Clean energy and water are two crucial resources that must be delivered safely in every civilization. Water distribution and electricity transmission networks, which provide these precious resources, have traditionally been conceived of as independent, uncoupled systems. However, they are inextricably linked in what is known as the energy-water nexus in reality. This paper considers a nexus system constructed from combined water-power (CWP) and single water and power energy resources to satisfy the power and water demands. Furthermore, a robust optimization technique (ROT) is proposed to model the uncertainties of water and power demands. ROT models the worst realizations of the uncertain parameters. The obtained results are proper strategy for the conservative system operators. The robust-based optimization problem is solved using OQNLP solver under the GAMS software. Results state that by considering the proposed robust-based optimization model, the total operation cost will be increased by about 9.52% for the conservative operators.

清洁能源和水是每个文明都必须安全输送的两种重要资源。提供这些宝贵资源的配水和输电网络传统上被认为是独立的、非耦合的系统。然而，它们在现实中所谓的能量-水关系中有着千丝万缕的联系。本文考虑了一个由水电联合（CWP）和单一水电能源构建的联结系统，以满足电力和水的需求。此外，提出了一种鲁棒优化技术（ROT）来模拟水和电力需求的不确定性。ROT 对不确定参数的最坏实现进行建模。得到的结果是保守系统算子的正确策略。基于鲁棒的优化问题使用 GAMS 软件下的 OQNLP 求解器解决。结果表明，通过考虑所提出的基于鲁棒的优化模型，保守算子的总运营成本将增加约 9.52%。