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Published at November 21

Privacy-Preserving Power Flow Analysis via Secure Multi-Party Computation

cs.CR

eess.SY

Released Date: November 21, 2024

Authors: Jonas von der Heyden, Nils Schlüter, Philipp Binfet, Martin Asman, Markus Zdrallek, Tibor Jager, Moritz Schulze Darup

Arxiv: http://arxiv.org/abs/2411.14557v1

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Notation
$\floor{\cdot},\left\lfloor\cdot\right\rceil$	component-wise flooring, rounding
$a\!\mod p$	$a$ modulo $p$
$[a]$	secret-shared number
$[a]^{(i)}$	$i$ th share of a
$\mathbb{Z}_{p}$	field of integers modulo $p$
$\Pi$	Protocol
$\mathcal{F}$ , $\mathcal{S}$ , $\mathcal{Z}$	Functionality, Simulator, Environment
$a^{*}$	complex conjugation
$\boldsymbol{a}\leq\boldsymbol{b}$	component-wise comparison of vectors
$\operatorname*{diag}(\boldsymbol{a})$	zero matrix but with $\boldsymbol{a}$ on its diagonal
$a_{i}$	$i$ th instance of scalar $a$ , $i$ th element of vector $\boldsymbol{a}$
$\boldsymbol{a}_{k}$ , $a_{k,i}$	$k$ th instance of vector $\boldsymbol{a}$ , $i$ th element of $\boldsymbol{a}_{k}$
$A_{ij}$	element $ij$ of the matrix $\boldsymbol{A}$
$\boldsymbol{A}_{i,:},\boldsymbol{A}_{:,i}$	$i$ th column, $i$ th row of the matrix $\boldsymbol{A}$