To solve the key issues of unreasonable carbon responsibility allocation

inaccurate accounting method

and insufficient exploration of low-carbon dispatch potential by user side in integrated energy systems (IES) under multiple market mechanisms

an optimal operation strategy for IES considering energy-carbon coupling response under the green certificate-carbon market mutual recognition mechanism is proposed. First

an in-depth analysis of the carbon reduction effects of green certificate and green electricity is conducted. Based on the carbon emission flow (CEF) theory

we propose a carbon accounting method for IES participating in green certificate and green electricity consumption. An effective link mechanism between green certificates and carbon markets is designed to break through the bottlenecks hindering market interconnection. Next

we construct an IES carbon flow model with diversified energy storages to characterize the spatiotemporal transfer law of carbon emission throughout the entire process of energy production

transmission

conversion and consumption

thus obtaining the nodal carbon intensity of each energy load on the user side

and formulating a dynamic energy-carbon price incentive mechanism. Then

considering the subjective willingness of users to participate in integrated price response

combined with consumer psychology

a multivariate demand response model based on response uncertainty is established. Finally

an IES bi-level optimal model is constructed

and the bisection-based method is adopted to solve iterative oscillation and improve the convergence rate. The advantages of the proposed model and method in accurately calculating carbon emissions

significantly reducing system total costs

and effectively enhancing user participation and flexibility in carbon reduction are verified through numerical simulations.