PHWR模型在步回条件下的连续阶识别用于设计超阻尼功率跟踪控制器以增强反应堆安全性
Continuous Order Identification of PHWR Models Under Step-back for the Design of Hyper-damped Power Tracking Controller with Enhanced Reactor Safety
AI总结：
本文针对500 MWe压水堆建立了离散时间高整数阶线性传递函数模型，通过最小二乘估计法在八个不同运行点识别了非线性核反应堆模型，并利用合成频域数据识别了分数阶模型，以设计连续阶PID类补偿器，实现宽范围运行条件下的功率跟踪，提高反应堆安全性。
摘要：
本文首先对500 MWe压水堆建立了离散时间高整数阶线性传递函数模型，该堆具有高度非线性动态特性。通过最小二乘估计法及其四种变体，在八个不同的运行点（功率减少或步回条件）上识别了非线性核反应堆的离散时间模型。从这些识别出的离散时间模型的合成频域数据中，识别出具有采样连续阶分布的分数阶（FO）模型，这使得可以在复w平面中设计连续阶的PID类补偿器，以在广泛的运行条件下实现全局功率跟踪。尝试用不同层次的离散一致阶对PHWR进行建模，并阐述了可实现的精度以及建模和控制器设计中的隐藏问题。通过可信的仿真研究展示了所提出的反应堆建模和功率水平控制器设计的有效性。控制器将反应堆极点推至更高的黎曼叶中，从而使闭环系统超阻尼，确保在变化的直流增益下安全的反应堆运行，同时使功率跟踪时间响应略微迟钝，但确保了更大的安全余量。
英文摘要：
In this paper, discrete time higher integer order linear transfer function models have been identified first for a 500 MWe Pressurized Heavy Water Reactor (PHWR) which has highly nonlinear dynamical nature. Linear discrete time models of the nonlinear nuclear reactor have been identified around eight different operating points (power reduction or step-back conditions) with least square estimator (LSE) and its four variants. From the synthetic frequency domain data of these identified discrete time models, fractional order (FO) models with sampled continuous order distribution are identified for the nuclear reactor. This enables design of continuous order Proportional-Integral-Derivative (PID) like compensators in the complex w-plane for global power tracking at a wide range of operating conditions. Modeling of the PHWR is attempted with various levels of discrete commensurate-orders and the achievable accuracies are also elucidated along with the hidden issues, regarding modeling and controller design. Credible simulation studies are presented to show the effectiveness of the proposed reactor modeling and power level controller design. The controller pushes the reactor poles in higher Riemann sheets and thus makes the closed loop system hyper-damped which ensures safer reactor operation at varying dc-gain while making the power tracking temporal response slightly sluggish; but ensuring greater safety margin.
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