Energy Flow Optimization of Integrated Gas and Power Systems in Continuous Time and Space

Abstract

Due to the increasing penetration of gas-fired units and power to gas facilities, the electrical power system and natural gas system are more and more bi-directionally coupled.To tackle the challenges on the optimal scheduling operation of an integrated gas and power systems (IGPS), this paper focuses on developing a novel approach to build a continuous spatialtemporal optimal operation schedule model. In the light of different time constants of the electrical power and natural gas systems, the continuous spatial-temporal optimal operation schedule model of IGPS is formulated in function space. Additionally, Bernstein polynomials are used to reformulate the continuous spatial-temporal optimization problem of IGPS to mixed-integer linear programming. In the study cases, the simulation results of a simple integrated system and a combined IEEE 39-bus power system and Belgian natural gas network demonstrate the accuracy and effectiveness of the proposed model. Index Terms-Integrated gas and power systems, dynamic gas flow, optimal scheduling operation, wind power, function space. NOMENCLATURE AbbreviationsGFU Gas-fired unit. CFU Coal-fired unit. IGPS Integrated gas and power system. EPS Electrical power system. NGS Natural gas system. P2G Power to gas. MFR Mass flow rate. AE Algebraic equation. PDE Partial differential equation. Electrical Power System G k,τ The coeff. of real power of the kth unit on the interval [t, t + 1],

Dynamic energy flow analysis of integrated gas and electricity systems using the holomorphic embedding method

“…In recent years, more advanced models have been adopted instead, i.e., steady-state models considering linepack [12], quasi-dynamic models [13] and transient models [14,15]. In pursuit of higher fidelity, transient models are drawing increasing attention.…”