The application of mathematical optimization methods for water supply system design and operation provides the capacity to increase the energy efficiency and to lower the investment costs considerably. We present a system approach for the optimal design and operation of pumping systems in real-world high-rise buildings that is based on the usage of mixed-integer nonlinear and mixed-integer linear modeling approaches. In addition, we consider different booster station topologies, i.e. parallel and series-parallel central booster stations as well as decentral booster stations. To confirm the validity of the underlying optimization models with real-world system behavior, we additionally present validation results based on experiments conducted on a modularly constructed pumping test rig. Within the models we consider layout and control decisions for different load scenarios, leading to a Deterministic Equivalent of a two-stage stochastic optimization program. We use a piecewise linearization as well as a piecewise relaxation of the pumps’ characteristics to derive mixed-integer linear models. Besides the solution with off-the-shelf solvers, we present a problem specific exact solving algorithm to improve the computation time. Focusing on the efficient exploration of the solution space, we divide the problem into smaller subproblems, which partly can be cut off in the solution process. Furthermore, we discuss the performance and applicability of the solution approaches for real buildings and analyze the technical aspects of the solutions from an engineer’s point of view, keeping in mind the economically important trade-off between investment and operation costs.

数学优化方法在供水系统设计和运行中的应用提供了提高能源效率并显着降低投资成本的能力。我们基于混合整数非线性和混合整数线性建模方法，提出了一种用于现实世界中高层建筑中泵系统的最佳设计和运行的系统方法。此外，我们考虑了不同的升压站拓扑，即并联和串联并联的中央升压站以及分散式升压站。为了确认具有现实世界系统行为的基本优化模型的有效性，我们还基于在模块化构造的抽水试验台上进行的实验给出了验证结果。在模型中，我们考虑了针对不同负载场景的布局和控制决策，从而得出了两阶段随机优化程序的确定性等效项。我们使用分段线性化以及泵特性的分段松弛来得出混合整数线性模型。除了使用现成的求解器进行求解外，我们还提出了一种特定于问题的精确求解算法，以缩短计算时间。着重于对解决方案空间的有效探索，我们将问题分为较小的子问题，在解决过程中可以部分将其切断。此外，我们讨论了解决方案方法在实际建筑中的性能和适用性，并从工程师的角度分析了解决方案的技术方面，