With the application and development of combined heat and power (CHP) techniques, the coupling of electrical and heat energy is gradually increasing. State estimation (SE) is essential to achieve the comprehensive and accurate operating status in an integrated electricity-heat system (IEHS). This article proposes a robust SE method based on second-order conic programming (SOCP) for IEHS. Firstly, auxiliary state variables and measurements are introduced to obtain the exact linear measurement equations for IEHS. Then, a robust SE model based on weighted least absolute values (WLAV) for IEHS is proposed. To further improve the estimation performance, the constraint conditions satisfied by auxiliary state variables are relaxed into second-order cone constraints and added to the proposed WLAV model, leading a SOCP-based robust SE method. Simulations demonstrate that the proposed method ensures a global optimal solution and has good robustness and high estimation accuracy.

中文翻译：

---

集成电热系统的基于SOCP的鲁棒状态估计方法

随着热电联产（CHP）技术的应用和发展，电能和热能的耦合逐渐增加。状态估计（SE）对于在集成的电热系统（IEHS）中获得全面而准确的运行状态至关重要。本文针对IEHS提出了一种基于二阶圆锥编程（SOCP）的鲁棒SE方法。首先，引入辅助状态变量和测量值以获得IEHS的精确线性测量方程。然后，针对IEHS，提出了一种基于加权最小绝对值（WLAV）的鲁棒SE模型。为了进一步提高估计性能，将辅助状态变量满足的约束条件放宽为二阶锥约束，并添加到所提出的WLAV模型中，从而提出了基于SOCP的鲁棒SE方法。