human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "linear quadratic programming based optimal power flow using linear power flow and absolute loss approximations"):
  Abstract: Abstract   This paper presents novel methods to approximate the nonlinear AC optimal power flow (OPF) into tractable linear/quadratic programming (LP/QP) based OPF problems that can be used for power system planning and operation. We consider a linear power flow and branch flow approximation and derive a power loss approximation in the form of absolute value functions that are suitable to cover a broader operating range. The key ideas are (1) to capture power losses and power flows in the full decision variable domain, (2) to combine these approximations to recast the nonlinear constraints of the OPF problem into linear ones, and (3) to solve the approximate OPF problem with off-the-shelf solvers in a non-iterative fashion. In this way, the problem complexity can be reduced significantly. In detail, we present four OPF approximation methods, in which we relax the absolute power loss functions as linear constraints. In a comprehensive case study the usefulness of our OPF methods is analyzed and compared with an existing OPF relaxation and approximation method. As a result, the errors on voltage magnitudes and angles are reasonable, while obtaining near-optimal results for typical scenarios. We find that our methods reduce significantly the computational complexity compared to the nonlinear AC-OPF making them a good choice for power system planning purposes.

Includes members:
  Member "optimal sizing and placement of distributed storage in low voltage networks":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "optimal placement and sizing of distributed battery storage in low voltage grids using receding horizon control strategies")
  Member "a linear programming approximation of ac power flows":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "chance constraints for improving the security of ac optimal power flow")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.SY(Systems and Control)