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Abstract

Based on the critical gradient model , the combination of the TGLFEP code and EPtran code is employed to predict energetic particle (EP) transport induced by Alfvén eigenmodes (AEs). To be consistent with the experimental results, the model was improved recently by taking into consideration the threshold evolution and orbit loss mechanism. The threshold is modified to be the normalized critical gradient ((d n/d r)/( n/ a)) instead of the critical gradient (d n/d r), and the new threshold is defined as a function inversely proportional to the EP density as obtained by the TGLFEP code. Additionally, the EP loss cone calculated by ORBIT is added into the EPtran code, which provides an important additional core loss channel for EPs due to finite orbits. With these two improvements, the EP redistribution profiles are found to very well reproduce the experimental profiles of two DIII-D validation cases (#142111 and #153071) with multiple unstable AEs and large-scale EP transport. In addition, a neural network is established to replace TGLFEP for critical gradient calculation, and EPtran code is rewritten with parallel computing. Based on this, a module of EP is established and it is added into the integrated simulation of OMFIT framework. The integrated simulation of HL-3 with AE transported neutral beam EP profile indicates that EP transport reduces the total pressure and current as expected, but under some condition it could also raise the safety factor in the core.

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Authors and contacts

Corresponding author:Zou Yun-Peng,zouyunpeng@swip.ac.cn

Funds:Project supported by the National Key R&D Program of China (Grant Nos. 2019YFE03020000, 2018YFE0304103) and the National Natural Science Foundation of China (Grant No. 12105084).

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	变量	符号	表达式
1	电子密度	n_e
2	电子温度	T_e
3	电子密度特征长度	rlns_e	$ -\displaystyle\frac{a}{{n}_{{\rm{e}}}}\frac{\partial {n}_{{\rm{e}}}}{\partial r} $
4	电子温度特征长度	rlts_e	$ -\displaystyle\frac{a}{{T}_{{\rm{e}}}}\frac{\partial {T}_{{\rm{e}}}}{\partial r} $
5	磁面对应的小半径	r_min	$ {r}/{a} $
6	安全因子	q
7	磁剪切	q_prime	$ \displaystyle\frac{{q}^{2}{a}^{2}}{{r}^{2}}s $
8	压强梯度	p_prime	$ \displaystyle\frac{q{a}^{2}}{r{B}^{2}}\frac{\partial p}{\partial r} $
9	高能量粒子温度	taus_EP	T_EP/T_e
10	高能量粒子温度特征长度	rlts_EP	$ -\displaystyle\frac{a}{{T}_{{\rm{E}}{\rm{P}}}}\frac{\partial {T}_{{\rm{E}}{\rm{P}}}}{\partial r} $
11	磁场强度	B
12	磁面对应的大半径	rmaj	$ {R}/{a} $
13	拉长比	kappa	κ
14	拉长比的剪切	s_kappa	$ \displaystyle\frac{r}{\kappa }\frac{\partial \kappa }{\partial r} $
15	三角形变	delta	δ
16	三角形变的剪切	s_delta	$ \displaystyle\frac{r}{\delta }\frac{\partial \delta }{\partial r} $
17	Shafranov位移	drmajdx	$ \displaystyle\frac{\partial R}{\partial x} $
18	小半径	a

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Vol. 72, Issue 21 - 2023-11-05

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