We consider a distributed optimal power flow formulated as an optimization problem that maximizes nondifferentiable concave function. Solving such by the existing algorithms can lead to data privacy issues because solution information exchanged within be utilized adversary infer data. To preserve privacy, in this paper we propose differentially private projected subgradient (DP-PS) algorithm in...

Abstract Optimal power flow (OPF) plays an important role in the secure and economical operation of distribution network. This paper proposes a novel generalized linear‐constrained optimal (GLOPF) model for both radial mesh networks, which iteratively approaches solution to original OPF problem. The first‐order Taylor series approximation method is applied linearize non‐linear non‐convex constr...

This paper is devoted to revealing some properties of the probabilistic optimal power flow (POPF) problem. In conjunction with Hermite polynomial model, Nataf transformation introduced map POPF problem independent standard normal space. Firstly, a multivariate model employed represent function relationship between inputs and outputs. Then, moment matching equations are derived characterize unce...

This paper presents mechanical characteristics of Switched Reluctance Motor (SRM) when it operates in Discontinuous Conduction Mode (DCM) or in Continuous Conduction Mode (CCM), i.e. when the current through the phase coils (windings) flows discontinuously or continuously. Firstly, in order to maximize the output power of SRM optimization of its control parameters was performed, such that the p...

Solving the optimal power flow problem is one of the main objectives in electrical power systems analysis and design. The modern optimization algorithms such as the evolutionary algorithms are also adopted to solve this problem, especially when the intermittency nature of generation resources are included, as in wind and solar energy resources, where the models are stochastic and non-linear. Th...