Abstract
Power electronics is an active area of research which has widespread applications in safety and cost critical domains such as power grids, biomedical devices and avionics systems. The complexity of power electronic systems is rapidly reaching a point where it will become difficult to verify the correctness and robustness of underlying designs. In this paper, we propose to use a recent formalization of signal-flow-graphs in higher-order-logic for the formal analysis of power electronic converters, which are the foremost components of modern power electronic systems. In particular, we demonstrate the necessary steps to formally reason about the critical properties (e.g., efficiency, stability and resonance) of power electronic converters by using their corresponding signal-flow-graph based high-level models. In order to demonstrate the utilization of the proposed infrastructure, we present the formal analysis of a couple of widely used power converters, namely a pulse width modulation push-pull DC-DC converter and a 1-boost cell DC-DC converter.
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Notes
- 1.
In this paper, we use minimal HOL Light syntax in the presentation of definitions and theorems to improve the readability.
- 2.
Here the output node has an outgoing branch that does not follow the conventional designation of output (e.g., no outgoing branches). However, the transfer function is the same as the one obtained by adding a new output node and connecting it to the node
with transmittance equal to 1. Therefore, for the sake of simplicity, we did not add a new node that does not have physical meaning in the circuit.
with transmittance equal to 1. Therefore, for the sake of simplicity, we did not add a new node that does not have physical meaning in the circuit.References
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Beillahi, S.M., Siddique, U., Tahar, S. (2015). Formal Analysis of Power Electronic Systems. In: Butler, M., Conchon, S., Zaïdi, F. (eds) Formal Methods and Software Engineering. ICFEM 2015. Lecture Notes in Computer Science(), vol 9407. Springer, Cham. https://doi.org/10.1007/978-3-319-25423-4_17
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