首次将量子粒子群优化算法用于水电系统经济运行研究中。该算法是量子理论与粒子群算法的融合，在粒子编码过程中引入了量子的态矢量表达，并将量子比特的概率幅表示应用于粒子的编码，使得粒子可以表达为多个态的叠加；在粒子更新操作过程中，利用量子逻辑门实现了粒子的演化，具有比常规粒子群算法更好的目标优化性能。仿真结果证实该算法可有效解决水电机组经济运行问题。性能对比显示，该算法求得的解优于常规粒子群算法及其它优化算法所求得的解。

It is the first time to apply quantum particle swarm optimization (QPSO) algorithm to research on hydropower system operation. QPSO algorithm merges quantum theory with particle swarm optimization (PSO), in which the state vectors expression of quantum is led into the coding of particles and the probability amplitude expression of quantum bit (q-bit) is applied to the coding of particles, thus one particle can be expressed as the superposition of multi-states; in the operation of particle updating the evolution of particles can be implemented by quantum logical gate, so its objective optimization performance is better than that of conventional particle swarm algorithm. Simulation results show that the proposed algorithm can effectively solve the economic operation of hydropower generating units. Performance comparison shows that the solution from the proposed method is better than those from conventional particle swarm algorithm and other optimization algorithm.

山东省教育厅科技计划项目(J07WJ10)

[1] 张森林．节能发电调度实用化措施框架体系[J]．电网技术，2008，32(20)：81-85． Zhang Senlin．A framework system of practicable measures for energy-saving power generation dispatching[J]．Power System Technology，2008，32(20)：81-85(in Chinese)． [2] 尚金成，张立庆．电力节能减排与资源优化配置技术的研究与应用[J]．电网技术，2007，31(22)：58-63． Shang Jincheng，Zhang Liqing．Research and application of technologies in energy-saving，emission-reducing and optimal resource allocation of electric power system[J]．Power System Technology，2007，31(22)：58-63(in Chinese)． [3] 张勇传．水电站经济运行原理[M]．北京：中国水利水电出版社， 1998． [4] Ni E M，Guan X H．Scheduling hydrothermal power systems with cascaded and head-dependent reservoirs[J]．IEEE Trans on PAS， 1999，14(3)：1127-1132． [5] Naresh R，Sharma J．Hydro system scheduling using ANN approach [J]．IEEE Trans on Power Systems，2000，15(1)：388-394． [6] 梁伟，何春元，陈守伦，等．改进混沌优化算法在水电站水库优化调度中的应用[J]．河海大学学报，2008，36(2)：195-197． Liang Wei，He Chunyuan，Chen Shoulun，et al．Application of modified chaos optimal algorithm in optimal regulation of a hydropower station reservoir[J]．Journal of Hohai University，2008， 36(2)：195-197(in Chinese)． [7] 贾嵘，李阳，丁建河，等．改进遗传算法在水电站日优化运行模型中的应用[J]．电网技术，2005，29(14)：77-80． Jia Rong，Li Yang，Ding Jianhe，et al．Application of improved genetic algorithm in daily optimal operation model for hydropower stations[J]．Power System Technology，2005，29(14)：77-80(in Chinese)． [8] 吴昌友，王福林，董志贵，等．改进粒子群优化算法在电力负荷组合预测模型中的应用[J]．电网技术，2009，33(2)：27-30． Wu Changyou，Wang Fulin，Dong Zhigui，et al．Application of improved particle swarm optimization in power load combination forecasting model[J]．Power System Technology，2009，33(2)：27-30(in Chinese)． [9] 张旭辉，张礼勇，梁宵．基于改进粒子群优化算法的电力线通信多径传输模型参数辨识[J]．电网技术，2009，33(1)：75-79． Zhang Xuhui，Zhang Liyong，Liang Xiao．Parameter identification of multi-path transmission model for power line communication based on improved particle swarm optimization[J]．Power System Technology，2009，33(1)：75-79(in Chinese)． [10] 符杨，徐自力，曹家麟．混合粒子群优化算法在电网规划中的应用[J]．电网技术，2008，32(15)：30-35． Fu Yang，Xu Zili，Cao Jialin．Application of heuristic particle swarm optimization method in power network planning[J]．Power System Technology，2008，32(15)：30-35(in Chinese)． [11] 武新宇，程春田，廖胜利，等．两阶段粒子群算法在水电站群优化调度中的应用[J]．电网技术，2006，30(20)：25-28． Wu Xinyu，Cheng Chuntian，Liao Shengli，et al．Application of two-stage particle swarm optimization algorithm in optimized dispatching of hydropower station group[J]．Power System Technology，2006，30(20)：25-28(in Chinese)． [12] 吕强，陈如清，俞金寿．量子连续粒子群优化算法及其应用[J]．系统工程理论与实践，2008，24(5)：122-130． Lü Qiang，Chen Ruqing，Yu Jinshou．Quantum continuous particle swarm optimization algorithm and its application[J]．Systems Engineering-theory & Practice，2008，24(5)：122-130(in Chinese)． [13] Sun J，Xu W B，Feng B．A global search strategy of quantum-behaved particle swarm optimization[C]．Proceedings of IEEE Conference on Cybernetics and Intelligent Systems，Singapore，2004． [14] Shor P W．Algorithms for quantum computation．Discrete logarithms and factoring[C]．Proceedings of the 35th Annual Symposium on Foundations of Computer Science，Los Alamitos，America，1994． [15] Grover L K．A fast quantum mechanical algorithm for database search[C]．Proceedings of 28th Annual ACM Symposium on the Theory of Computing，Philadelphia，America，1996．