of the lamps by a resistor, and to connect the primary winding of the self-oscillating transformer in series with it. It is necessary to decrease the resistor s power to a small value in order to guarantee good ballast efficiency. It can be used a simple L series circuit in series with a resistor. Besides, the filter inductor can be the same primary winding of the self-oscillating transformer, using only one magnetic element (L P L m1 L m ). Proposed circuit, supplying four independent lamps, is shown in the Fig. 1..1 Fixed-Frequency elf-oscillating Driver Design Procedure In order to develop the design procedure of the proposed idea, it is necessary to analyze the stability of the selfoscillating driver when it is decreased the resistor s power. Extended Nyquist riterion is used to develop this stability analysis. The design can be divided on some steps, described below..1.1 Output Filter Design The output filter determines the resistor s power. At first, it is necessary to determine the phase angle, which is the angle between the voltage applied to the filter and the filter current, and it is shown in (1). Vac φ( P) = arctan( 1 ) (1) P. R. - Vac is the rms value of the voltage applied to the filter; - P is the defined resistor s power; - R is the defined resistor s value.

Now, choosing a usual value for (15 nf), we determine the value of inductor L P by (). L ( φ, P ) = R.. ω. tan( φ) + 1. ω. - ω: is the imposed angular switching frequency..1. elf-oscillating ircuit Design elf-oscillating switching frequency can be found using the Extended Nyquist riterion. onsidering the L series output filter, the self-oscillating magnetizing inductance can be determined by (3). L m1 = L m 1 (1 LP. = K. ω. n ω.. ω ) + R. 3 ω. L. - K: is the relationship between the voltage applied to the filter and the zener voltage; - n: is the self-oscillating transformer turn ratio. This value has to be determined in order to polarize the zener diodes using the current transformer L P L m1 L m. 3 elf-oscillating Driver imulation Results In order to prove the proposed methodology, it is presented a project example. The electronic ballast supplies four independent lamps (ORAM FO 3W / 841) that are represented by their model developed in [6], as shown in the Fig. 1. Output filter values are calculated based on [7]. The simulation results are shown to prove that, using the component values calculated by (1), (), and (3), the self-oscillating driver keeps its switching frequency constant (40 khz) when the ballast is supplying 1,, 3, or 4 lamps. Fig. shows the self-oscillating driver voltage, which determines the switching frequency, for the ballast supplying 1 and 4 lamps, and the frequency value keeps constant. Additional information is presented in the next section in the experimental results. P. ω. () (3) that flows by this capacitor causes a voltage increase in the capacitors f1 and f. Therefore, this circuit does not need any circuit to correct the crest factor value. 5 Experimental Results The experimental prototype was developed putting both ideas together: the fixed-frequency self-oscillating driver, and the passive power factor correction circuit. According to Fig. 4, component values are presented below: - f1, f: 100 µf; - f3: 6.8 nf; - P: 10 nf; - P1, P: nf; - Q: 100 nf; - r: 8 nf; - : 15 nf; - D1 D9: 1N4007; - DZ1 DZ4: zener 1 V; - LF: 4 mh; - Lm1, Lm: 1 mh; - LP: 16 mh; - L: 1.7 mh; - M1, M: IRF 740; - RFF: 0 kω; - RQ: 0 kω. Proposed circuit is shown in Fig. 4. ome experimental results are presented to prove the ballast behavior, in the Fig. 5: (a) presents ballast input voltage and current, to show the high power factor of the ballast for 1 lamp operation and (b) 4 lamp operation, (c) presents the ZV operation of the ballast, and (d) presents the lamp low crest factor (1.6). ome numerical results are presented in the Table 1, among them: power factor (PF), crest factor (F), input power (P in ), output power (P out ), ballast efficiency (η), switching frequency (f s ), and power dissipated in the driver (P com ). In Fig. 6 it is presented results of lamp starting, for the ballast supplying 1 and 4 lamps. These waveforms prove the lamp starting for all load conditions. In Table it is presented the result of the input current FFT, to confirm that the ballast meets the IE 61000-3- lass requirements. 4 Power-Factor-orrection ircuit Among the various configurations of the valley-fill filter presented in the literature, it was chosen a circuit that meets the IE 61000-3- lass requirements. This circuit, supplying one lamp, is shown in the Fig. 3. It can be seen that this proposed circuit only uses passive components. f3 is used to decrease the D bus voltage ripple, caused by the power-factor-correction circuit. The current Table 1 Experimental Results. 1 lamp lamps 3 lamps 4 lamps PF 0.93 0.96 0.95 0.97 F 1.5 1.50 1.50 1.51 P in (W) 35.4 70 10.5 137.4 P out (W) 3 63.4 95.1 16.9 η (%) 90.4 90.6 9.8 9.4 f s (khz) 35 35.4 35.9 36.3 P com (W) 0.35 0.34 0.36 0.36

Fig. 1 Fixed-frequency self-oscillating driver. (a) 4 lamps (40. khz). (b) 1 lamp (39.9 khz). Fig. Drive voltage simulation result. Fig. 3 Power-factor-correction proposed circuit.

Fig. 4 Experimental prototype. (a) Line voltage and current for 1 lamp operation (100V/div; 500mA/div) (b) Line voltage and current for 4 lamp operation (100V/div; 500mA/div) (c) witch voltage and current for 4 lamp operation (50V/div, 1A/div) Fig. 5 Experimental results. (d) 1 Lamp voltage and current envelopment for 4 lamp operation (100V/div; 00mA/div)

(a) 1 lamp operation (500 V/div; 500 ma/div) (b) 4 lamps operation (500 V/div; 500 ma/div) Fig. 6 Lamp starting result. Table FFT Result. harmonic 1 lamp lamps 3 lamps 4 lamps 3ª 11,4 8,1 3,5 4,6 5ª 5,7 5,1 4, 4 7ª 7 6,9 7 4,6 9ª 5 4,7 5 3,4 11ª - 39ª < 3 < 3 < 3 < 3 6 Discussion Proposed ballast is a great solution to 4-lamp luminaries. At first, the lamps have independent behavior. Therefore, if one or more lamps are damaged, the others still work. Besides, the self-oscillating driver is a low cost and reliable circuit. Its main problem was that the conventional self-oscillating driver is dependent on the load, changing its switching frequency when the load changed. o, proposed circuit is a great alternative to supply a variable load. And, its application is not limited to electronic ballasts. It has been done a study among many valley-fill circuits, which resulted in the circuit presented in the Fig. 3. This circuit uses only passive components, which means that this is a simple, cheap and reliable circuit. And, this circuit meets the IE 61000-3- lass requirements for all load conditions. 7 onclusion This paper presented a simple, and low cost high-powerfactor electronic ballast, to supply four independent lamps. The ballast presented power factor higher than 0.95, efficiency higher than 90%, ZV operation, crest factor lower than 1.7, and almost invariant switching frequency, for all load conditions. Besides, the ballast does not need any dedicated circuit to work. References: [1] HAMMER, E. E.; AND MGOWAN, T. K. haracteristics of Various F40 Fluorescent ystems at 60 Hz and High Frequency. IEEE Transactions on Industry Applications, vol. 1, n. 1, pp. 11-16, 1985. [] DALLA OTA, M. A.; PRADO, R. N.; EIDEL, A. R.; AND BIOGNO, F. E. elf-oscillating Dimmable Electronic Ballast to upply Two Independent Lamps. Industry Applications onference - IA, vol., pp. 1059-1064, October 00. [3] WU, T. F.; LIU, Y..; WU, Y. J.; AND HEUR, P. E. High Efficiency, Low tress Electronic Dimming Ballasts for Multiple Fluorescent Lamps. IEEE Industry Applications onference IA, vol. 3, pp. 380-387, October 1997. [4] WAKABAYAHI, F. T.; AND ANEIN,. A. Novel High-Power-Factor Isolated Electronic Ballast for Multiple Tubular Fluorescent Lamps. Industry Applications onference IA, vol. 1, pp. 30-37, eptember/october 001. [5] BRAGA, H. A..; AND MARQUE, R. N. Valley- Fill Filters Appllied to Electronic Ballasts. IV onferência de Aplicações Industriais INDUON, vol., pp. 611-616, november 000, Brazil. [6] DO PRADO, R. N.; ERVI, M.; EIDEL, Á. R.; AND BIOGNO, F. E. Fluorescent Lamp Model Based on the Equivalent Resistance Variation. IEEE Industry Applications ociety - IA, vol. 1, pp. 680-684, October 00. [7] DO PRADO, R. N.; EIDEL, A. R.; BIOGNO, F. E.; PAVÃO, R. K. elf-oscillating Electronic Ballast Design Based on the Point of View of ontrol ystem. IEEE Industry Applications onference IA, vol. 1, pp. 11-17, eptember/october 001.