Theoretical Design and Analysis of EDFA Gain Control System Based on Two-Level EDFA Model
Seong-Ho SONG, Seop-Hyeong PARK
1 Okchon, Chunchon, Gangwon 200-701, Korea
Abstract: In this paper, a disturbance observer (DOB) based erbium-doped fiber amplifier(EDFA) gain controller is proposed. In order to stabilize an EDFA gain in wavelength-division-multiplexing (WDM) channel add/drop networks, the channel add/drop is estimated based on a mathematical EDFA model and compensated using DOB technique. The performance of the proposed control method is theoretically analyzed using Lyapunov method. The performance of the proposed DOB-based gain control algorithm was investigated through simulations. Simulation results verify the excellent performance of the proposed gain control methodology.
Keywords: Erbium-Doped Fibre Amplifier, Gain Control, Mathematical Model, Disturbance Observer, Channel Add/Drop. Theoretical Analysis.
CITE THIS PAPER AS:
Seong-Ho SONG, Seop-Hyeong PARK, Theoretical Design and Analysis of EDFA Gain Control System Based on Two-Level EDFA Model, Studies in Informatics and Control, ISSN 1220-1766, vol. 22 (1), pp. 97-105, 2013. https://doi.org/10.24846/v22i1y201311
Control and management of erbium-doped fiber amplifiers (EDFAs) is an important design problem in the evolution towards a dynamic optical network . As wavelength- division -multiplexed networks increase in complexity, there remain a number of challenges, such as dealing with disturbances related to intrinsic network characteristics. The power level of each channel in WDM networks should be unchanged when channel add/drops or active rearrangements of network occur. Keeping the signal powers to a constant value is more important when the signals are amplified through EDFAs. At the EDFA, the change of the number of signals causes the change of the amplifier gain of each signal due to the cross gain saturation effect [2, 3, 4] which results in gain-related errors at the receivers.
To avoid this effect, several control methods have been developed [5-9]. One of them uses EDFA output as a feedback signal in an optical feedback control loop . The all-optical scheme has a drawback; the frequency of channel add/drop should be less than that of the relaxation oscillation frequency of EDFA, which is several hundred Hz. On the other hand, the mostly used one is an electrical scheme which controls the pump laser output electrically according to EDFA output signal level [9, 10].
Based on control theory, a systematic design approach has been introduced in  and some robustness has been also analyzed therein. However, most systems adopt traditional proportional, integral, derivative (PID) control, or need feed-forward perfect cancellation algorithms for gain control. As mentioned in , there have been no formal attempts to analyze the performance theoretically and systematically.
In this paper, theoretical performance analysis of EDFA gain control algorithm is carried out based on a mathematical EDFA model. As a nominal controller, a proportional-,integral controller is considered and a disturbance observer is considered as feed-forward control.
To our knowledge, this is the first attempt to theoretically analyze the performance of PI and feed forward control algorithm in EDFA control literature.
Singular perturbation approach  reduces the mathematical model to two level equation and disturbance observer technique [12,13] is adopted to compensate channel add/drop effects in this two-level model. The asymptotic performance is proven theoretically using Lyapunov method and through simulation results, the feasibility of the proposed algorithm is verified.
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